Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 20: The Volume of a Sphere

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Standard Form INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Standard Form INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Standard Form

In this Slide Show, use the Desmos graphing calculator to explore linear equations in standard form. To see the complete collection of Desmos Resources click on this link.

Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Standard Form
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions

In this Slide Show, use the Desmos graphing calculator to explore absolute value functions. To see the complete collection of Desmos Resources click on this link.

Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Special Functions
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions

In this Slide Show, use the Desmos graphing calculator to explore linear functions. To see the complete collection of Desmos Resources click on this link.

Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions

In this Slide Show, learn about graphs of linear functions.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models

In this Slide Show, learn about linear function models.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples--Equations of Parallel and Perpendicular Lines INSTRUCTIONAL RESOURCE: Math Examples 12 INSTRUCTIONAL RESOURCE: Math Examples--Equations of Parallel and Perpendicular Lines

The complete set of 32 examples that make up this set of tutorials.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples--Graphing Linear Functions in Slope-Intercept Form INSTRUCTIONAL RESOURCE: Math Examples 19 INSTRUCTIONAL RESOURCE: Math Examples--Graphing Linear Functions in Slope-Intercept Form

The complete set of 13 examples that make up this set of tutorials.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples--Parallel and Perpendicular Lines INSTRUCTIONAL RESOURCE: Math Examples 35 INSTRUCTIONAL RESOURCE: Math Examples--Parallel and Perpendicular Lines

This set of tutorials provides 32examples that involve finding the equation of a line parallel or perpendicular to a given line and through a given point.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples--Surface Area INSTRUCTIONAL RESOURCE: Math Examples 55 INSTRUCTIONAL RESOURCE: Math Examples--Surface Area

This set of tutorials provides an overview of the 24 worked-out examples that show how to calculate the surface area of different three-dimensional figures.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Surface Area
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Absolute Value Functions INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Absolute Value Functions

In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Special Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions

In this Slide Show, linear functions are graphed. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Parallel and Perpendicular Lines INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Parallel and Perpendicular Lines

In this Slide Show, explore the properties of parallel and perpendicular lines. Use a slider to define the slope and then graph parallel and perpendicular lines linked to this slider.

Parallel Lines and Perpendicular Lines
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Perpendicular Bisectors of a Triangle INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Perpendicular Bisectors of a Triangle

In this Slide Show, we show how to construct the perpendicular bisectors of the three sides of a triangle to show they intersect at a single point. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Definition of a Triangle and Geometric Constructions with Triangles
TI Nspire Instructional Resource: TI-Nspire Activity: Exploring the Ratio of Circumference to Radius as a Linear Function

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

To see the complete collection of TI graphing calculator resources, click on this Link.
Applications of Linear Functions, Applications of Circles and Geometric Constructions with Circles
Interactive Crossword Puzzle--Linear Functions Interactive Crossword Puzzle--Linear Functions Interactive Crossword Puzzle--Linear Functions

This interactive crossword puzzle tests knowledge of key terms on the topic of linear functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Crossword Puzzle--Parallel and Perpendicular Lines Interactive Crossword Puzzle--Parallel and Perpendicular Lines Interactive Crossword Puzzle--Parallel and Perpendicular Lines

This interactive crossword puzzle tests knowledge of key terms on the topic of the graphs of Parallel and Perpendicular Lines.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Parallel Lines and Perpendicular Lines
Interactive Math Game--Algebra Jeopardy, Linear Functions Interactive Math Game--Algebra Jeopardy: Linear Functions Interactive Math Game--Algebra Jeopardy: Linear Functions

Use this Jeopardy-style math game to review linear functions. This Jeopardy game has a bank of hundreds of questions for thousands of unique game experiences. To see the complete set of Math Games and Puzzles, click on this link.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Graphs of Linear Functions and Slope-Intercept Form
Interactive Math Game--DragNDrop Math--Equation of a Line from Two Points Interactive Math Game--DragNDrop--Equation of a Line from Two Points Interactive Math Game--DragNDrop Math--Equation of a Line from Two Points

