Use this page to find all resources aligned with a particular North Carolina state standard. Simply input the standard, using dot notation, highlight it when it shows up on the drop-down list, and press Apply. You'll see a complete list of all Media4Math resources aligned with that standard.Download your standards report as a CSV file for your reference.To help you with the dot notation, each standard follows this structure.NC.GRADE.STANDARD.BENCHMARKThe table on the right shows the abbreviations for the different standards for K-8. For example, if you are a grade 3 teacher looking for Operations and Algebraic Thinking resources, simply input in the field below "NC.3.OA" and you'll see a drop-down list of possible standards for that grade and topic. Then select the appropriate one and press the Apply button. |
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NC Standards | Thumbnail | Title | Description | Curriculum Topic |
---|---|---|---|---|
NC.M4.SP.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability | |
NC.M4.SP.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability and Combinatorics | |
NC.M4.SP.1.4 | Math Definitions Collection: Statistics and Probability |
This collection aggregates all the definition image cards around the topic of Statistics and Probability terms and vocabulary. There are a total of 34 terms. | Data Analysis, Probability and Data Gathering | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Combination 2 |
Definition--Statistics and Probability Concepts--Combination 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Conditional Probability |
Definition--Statistics and Probability Concepts--Conditional Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Correlation 1 |
Definition--Statistics and Probability Concepts--Correlation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Correlation 2 |
Definition--Statistics and Probability Concepts--Correlation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Dependent Event |
Definition--Statistics and Probability Concepts--Dependent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Histogram |
Definition--Statistics and Probability Concepts--Histogram
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Independent Event |
Definition--Statistics and Probability Concepts--Independent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Mutually Exclusive Events |
Definition--Statistics and Probability Concepts--Mutually Exclusive Events
This is part of a collection of definitions on the topic of probability and statistics. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Permutation 2 |
Definition--Statistics and Probability Concepts--Permutation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Probability |
Definition--Statistics and Probability Concepts--Probability
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Sample Space |
Definition--Statistics and Probability Concepts--Sample Space
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Scatterplot |
Definition--Statistics and Probability Concepts--Scatterplot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot |
Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.SP.1.4 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.SP.1.4 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3: Pocket Aces |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3
In this tutorial, learn about the probability of drawing two aces consecutively from a deck of 52 cards. |
Probability | |
NC.M4.SP.1.4 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability | |
NC.M4.SP.1.4 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability and Combinatorics | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Statistic |
Definition--Statistics and Probability Concepts--Statistic
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Statistical Variability |
Definition--Statistics and Probability Concepts--Statistical Variability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Statistical Distribution |
Definition--Statistics and Probability Concepts--Statistical Distribution
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Random Sample |
Definition--Statistics and Probability Concepts--Random Sample
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Population |
Definition--Statistics and Probability Concepts--Population
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Probability Model |
Definition--Statistics and Probability Concepts--Probability Model
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Compound Events |
Definition--Statistics and Probability Concepts--Compound Events
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Causation |
Definition--Statistics and Probability Concepts--Causation
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Bivariate Data |
Definition--Statistics and Probability Concepts--Bivariate Data
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Probability Notation |
Definition--Statistics and Probability Concepts--Probability Notation
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Addition Rule of Probability |
Definition--Statistics and Probability Concepts--Addition Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Multiplication Rule of Probability |
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Permutation 1 |
Definition--Statistics and Probability Concepts--Permutation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Combination 1 |
Definition--Statistics and Probability Concepts--Combination 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Two-Way Frequency Table |
Definition--Statistics and Probability Concepts--Two-Way Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Correlation Coefficient |
Definition--Statistics and Probability Concepts--Correlation Coefficient
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Residuals |
Definition--Statistics and Probability Concepts--Residuals
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Relative Frequency Table |
Definition--Statistics and Probability Concepts--Relative Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Conditional Relative Frequency |
Definition--Statistics and Probability Concepts--Conditional Relative Frequency
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Joint Frequencies |
Definition--Statistics and Probability Concepts--Joint Frequencies
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.4 | Definition--Statistics and Probability Concepts--Marginal Frequencies |
Definition--Statistics and Probability Concepts--Marginal Frequencies
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.3 | Math Clip Art Collection: Statistics |
This collection aggregates all the math clip art around the topic of Statistics. There are a total of 55 images. | Data Analysis, Probability, Data Gathering and Counting | |
NC.M4.SP.1.3 | Math Clip Art--Statistics and Probability-- Inferences and Sample Size--9 |
Math Clip Art--Statistics and Probability-- Inferences and Sample Size--9
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics and Probability-- Inferences and Sample Size--10 |
Math Clip Art--Statistics and Probability-- Inferences and Sample Size--10
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics and Probability-- Inferences and Sample Size--11 |
Math Clip Art--Statistics and Probability-- Inferences and Sample Size--11
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics and Probability-- Inferences and Sample Size--12 |
Math Clip Art--Statistics and Probability-- Inferences and Sample Size--12
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--01 |
Math Clip Art--Statistics--Inferences and Sample Size--01
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--02 |
Math Clip Art--Statistics--Inferences and Sample Size--02
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--03 |
Math Clip Art--Statistics--Inferences and Sample Size--03
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--04 |
Math Clip Art--Statistics--Inferences and Sample Size--04
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--05 |
Math Clip Art--Statistics--Inferences and Sample Size--05
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--06 |
Math Clip Art--Statistics--Inferences and Sample Size--06
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--07 |
Math Clip Art--Statistics--Inferences and Sample Size--07
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.3 | Math Clip Art--Statistics--Inferences and Sample Size--08 |
Math Clip Art--Statistics--Inferences and Sample Size--08
