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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 4: Tables, Equations, and Graphs of Functions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Rational Concepts--Rational Functions in Tabular and Graph Form: Example 8 Math Example--Rational Concepts--Rational Functions in Tabular and Graph Form: Example 8 Math Example--Rational Concepts--Rational Functions in Tabular and Graph Form: Example 8

Topic

Rational Functions

Description

This math example demonstrates the creation of a table of x-y coordinates and the graphing of the function y = 1 / (x - 1). The image showcases both the table of x-y coordinates and the resulting graph. The graph features a hyperbola with marked points on its curve, illustrating how the constant in the denominator affects the graph's position.

Rational Functions and Equations
Math Example--Rational Concepts--Rational Functions in Tabular and Graph Form: Example 9 Math Example--Rational Concepts--Rational Functions in Tabular and Graph Form: Example 9 Math Example--Rational Concepts--Rational Functions in Tabular and Graph Form: Example 9

Topic

Rational Functions

Description

This math example illustrates the creation of a table of x-y coordinates and the graphing of the function y = -1 / (-x + 1). The image presents both the table of x-y coordinates and the resulting graph. The graph is plotted with points labeled at specific coordinates, demonstrating how the negative signs in both the numerator and denominator affect the graph's shape and position.

Rational Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 1 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 1 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 1

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 10 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 10 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 10

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 11 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 11 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 11

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 12 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 12 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 12

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 13 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 13 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 13

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 14 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 14 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 14

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 15 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 15 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 15

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 16 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 16 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 16

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 17 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 17 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 17

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 18 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 18 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 18

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 19 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 19 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 19

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 2 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 2 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 2

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 20 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 20 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 20

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 21 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 21 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 21

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 22 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 22 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 22

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 23 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 23 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 23

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 24 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 24 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 24

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 25 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 25 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 25

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 26 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 26 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 26

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 27 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 27 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 27

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 28 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 28 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 28

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 29 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 29 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 29

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 3 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 3 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 3

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 30 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 30 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 30

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 31 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 31 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 31

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 32 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 32 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 32

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 33 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 33 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 33

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 34 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 34 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 34

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 35 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 35 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 35

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 36 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 36 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 36

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 37 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 37 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 37

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 38 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 38 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 38

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 39 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 39 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 39

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 4 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 4 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 4

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 40 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 40 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 40

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 5 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 5 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 5

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 6 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 6 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 6

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 7 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 7 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 7

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 8 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 8 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 8

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 9 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 9 Math Example--Special Functions--Cube Root Functions in Tabular and Graph Form: Example 9

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Polynomial Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 1 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 1 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 1

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 10 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 10 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 10

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 11 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 11 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 11

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 12 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 12 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 12

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 13 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 13 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 13

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 14 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 14 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 14

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 15 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 15 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 15

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations
Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 16 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 16 Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 16

This is part of a collection of math examples that focus on special functions. This includes step functions and radical functions.

Radical Functions and Equations