Illustrative Math Alignment: Grade 8 Unit 8
Pythagorean Theorem and Irrational Numbers
Lesson 3: Rational and Irrational Numbers
Use the following Media4Math resources with this Illustrative Math lesson.
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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 EXAMPLES--Teacher's Guide: Completing the Square | MATH EXAMPLES--Teacher's Guide: Completing the Square
This Teacher's Guide provides an overview of the 4 worked-out examples that use the algorithm for completing the square. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Quadratic Formula and Quadratic Equations and Functions |
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MATH EXAMPLES--Teacher's Guide: The Quadratic Formula | MATH EXAMPLES--Teacher's Guide: The Quadratic Formula
This Teacher's Guide provides an overview of the 12 worked-out examples that show how to use the Quadratic Formula. 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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Quadratic Equations and Functions and Quadratic Formula |
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MATH EXAMPLES--The Discriminant | MATH EXAMPLES--The Discriminant
This set of tutorials provides 10 examples of finding the determinant of a quadratic equation to determine the number of real roots. NOTE: The download is a PPT file. |
Quadratic Equations and Functions and Quadratic Formula |
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Math in the News: Issue 87--The Wonders of 3D Printing | Math in the News: Issue 87--The Wonders of 3D Printing
January 2014. In this issue of Math in the News we look at 3D printing technology. In particular, we look at Nike's recent unveiling of a new running shoe developed using 3D printing. Mathematically, we look at recursive functions, since the 3D printing technology was used for rapid, iterative prototyping of the new shoe. We look at an example of a recursive function, using the Babylonian method to calculate the square root of a number. 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.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of 3D Geometry |
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Quizlet Flash Cards: Adding Rational Numbers, Set 01 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 02 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 03 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 04 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 05 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 06 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 07 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
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Quizlet Flash Cards: Adding Rational Numbers, Set 08 | Description Add rational numbers in this 20-flash card set. The values of the numerators and denominators are in the range -10 to 10. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. Related ResourcesTo see other resources related to this topic, click on the Resources tab above. Quizlet LibraryTo see the complete Quizlet Flash Card Library, click on this Link to see the collection. |
Numerical Expressions |
