Illustrative Math Alignment: Grade 8 Unit 8
Pythagorean Theorem and Irrational Numbers
Lesson 1: The Areas of Squares and Their Side Lengths
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 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: Right Triangles | MATH EXAMPLES--Teacher's Guide: Right Triangles
This set of tutorials provides 26 examples of how to find the length of a side of a triangle using given angle or side measurements. 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. |
Right Triangles |
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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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Paper-and-Pencil Quiz: Distance Formula (Easy) | Paper-and-Pencil Quiz: Distance Formula (Easy)
This is part of a collection of math quizzes on the topic of the distance formula. 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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Distance Formula and The Distance Formula |
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Paper-and-Pencil Quiz: Distance Formula (Hard) | Paper-and-Pencil Quiz: Distance Formula (Hard)
This is part of a collection of math quizzes on the topic of the distance formula. 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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Distance Formula and The Distance Formula |
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Paper-and-Pencil Quiz: Distance Formula (Medium) | Paper-and-Pencil Quiz: Distance Formula (Medium)
This is part of a collection of math quizzes on the topic of the distance formula. 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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Distance Formula and The Distance Formula |
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Techniques for Solving Equations | INSTRUCTIONAL RESOURCE: Tutorial: Techniques for Solving Equations
In this tutorial, students are shown the process of solving equations. In particular, they look at the properties of equality that allow for the manipulation of equations in order to arrive at a solution. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Equations and Inequalities |
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Video Transcript: Rational Numbers: Rational Numbers and Irrational Numbers | Video Transcript: Rational Numbers: Rational Numbers and Irrational Numbers
This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers and Irrational Numbers. 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 LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 2 | Video Tutorial: Rational Numbers: Video 2
TopicRational Numbers DescriptionThe video explores rational and irrational numbers. Rational numbers include integers, fractions, and repeating decimals. Irrational numbers, such as the square root of non-perfect squares and pi, are non-terminating and non-repeating. Examples include Pythagorean triples and circle circumference ratios. Applications focus on distinguishing between the two. |
Rational Expressions |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 16 | VIDEO: TI-Nspire CX Mini-Tutorial: Quadratic Formula Template
In this TI-Nspire CX tutoria llearn how to program a function for solving quadratic equations. |
Quadratic Formula |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 18 | VIDEO: TI-Nspire CX Mini-Tutorial: Slope Formula 1
In this TI-Nspire CX tutorial, the Graph Window is used to calculate the slope of the line between two points. The text window is used to generate a formula linked to coordinate values. Note: This video does not contain audio. |
Slope |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 19 | VIDEO: TI-Nspire CX Mini-Tutorial: Slope Formula 2
In this TI-Nspire CX tutorial, the Graph Window and Spreadsheet Window are used to calculate the slope of the line between two points. The coordinates of the points are linked to variables, which are then used in the Spreadsheet Window to calculate the slope. The split-screen, dynamically linked windows allow you to manipulate the points, while getting an updated value for the slope. Note: This video does not include audio. |
Slope |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 20 | VIDEO: TI-Nspire CX Mini-Tutorial: Slope Formula 3
In this Nspire CX tutorial, randomly create two points in a Spreadsheet Window. Graph them as a scatterplot. Connect the two points using the Line tool, then measure the slope of the line. Creating new random coordinates will yield a new line with a new slope. Note: This video does not include audio. |
Slope |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 21 | VIDEO: TI-Nspire CX Mini-Tutorial: Slope Formula 4
In this TI-Nspire CX tutorial, use the Geometry tools to construct a line whose measurements for the rise and run can be used to calculate the slope. Note: This video does not contain audio. |
Slope |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 22 | VIDEO: TI-Nspire CX Mini-Tutorial: Slope of a Line Between Two Points
In this Nspire CX tutorial learn how to find the slope between two points connected by a line. |
Slope-Intercept Form |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 23 | VIDEO: TI-Nspire CX Mini-Tutorial: Slope-Intercept Form with Sliders
In this Nspire CX tutorial linear functions in slope-intercept form are graphed using sliders. |
Slope-Intercept Form |
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Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01 | Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01
This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Distance Formula and The Distance Formula |
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Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02 | Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02
This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Distance Formula and The Distance Formula |
