Use the following Media4Math resources with this Illustrative Math lesson.
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Quadratics Collection: Texas Instruments Graphing Calculator Resources |
A set of resources for the TI-Nspire, TI-Nspire CX, and the Nspire App.
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Applications of Quadratic Functions, Graphs of Quadratic Functions, Quadratic Formula, Data Analysis, Quadratic Equations and Functions, Inequalities and Composite Functions | |
Quadratics Collection: Instructional Resources |
Here is a collection of PowerPoint presentations on selected topics in Quadratics.
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Quadratic Equations and Functions, Applications of Quadratic Functions, Graphs of Quadratic Functions, Numerical and Algebraic Expressions and Quadratic Formula | |
Math Examples Collection: Graphical Solutions to Rational Equations | OverviewThis collection aggregates a set of math examples on the topic of Graphical Solutions to Rational Equations. There are 10 examples.
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Rational Functions and Equations | |
Math Definitions Collection: Functions and Relations | OverviewThe "Functions and Relations" collection from Media4Math provides a comprehensive set of definitions essential for understanding key mathematical concepts. This collection includes terms such as domain, range, function, relation, inverse function, and composite function. These definitions are crucial for students as they form the foundation for more advanced topics in mathematics, such as calculus and algebra. |
Special Functions, Composite Functions, Conic Sections, Relations and Functions and Functions and Their Inverses | |
Math Clip Art Collection: Graphs of Linear Functions |
OverviewThis collection aggregates all the math clip art around the topic of Graphs of Linear Functions. There are a total of 10 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.To download the full set of these resources, click on this link.
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Graphs of Linear Functions and Slope-Intercept Form | |
Math Quiz Collection: Graphs of Linear Functions |
OverviewThis collection aggregates all the math quizzes on this topic: Graphs of Linear Functions. There are a total of 60 resources. This collection of quizzes is made up of downloadable PDFs. To download the full set of these resources, click on this link.
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Graphs of Linear Functions and Slope-Intercept Form | |
Math Video Collection: Video Tutorials Series: Linear Functions |
OverviewThis collection aggregates all the math videos and resources in this series: Video Tutorials Series: Linear Functions. There are a total of 18 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.
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Graphs of Linear Functions | |
Math Video Collection: Algebra Applications Video Series: Linear Functions | OverviewThis collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Linear Functions. There are a total of 26 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.
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Special Functions, Applications of Linear Functions and Graphs of Linear Functions | |
Math Video Collection: Algebra Applications Video Series: Functions and Relations |
OverviewThis collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Functions and Relations. There are a total of 26 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.
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Applications of Functions and Relations, Conic Sections, Relations and Functions, Quadratic Equations and Functions and Geometric Constructions with Circles | |
Math Worksheet Collection: Linear Functions in Tabular and Graph Form |
OverviewThis collection aggregates all the math worksheets around the topic of Linear Functions in Tabular and Graph Form. There are a total of 101 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.
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Graphs of Linear Functions and Applications of Linear Functions | |
Math Examples Collection: Graphs of Rational Functions | OverviewThis collection of 28 math examples focuses on the topic of Graphs of Rational Functions, offering a comprehensive resource for students and educators alike. The examples cover a wide range of skills and concepts related to rational functions, progressively increasing in complexity to challenge learners at various levels of understanding. |
Rational Functions and Equations | |
Measures of Central Tendency: Basic Terms and Definitions | Here we gather key terms, definitions, and formulas around Measures of Central Tendency.
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Data Analysis and Relations and Functions | |
Linear Functions and Equations Collection: Promethean Flipcharts | This is a collection of Promethean Flipcharts that focus on Linear Functions and Equations. | Applications of Linear Functions | |
Linear Functions and Equations Collection: Texas Instruments Graphing Calculator Resources | This is a collection of TI resources on the topic of Linear Functions and Equations. | Graphs of Linear Functions, Slope-Intercept Form and Slope | |
Functions and Relations Collection: Basic Definitions | Here are key terms in the topic of Functions and Relations. | Relations and Functions and Conic Sections | |
Linear Functions and Equations Collection: Video Tutorials | OverviewThis collection of videos analyzes linear functions in slope-intercept form. There are a total of 18 videos.
