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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
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphs of Absolute Value Functions Closed Captioned Video: Graphs of Absolute Value Functions Closed Captioned Video: 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. This Mini-Tutorial Video includes a worksheet.

Special Functions
Closed Captioned Video: Integers: Integers and Absolute Value Closed Captioned Video: Integers: Integers and Absolute Value Closed Captioned Video: Integers: Integers and Absolute Value

Video Tutorial: Integers: Integers and Absolute Value. In this video students continue their exploration of integers by investigating 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.

Numerical Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers and Absolute Value Closed Captioned Video: Rational Numbers: Rational Numbers and Absolute Value Closed Captioned Video: 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
Closed Captioned Video: Rational Numbers: Rational Numbers on a Number Line Closed Captioned Video: Rational Numbers: Rational Numbers on a Number Line Closed Captioned Video: 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
Definition--AbsoluteValue.jpg Definition--Absolute Value Definition--Absolute Value

This is part of a collection of math definitions from Media4Math's Visual Glossary.

Numerical Expressions
Definition--AbsoluteValueFunctions.jpg Definition--Absolute Value Function Definition--Absolute Value Function

This is part of a collection of math definitions from Media4Math's Visual Glossary.

Special Functions
Definition--Calculus Topics--Absolute Value Function Definition--Calculus Topics--Absolute Value Function Definition--Calculus Topics--Absolute Value Function

Topic

Calculus

Definition

The absolute value function, denoted as f(x) = |x|, returns the non-negative value of x without regard to its sign. Graphically, it forms a V-shape centered at the origin.

Calculus Vocabulary
Definition--Functions and Relations Concepts--Absolute Value Function Definition--Functions and Relations Concepts--Absolute Value Function Absolute Value Function

 

 

Topic

Functions and Relations

Definition

An absolute value function is a function that contains an algebraic expression within absolute value symbols. It is defined as 

$$ f(x) = |x| $$

where |x| denotes the absolute value ofx.

Description

The absolute value function is significant in mathematics because it measures the distance of a number from zero on the number line, regardless of direction. This function is linear in nature, as it can be broken into two linear pieces: one for 

$$ x \geq 0 $$

 and one for 

$$ x < 0 $$

Special Functions
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: Math Examples--Modeling Integers Using Algebra Tiles INSTRUCTIONAL RESOURCE: Math Examples 31 INSTRUCTIONAL RESOURCE: Math Examples--Modeling Integers Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Numerical and Algebraic Expressions
MATH EXAMPLES--Absolute Value INSTRUCTIONAL RESOURCE: Math Examples 57 MATH EXAMPLES--Absolute Value

The complete set of 21 examples that make up this set of tutorials. NOTE: The download is a PPT file.

Special Functions
MATH EXAMPLES--Absolute Value Functions in Tabular and Graph Form INSTRUCTIONAL RESOURCE: Math Examples 58 MATH EXAMPLES--Absolute Value Functions in Tabular and Graph Form

This set of tutorials provides 40 examples of absolute value functions in tabular and graph form. NOTE: The download is a PPT file.

Special Functions
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
Math Example: Absolute Value and Opposites--Example 1 Math Example: Absolute Value and Opposites--Example 1 Math Example: Absolute Value and Opposites--Example 1

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 10 Math Example: Absolute Value and Opposites--Example 10 Math Example: Absolute Value and Opposites--Example 10

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 11 Math Example: Absolute Value and Opposites--Example 11 Math Example: Absolute Value and Opposites--Example 11

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 2 Math Example: Absolute Value and Opposites--Example 2 Math Example: Absolute Value and Opposites--Example 2

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 3 Math Example: Absolute Value and Opposites--Example 3 Math Example: Absolute Value and Opposites--Example 3

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 4 Math Example: Absolute Value and Opposites--Example 4 Math Example: Absolute Value and Opposites--Example 4

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 5 Math Example: Absolute Value and Opposites--Example 5 Math Example: Absolute Value and Opposites--Example 5

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 6 Math Example: Absolute Value and Opposites--Example 6 Math Example: Absolute Value and Opposites--Example 6

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 7 Math Example: Absolute Value and Opposites--Example 7 Math Example: Absolute Value and Opposites--Example 7

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 8 Math Example: Absolute Value and Opposites--Example 8 Math Example: Absolute Value and Opposites--Example 8

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value and Opposites--Example 9 Math Example: Absolute Value and Opposites--Example 9 Math Example: Absolute Value and Opposites--Example 9

This is part of a collection of math examples that explore different properties of absolute value. From comparing absolute values of different numerical expressions to different representations of absolute value functions, this collection provides a wide array of examples.

Numerical Expressions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 1 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 1 Absolute Value Functions in Tabular and Graph Form: Example 1

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 10 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 10 Absolute Value Functions in Tabular and Graph Form: Example 10

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 11 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 11 Absolute Value Functions in Tabular and Graph Form: Example 11

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 12 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 12 Absolute Value Functions in Tabular and Graph Form: Example 12

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 13 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 13 Absolute Value Functions in Tabular and Graph Form: Example 13

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 14 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 14 Absolute Value Functions in Tabular and Graph Form: Example 14

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 15 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 15 Absolute Value Functions in Tabular and Graph Form: Example 15

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 16 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 16 Absolute Value Functions in Tabular and Graph Form: Example 16

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 17 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 17 Absolute Value Functions in Tabular and Graph Form: Example 17

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 18 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 18 Absolute Value Functions in Tabular and Graph Form: Example 18

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 19 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 19 Absolute Value Functions in Tabular and Graph Form: Example 19

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 2 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 2 Absolute Value Functions in Tabular and Graph Form: Example 2

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 20 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 20 Absolute Value Functions in Tabular and Graph Form: Example 20

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 21 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 21 Absolute Value Functions in Tabular and Graph Form: Example 21

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 22 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 22 Absolute Value Functions in Tabular and Graph Form: Example 22

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 23 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 23 Absolute Value Functions in Tabular and Graph Form: Example 23

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 24 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 24 Absolute Value Functions in Tabular and Graph Form: Example 24

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 25 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 25 Absolute Value Functions in Tabular and Graph Form: Example 25

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 26 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 26 Absolute Value Functions in Tabular and Graph Form: Example 26

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 27 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 27 Absolute Value Functions in Tabular and Graph Form: Example 27

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 28 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 28 Absolute Value Functions in Tabular and Graph Form: Example 28

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 29 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 29 Absolute Value Functions in Tabular and Graph Form: Example 29

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 3 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 3 Absolute Value Functions in Tabular and Graph Form: Example 3

Topic

Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 30 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 30 Absolute Value Functions in Tabular and Graph Form: Example 30

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 31 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 31 Absolute Value Functions in Tabular and Graph Form: Example 31

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Special Functions

Special Functions
Math Example: Absolute Value Functions in Tabular and Graph Form: Example 32 Math Example: Absolute Value Functions in Tabular and Graph Form: Example 32 Absolute Value Functions in Tabular and Graph Form: Example 32

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Special Functions

Special Functions