IXL Ad

Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 7: Connecting Representations of Functions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = 5x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, 5), (2, 10), (3, 15), and (4, 20), illustrating how the y-value increases by 5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4

Topic

Linear Functions

Description

This example showcases the process of creating a table of x-y coordinates and graphing the linear function y = -2x + 5. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 5), (1, 3), (2, 1), (3, -1), and (4, -3), demonstrating how the y-value decreases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5

Topic

Linear Functions

Description

This example illustrates the creation of a table of x-y coordinates and the graphing of the linear function y = -3x - 4. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -4), (1, -7), (2, -10), (3, -13), and (4, -16), showing how the y-value decreases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -6), (2, -12), (3, -18), and (4, -24), illustrating how the y-value decreases by 6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x + 7. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 7), (1, 8), (2, 9), (3, 10), and (4, 11), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = x - 8. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -8), (1, -7), (2, -6), (3, -5), and (4, -4), illustrating how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 1), (2, 2), (3, 3), and (4, 4), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math in the News: Issue 76--Back to the Moon! Math in the News: Issue 76--Back to the Moon! Math in the News: Issue 76--Back to the Moon!

September 2013. In this issue we look at NASA's newest Moon mission, the LADEE robotic probe. It becomes an opportunity to explore linear and logarithmic equations used in rocketry.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Applications of Exponential and Logarithmic Functions and Applications of Linear Functions
Promethean Flipchart: Algebra Nspirations: Exponential Functions

Almost everyone has an intuitive understanding that exponential growth means rapid growth. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students’ intuitive notions, explores exponential notation, and analyzes properties of exponential function graphs, with the help of TI-Nspire features such as sliders and graph transformations. Using exponential functions to model finance applications and a Newton’s law of cooling problem further help students build a solid foundation for these fundamental algebraic concepts. Concepts explored: functions, exponents, exponential functions Note: The download for this resources is the Promethean Flipchart.

Applications of Exponential and Logarithmic Functions
Promethean Flipchart: Algebra Nspirations: Functions and Relations

Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations Note: The download for this resources is the Promethean Flipchart.

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

Applications of Functions and Relations
Promethean Flipchart: Algebra Nspirations: Linear Functions

In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations Note: The download for this resources is the Promethean Flipchart.

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

Applications of Linear Functions
Promethean Flipchart: Algebra Nspirations: Logarithmic Functions

This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Nspirations: Logarithms and Logarithmic Functions]: https://www.media4math.com/library/algebra-nspirations-logarithms-and-logarithmic-functions

Applications of Exponential and Logarithmic Functions
Promethean Flipchart: 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 Note: The download for this resource is the Promethean Flipchart.

Applications of Quadratic Functions
Promethean Flipchart: Algebra Nspirations: Rational Functions

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Rational Functions and Expressions]: https://media4math.com/library/algebra-nspirations-rational-functions-and-expressions

Rational Functions and Equations
Quizlet Flash Cards: Composite Functions Quizlet Flash Cards: Composite Functions Quizlet Flash Cards: Composite Functions

What Are Composite Functions?

Modeling Functions

Composite Functions
Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions

This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

To see the complete of these quizzes, 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.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Graphs of Linear Functions, Slope and Slope-Intercept Form
Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Tutorial: Cricket Chirps Video Tutorial: Cricket Chirps Video Tutorial: Cricket Chirps

This YouTube video describes the relationship between the number of cricket chirps and outside temperature. This is an application of linear functions of the form y = mx + b.

Applications of Linear Functions
Video Tutorial: Hooke's Law Video Tutorial: Hooke's Law Video Tutorial: Hooke's Law

This YouTube video describes Hooke's Law, which is an application of linear functions of the form y = kx.

Slope-Intercept Form and Proportions
Video Tutorial: Identity Function Video Tutorial: Identity Function Video Tutorial: Identity Function

This video looks at the identity function. Students review the identity properties of addition and multiplication as a means of better understanding the identity function.

Relations and Functions and Slope-Intercept Form
VideoTutorial--LinearFunctions1.jpg Video Tutorial: Linear Functions, Video 1 Video Tutorial: Linear Functions: Positive Slope, Positive y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions2.jpg Video Tutorial: Linear Functions, Video 2 Video Tutorial: Linear Functions: Positive Slope, Negative y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions3.jpg Video Tutorial: Linear Functions, Video 3 Video Tutorial: Linear Functions: Positive Slope, Zero y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions4.jpg Video Tutorial: Linear Functions, Video 4 Video Tutorial: Linear Functions: Negative Slope, Positive y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions5.jpg Video Tutorial: Linear Functions, Video 5 Video Tutorial: Linear Functions: Negative Slope, Negative y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions6.jpg Video Tutorial: Linear Functions, Video 6 Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
Video Tutorial: Multiple Representations of Functions Video Tutorial: Multiple Representations of Functions Video Tutorial: Multiple Representations of Functions

This video looks at multiple representations of functions, including symbolic, tabular, and graphic. Examples of linear, quadratic, polynomial, and exponential functions are shown.

Relations and Functions
VIDEO:  Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction.

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration.

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise. VIDEO: Algebra Applications: Linear Functions, 4 VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise.

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Nspirations: Functions and Relations, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, Segment 3

In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations.

Applications of Functions and Relations, Relations and Functions and Geometric Constructions with Circles
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Absolute Value Functions VIDEO: Ti-Nspire Mini-Tutorial, Video 7 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Absolute Value Functions

In this Nspire CX tutorial absolute functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. Note: This video does not include audio.

Special Functions
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders VIDEO: Ti-Nspire Mini-Tutorial, Video 10 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders

In this TI-Nspire CX tutorial learn how to graph quadratic functions in standard form using sliders for the values of a, b, and c.

Graphs of Quadratic Functions
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Vertext Form with Sliders VIDEO: Ti-Nspire Mini-Tutorial, Video 11 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Quadratic Functions in Vertext Form with Sliders

In this TI-Nspire CX tutorial learn how to graph quadratic functions in vertex form using sliders for the values of h and k.

Graphs of Quadratic Functions
VIDEO: TI-Nspire CX Mini-Tutorial: Linear Functions and Their Inverses VIDEO: Ti-Nspire Mini-Tutorial, Video 12 VIDEO: TI-Nspire CX Mini-Tutorial: Linear Functions and Their Inverses

In this Nspire CX tutorial linear functions in slope-intercept form are graphed using sliders. Then the inverse functions are graphed. Their symmetry about the graph of y = x is explored.

Functions and Their Inverses
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions VIDEO: Ti-Nspire Mini-Tutorial, Video 9 VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions

In this Nspire CX tutorial linear functions are graphed.

Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 01 Worksheet: Multiple Representations of Linear Functions: Example 01

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 02 Worksheet: Multiple Representations of Linear Functions: Example 02

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 03 Worksheet: Multiple Representations of Linear Functions: Example 03

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 04 Worksheet: Multiple Representations of Linear Functions: Example 04

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 05 Worksheet: Multiple Representations of Linear Functions: Example 05

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 06 Worksheet: Multiple Representations of Linear Functions: Example 06

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions
WorksheetThumbnail.jpg Worksheet: Multiple Representations of Linear Functions: Example 07 Worksheet: Multiple Representations of Linear Functions: Example 07

This is part of a collection of math worksheets on the topic of multiple representations of linear functions.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Graphs of Linear Functions