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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 7: Comparing Numbers and Distance from Zero

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Example: Modeling Integers Using Algebra Tiles: Example 15 Math Example: Modeling Integers Using Algebra Tiles: Example 15 Math Example: Modeling Integers Using Algebra Tiles: Example 15

Topic

Numerical Expressions

Description

This example demonstrates how to model the integer -5 using algebra tiles. Five red tiles are arranged in a row, each representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 16 Math Example: Modeling Integers Using Algebra Tiles: Example 16 Math Example: Modeling Integers Using Algebra Tiles: Example 16

Topic

Numerical Expressions

Description

This example illustrates how to model the integer -6 using algebra tiles. Six red tiles are arranged in a row, each representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 17 Math Example: Modeling Integers Using Algebra Tiles: Example 17 Math Example: Modeling Integers Using Algebra Tiles: Example 17

Topic

Numerical Expressions

Description

This example demonstrates how to model the integer -7 using algebra tiles. Seven red tiles are arranged in a row, each representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 18 Math Example: Modeling Integers Using Algebra Tiles: Example 18 Math Example: Modeling Integers Using Algebra Tiles: Example 18

Topic

Numerical Expressions

Description

This example illustrates how to model the integer -8 using algebra tiles. Eight red tiles are arranged in a row, each representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 19 Math Example: Modeling Integers Using Algebra Tiles: Example 19 Math Example: Modeling Integers Using Algebra Tiles: Example 19

Topic

Numerical Expressions

Description

This example demonstrates how to model the integer -9 using algebra tiles. Nine red tiles are arranged in a row, each representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 2 Math Example: Modeling Integers Using Algebra Tiles: Example 2 Math Example: Modeling Integers Using Algebra Tiles: Example 2

Topic

Numerical Expressions

Description

In this example, we see how to model the number +2 using algebra tiles. The visualization of this integer allows students to understand the concept better. The use of algebra tiles provides an excellent representation of positive numbers, showcasing how they build up sequentially. This is essential in helping students grasp the concept of numerical expressions, particularly with visual aids. Example 2. Model the integer +2. Use Algebra Tiles to model. This collection enhances learning as students can see multiple examples of how each integer is represented, facilitating a solid understanding of the concept.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 20 Math Example: Modeling Integers Using Algebra Tiles: Example 20 Math Example: Modeling Integers Using Algebra Tiles: Example 20

Topic

Numerical Expressions

Description

This example illustrates how to model the integer -10 using algebra tiles. Ten red tiles are arranged in a row, each representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 21 Math Example: Modeling Integers Using Algebra Tiles: Example 21 Math Example: Modeling Integers Using Algebra Tiles: Example 21

Topic

Numerical Expressions

Description

This example demonstrates how to model zero using algebra tiles. The image shows a yellow tile (representing +1) and a red tile (representing -1) placed side by side. This visual representation helps students understand the concept of zero as the balance between positive and negative values. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 3 Math Example: Modeling Integers Using Algebra Tiles: Example 3 Math Example: Modeling Integers Using Algebra Tiles: Example 3

Topic

Numerical Expressions

Description

In this example, we see how to model the number +3 using algebra tiles. The visualization of this integer allows students to understand the concept better. The use of algebra tiles provides an excellent representation of positive numbers, showcasing how they build up sequentially. This is essential in helping students grasp the concept of numerical expressions, particularly with visual aids. Example 3. Model the integer +3. Use Algebra Tiles to model. This collection enhances learning as students can see multiple examples of how each integer is represented, facilitating a solid understanding of the concept.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 4 Math Example: Modeling Integers Using Algebra Tiles: Example 4 Math Example: Modeling Integers Using Algebra Tiles: Example 4

Topic

Numerical Expressions

Description

In this example, we see how to model the number +4 using algebra tiles. The visualization of this integer allows students to understand the concept better. The use of algebra tiles provides an excellent representation of positive numbers, showcasing how they build up sequentially. This is essential in helping students grasp the concept of numerical expressions, particularly with visual aids. Example 4. Model the integer +4. Use Algebra Tiles to model. This collection enhances learning as students can see multiple examples of how each integer is represented, facilitating a solid understanding of the concept.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 5 Math Example: Modeling Integers Using Algebra Tiles: Example 5 Math Example: Modeling Integers Using Algebra Tiles: Example 5

Topic

Numerical Expressions

Description

In this example, we see how to model the number +5 using algebra tiles. The visualization of this integer allows students to understand the concept better. The use of algebra tiles provides an excellent representation of positive numbers, showcasing how they build up sequentially. This is essential in helping students grasp the concept of numerical expressions, particularly with visual aids. Example 5: Model the integer +5. Solution: Use Algebra Tiles to model. This collection enhances learning as students can see multiple examples of how each integer is represented, facilitating a solid understanding of the concept.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 6 Math Example: Modeling Integers Using Algebra Tiles: Example 6 Math Example: Modeling Integers Using Algebra Tiles: Example 6

Topic

Numerical Expressions

Description

In this example, we see how to model the number +6 using algebra tiles. The visualization of this integer allows students to understand the concept better. The use of algebra tiles provides an excellent representation of positive numbers, showcasing how they build up sequentially. This is essential in helping students grasp the concept of numerical expressions, particularly with visual aids. Example 6: Model the integer +6. Solution: Use Algebra Tiles to model. This collection enhances learning as students can see multiple examples of how each integer is represented, facilitating a solid understanding of the concept.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 7 Math Example: Modeling Integers Using Algebra Tiles: Example 7 Math Example: Modeling Integers Using Algebra Tiles: Example 7