This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts. |
Data Gathering | |
NC.M4.SP.1.2 | Math Definitions Collection: Statistics and Probability |
This collection aggregates all the definition image cards around the topic of Statistics and Probability terms and vocabulary. There are a total of 34 terms. | Data Analysis, Probability and Data Gathering | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Histogram |
Definition--Statistics and Probability Concepts--Histogram
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Independent Event |
Definition--Statistics and Probability Concepts--Independent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Mutually Exclusive Events |
Definition--Statistics and Probability Concepts--Mutually Exclusive Events
This is part of a collection of definitions on the topic of probability and statistics. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Permutation 2 |
Definition--Statistics and Probability Concepts--Permutation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Probability |
Definition--Statistics and Probability Concepts--Probability
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Sample Space |
Definition--Statistics and Probability Concepts--Sample Space
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Scatterplot |
Definition--Statistics and Probability Concepts--Scatterplot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot |
Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Combination 2 |
Definition--Statistics and Probability Concepts--Combination 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Conditional Probability |
Definition--Statistics and Probability Concepts--Conditional Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Correlation 1 |
Definition--Statistics and Probability Concepts--Correlation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Correlation 2 |
Definition--Statistics and Probability Concepts--Correlation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Dependent Event |
Definition--Statistics and Probability Concepts--Dependent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Statistic |
Definition--Statistics and Probability Concepts--Statistic
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Statistical Variability |
Definition--Statistics and Probability Concepts--Statistical Variability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Statistical Distribution |
Definition--Statistics and Probability Concepts--Statistical Distribution
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Random Sample |
Definition--Statistics and Probability Concepts--Random Sample
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Population |
Definition--Statistics and Probability Concepts--Population
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Probability Model |
Definition--Statistics and Probability Concepts--Probability Model
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Compound Events |
Definition--Statistics and Probability Concepts--Compound Events
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Causation |
Definition--Statistics and Probability Concepts--Causation
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Bivariate Data |
Definition--Statistics and Probability Concepts--Bivariate Data
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Probability Notation |
Definition--Statistics and Probability Concepts--Probability Notation
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Addition Rule of Probability |
Definition--Statistics and Probability Concepts--Addition Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Multiplication Rule of Probability |
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Permutation 1 |
Definition--Statistics and Probability Concepts--Permutation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Combination 1 |
Definition--Statistics and Probability Concepts--Combination 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Two-Way Frequency Table |
Definition--Statistics and Probability Concepts--Two-Way Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Correlation Coefficient |
Definition--Statistics and Probability Concepts--Correlation Coefficient
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Residuals |
Definition--Statistics and Probability Concepts--Residuals
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.SP.1.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.SP.1.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3: Pocket Aces |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3
In this tutorial, learn about the probability of drawing two aces consecutively from a deck of 52 cards. |
Probability | |
NC.M4.SP.1.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability | |
NC.M4.SP.1.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability and Combinatorics | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Relative Frequency Table |
Definition--Statistics and Probability Concepts--Relative Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Conditional Relative Frequency |
Definition--Statistics and Probability Concepts--Conditional Relative Frequency
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Joint Frequencies |
Definition--Statistics and Probability Concepts--Joint Frequencies
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1.2 | Definition--Statistics and Probability Concepts--Marginal Frequencies |
Definition--Statistics and Probability Concepts--Marginal Frequencies
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1.1 | Math Video Collection: Algebra Applications Video Series: Data Analysis |
This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Data Analysis. There are a total of 26 resources. | Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Applications: Data Analysis |
VIDEO: Algebra Applications: Data Analysis
In this episode of Algebra Applications, students explore the dramatic events of 2008 related to the mortgage crisis. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Applications: Data Analysis, 1 |
VIDEO: Algebra Applications: Data Analysis, Segment 1: Introduction
In this introductory segment students learn about the mortage crisis of 2008. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Applications: Data Analysis, 2 |
VIDEO: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?
The time value of money is at the basis of all loans. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Applications: Data Analysis, 3 |
VIDEO: Algebra Applications: Data Analysis, Segment 3: What Is a What is a Subprime Mortgage?
Having learned the general features of a mortgage, students learn the specifics of a subprime mortgage. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Applications: Data Analysis, 4 |
VIDEO: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage?
Another factor in the mortgage crisis was the use of adjustable rate mortgages. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Nspirations: Data Analysis and Probability |
VIDEO: Algebra Nspirations: Data Analysis and Probability
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 1 |
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 1
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 2 |
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 2
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 3 |
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 3
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | VIDEO: Algebra Nspirations: Data Analysis and Probability, 4 |
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 4
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Video Transcript: Algebra Applications: Data Analysis |
Video Transcript: Algebra Applications: Data Analysis
This is the transcript for the video of same title. |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Applications: Data Analysis, Segment 1: Introduction |
Video Transcript: Algebra Applications: Data Analysis, Segment 1: Introduction
This is the transcript for the video of same title. |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage? |
Video Transcript: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?
This is the transcript for the video of same title. Video contents: The time value of money is at the basis of all loans. |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Applications: Data Analysis, Segment 3: What is a Subprime Mortgage? |
Video Transcript: Algebra Applications: Data Analysis, Segment 3: What is a Subprime Mortgage?
