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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 6: Describing Transformations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Examples Math Examples Collection: Transformations

Overview

The Transformations collection on Media4Math offers a comprehensive set of 56 math examples, providing educators with a rich resource for teaching geometric transformations. This collection covers a wide range of skills and concepts related to transformations, including translations, reflections, rotations, and dilations.

 Definition of Transformations
Math Videos Math Video Collection: Geometry Applications Video Series: Transformations

Overview

This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Transformations. There are a total of 12 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

 Applications of Transformations and Definition of Transformations
Coordinate Collection Math Definitions Collection: Coordinate Systems

Overview

This collection aggregates all the definition image cards around the topic of Coordinate Systems vocabulary. There are a total of 26 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 

 

 Coordinate Systems
Closed Captioned Video: Geometry Applications: Transformations Closed Captioned Video: Geometry Applications: Transformations Closed Captioned Video: Geometry Applications: Transformations

In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides. In the second example we look at translations in three-dimensional space in the context of cargo ships. In the third example, we look at the design of observatories to look at rotations, reflections, and symmetry.

 Definition of Transformations and Applications of Transformations
Closed Captioned Video: Geometry Applications: Transformations, Segment 2: 3D Translations. Closed Captioned Video: Geometry Applications: Transformations, 2 Closed Captioned Video: Geometry Applications: Transformations, Segment 2: 3D Translations.

Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations.

 Definition of Transformations and Applications of Transformations
Closed Captioned Video: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry. Closed Captioned Video: Geometry Applications: Transformations, 3 Closed Captioned Video: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry.

The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry.

 Definition of Transformations and Applications of Transformations
Closed Captioned Video: Geometry Applications: Transformations, Segment 1: Translations and Rotations. Closed Captioned Video: Geometry Applications: Transformations, 3 Closed Captioned Video: Geometry Applications: Transformations, Segment 1: Translations and Rotations.

Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced.

 Definition of Transformations and Applications of Transformations
Definition--Coordinate Systems--Cartesian Coordinate System Definition--Coordinate Systems--Cartesian Coordinate System Definition--Coordinate Systems--Cartesian Coordinate System

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Cartesian Coordinates Definition--Coordinate Systems--Cartesian Coordinates Definition--Coordinate Systems--Cartesian Coordinates

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Circular Grid Definition--Coordinate Systems--Circular Grid Definition--Coordinate Systems--Circular Grid

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Complex Coordinate System Definition--Coordinate Systems--Complex Coordinate System Definition--Coordinate Systems--Complex Coordinate System

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Coordinate Dilations Definition--Coordinate Systems--Coordinate Dilations Definition--Coordinate Systems--Coordinate Dilations

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Coordinate Transformations Definition--Coordinate Systems--Coordinate Transformations Definition--Coordinate Systems--Coordinate Transformations

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Coordinates Definition--Coordinate Systems--Coordinates Definition | Coordinate Systems | Coordinates

This is part of a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

—PRESS PREVIEW TO SEE THE DEFINITION— To see the complete collection of definitions, click on this link.

The following section includes background information on the Cartesian coordinate plane.

 Coordinate Systems
Definition--Coordinate Systems--Distance Formula Definition--Coordinate Systems--Distance Formula Definition--Coordinate Systems--Distance Formula

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Horizontal Axis Definition--Coordinate Systems--Horizontal Axis Definition--Coordinate Systems--Horizontal Axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Logarithmic Scale Definition--Coordinate Systems--Logarithmic Scale Definition--Coordinate Systems--Logarithmic Scale

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Midpoint Formula Definition--Coordinate Systems--Midpoint Formula Definition--Coordinate Systems--Midpoint Formula

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--One-Dimensional Coordinate Systems Definition--Coordinate Systems--One-Dimensional Coordinate Systems Definition--Coordinate Systems--One-Dimensional Coordinate Systems

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Ordered Pair Definition--Coordinate Systems--Ordered Pair Definition--Coordinate Systems--Ordered Pair

