Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 2: Introduction to Functions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
LogarithmicFunctionsTablesGraphs--Example88.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 88 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 88

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example89.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 89 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 89

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example90.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 90 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 90

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example91.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 91 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 91

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example92.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 92 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 92

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example93.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 93 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 93

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example94.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 94 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 94

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example95.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 95 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 95

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example96.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 96 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 96

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example97.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 97 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 97

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example98.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 98 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 98

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example99.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 99 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 99

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

Exponential and Logarithmic Functions and Equations
MATH EXAMPLES--Teacher's Guide: Absolute Value Functions MATH EXAMPLES--Teacher's Guide: Absolute Value Functions MATH EXAMPLES--Teacher's Guide: Absolute Value Functions

This Teacher's Guide provides an overview of the 21 worked-out examples of graphs of absolute value functions.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

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Special Functions
Math in the News: Issue 107--Thanksgiving Temps Math in the News: Issue 107--Thanksgiving Temps Math in the News: Issue 107--Thanksgiving Temps

November 2015. In this issue of Math in the News we explore logarithmic functions to model the thawing of frozen turkeys. We look at USDA guidelines to determine data points and use a graphing calculator to create mathematical models.

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.

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Applications of Exponential and Logarithmic Functions
Paper-and-Pencil Quiz: Absolute Value Functions (Easy) Paper-and-Pencil Quiz: Absolute Value Functions (Easy) Paper-and-Pencil Quiz: Absolute Value Functions (Easy)

This is part of a collection of math quizzes on the topic of absolute value functions.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

Special Functions
Paper-and-Pencil Quiz: Absolute Value Functions (Hard) Paper-and-Pencil Quiz: Absolute Value Functions (Hard) Paper-and-Pencil Quiz: Absolute Value Functions (Hard)

This is part of a collection of math quizzes on the topic of absolute value functions.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

Special Functions
Paper-and-Pencil Quiz: Absolute Value Functions (Medium) Paper-and-Pencil Quiz: Absolute Value Functions (Medium) Paper-and-Pencil Quiz: Absolute Value Functions (Medium)

This is part of a collection of math quizzes on the topic of absolute value functions.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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ary">click on this link.

Special Functions
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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ary">click on this link.

Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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

Quiz Library

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ary">click on this link.

Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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Quiz Library

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

ary">click on this link.

Point-Slope Form and Slope-Intercept Form
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
Quizlet Flash Cards: Evaluating Functions Quizlet Flash Cards: Evaluating Functions Description

In this set of Quizlet flash cards test understanding of functions.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Quizlet Library

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Relations and Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 01 Quizlet Flash Cards: Evaluating Linear Functions, Set 01 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 02 Quizlet Flash Cards: Evaluating Linear Functions, Set 02 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 03 Quizlet Flash Cards: Evaluating Linear Functions, Set 03 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 04 Quizlet Flash Cards: Evaluating Linear Functions, Set 04 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 05 Quizlet Flash Cards: Evaluating Linear Functions, Set 05 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 06 Quizlet Flash Cards: Evaluating Linear Functions, Set 06 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 07 Quizlet Flash Cards: Evaluating Linear Functions, Set 07 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

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Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 08 Quizlet Flash Cards: Evaluating Linear Functions, Set 08 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 09 Quizlet Flash Cards: Evaluating Linear Functions, Set 09 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 10 Quizlet Flash Cards: Evaluating Linear Functions, Set 10 Description

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Linear Functions
Quizlet Flash Cards: Identifying Functions Quizlet Flash Cards: Identifying Functions Description

In this set of Quizlet flash cards test understanding of functions.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

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Relations and Functions
Video Transcript: Algebra Nspirations: Functions and Relations, Part 2 Video Transcript: Algebra Nspirations: Functions and Relations, 2 Video Transcript: Algebra Nspirations: Functions and Relations, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we look at functions.

This is part of a collection of video transcript from the Algebra Nspirations video series. 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.

Applications of Functions and Relations and Relations and Functions
Video Transcript: Algebra Nspirations: Logarithms and Logarithmic Functions Video Transcript: Algebra Nspirations: Logarithms Video Transcript: Algebra Nspirations: Logarithms and Logarithmic Functions

This is the transcript for the video of same title. Video contents: 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

Applications of Exponential and Logarithmic Functions and Graphs of Exponential and Logarithmic Functions
Video Transcript: Algebra Nspirations: Rational Functions and Expressions Video Transcript: Algebra Nspirations: Rational Functions and Expressions Video Transcript: Algebra Nspirations: Rational Functions and Expressions

This is the transcript for the video of same title. Video contents: 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

Rational Expressions and Rational Functions and Equations
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 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, 1

Topic

Linear Functions

Description

Introduces linear functions with examples like staircases, explaining slope, intercepts, and applications in real-world scenarios.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

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, 3

Topic

Linear Functions

Description

Uses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

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, 3

Topic

Functions and Relations

Description

Building on the prior section, this video elaborates on function rules and notation, graphing diverse functions such as linear, quadratic, and step functions. Key terms include domain, range, and vertical line test. Applications highlight real-world uses like analyzing study hours and grades. Technology aids in demonstrating increasing and decreasing functions visually.

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