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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 2

Dilations, Similarity, and Introducing Slope

Lesson 13: The Shadow Knows

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 6 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 6 Equations with Angles from Parallel Lines Cut by a Transversal--Example 6

Topic

Equations

 Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 7 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 7 Equations with Angles from Parallel Lines Cut by a Transversal--Example 7

Topic

Equations

 Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 8 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 8 Equations with Angles from Parallel Lines Cut by a Transversal--Example 8

Topic

Equations

 Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 9 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 9 Equations with Angles from Parallel Lines Cut by a Transversal--Example 9

Topic

Equations

 Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 1 Solving Equations with Angle Measures 2--Example 1

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 10 Solving Equations with Angle Measures 2--Example 10

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 2 Solving Equations with Angle Measures 2--Example 2

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 3 Solving Equations with Angle Measures 2--Example 3

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 4 Solving Equations with Angle Measures 2--Example 4

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 5 Solving Equations with Angle Measures 2--Example 5

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 6 Solving Equations with Angle Measures 2--Example 6

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 7 Solving Equations with Angle Measures 2--Example 7

Topic

Equations

Description

This example demonstrates solving equations involving angle measures in a kite. A kite has two pairs of adjacent congruent angles. In this case, we have angles represented as (x+50)°, (x+50)°, (y+20)°, and y°. To solve this problem, we apply two key principles: the sum of angles in a quadrilateral is 360°, and the sum of the angles of a triangle is 180°. You can use the triangle equation to solve for y. Once you determine the value for y, you can use that to find x using either the triangle or the quadrilateral equation. In the solution shown, the triangle equation is used. 

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 8 Solving Equations with Angle Measures 2--Example 8

Topic

Equations

Description

This example illustrates solving equations involving angle measures in a kite. The kite has two known angles of 70° and 40°, and two unknown angles represented as (x+y)°. To solve this problem, we look at the triangles formed by one of the diagonals of the kite and use the triangle equation. First solve for x with the top triangle. Once you find x, use that value to solve for y in the bottom triangle. You could also use the quadrilateral equation to solve for y.

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 Math Example--Solving Equations--Solving Equations with Angle Measures 2--Example 9 Solving Equations with Angle Measures 2--Example 9

Topic

Equations

 Solving Multistep Equations and Applications of Quadrilaterals
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 Solving Equations with Angle Measures--Example 1

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 Solving Equations with Angle Measures--Example 10

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 11 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 11 Solving Equations with Angle Measures--Example 11

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 12 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 12 Solving Equations with Angle Measures--Example 12

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 13 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 13 Solving Equations with Angle Measures--Example 13

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 14 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 14 Solving Equations with Angle Measures--Example 14

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 15 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 15 Solving Equations with Angle Measures--Example 15

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 2 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 2 Solving Equations with Angle Measures--Example 2

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 3 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 3 Solving Equations with Angle Measures--Example 3

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 4 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 4 Solving Equations with Angle Measures--Example 4

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 5 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 5 Solving Equations with Angle Measures--Example 5

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 6 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 6 Solving Equations with Angle Measures--Example 6

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 7 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 7 Solving Equations with Angle Measures--Example 7

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 8 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 8 Solving Equations with Angle Measures--Example 8

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
Math Example--Solving Equations--Solving Equations with Angle Measures--Example 9 Math Example--Solving Equations--Solving Equations with Angle Measures--Example 9 Solving Equations with Angle Measures--Example 9

Topic

Equations

 Solving Multistep Equations and Applications of Angles and Planes
MATH EXAMPLES--Teacher's Guide: Quadrilateral Classification MATH EXAMPLES--Teacher's Guide: Quadrilateral Classification MATH EXAMPLES--Teacher's Guide: Quadrilateral Classification

This set of tutorials provides 34 examples of the types of quadrilaterals and how to classify quadrilaterals based on the sides and angles.

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 Resources

To see resources related to this topic click on the Related Resources tab above.

 Definition of a Quadrilateral
Test Prep Interactive Quiz--Classifying Angles Test Prep Interactive Quiz--Classifying Angles Test Prep Interactive Quiz--Classifying Angles

This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

To see the complete of these quizzes, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

 Definition of an Angle
Video Tutorial: Parallel Lines Cut by a Transversal: Example 1 Video Tutorial: Parallel Lines Cut by a Transversal: Example 1

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 2 Video Tutorial: Parallel Lines Cut by a Transversal: Example 2

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 3 Video Tutorial: Parallel Lines Cut by a Transversal: Example 3

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 4 Video Tutorial: Parallel Lines Cut by a Transversal: Example 4

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 5 Video Tutorial: Parallel Lines Cut by a Transversal: Example 5

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 6 Video Tutorial: Parallel Lines Cut by a Transversal: Example 6

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 7 Video Tutorial: Parallel Lines Cut by a Transversal: Example 7

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
Video Tutorial: Parallel Lines Cut by a Transversal: Example 8 Video Tutorial: Parallel Lines Cut by a Transversal: Example 8

This is part of a collection of video tutorials on parallel lines cut by a transversal. Using the properties of these lines, the value of an unknown angle is calculated.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

 Parallel Lines
VIDEO: Geometry Applications: Points and Lines VIDEO: Geometry Applications: Points and Lines VIDEO: Geometry Applications: Points and Lines

In this program we explore the properties of points and lines. We do this in the context of two real-world applications. In the first, we go to CERN and learn about the Large Hadron Collidor. We look at how points can represent particle positions in space and look at properties of points and lines. In the second application we investigate the properties of lines in the context of city grids.

 Applications of Points and Lines, Definition of a Line and Definition of a Point
VIDEO: Geometry Applications: Points and Lines, Segment 1: Introduction VIDEO: Geometry Applications: Points and Lines, 1 VIDEO: Geometry Applications: Points and Lines, Segment 1: Introduction

Our understanding of geometry owes much to the ancient Greeks. We visit the ancient Acropolis and explore some of its geometric secrets.

 Applications of Points and Lines, Definition of a Line and Definition of a Point
VIDEO: Geometry Applications: Points and Lines, Segment 2: Points VIDEO: Geometry Applications: Points and Lines, 2 VIDEO: Geometry Applications: Points and Lines, Segment 2: Points

Geometric objects are abstractions that seem to have a connection to real world objects. In the case of a geometric point, we visit the CERN particle accelerator in Switzerland, where the smallest known subatomic particles are produced, to see how subatomic particles compare to geometric points. A mathematical analysis reveals the nature of geometric points and point-like materials objects.

 Applications of Points and Lines, Definition of a Line and Definition of a Point
VIDEO: Geometry Applications: Points and Lines, Segment 3: Lines VIDEO: Geometry Applications: Points and Lines, 3 VIDEO: Geometry Applications: Points and Lines, Segment 3: Lines

Many cities are laid out in a rectangular grid and are examples of intersecting lines and rays. We visit the city of Houston to investigate the geometric nature of the city grid in its downtown area. We explore properties of intersecting and parallel lines and why this is the most efficient way to organize a city or community.

 Applications of Points and Lines, Definition of a Line and Definition of a Point