This is the transcript for the video of same title. |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage? |
Video Transcript: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage?
This is the transcript for the video of same title. |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Nspirations: Data Analysis and Probability |
Video Transcript: Algebra Nspirations: Data Analysis and Probability
This is the transcript for the video of same title. Video contents: What are the two meanings of statistics? |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Nspirations: Data Analysis and Probability, 1 |
Video Transcript: Algebra Nspirations: Data Analysis and Probability, Part 1
This is the transcript for the video of same title. |
Data Analysis | |
NC.M4.SP.1.1 | Video Transcript: Algebra Nspirations: Data Analysis and Probability, 2 |
Video Transcript: Algebra Nspirations: Data Analysis and Probability, Part 2
This is the transcript for the video of same title. |
Data Analysis | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Applications: Data Analysis, 4 |
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage?
Another factor in the mortgage crisis was the use of adjustable rate mortgages. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Applications: Data Analysis, 3 |
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 3: What Is a What is a Subprime Mortgage?
Having learned the general features of a mortgage, students learn the specifics of a subprime mor |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Applications: Data Analysis, 2 |
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?
The time value of money is at the basis of all loans. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Applications: Data Analysis, 1 |
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 1: Introduction
In this introductory segment students learn about the mortage crisis of 2008. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Applications: Data Analysis |
Closed Captioned Video: Algebra Applications: Data Analysis
In this episode of Algebra Applications, students explore the dramatic events of 2008 related to the mortgage crisis. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 3 |
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3
In this Investigation we look at real-world data involving endangered wolf populations. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 1 |
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1
In this Investigation we explore uncertainty and randomness. |
Data Analysis and Data Gathering | |
NC.M4.SP.1.1 | Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability |
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability
What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? |
Data Analysis and Data Gathering | |
NC.M4.SP.1 | Math Definitions Collection: Statistics and Probability |
This collection aggregates all the definition image cards around the topic of Statistics and Probability terms and vocabulary. There are a total of 34 terms. | Data Analysis, Probability and Data Gathering | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Combination 2 |
Definition--Statistics and Probability Concepts--Combination 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Conditional Probability |
Definition--Statistics and Probability Concepts--Conditional Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Correlation 1 |
Definition--Statistics and Probability Concepts--Correlation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Correlation 2 |
Definition--Statistics and Probability Concepts--Correlation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Dependent Event |
Definition--Statistics and Probability Concepts--Dependent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Histogram |
Definition--Statistics and Probability Concepts--Histogram
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Independent Event |
Definition--Statistics and Probability Concepts--Independent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Mutually Exclusive Events |
Definition--Statistics and Probability Concepts--Mutually Exclusive Events
This is part of a collection of definitions on the topic of probability and statistics. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Permutation 2 |
Definition--Statistics and Probability Concepts--Permutation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Probability |
Definition--Statistics and Probability Concepts--Probability
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Sample Space |
Definition--Statistics and Probability Concepts--Sample Space
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Scatterplot |
Definition--Statistics and Probability Concepts--Scatterplot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot |
Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Relative Frequency Table |
Definition--Statistics and Probability Concepts--Relative Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Conditional Relative Frequency |
Definition--Statistics and Probability Concepts--Conditional Relative Frequency
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Joint Frequencies |
Definition--Statistics and Probability Concepts--Joint Frequencies
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Marginal Frequencies |
Definition--Statistics and Probability Concepts--Marginal Frequencies
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Statistic |
Definition--Statistics and Probability Concepts--Statistic
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Statistical Variability |
Definition--Statistics and Probability Concepts--Statistical Variability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Statistical Distribution |
Definition--Statistics and Probability Concepts--Statistical Distribution
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Random Sample |
Definition--Statistics and Probability Concepts--Random Sample
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Population |
Definition--Statistics and Probability Concepts--Population
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Probability Model |
Definition--Statistics and Probability Concepts--Probability Model
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Compound Events |
Definition--Statistics and Probability Concepts--Compound Events
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Causation |
Definition--Statistics and Probability Concepts--Causation
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Bivariate Data |
Definition--Statistics and Probability Concepts--Bivariate Data
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Probability Notation |
Definition--Statistics and Probability Concepts--Probability Notation
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Addition Rule of Probability |
Definition--Statistics and Probability Concepts--Addition Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Multiplication Rule of Probability |
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Permutation 1 |
Definition--Statistics and Probability Concepts--Permutation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Combination 1 |
Definition--Statistics and Probability Concepts--Combination 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Two-Way Frequency Table |
Definition--Statistics and Probability Concepts--Two-Way Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Correlation Coefficient |
Definition--Statistics and Probability Concepts--Correlation Coefficient
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.SP.1 | Definition--Statistics and Probability Concepts--Residuals |
Definition--Statistics and Probability Concepts--Residuals
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.SP.1 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.SP.1 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.SP.1 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3: Pocket Aces |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3
In this tutorial, learn about the probability of drawing two aces consecutively from a deck of 52 cards. |
Probability | |
NC.M4.SP.1 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability | |
NC.M4.SP.1 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability and Combinatorics | |
NC.M4.AF.5.2 | Math Definitions Collection: Statistics and Probability |
This collection aggregates all the definition image cards around the topic of Statistics and Probability terms and vocabulary. There are a total of 34 terms. | Data Analysis, Probability and Data Gathering | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Histogram |
Definition--Statistics and Probability Concepts--Histogram
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Independent Event |
Definition--Statistics and Probability Concepts--Independent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Mutually Exclusive Events |
Definition--Statistics and Probability Concepts--Mutually Exclusive Events
This is part of a collection of definitions on the topic of probability and statistics. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Permutation 2 |
Definition--Statistics and Probability Concepts--Permutation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Probability |
Definition--Statistics and Probability Concepts--Probability
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Sample Space |
Definition--Statistics and Probability Concepts--Sample Space
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Scatterplot |
Definition--Statistics and Probability Concepts--Scatterplot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot |
Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Combination 2 |
Definition--Statistics and Probability Concepts--Combination 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Conditional Probability |
Definition--Statistics and Probability Concepts--Conditional Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Correlation 1 |
Definition--Statistics and Probability Concepts--Correlation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Correlation 2 |
Definition--Statistics and Probability Concepts--Correlation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Dependent Event |
Definition--Statistics and Probability Concepts--Dependent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.AF.5.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.AF.5.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3: Pocket Aces |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3
In this tutorial, learn about the probability of drawing two aces consecutively from a deck of 52 cards. |
Probability | |
NC.M4.AF.5.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability | |
NC.M4.AF.5.2 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability and Combinatorics | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Relative Frequency Table |
Definition--Statistics and Probability Concepts--Relative Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Conditional Relative Frequency |
Definition--Statistics and Probability Concepts--Conditional Relative Frequency
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Joint Frequencies |
Definition--Statistics and Probability Concepts--Joint Frequencies
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Marginal Frequencies |
Definition--Statistics and Probability Concepts--Marginal Frequencies
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Statistic |
Definition--Statistics and Probability Concepts--Statistic
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Statistical Variability |
Definition--Statistics and Probability Concepts--Statistical Variability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Statistical Distribution |
Definition--Statistics and Probability Concepts--Statistical Distribution
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Random Sample |
Definition--Statistics and Probability Concepts--Random Sample
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Population |
Definition--Statistics and Probability Concepts--Population
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Probability Model |
Definition--Statistics and Probability Concepts--Probability Model
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Compound Events |
Definition--Statistics and Probability Concepts--Compound Events
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Causation |
Definition--Statistics and Probability Concepts--Causation
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Bivariate Data |
Definition--Statistics and Probability Concepts--Bivariate Data
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Probability Notation |
Definition--Statistics and Probability Concepts--Probability Notation
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Addition Rule of Probability |
Definition--Statistics and Probability Concepts--Addition Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Multiplication Rule of Probability |
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Permutation 1 |
Definition--Statistics and Probability Concepts--Permutation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Combination 1 |
Definition--Statistics and Probability Concepts--Combination 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Two-Way Frequency Table |
Definition--Statistics and Probability Concepts--Two-Way Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Correlation Coefficient |
Definition--Statistics and Probability Concepts--Correlation Coefficient
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5.2 | Definition--Statistics and Probability Concepts--Residuals |
Definition--Statistics and Probability Concepts--Residuals
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5.1 | Video Tutorial: Line of Best Fit |
Video Tutorial: Line of Best Fit
This video looks at the Line of Best Fit. A real-world data set is analyzed, from which a linear function in slope-intercept is derived. |
Slope-Intercept Form and Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 1 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 1
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 2 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 2
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 3 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 3
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 4 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 4
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 5 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 5
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 6 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 6
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 7 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 7
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 8 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 8
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 9 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 9
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 10 |
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 10
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Data Analysis | |
NC.M4.AF.5.1 | INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphing a Scatterplot |
In this Slide Show, learn how graph data in a scatterplot using the graph window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT. |
Graphs of Linear Functions, Slope-Intercept Form and Data Analysis | |
NC.M4.AF.5.1 | Quizlet Flash Cards: Measuring Temperature, Set 01 |
Description
In this interactive students are asked to measure temperature from a thermometer. Note: Audio is off by default. To change settings, press the Options button. |
Temperature | |
NC.M4.AF.5 | Math Definitions Collection: Statistics and Probability |
This collection aggregates all the definition image cards around the topic of Statistics and Probability terms and vocabulary. There are a total of 34 terms. | Data Analysis, Probability and Data Gathering | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Histogram |
Definition--Statistics and Probability Concepts--Histogram
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Independent Event |
Definition--Statistics and Probability Concepts--Independent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Mutually Exclusive Events |
Definition--Statistics and Probability Concepts--Mutually Exclusive Events
This is part of a collection of definitions on the topic of probability and statistics. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Permutation 2 |
Definition--Statistics and Probability Concepts--Permutation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Probability |
Definition--Statistics and Probability Concepts--Probability
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Sample Space |
Definition--Statistics and Probability Concepts--Sample Space
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Scatterplot |
Definition--Statistics and Probability Concepts--Scatterplot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot |
Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Combination 2 |
Definition--Statistics and Probability Concepts--Combination 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Conditional Probability |
Definition--Statistics and Probability Concepts--Conditional Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Correlation 1 |
Definition--Statistics and Probability Concepts--Correlation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Correlation 2 |
Definition--Statistics and Probability Concepts--Correlation 2
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Dependent Event |
Definition--Statistics and Probability Concepts--Dependent Event
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Relative Frequency Table |
