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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Angles, Triangles, and Prisms

Lesson 3: Nonadjacent Angles

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Example--Geometric Transformation--Translating Triangles--Example 16 Math Example--Geometric Transformation--Translating Triangles--Example 16 Math Example--Geometric Transformation--Translating Triangles--Example 16

Topic

Transformations

Description

Triangle ABC is translated diagonally 4 units to the right and 3 units upward to form triangle A'B'C'. Example 16: The translation is described as 4 units to the right and 3 units up.

In this topic, students explore transformations, focusing specifically on translating triangles. These examples visually demonstrate how shapes move within a coordinate plane, reinforcing understanding of shifts along axes. Translation examples assist in grasping the basic concept of shifting figures without altering their orientation or shape.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 17 Math Example--Geometric Transformation--Translating Triangles--Example 17 Math Example--Geometric Transformation--Translating Triangles--Example 17

Topic

Transformations

Description

Triangle ABC is translated diagonally 4 units downward and 4 units to the right to form triangle A'B'C'. Example 17: The translation is described as 4 units down and 4 units to the right.

In this topic, students explore transformations, focusing specifically on translating triangles. These examples visually demonstrate how shapes move within a coordinate plane, reinforcing understanding of shifts along axes. Translation examples assist in grasping the basic concept of shifting figures without altering their orientation or shape.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 18 Math Example--Geometric Transformation--Translating Triangles--Example 18 Math Example--Geometric Transformation--Translating Triangles--Example 18

Topic

Transformations

Description

 

Triangle ABC is translated diagonally 3 units upward and 3 units to the right to form triangle A'B'C'. Example 18: The translation is described as 3 units up and 3 units to the right.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 19 Math Example--Geometric Transformation--Translating Triangles--Example 19 Math Example--Geometric Transformation--Translating Triangles--Example 19

Topic

Transformations

Description

Triangle ABC is translated diagonally 6 units to the left and 4 units downward to form triangle A'B'C'. Example 19: The translation is described as 6 units to the left and 4 units down.

In this topic, students explore transformations, focusing specifically on translating triangles. These examples visually demonstrate how shapes move within a coordinate plane, reinforcing understanding of shifts along axes. Translation examples assist in grasping the basic concept of shifting figures without altering their orientation or shape.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 2 Math Example--Geometric Transformation--Translating Triangles--Example 2 Math Example--Geometric Transformation--Translating Triangles--Example 2

Topic

Transformations

Description

A triangle on a grid is translated 5 units to the right. The diagram shows the original triangle ABC and the new position, A'B'C'.. Example 2: "Draw the triangle that results from the following translation: 5 units to the right." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 20 Math Example--Geometric Transformation--Translating Triangles--Example 20 Math Example--Geometric Transformation--Translating Triangles--Example 20

Topic

Transformations

Description

Triangle ABC is translated diagonally 2 units to the left and 5 units upward to form triangle A'B'C'. Example 20: The translation is described as 2 units to the left and 5 units up.

In this topic, students explore transformations, focusing specifically on translating triangles. These examples visually demonstrate how shapes move within a coordinate plane, reinforcing understanding of shifts along axes. Translation examples assist in grasping the basic concept of shifting figures without altering their orientation or shape.

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 21 Math Example--Geometric Transformation--Translating Triangles--Example 21 Math Example--Geometric Transformation--Translating Triangles--Example 21

Topic

Transformations

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 22 Math Example--Geometric Transformation--Translating Triangles--Example 22 Math Example--Geometric Transformation--Translating Triangles--Example 22

Topic

Transformations

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 3 Math Example--Geometric Transformation--Translating Triangles--Example 3 Math Example--Geometric Transformation--Translating Triangles--Example 3

Topic

Transformations

Description

A triangle on a grid is translated 4 units up. The figure displays both the original and translated triangles ABC and A'B'C'.. Example 3: "Draw the triangle that results from the following translation: 4 units up." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 4 Math Example--Geometric Transformation--Translating Triangles--Example 4 Math Example--Geometric Transformation--Translating Triangles--Example 4

Topic

Transformations

Description

A triangle on a grid is translated 5 units down. It shows the original triangle and its new position after translation, labeled A'B'C'. Example 4: "Draw the triangle that results from the following translation: 5 units down." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 5 Math Example--Geometric Transformation--Translating Triangles--Example 5 Math Example--Geometric Transformation--Translating Triangles--Example 5

Topic

Transformations

Description

A triangle is translated 4 units to the left and 2 units down. Both the original and the new triangles, ABC and A'B'C', are illustrated. Example 5: "Draw the triangle that results from the following translation: 4 units to the left, 2 units down." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 6 Math Example--Geometric Transformation--Translating Triangles--Example 6 Math Example--Geometric Transformation--Translating Triangles--Example 6

Topic

Transformations

Description

The triangle is translated 5 units to the right and 3 units up. The image includes both original and translated triangles, labeled ABC and A'B'C'. Example 6: "Draw the triangle that results from the following translation: 5 units to the right, 3 units up." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 7 Math Example--Geometric Transformation--Translating Triangles--Example 7 Math Example--Geometric Transformation--Translating Triangles--Example 7

Topic

Transformations

Description

A triangle is translated 4 units up and 5 units left, showing the original ABC and translated A'B'C' triangles. Example 7: "Draw the triangle that results from the following translation: 4 units up, 5 units left." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 8 Math Example--Geometric Transformation--Translating Triangles--Example 8 Math Example--Geometric Transformation--Translating Triangles--Example 8

Topic

Transformations

Description

 

