NYS

These are the resources that support this NYS Standard.

NY-AI-F.IF.7

There are 625 resources.
Title Description Thumbnail Image Curriculum Topics

Accident Investigation

When a driver slams the brakes on a car, skid marks are created on the road. Accident investigators can measure the length of the skid marks to estimate the speed of the car. This involves using a quadratic function.

In this module, students use a quadratic model to predict the length of skid marks for various car speeds. The derivation of the quadratic model is shown algebraically and graphically. Students then use the model to solve a quadratic equation, given the total stopping distance.

This module assumes that students are familiar with quadratic functions. Students will get a real understanding for how quadratic functions are used in the real world.

SAT Math Prep--Linear Equations and Functions

Description

Media4Math Classroom is developing a series of instructional modules for reviewing SAT math topics in detail. These modules review the key skills that are tested on the SAT with a two-pronged approach:

  1. Review the basics of the math skills required.
  2. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.

In this module there is a thorough review of the topic of linear equations. This module covers four key areas:

  1. Slope-intercept form
  2. Point-slope form
  3. Equations for parallel and perpendicular lines
  4. Equations in standard form

Students are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the test.

Make sure your students are familiar with these four topics. While there is plenty of opportunity for concept review, the key to succeeding on the SAT math section is to recognize that questions require a good grasp of the concepts.

 

SAT Math Prep—Quadratic Functions and Equations

Media4Math Classroom's SAT Math Prep series provide a thorough review of key math topics covered on the SAT. These modules review the key skills that are tested on the SAT with a two-pronged approach:

  1. Review the basics of the math skills required.
  2. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.

In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas:

  1. Definition of a quadratic function
  2. Definition of a quadratic equation
  3. Solving quadratic equations algebraically
  4. Solving quadratic functions graphically

Students are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the SAT.

Make sure your students are familiar with these four topics. While there is plenty of opportunity for concept review, the key to succeeding on the SAT math section is to recognize that questions require a good grasp of the concepts.

Algebra Application: Creating an Exercise Chart

In this Algebra Application, students develop a linear mathematical model based on the maximum heart rate during exercise based on age. Using this model, students investigate heart rate for moderate and vigorous workouts. The math topics covered include:

  • Mathematical modeling
  • Linear functions
  • Families of functions
  • Computational thinking

The culminating activity is for students to create a simple program (using either a spreadsheet or a programming language like Python) to develop an exercise chart.

This is a great back-to-school activity for middle school or high school students. A relevant real-world application allows them to review math concepts.

Note: The download is a PDF file that includes the link to the GoogleDoc version.

 Applications of Linear Functions, Slope-Intercept Form

Algebra Application: Linear Functions: Circumference vs. Diameter

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include:

  • Mathematical modeling
  • Linear functions
  • Data gathering and analysis
  • Ratios
  • Direct variation

This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry.

Note: The download is a PDF file that includes the link to the GoogleDoc version.

 Applications of Linear Functions, Applications of Ratios, Proportions, and Percents, Applications of Circles

VIDEO: Algebra Nspirations: Quadratic Functions

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically.

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-quadratic-functions

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-quadratic-functions

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-quadratic-functions

 Applications of Quadratic Functions, Graphs of Quadratic Functions

Closed Captioned Video: Algebra Nspirations: Quadratic Functions

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

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 AlgNsp--QuadraticFunctions00.jpg Applications of Quadratic Functions, Graphs of Quadratic Functions

Definition--Functions and Relations Concepts--Absolute Value Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--AbsoluteValueFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Composite Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--CompositeFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Conic Sections

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--ConicSections.png Relations and Functions

Definition--Functions and Relations Concepts--Constant Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--ConstantFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Continuous Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--ContinuousFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Decreasing Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DecreasingFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Dependent Variable

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DependentVariable.png Relations and Functions

Definition--Functions and Relations Concepts--Discontinuous Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DiscontinuousFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Discrete Functions

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--Discrete-Function.png Relations and Functions

Definition--Functions and Relations Concepts--Distorting a Function Horizontally

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DistoringAFunctionHorizontally.png Relations and Functions

Definition--Functions and Relations Concepts--Distorting a Function Vertically

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DistoringAFunctionVertically.png Relations and Functions

Definition--Functions and Relations Concepts--Domain of a Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DomainOfFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Even Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--EvenFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--Function.png Relations and Functions

Definition--Functions and Relations Concepts--Function Machine

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--FunctionMachine.png Relations and Functions

Definition--Functions and Relations Concepts--Function Notation

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 Defintion--FunctionsAndRelations--FunctionNotation.png Relations and Functions

Definition--Functions and Relations Concepts--Function Table

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--FunctionTable.png Relations and Functions

Definition--Functions and Relations Concepts--Graphs of Functions

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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To see the complete collection of Math Definitions on this topic, click on this Link.

 Defintion--FunctionsAndRelations--GraphsOfFunctions.png Relations and Functions