Definition--Statistics and Probability Concepts--Relative Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Conditional Relative Frequency |
Definition--Statistics and Probability Concepts--Conditional Relative Frequency
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Joint Frequencies |
Definition--Statistics and Probability Concepts--Joint Frequencies
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Marginal Frequencies |
Definition--Statistics and Probability Concepts--Marginal Frequencies
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Statistic |
Definition--Statistics and Probability Concepts--Statistic
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Statistical Variability |
Definition--Statistics and Probability Concepts--Statistical Variability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Statistical Distribution |
Definition--Statistics and Probability Concepts--Statistical Distribution
This is part of a collection of definitions on the topic of probability and statistics. |
Data Gathering | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Random Sample |
Definition--Statistics and Probability Concepts--Random Sample
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Population |
Definition--Statistics and Probability Concepts--Population
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Gathering | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Probability Model |
Definition--Statistics and Probability Concepts--Probability Model
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Compound Events |
Definition--Statistics and Probability Concepts--Compound Events
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Probability | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Causation |
Definition--Statistics and Probability Concepts--Causation
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Bivariate Data |
Definition--Statistics and Probability Concepts--Bivariate Data
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Probability Notation |
Definition--Statistics and Probability Concepts--Probability Notation
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Addition Rule of Probability |
Definition--Statistics and Probability Concepts--Addition Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Multiplication Rule of Probability |
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Permutation 1 |
Definition--Statistics and Probability Concepts--Permutation 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Combination 1 |
Definition--Statistics and Probability Concepts--Combination 1
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Two-Way Frequency Table |
Definition--Statistics and Probability Concepts--Two-Way Frequency Table
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Correlation Coefficient |
Definition--Statistics and Probability Concepts--Correlation Coefficient
This is part of a collection of definitions on the topic of probability and statistics. |
Data Analysis | |
NC.M4.AF.5 | Definition--Statistics and Probability Concepts--Residuals |
Definition--Statistics and Probability Concepts--Residuals
This is part of a collection of definitions on the topic of probability and statistics. Each definition includes an example of the term. |
Data Analysis | |
NC.M4.AF.5 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.AF.5 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2 |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2
In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. |
Probability | |
NC.M4.AF.5 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3: Pocket Aces |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3
In this tutorial, learn about the probability of drawing two aces consecutively from a deck of 52 cards. |
Probability | |
NC.M4.AF.5 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 4
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability | |
NC.M4.AF.5 | Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker |
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5
In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. |
Probability and Combinatorics | |
NC.M4.AF.4.2 | Math Definitions Collection--Calculus Concepts |
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation. | Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Sum Rule |
Definition--Calculus Topics--Sum Rule
For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Tangent to a Curve |
Definition--Calculus Topics--Tangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Trapezoidal Rule |
Definition--Calculus Topics--Trapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Trig Identities |
Definition--Calculus Topics--Trig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Trigonometric Function |
Definition--Calculus Topics--Trigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Vector |
Definition--Calculus Topics--Vector
A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Velocity |
Definition--Calculus Topics--Velocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Vertical Asymptote |
Definition--Calculus Topics--Vertical Asymptote
A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Zeros of a Function |
Definition--Calculus Topics--Zeros of a Function
Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Absolute Maximum |
Definition--Calculus Topics--Absolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Absolute Minimum |
Definition--Calculus Topics--Absolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Absolute Value Function |
Definition--Calculus Topics--Absolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Acceleration |
Definition--Calculus Topics--Acceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Antiderivative |
Definition--Calculus Topics--Antiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Area Beneath a Curve |
Definition--Calculus Topics--Area Beneath a Curve
For a definite integral, it is the numerical result of the integration. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Asymptote |
Definition--Calculus Topics--Asymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Average Rates of Change |
Definition--Calculus Topics--Average Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Ceiling Function |
Definition--Calculus Topics--Ceiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Chain Rule |
Definition--Calculus Topics--Chain Rule
The process for finding the derivative of a composite function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Change of Variables |
Definition--Calculus Topics--Change of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Composite Function |
Definition--Calculus Topics--Composite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Concave Function |
Definition--Calculus Topics--Concave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Continuous Functions |
Definition--Calculus Topics--Continuous Functions
A function is continuous if it has no gaps along the domain of the function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Convex Function |
Definition--Calculus Topics--Convex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Definite Integral |
Definition--Calculus Topics--Definite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Delta x |
Definition--Calculus Topics--Delta x
The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Delta y |
Definition--Calculus Topics--Delta y
The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative |
Definition--Calculus Topics--Derivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Composite Function |
Definition--Calculus Topics--Derivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Linear Function |
Definition--Calculus Topics--Derivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Logarithmic Function |
Definition--Calculus Topics--Derivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of an Exponential Function |
Definition--Calculus Topics--Derivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Polynomial Function |
Definition--Calculus Topics--Derivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n - 1. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Quadratic Function |
Definition--Calculus Topics--Derivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Rational Function |
Definition--Calculus Topics--Derivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of a Trig Function |
Definition--Calculus Topics--Derivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Derivative of the Inverse of a Trig Function |
Definition--Calculus Topics--Derivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Differentiable Function |
Definition--Calculus Topics--Differentiable Function
A function is differentiable if a derivative can be found at each point in its domain. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Differential Equation |
Definition--Calculus Topics--Differential Equation