The triangle is translated 5 units up and 2 units right. The image shows both the original and translated positions of the triangle. Example 8: "Draw the triangle that results from the following translation: 5 units up, 2 units rogjt." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 9 Math Example--Geometric Transformation--Translating Triangles--Example 9 Math Example--Geometric Transformation--Translating Triangles--Example 9

Topic

Transformations

Description

A triangle is translated 4 units to the right and 3 units down. The image shows both the original and the new triangle positions. Example 9: "Draw the triangle that results from the following translation: 4 units to the right, 3 units down." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Numbers--Partitioning Rectangles: Example 1 Math Example--Numbers--Partitioning Rectangles: Example 1 Math Example--Numbers--Partitioning Rectangles: Example 1

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 2 Math Example--Numbers--Partitioning Rectangles: Example 2 Math Example--Numbers--Partitioning Rectangles: Example 2

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 3 Math Example--Numbers--Partitioning Rectangles: Example 3 Math Example--Numbers--Partitioning Rectangles: Example 3

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 4 Math Example--Numbers--Partitioning Rectangles: Example 4 Math Example--Numbers--Partitioning Rectangles: Example 4

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 5 Math Example--Numbers--Partitioning Rectangles: Example 5 Math Example--Numbers--Partitioning Rectangles: Example 5

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 6 Math Example--Numbers--Partitioning Rectangles: Example 6 Math Example--Numbers--Partitioning Rectangles: Example 6

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 7 Math Example--Numbers--Partitioning Rectangles: Example 7 Math Example--Numbers--Partitioning Rectangles: Example 7

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Numbers--Partitioning Rectangles: Example 8 Math Example--Numbers--Partitioning Rectangles: Example 8 Math Example--Numbers--Partitioning Rectangles: Example 8

This is part of a collection of math examples that focus on numbers and their properties.

Identifying Shapes and Counting
Math Example--Right Triangles-- Example 1 Math Example--Right Triangles-- Example 1 Math Example--Right Triangles-- Example 1

Topic

Right Triangles

Description

This example presents a right triangle with sides of length 8 and 10, and an unknown hypotenuse labeled c. The task is to find the value of c using the Pythagorean Theorem. By applying the formula a2 + b2 = c2, we can calculate that c = √(102 + 82) = √(164) = 2 * √(41).

Right Triangles
Math Example--Right Triangles-- Example 10 Math Example--Right Triangles-- Example 10 Math Example--Right Triangles-- Example 10

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 11 Math Example--Right Triangles-- Example 11 Math Example--Right Triangles-- Example 11

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 12 Math Example--Right Triangles-- Example 12 Math Example--Right Triangles-- Example 12

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 13 Math Example--Right Triangles-- Example 13 Math Example--Right Triangles-- Example 13

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 14 Math Example--Right Triangles-- Example 14 Math Example--Right Triangles-- Example 14

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 15 Math Example--Right Triangles-- Example 15 Math Example--Right Triangles-- Example 15

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 16 Math Example--Right Triangles-- Example 16 Math Example--Right Triangles-- Example 16

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 17 Math Example--Right Triangles-- Example 17 Math Example--Right Triangles-- Example 17

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 18 Math Example--Right Triangles-- Example 18 Math Example--Right Triangles-- Example 18

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 19 Math Example--Right Triangles-- Example 19 Math Example--Right Triangles-- Example 19

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 2 Math Example--Right Triangles-- Example 2 Math Example--Right Triangles-- Example 2

Topic

Right Triangles

Description

In this example, we have a right triangle with sides of length 3 and 4, and an unknown hypotenuse labeled c. The goal is to determine the value of c using the Pythagorean Theorem. By applying the formula a2 + b2 = c2, we can calculate that c = √(32 + 42) = √(25) = 5.

This example builds upon the previous one, reinforcing the application of the Pythagorean Theorem in right triangles. It demonstrates how the theorem can be used with different side lengths, helping students understand its versatility in solving various right triangle problems.

Right Triangles
Math Example--Right Triangles-- Example 20 Math Example--Right Triangles-- Example 20 Math Example--Right Triangles-- Example 20

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 21 Math Example--Right Triangles-- Example 21 Math Example--Right Triangles-- Example 21

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 22 Math Example--Right Triangles-- Example 22 Math Example--Right Triangles-- Example 22

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 23 Math Example--Right Triangles-- Example 23 Math Example--Right Triangles-- Example 23

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 24 Math Example--Right Triangles-- Example 24 Math Example--Right Triangles-- Example 24

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 25 Math Example--Right Triangles-- Example 25 Math Example--Right Triangles-- Example 25

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 26 Math Example--Right Triangles-- Example 26 Math Example--Right Triangles-- Example 26

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 3 Math Example--Right Triangles-- Example 3 Math Example--Right Triangles-- Example 3

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 4 Math Example--Right Triangles-- Example 4 Math Example--Right Triangles-- Example 4

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 5 Math Example--Right Triangles-- Example 5 Math Example--Right Triangles-- Example 5

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 6 Math Example--Right Triangles-- Example 6 Math Example--Right Triangles-- Example 6

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 7 Math Example--Right Triangles-- Example 7 Math Example--Right Triangles-- Example 7

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 8 Math Example--Right Triangles-- Example 8 Math Example--Right Triangles-- Example 8

Topic

Right Triangles

Right Triangles
Math Example--Right Triangles-- Example 9 Math Example--Right Triangles-- Example 9 Math Example--Right Triangles-- Example 9

Topic

Right Triangles

Right Triangles
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 1 Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 1 Equations with Angles from Parallel Lines Cut by a Transversal--Example 1

Topic

Equations

Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities