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.
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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 8TopicRational Functions DescriptionThis 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 |
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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 9TopicRational Functions DescriptionThis 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 |
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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 1TopicSpecial Functions |
Polynomial Functions and Equations |
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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 10TopicSpecial Functions |
Polynomial Functions and Equations |
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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 11TopicSpecial Functions |
Polynomial Functions and Equations |
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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 12TopicSpecial Functions |
Polynomial Functions and Equations |
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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 13TopicSpecial Functions |
Polynomial Functions and Equations |
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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 14TopicSpecial Functions |
Polynomial Functions and Equations |
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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 15TopicSpecial Functions |
Polynomial Functions and Equations |
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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 16TopicSpecial Functions |
Polynomial Functions and Equations |
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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 17TopicSpecial Functions |
Polynomial Functions and Equations |
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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 18TopicSpecial Functions |
Polynomial Functions and Equations |
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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 19TopicSpecial Functions |
Polynomial Functions and Equations |
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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 2TopicSpecial Functions |
Polynomial Functions and Equations |
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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 20TopicSpecial Functions |
Polynomial Functions and Equations |
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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 21TopicSpecial Functions |
Polynomial Functions and Equations |
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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 22TopicSpecial Functions |
Polynomial Functions and Equations |
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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 23TopicSpecial Functions |
Polynomial Functions and Equations |
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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 24TopicSpecial Functions |
Polynomial Functions and Equations |
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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 25TopicSpecial Functions |
Polynomial Functions and Equations |
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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 26TopicSpecial Functions |
Polynomial Functions and Equations |
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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 27TopicSpecial Functions |
Polynomial Functions and Equations |
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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 28TopicSpecial Functions |
Polynomial Functions and Equations |
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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 29TopicSpecial Functions |
Polynomial Functions and Equations |
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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 3TopicSpecial Functions |
Polynomial Functions and Equations |
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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 30TopicSpecial Functions |
Polynomial Functions and Equations |
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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 31TopicSpecial Functions |
Polynomial Functions and Equations |
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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 32TopicSpecial Functions |
Polynomial Functions and Equations |
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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 33TopicSpecial Functions |
Polynomial Functions and Equations |
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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 34TopicSpecial Functions |
Polynomial Functions and Equations |
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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 35TopicSpecial Functions |
Polynomial Functions and Equations |
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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 36TopicSpecial Functions |
Polynomial Functions and Equations |
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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 37TopicSpecial Functions |
Polynomial Functions and Equations |
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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 38TopicSpecial Functions |
Polynomial Functions and Equations |
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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 39TopicSpecial Functions |
Polynomial Functions and Equations |
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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 4TopicSpecial Functions |
Polynomial Functions and Equations |
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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 40TopicSpecial Functions |
Polynomial Functions and Equations |
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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 5TopicSpecial Functions |
Polynomial Functions and Equations |
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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 6TopicSpecial Functions |
Polynomial Functions and Equations |
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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 7TopicSpecial Functions |
Polynomial Functions and Equations |
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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 8TopicSpecial Functions |
Polynomial Functions and Equations |
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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 9TopicSpecial Functions |
Polynomial Functions and Equations |
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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 1TopicRadical Functions DescriptionThis example illustrates the function y = √(x). The graph shows an increasing curve starting at the origin (0, 0) and rising as x increases. A table displays x-y coordinates for x-values of 0, 1, 3, 5, and 7, with the graph plotting these points to show their corresponding y-values. Students are tasked with creating a table of x-y coordinates and graphing the function y = √(x), with x-values of 0, 1, 3, 5, and 7 and corresponding y-values of 0, 1, 1.732, 2.236, and 2.646. |
Radical Functions and Equations |
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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 10TopicRadical Functions |
Radical Functions and Equations |
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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 11TopicRadical Functions |
Radical Functions and Equations |
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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 12TopicRadical Functions |
Radical Functions and Equations |
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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 13TopicRadical Functions |
Radical Functions and Equations |
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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 14TopicRadical Functions |
Radical Functions and Equations |
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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 15TopicRadical Functions |
Radical Functions and Equations |
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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 16TopicRadical Functions |
Radical Functions and Equations |