An equation that includes the derivative of a function f(x) and the variable x. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Differentiation |
Definition--Calculus Topics--Differentiation
The process of finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Discontinuous Function |
Definition--Calculus Topics--Discontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Discrete Function |
Definition--Calculus Topics--Discrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Displacement Function |
Definition--Calculus Topics--Displacement Function
A distance-vs.-time function used to find the distance an object has moved from a starting point. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--End Behavior |
Definition--Calculus Topics--End Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Even Function |
Definition--Calculus Topics--Even Function
A function whose graph is symmetric about the y-axis. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Explicit Function |
Definition--Calculus Topics--Explicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Extreme Value Theorem |
Definition--Calculus Topics--Extreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--First Derivative |
Definition--Calculus Topics--First Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Floor Function |
Definition--Calculus Topics--Floor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Fundamental Theorem of Calculus |
Definition--Calculus Topics--Fundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Hooke's Law |
Definition--Calculus Topics--Hooke's Law
A second-order differential equation that is used to model simple harmonic motion using a trigonometric function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Horizontal Asymptote |
Definition--Calculus Topics--Horizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Implicit Differentiation |
Definition--Calculus Topics--Implicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Implicit Function |
Definition--Calculus Topics--Implicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Indefinite Integral |
Definition--Calculus Topics--Indefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Inflection Point |
Definition--Calculus Topics--Inflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Instantaneous Rate of Change |
Definition--Calculus Topics--Instantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Integral |
Definition--Calculus Topics--Integral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Integral Symbol |
Definition--Calculus Topics--Integral Symbol
The mathematical symbol used to denote the process of integration. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Integrand |
Definition--Calculus Topics--Integrand
In the process of integration, it is the function that is being integrated. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Integration by Substitution |
Definition--Calculus Topics--Integration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Intermediate Value Theorem |
Definition--Calculus Topics--Intermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Inverse Function |
Definition--Calculus Topics--Inverse Function
For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--L'Hopital's Rule |
Definition--Calculus Topics--L'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital' |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Left-Hand Limit |
Definition--Calculus Topics--Left-Hand Limit
As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Limit |
Definition--Calculus Topics--Limit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Limits at Infinity |
Definition--Calculus Topics--Limits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Linear Approximation |
Definition--Calculus Topics--Linear Approximation
For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Local Maximum |
Definition--Calculus Topics--Local Maximum
When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Local Minimum |
Definition--Calculus Topics--Local Minimum
When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Matrix Representations of Vectors |
Definition--Calculus Topics--Matrix Representations of Vectors
A vector quantity can be represented by a matrix. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Mean Value Theorem |
Definition--Calculus Topics--Mean Value Theorem
For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Oblique Asymptote |
Definition--Calculus Topics--Oblique Asymptote
A slanted line that the graph of a function approaches but does not intersect. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Odd Function |
Definition--Calculus Topics--Odd Function
A function whose graph has point symmetry about the origin. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--One-Sided Limits |
Definition--Calculus Topics--One-Sided Limits
Restricting the limit of a function for values approaching the limiting value from one side. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Parametric Equations |
Definition--Calculus Topics--Parametric Equations
A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Piecewise Function |
Definition--Calculus Topics--Piecewise Function
A function made up of separate functions, each with its own interval. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Power Function |
Definition--Calculus Topics--Power Function
A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Power Rule |
Definition--Calculus Topics--Power Rule
The process of finding the derivative of a power function. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Quotient Rule |
Definition--Calculus Topics--Quotient Rule
The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Rational Function |
Definition--Calculus Topics--Rational Function
A function made up of the ratio of two functions f(x) and g(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Riemann Sum |
Definition--Calculus Topics--Riemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Right-Hand Limit |
Definition--Calculus Topics--Right-Hand Limit
As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Rolle's Theorem |
Definition--Calculus Topics--Rolle's Theorem
For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Second Derivative |
Definition--Calculus Topics--Second Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Separable Differential Equation |
Definition--Calculus Topics--Separable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Sigma Notation |
Definition--Calculus Topics--Sigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. |
Calculus Vocabulary | |
NC.M4.AF.4.2 | Definition--Calculus Topics--Step Function |
Definition--Calculus Topics--Step Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Math Definitions Collection--Calculus Concepts |
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation. | Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Absolute Maximum |
Definition--Calculus Topics--Absolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Absolute Minimum |
Definition--Calculus Topics--Absolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Absolute Value Function |
Definition--Calculus Topics--Absolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Acceleration |
Definition--Calculus Topics--Acceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Antiderivative |
Definition--Calculus Topics--Antiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Area Beneath a Curve |
Definition--Calculus Topics--Area Beneath a Curve
For a definite integral, it is the numerical result of the integration. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Asymptote |
Definition--Calculus Topics--Asymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Average Rates of Change |
Definition--Calculus Topics--Average Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Ceiling Function |
Definition--Calculus Topics--Ceiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Chain Rule |
Definition--Calculus Topics--Chain Rule
The process for finding the derivative of a composite function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Change of Variables |
Definition--Calculus Topics--Change of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Composite Function |
Definition--Calculus Topics--Composite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Concave Function |
Definition--Calculus Topics--Concave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Continuous Functions |
Definition--Calculus Topics--Continuous Functions
A function is continuous if it has no gaps along the domain of the function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Convex Function |
Definition--Calculus Topics--Convex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Definite Integral |
Definition--Calculus Topics--Definite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Delta x |
Definition--Calculus Topics--Delta x
The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Delta y |