In this drag-and-drop game, match the coordinates with the equation of the line that crosses these points. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Point-Slope Form, Slope-Intercept Form and Standard Form
Interactive Math Game--DragNDrop Math--Equations of Parallel Lines Interactive Math Game--DragNDrop--Equations of Parallel Lines Interactive Math Game--DragNDrop Math--Equations of Parallel Lines

In this drag-and-drop game, match the linear equation with the equation of a parallel line through a given point. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Slope and Slope-Intercept Form
Interactive Math Game--DragNDrop Math--Equations of Perpendicular Lines Interactive Math Game--DragNDrop--Equations of Perpendicular Lines Interactive Math Game--DragNDrop Math--Equations of Perpendicular Lines

In this drag-and-drop game, match the linear equation with the equation of a perpendicular line through a given point. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Slope and Slope-Intercept Form
Interactive Math Game--DragNDrop Math--Evaluating Linear Functions Interactive Math Game--DragNDrop--Evaluating Linear Functions Interactive Math Game--DragNDrop Math--Evaluating Linear Functions

In this drag-and-drop game, match f(x) with f(a) for a given value of a. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Math Game--DragNDrop Math--Linear Functions Interactive Math Game--DragNDrop--Linear Functions Interactive Math Game--DragNDrop Math--Linear Functions

In this drag-and-drop game, match the linear function in slope-intercept form with its description. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Math Games Interactive Math Game--Equation Burst: Linear Functions Interactive Math Game--Equation Burst: Linear Functions

Use this math game to review linear functions in slope-intercept form.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Slope-Intercept Form
Interactive Math Game--Memory Game, 3D Figures Interactive Math Game--Memory Game: 3D Figures Interactive Math Game--Memory Game: 3D Figures

Use this math game to review 3D figures. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
3-Dimensional Figures
Interactive Math Game--Memory Game, Linear Functions Interactive Math Game--Memory Game: Linear Functions Interactive Math Game--Memory Game: Linear Functions

Use this math game to review Linear Functions. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Math Game--Treasure Math! Interactive Math Game--Treasure Math! Interactive Math Game--Treasure Math!

Use this math game to review graphs of linear functions in slope-intercept form. Students are shown a "treasure map" coordinate grid and several numbered "gems". Find the right combination of gems to identify the graph of the equation shown and score 50 points; otherwise, lose 20 points.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Slope-Intercept Form
Interactive Word Search Puzzle--Linear Functions, Puzzle 1 Interactive Word Search Puzzle--Linear Functions, Puzzle 1 Interactive Word Search Puzzle--Linear Functions, Puzzle 1

Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 2 Interactive Word Search Puzzle--Linear Functions, Puzzle 2 Interactive Word Search Puzzle--Linear Functions, Puzzle 2

Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 3 Interactive Word Search Puzzle--Linear Functions, Puzzle 3 Interactive Word Search Puzzle--Linear Functions, Puzzle 3

Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 4 Interactive Word Search Puzzle--Linear Functions, Puzzle 4 Interactive Word Search Puzzle--Linear Functions, Puzzle 4

Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 5 Interactive Word Search Puzzle--Linear Functions, Puzzle 5 Interactive Word Search Puzzle--Linear Functions, Puzzle 5

Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Applications of Linear Functions
Math Clip Art--Applications of Direct Variations--Circles 1 Math Clip Art--Applications of Direct Variations--Circles 1 Math Clip Art--Applications of Direct Variations--Circles 1

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 2 Math Clip Art--Applications of Direct Variations--Circles 2 Math Clip Art--Applications of Direct Variations--Circles 2

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 3 Math Clip Art--Applications of Direct Variations--Circles 3 Math Clip Art--Applications of Direct Variations--Circles 3

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 4 Math Clip Art--Applications of Direct Variations--Circles 4 Math Clip Art--Applications of Direct Variations--Circles 4

