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 4 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 4 Equations with Angles from Parallel Lines Cut by a Transversal--Example 4

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 5 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 5

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 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

Topic

Points and Lines

 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, 1

Topic

Points and Lines

Description

This segment introduces the fundamentals of points, lines, planes, and angles, focusing on Euclid's contributions and applications in architecture. Key concepts include collinear points, planes, and their role in creating structures like the Parthenon. The video underscores geometry’s foundational role in construction and design.

This video explores the key aspects of Points and Lines, providing real-world applications and in-depth mathematical explanations.

 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, 2

Topic

Points and Lines

Description

This segment explores the concept of geometric points using subatomic particles as examples. It defines points as dimensionless locations and discusses their applications in particle physics, particularly in modeling collisions within the Large Hadron Collider.

This video explores the key aspects of Points and Lines, providing real-world applications and in-depth mathematical explanations.

 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, 3

Topic

Points and Lines

Description

This segment explains the properties of lines, focusing on parallel and perpendicular arrangements in city planning.          It emphasizes that lines represent the shortest distance between points and discusses their efficiency in urban design and transportation.

This video explores the key aspects of Points and Lines, providing real-world applications and in-depth mathematical explanations.

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