Definition--Calculus Topics--Delta y
The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative |
Definition--Calculus Topics--Derivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Composite Function |
Definition--Calculus Topics--Derivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Linear Function |
Definition--Calculus Topics--Derivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Logarithmic Function |
Definition--Calculus Topics--Derivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of an Exponential Function |
Definition--Calculus Topics--Derivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Polynomial Function |
Definition--Calculus Topics--Derivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n - 1. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Quadratic Function |
Definition--Calculus Topics--Derivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Rational Function |
Definition--Calculus Topics--Derivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of a Trig Function |
Definition--Calculus Topics--Derivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Derivative of the Inverse of a Trig Function |
Definition--Calculus Topics--Derivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Differentiable Function |
Definition--Calculus Topics--Differentiable Function
A function is differentiable if a derivative can be found at each point in its domain. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Differential Equation |
Definition--Calculus Topics--Differential Equation
An equation that includes the derivative of a function f(x) and the variable x. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Differentiation |
Definition--Calculus Topics--Differentiation
The process of finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Discontinuous Function |
Definition--Calculus Topics--Discontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Discrete Function |
Definition--Calculus Topics--Discrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Displacement Function |
Definition--Calculus Topics--Displacement Function
A distance-vs.-time function used to find the distance an object has moved from a starting point. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--End Behavior |
Definition--Calculus Topics--End Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Even Function |
Definition--Calculus Topics--Even Function
A function whose graph is symmetric about the y-axis. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Explicit Function |
Definition--Calculus Topics--Explicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Extreme Value Theorem |
Definition--Calculus Topics--Extreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--First Derivative |
Definition--Calculus Topics--First Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Floor Function |
Definition--Calculus Topics--Floor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Fundamental Theorem of Calculus |
Definition--Calculus Topics--Fundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Hooke's Law |
Definition--Calculus Topics--Hooke's Law
A second-order differential equation that is used to model simple harmonic motion using a trigonometric function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Horizontal Asymptote |
Definition--Calculus Topics--Horizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Implicit Differentiation |
Definition--Calculus Topics--Implicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Implicit Function |
Definition--Calculus Topics--Implicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Indefinite Integral |
Definition--Calculus Topics--Indefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Inflection Point |
Definition--Calculus Topics--Inflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Instantaneous Rate of Change |
Definition--Calculus Topics--Instantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Integral |
Definition--Calculus Topics--Integral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Integral Symbol |
Definition--Calculus Topics--Integral Symbol
The mathematical symbol used to denote the process of integration. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Integrand |
Definition--Calculus Topics--Integrand
In the process of integration, it is the function that is being integrated. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Integration by Substitution |
Definition--Calculus Topics--Integration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Intermediate Value Theorem |
Definition--Calculus Topics--Intermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Inverse Function |
Definition--Calculus Topics--Inverse Function
For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--L'Hopital's Rule |
Definition--Calculus Topics--L'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital' |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Left-Hand Limit |
Definition--Calculus Topics--Left-Hand Limit
As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Limit |
Definition--Calculus Topics--Limit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Limits at Infinity |
Definition--Calculus Topics--Limits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Linear Approximation |
Definition--Calculus Topics--Linear Approximation
For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Local Maximum |
Definition--Calculus Topics--Local Maximum
When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Local Minimum |
Definition--Calculus Topics--Local Minimum
When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Matrix Representations of Vectors |
Definition--Calculus Topics--Matrix Representations of Vectors
A vector quantity can be represented by a matrix. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Mean Value Theorem |
Definition--Calculus Topics--Mean Value Theorem
For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Oblique Asymptote |
Definition--Calculus Topics--Oblique Asymptote
A slanted line that the graph of a function approaches but does not intersect. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Odd Function |
Definition--Calculus Topics--Odd Function
A function whose graph has point symmetry about the origin. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--One-Sided Limits |
Definition--Calculus Topics--One-Sided Limits
Restricting the limit of a function for values approaching the limiting value from one side. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Parametric Equations |
Definition--Calculus Topics--Parametric Equations
A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Piecewise Function |
Definition--Calculus Topics--Piecewise Function
A function made up of separate functions, each with its own interval. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Power Function |
Definition--Calculus Topics--Power Function
A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Power Rule |
Definition--Calculus Topics--Power Rule
The process of finding the derivative of a power function. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Quotient Rule |
Definition--Calculus Topics--Quotient Rule
The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Rational Function |
Definition--Calculus Topics--Rational Function
A function made up of the ratio of two functions f(x) and g(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Riemann Sum |
Definition--Calculus Topics--Riemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Right-Hand Limit |
Definition--Calculus Topics--Right-Hand Limit
As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Rolle's Theorem |
Definition--Calculus Topics--Rolle's Theorem
For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Second Derivative |
Definition--Calculus Topics--Second Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Separable Differential Equation |
Definition--Calculus Topics--Separable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Sigma Notation |
Definition--Calculus Topics--Sigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Step Function |
Definition--Calculus Topics--Step Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Sum Rule |
Definition--Calculus Topics--Sum Rule
For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x). |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Tangent to a Curve |
Definition--Calculus Topics--Tangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Trapezoidal Rule |
Definition--Calculus Topics--Trapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Trig Identities |
Definition--Calculus Topics--Trig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Trigonometric Function |
Definition--Calculus Topics--Trigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Vector |
Definition--Calculus Topics--Vector
A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Velocity |