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Graphs of Linear Functions, Standard Form, Point-Slope Form, Slope, Special Functions and Applications of Linear Functions | |
Linear Functions and Equations Collection: Algebra Applications Videos | Real-world applications of linear functions and equations through this video series. | Special Functions and Applications of Linear Functions | |
Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: Cycling | Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: CyclingTopicLinear Functions DescriptionApplies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing. This video explores the mathematics behind Linear Functions, providing clear examples and engaging visuals to enhance understanding. It is an excellent resource for both introduction and reinforcement of key concepts. |
Special Functions and Applications of Linear Functions | |
Closed Captioned Video: Linear Function | Closed Captioned Video: Linear Function
In this TI Nspire tutorial, the Graph window is used to graph a linear function. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Video TranscriptsThis video has a transcript available. To see the complete collection of video transcripts, click on this link. |
Graphs of Linear Functions | |
Closed Captioned Video: Linear Inequality Using Sliders | Closed Captioned Video: Linear Inequality Using Sliders
In this TI Nspire tutorial, the Graph window is used to graph a linear inequality in slope-intercept form using sliders. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. |
Inequalities | |
Closed Captioned Video: Algebra Applications: Linear Functions | Closed Captioned Video: Algebra Applications: Linear FunctionsTopicLinear Functions |
Special Functions and Applications of Linear Functions | |
Closed Captioned Video: Algebra Applications: Linear Functions, 3 | Closed Captioned Video: Algebra Applications: Linear Functions, 3TopicLinear Functions DescriptionUses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production. This video explores the mathematics behind Linear Functions, providing clear examples and engaging visuals to enhance understanding. It is an excellent resource for both introduction and reinforcement of key concepts. |
Special Functions and Applications of Linear Functions | |
Closed Captioned Video: Algebra Applications: Linear Functions, 4 | Closed Captioned Video: Algebra Applications: Linear Functions, 4TopicLinear Functions DescriptionModels maximum heart rate during aerobic exercise with linear equations, creating exercise charts for various age groups. This video explores the mathematics behind Linear Functions, providing clear examples and engaging visuals to enhance understanding. It is an excellent resource for both introduction and reinforcement of key concepts. |
Special Functions and Applications of Linear Functions | |
Closed Captioned Video: Exp the Slope-Intercept form | Closed Captioned Video: Exp the Slope-Intercept form
In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a linear function in slope-intercept form. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. . |
Slope-Intercept Form | |
Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept | Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept
Video Tutorial: Linear Functions: Negative Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a negative y-intercept. |
Graphs of Linear Functions | |
Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept | Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept
Video Tutorial: Linear Functions: Negative Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a positive y-intercept. |
Graphs of Linear Functions | |
Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept | Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept
Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a zero y-intercept. |
Graphs of Linear Functions | |
Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept | Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept
Video Tutorial: Linear Functions: Positive Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a negative y-intercept. |
Graphs of Linear Functions | |
Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept | Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept
Video Tutorial: Linear Functions: Positive Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a positive y-intercept. |
Graphs of Linear Functions | |
Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept | Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept
Video Tutorial: Linear Functions: Positive Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a zero y-intercept. |
Graphs of Linear Functions | |
Definition--Functions and Relations Concepts--Absolute Value Function | Absolute Value Function
TopicFunctions and Relations DefinitionAn absolute value function is a function that contains an algebraic expression within absolute value symbols. It is defined as $$ f(x) = |x| $$ where |x| denotes the absolute value ofx. DescriptionThe absolute value function is significant in mathematics because it measures the distance of a number from zero on the number line, regardless of direction. This function is linear in nature, as it can be broken into two linear pieces: one for $$ x \geq 0 $$ and one for $$ x < 0 $$ |
Special Functions | |
Definition--Functions and Relations Concepts--Composite Function | Composite FunctionTopicFunctions and Relations DefinitionA composite function is a function that is formed when one function is applied to the result of another function. DescriptionComposite functions are significant in mathematics because they allow the combination of two functions to form a new function. This is denoted as (fâg)(x) = f(g(x)). Composite functions are widely used in various fields, including computer science for function composition in programming and in calculus for chain rule applications. For example, if f(x) = 2x and g(x) = x + 3, then the composite function (fâg)(x) = f(g(x)) = 2(x + 3) = 2x+6 |
Composite Functions | |
Definition--Functions and Relations Concepts--Conic Sections | Conic SectionsTopicFunctions and Relations DefinitionConic sections are the curves obtained by intersecting a plane with a double-napped cone. DescriptionConic sections include circles, ellipses, parabolas, and hyperbolas, which are fundamental in the study of geometry and algebra. These shapes are described by quadratic equations and have numerous applications in physics, engineering, and astronomy. For example, the orbits of planets are ellipses, and parabolic mirrors are used in telescopes and satellite dishes. The general quadratic equation for conic sections is Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 |
Conic Sections | |