Topic

Numerical Expressions

Description

In this example, we see how to model the number +7 using algebra tiles. The visualization of this integer allows students to understand the concept better. The use of algebra tiles provides an excellent representation of positive numbers, showcasing how they build up sequentially. This is essential in helping students grasp the concept of numerical expressions, particularly with visual aids. Example 7: Model the integer +7. Solution: Use Algebra Tiles to model. This collection enhances learning as students can see multiple examples of how each integer is represented, facilitating a solid understanding of the concept.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 8 Math Example: Modeling Integers Using Algebra Tiles: Example 8 Math Example: Modeling Integers Using Algebra Tiles: Example 8

Topic

Numerical Expressions

Description

In this example, we see how to model the integer +8 using algebra tiles. Eight yellow tiles are arranged in a row, each representing a positive unit. This visual representation helps students understand the concept of positive integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions and Equations
Math Example: Modeling Integers Using Algebra Tiles: Example 9 Math Example: Modeling Integers Using Algebra Tiles: Example 9 Math Example: Modeling Integers Using Algebra Tiles: Example 9

Topic

Numerical Expressions

Description

This example demonstrates how to model the integer +9 using algebra tiles. Nine yellow tiles are arranged in a row, each representing a positive unit. This visual representation helps students understand the concept of positive integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Algebra Tiles--Expressions 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.

Related Resources

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Special 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

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

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).

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.

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

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.

Special Functions
Video Transcript: Integers: Integers and Absolute Value Video Transcript: Integers: Integers and Absolute Value Video Transcript: Integers: Integers and Absolute Value

This is the transcript that goes with the video segment entitled Video: Integers: Integers and Absolute Value.

This is part of a collection of video transcripts for the video tutorial series on Integers. 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.

Numerical Expressions
Video Transcript: Rational Numbers: Rational Numbers and Absolute Value Video Transcript: Rational Numbers: Rational Numbers and Absolute Value Video Transcript: Rational Numbers: Rational Numbers and Absolute Value

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers and Absolute Value.

This is part of a collection of video transcripts for the video tutorial series on Rational Numbers. 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.

Rational Expressions
Video Transcript: Rational Numbers: Rational Numbers On a Number Line Video Transcript: Rational Numbers: Rational Numbers On a Number Line Video Transcript: Rational Numbers: Rational Numbers On a Number Line

Distance Measures on a Number Line

A Brief Review of Number Lines
Rational Expressions
Video Transcript: TI-Nspire Mini-Tutorial: Graphs of Absolute Value Functions Video Transcript: TI-Nspire Mini-Tutorial: Graphs of Absolute Value Functions Video Transcript: TI-Nspire Mini-Tutorial: Graphs of Absolute Value Functions

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphs of Absolute Value Functions.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. 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.

Special Functions
VideoTutorial--IntegersTutorialVideoThumbnail03.jpg Video Tutorial: Integers, Video 3 Video Tutorial: Integers: Integers and Absolute Value

This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.

The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward.

What Are Integers?

In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity.

Numerical Expressions
VideoTutorial--RationalNumbersVideoThumbnail03.jpg Video Tutorial: Rational Numbers: Video 3 Video Tutorial: Rational Numbers: Rational Numbers on a Number Line

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
VideoTutorial--RationalNumbersVideoThumbnail04.jpg Video Tutorial: Rational Numbers: Video 4 Video Tutorial: Rational Numbers: Rational Numbers and Absolute Value

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
VIDEO, Brief Review, Graphing Integers on a Number Line VIDEO: Brief Review, Video 2 VIDEO: Brief Review: Graphing Integers on a Number Line

Watch this video about integers. (The transcript is included.)

Video Transcript

 

Integers make up a number system that is very useful for certain types of quantities. In this video we will explore what integers are in the context of real-world situations where it makes sense to use integers for counting and measurement.

Let’s start with an example.

Numerical Expressions
VIDEO: Brief Review: Distance Measures on a Number Line VIDEO: Brief Review, Video 6 VIDEO: Brief Review: Distance Measures on a Number Line

Distance Measures on a Number Line

A Brief Review of Number Lines
Numerical Expressions
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 Mini-Tutorial: Graphs of Absolute Value Functions VIDEO: Ti-Nspire Mini-Tutorial, Video 85 VIDEO: TI-Nspire Mini-Tutorial: Graphs of Absolute Value Functions

In this TI Nspire tutorial for the TI-Nspire, the Graph Window is used to graph absolute value functions. This video supports the TI-Nspire Clickpad and Touchpad.

Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 01 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 01

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 02 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 02

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

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 03 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 03

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

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 04 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 04

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

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

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Worksheet Library

To see the complete collection of Worksheets, click on this link.
Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 05 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 05

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

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 06 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 06

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 07 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 07

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 08 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 08

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 09 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 09

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 10 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 10

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 11 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 11

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 12 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 12

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 13 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 13

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 14 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 14

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 15 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 15

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 16 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 16

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

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Worksheet Library

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 17 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 17

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 18 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 18

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 19 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 19

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

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Special Functions
WorksheetThumbnail.jpg Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 20 Worksheet: Analyzing Multiple Representations of Absolute Value Functions: Example 20

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

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Worksheet Library

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Special Functions