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 5 Math Clip Art--Applications of Direct Variations--Circles 5 Math Clip Art--Applications of Direct Variations--Circles 5

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 6 Math Clip Art--Applications of Direct Variations--Circles 6 Math Clip Art--Applications of Direct Variations--Circles 6

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 7 Math Clip Art--Applications of Direct Variations--Circles 7 Math Clip Art--Applications of Direct Variations--Circles 7

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 8 Math Clip Art--Applications of Direct Variations--Circles 8 Math Clip Art--Applications of Direct Variations--Circles 8

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 9 Math Clip Art--Applications of Direct Variations--Circles 9 Math Clip Art--Applications of Direct Variations--Circles 9

This is a collection of clip art images that show an application of direction variations in the context of circles.

Ratios and Rates and Proportions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image1 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 01 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 01

Topic

Quadratics

Description

This image features a vintage car in motion with a blurred background, emphasizing speed. It serves as an introduction to the series on speed and acceleration in linear and quadratic functions. The image visually represents the concept of speed through motion blur, making it relatable for students learning about linear functions. By using this image, teachers can engage students with real-world applications of mathematical concepts.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 2 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 02 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 02

Topic

Quadratics

Description

This image depicts a yellow car alongside a table that shows time in seconds and distance in feet, illustrating a constant speed of 88 ft/sec (60 mph). The table provides a clear example of how linear functions can represent constant speeds. Teachers can use this image to demonstrate the relationship between time, distance, and speed, reinforcing the concept of constant rates within linear functions.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 3 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 03 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 03

Topic

Quadratics

Description

This image is a variation of the previous image that highlights the common difference as the rate of speed. It builds on the previous example by emphasizing how the common difference (88 ft/sec) serves as the rate in linear equations. This visual representation helps students grasp how mathematical differences translate into real-world speeds.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 4 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 04 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 04

Topic

Quadratics

Description

This image presents a table with time in seconds and distance in feet, accompanied by a graph illustrating a linear relationship between time and distance. The constant increase of 88 feet per second is depicted as the slope of the Distance-vs-Time linear function graph. This visual aids students in understanding how linear functions can model real-world speed scenarios.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 5 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 05 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 05

Topic

Quadratics

Description

This image is a variation showing time and distance data with a graph that includes a dotted line labeled "Slower speed." The graph illustrates how different speeds affect the steepness of linear function graphs. This visual comparison helps students see how speed variations are represented mathematically.

Using math clip art allows students to visualize differences in speed through graphical representations, aiding comprehension of linear functions' applications.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 6 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 06 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 06

Topic

Quadratics

Description

This image shows a graph similar to the previous one but with a steeper dotted line labeled "Faster speed." It visually demonstrates how increased speed results in a steeper slope on a linear function graph. This helps students understand the relationship between speed changes and their graphical representations.

The use of math clip art facilitates learning by providing clear visual examples that connect mathematical concepts to real-world scenarios.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 7 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 07 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 07

Topic

Quadratics

Description

This image displays a table with time and distance data for two functions, f(x) representing constant speed, and g(x) representing changing speed. Two car icons illustrate these concepts visually. This comparison allows students to explore how different types of motion are modeled mathematically.

The use of math clip art aids in understanding complex concepts by providing relatable visual examples that highlight differences in mathematical functions.

Graphs of Linear Functions and Graphs of Quadratic Functions
Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration, Image 8 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 08 Math Clip Art--Applications of Linear and Quadratic Functions: Speed and Acceleration 08

Topic

Quadratics

Description

This image presents time-distance data for functions f(x) with constant increments, showing constant speed, while g(x) shows changing speed with a common ratio. The visual representation helps students understand different mathematical relationships through real-world examples.

The use of math clip art enhances comprehension by clearly illustrating abstract concepts like common differences versus common ratios in mathematical functions.

Graphs of Linear Functions and Graphs of Quadratic Functions