Definition--Functions and Relations Concepts--Constant Function | Constant FunctionTopicFunctions and Relations DefinitionA constant function is a function that always returns the same value, no matter the input. DescriptionThe constant function is one of the simplest types of functions in mathematics, expressed as f(x) = c |
Relations and Functions | |
Definition--Functions and Relations Concepts--Continuous Function | Continuous FunctionTopicFunctions and Relations DefinitionA continuous function is a function that does not have any breaks, holes, or gaps in its domain. DescriptionContinuous functions are fundamental in calculus and mathematical analysis because they allow for the application of limits, derivatives, and integrals. A function f(x) is continuous if, for every point đ c in its domain, lim xâc â f(x) = f(c) |
Relations and Functions | |
Definition--Functions and Relations Concepts--Decreasing Function | Decreasing FunctionTopicFunctions and Relations DefinitionA decreasing function is a function where the value of the function decreases as the input increases. DescriptionDecreasing functions are important in mathematics because they describe scenarios where an increase in one variable leads to a decrease in another. This is mathematically represented as f(x1) > f(x2) for any đ„1 < đ„2 â |
Relations and Functions | |
Definition--Functions and Relations Concepts--Dependent Variable | Dependent VariableTopicFunctions and Relations DefinitionA dependent variable is a variable whose value depends on one or more other variables. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Discontinuous Function | Discontinuous FunctionTopicFunctions and Relations DefinitionA discontinuous function is a function that has one or more points where it is not continuous. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Discrete Functions | Discrete FunctionsTopicFunctions and Relations DefinitionDiscrete functions are functions that are defined only for a set of discrete points. |
Special Functions | |
Definition--Functions and Relations Concepts--Distorting a Function Horizontally | Distorting a Function HorizontallyTopicFunctions and Relations DefinitionDistorting a function horizontally involves stretching or compressing the graph of the function along the x-axis. DescriptionHorizontal distortions of functions are significant because they alter the input values while maintaining the overall shape of the graph. This is mathematically represented as f(kx) where k is a constant. If k > 1, the function compresses horizontally, and if 0 < đ < 1, it stretches. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Distorting a Function Vertically | Distorting a Function VerticallyTopicFunctions and Relations DefinitionDistorting a function vertically involves stretching or compressing the graph of the function along the y-axis. DescriptionVertical distortions of functions are significant because they alter the output values while maintaining the overall shape of the graph. This is mathematically represented as kf(x) |
Relations and Functions | |
Definition--Functions and Relations Concepts--Domain of a Function | Domain of a FunctionTopicFunctions and Relations DefinitionThe domain of a function is the set of all possible input values (x-values) for which the function is defined. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Even Function | Even FunctionTopicFunctions and Relations DefinitionAn even function is a function that satisfies the condition f(x) = f(âx) for all x in its domain. DescriptionEven functions are important in mathematics because they exhibit symmetry about the y-axis. This property is useful in various fields, including physics and engineering, where symmetry simplifies analysis and problem-solving. For example, the function f(x)=x2 |
Relations and Functions | |
Definition--Functions and Relations Concepts--Function | FunctionTopicFunctions and Relations DefinitionA function is a relation that uniquely associates each element of a set with exactly one element of another set. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Function Machine | Function MachineTopicFunctions and Relations DefinitionA function machine is a conceptual tool used to understand how functions work by visualizing inputs and outputs. DescriptionThe function machine is a useful educational tool that helps students grasp the concept of functions by visualizing the process of converting inputs into outputs. It emphasizes the idea that a function takes an input, processes it according to a specific rule, and produces an output. For example, if the function is f(x) = x + 2 |
Relations and Functions | |
Definition--Functions and Relations Concepts--Function Notation | Function NotationTopicFunctions and Relations DefinitionFunction notation is a way to represent functions in the form f(x), where f denotes the function and x denotes the input variable. DescriptionFunction notation is a standardized way to write functions, making it easier to understand and communicate mathematical relationships. It is widely used in algebra, calculus, and other branches of mathematics. For example, the notation f(x) = x2 |
Relations and Functions | |
Definition--Functions and Relations Concepts--Function Table | Function TableTopicFunctions and Relations DefinitionA function table is a table that lists input values and their corresponding output values for a given function. DescriptionFunction tables are useful tools in mathematics for organizing and analyzing the relationship between inputs and outputs of a function. They help in visualizing how a function behaves and in identifying patterns. For example, a function table for f(x) = 2x + 1 |
Relations and Functions | |
Definition--Functions and Relations Concepts--Graphs of Functions | Graphs of FunctionsTopicFunctions and Relations DefinitionGraphs of functions are visual representations of the relationship between input values and output values of a function. DescriptionGraphs of functions are essential tools in mathematics for visualizing how a function behaves. They provide a clear picture of the relationship between the input and output values, making it easier to analyze and interpret the function. For example, the graph of f(x) = x2 |
Relations and Functions | |
Definition--Functions and Relations Concepts--Graphs of Relations | Graphs of RelationsTopicFunctions and Relations DefinitionGraphs of relations are visual representations of the relationship between two sets of values, not necessarily functions. |
Relations and Functions | |
Definition--Functions and Relations Concepts--Increasing Function | Increasing FunctionTopicFunctions and Relations DefinitionAn increasing function is a function where the value of the function increases as the input increases. |
Relations and Functions |