Definition--Calculus Topics--Velocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Vertical Asymptote |
Definition--Calculus Topics--Vertical Asymptote
A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c. |
Calculus Vocabulary | |
NC.M4.AF.4.1 | Definition--Calculus Topics--Zeros of a Function |
Definition--Calculus Topics--Zeros of a Function
Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x). |
Calculus Vocabulary | |
NC.M4.AF.4 | Math Definitions Collection--Calculus Concepts |
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation. | Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Tangent to a Curve |
Definition--Calculus Topics--Tangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Trapezoidal Rule |
Definition--Calculus Topics--Trapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Trig Identities |
Definition--Calculus Topics--Trig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Trigonometric Function |
Definition--Calculus Topics--Trigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Vector |
Definition--Calculus Topics--Vector
A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Velocity |
Definition--Calculus Topics--Velocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Vertical Asymptote |
Definition--Calculus Topics--Vertical Asymptote
A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Zeros of a Function |
Definition--Calculus Topics--Zeros of a Function
Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x). |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Absolute Maximum |
Definition--Calculus Topics--Absolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Absolute Minimum |
Definition--Calculus Topics--Absolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Absolute Value Function |
Definition--Calculus Topics--Absolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Acceleration |
Definition--Calculus Topics--Acceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Antiderivative |
Definition--Calculus Topics--Antiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Area Beneath a Curve |
Definition--Calculus Topics--Area Beneath a Curve
For a definite integral, it is the numerical result of the integration. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Asymptote |
Definition--Calculus Topics--Asymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Average Rates of Change |
Definition--Calculus Topics--Average Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Ceiling Function |
Definition--Calculus Topics--Ceiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Chain Rule |
Definition--Calculus Topics--Chain Rule
The process for finding the derivative of a composite function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Change of Variables |
Definition--Calculus Topics--Change of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Composite Function |
Definition--Calculus Topics--Composite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Concave Function |
Definition--Calculus Topics--Concave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Continuous Functions |
Definition--Calculus Topics--Continuous Functions
A function is continuous if it has no gaps along the domain of the function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Convex Function |
Definition--Calculus Topics--Convex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Definite Integral |
Definition--Calculus Topics--Definite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Delta x |
Definition--Calculus Topics--Delta x
The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Delta y |
Definition--Calculus Topics--Delta y
The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative |
Definition--Calculus Topics--Derivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Composite Function |
Definition--Calculus Topics--Derivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Linear Function |
Definition--Calculus Topics--Derivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Logarithmic Function |
Definition--Calculus Topics--Derivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of an Exponential Function |
Definition--Calculus Topics--Derivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Polynomial Function |
Definition--Calculus Topics--Derivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n - 1. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Quadratic Function |
Definition--Calculus Topics--Derivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Rational Function |
Definition--Calculus Topics--Derivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of a Trig Function |
Definition--Calculus Topics--Derivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Derivative of the Inverse of a Trig Function |
Definition--Calculus Topics--Derivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Differentiable Function |
Definition--Calculus Topics--Differentiable Function
A function is differentiable if a derivative can be found at each point in its domain. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Differential Equation |
Definition--Calculus Topics--Differential Equation
An equation that includes the derivative of a function f(x) and the variable x. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Differentiation |
Definition--Calculus Topics--Differentiation
The process of finding the derivative of a function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Discontinuous Function |
Definition--Calculus Topics--Discontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Discrete Function |
Definition--Calculus Topics--Discrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Displacement Function |
Definition--Calculus Topics--Displacement Function
A distance-vs.-time function used to find the distance an object has moved from a starting point. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--End Behavior |
Definition--Calculus Topics--End Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Even Function |
Definition--Calculus Topics--Even Function
A function whose graph is symmetric about the y-axis. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Explicit Function |
Definition--Calculus Topics--Explicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Extreme Value Theorem |
Definition--Calculus Topics--Extreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--First Derivative |
Definition--Calculus Topics--First Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Floor Function |
Definition--Calculus Topics--Floor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Fundamental Theorem of Calculus |
Definition--Calculus Topics--Fundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Hooke's Law |
Definition--Calculus Topics--Hooke's Law
A second-order differential equation that is used to model simple harmonic motion using a trigonometric function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Horizontal Asymptote |
Definition--Calculus Topics--Horizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Implicit Differentiation |
Definition--Calculus Topics--Implicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Implicit Function |
Definition--Calculus Topics--Implicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Indefinite Integral |
Definition--Calculus Topics--Indefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Inflection Point |
Definition--Calculus Topics--Inflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Instantaneous Rate of Change |
Definition--Calculus Topics--Instantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Integral |
Definition--Calculus Topics--Integral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Integral Symbol |
Definition--Calculus Topics--Integral Symbol
The mathematical symbol used to denote the process of integration. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Integrand |
Definition--Calculus Topics--Integrand
In the process of integration, it is the function that is being integrated. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Integration by Substitution |
Definition--Calculus Topics--Integration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Intermediate Value Theorem |
Definition--Calculus Topics--Intermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Inverse Function |
Definition--Calculus Topics--Inverse Function
For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--L'Hopital's Rule |
Definition--Calculus Topics--L'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital' |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Left-Hand Limit |
Definition--Calculus Topics--Left-Hand Limit
As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Limit |
Definition--Calculus Topics--Limit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. |
Calculus Vocabulary | |
NC.M4.AF.4 | Definition--Calculus Topics--Limits at Infinity |
Definition--Calculus Topics--Limits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. |
Calculus Vocabulary |