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Origin Definition--Coordinate Systems--Origin Definition--Coordinate Systems--Origin

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Polar Coordinate System Definition--Coordinate Systems--Polar Coordinate System Definition--Coordinate Systems--Polar Coordinate System

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Polar Coordinates Definition--Coordinate Systems--Polar Coordinates Definition--Coordinate Systems--Polar Coordinates

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Quadrants Definition--Coordinate Systems--Quadrants Definition--Coordinate Systems--Quadrants

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Radial Grid Definition--Coordinate Systems--Radial Grid Definition--Coordinate Systems--Radial Grid

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Rectangular Coordinate System Definition--Coordinate Systems--Rectangular Coordinate System Definition | Coordinate Systems | Rectangular Coordinate System

This is part of a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

—PRESS PREVIEW TO SEE THE DEFINITION— To see the complete collection of definitions, click on this link.

The following section includes background information on the Cartesian coordinate plane.

 Coordinate Systems
Definition--Coordinate Systems--Rectangular Grid Definition--Coordinate Systems--Rectangular Grid Definition--Coordinate Systems--Rectangular Grid

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Three-Dimensional Coordinate Systems Definition--Coordinate Systems--Three-Dimensional Coordinate Systems Definition--Coordinate Systems--Three-Dimensional Coordinate Systems

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Two-Dimensional Coordinate Systems Definition--Coordinate Systems--Two-Dimensional Coordinate Systems Definition--Coordinate Systems--Two-Dimensional Coordinate Systems

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Vector Definition--Coordinate Systems--Vector Definition--Coordinate Systems--Vector

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--Vertical Axis Definition--Coordinate Systems--Vertical Axis Definition--Coordinate Systems--Vertical Axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--x-axis Definition--Coordinate Systems--x-axis Definition--Coordinate Systems--x-axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--x-coordinate Definition--Coordinate Systems--x-coordinate Definition--Coordinate Systems--x-coordinate

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--x-intercept Definition--Coordinate Systems--x-intercept Definition--Coordinate Systems--x-intercept

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--y-axis Definition--Coordinate Systems--y-axis Definition--Coordinate Systems--y-axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--y-coordinate Definition--Coordinate Systems--y-coordinate Definition--Coordinate Systems--y-coordinate

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Definition--Coordinate Systems--y-intercept Definition--Coordinate Systems--y-intercept Definition--Coordinate Systems--y-intercept

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

 Coordinate Systems
Math Example--Geometric Transformation--Transformations with Coordinates--Example 1 Math Example--Geometric Transformation--Transformations with Coordinates--Example 1 Math Example--Geometric Transformation--Transformations with Coordinates--Example 1

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 10 Math Example--Geometric Transformation--Transformations with Coordinates--Example 10 Math Example--Geometric Transformation--Transformations with Coordinates--Example 10

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 11 Math Example--Geometric Transformation--Transformations with Coordinates--Example 11 Math Example--Geometric Transformation--Transformations with Coordinates--Example 11

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 2 Math Example--Geometric Transformation--Transformations with Coordinates--Example 2 Math Example--Geometric Transformation--Transformations with Coordinates--Example 2

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 3 Math Example--Geometric Transformation--Transformations with Coordinates--Example 3 Math Example--Geometric Transformation--Transformations with Coordinates--Example 3

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 4 Math Example--Geometric Transformation--Transformations with Coordinates--Example 4 Math Example--Geometric Transformation--Transformations with Coordinates--Example 4

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 5 Math Example--Geometric Transformation--Transformations with Coordinates--Example 5 Math Example--Geometric Transformation--Transformations with Coordinates--Example 5

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 6 Math Example--Geometric Transformation--Transformations with Coordinates--Example 6 Math Example--Geometric Transformation--Transformations with Coordinates--Example 6

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 7 Math Example--Geometric Transformation--Transformations with Coordinates--Example 7 Math Example--Geometric Transformation--Transformations with Coordinates--Example 7

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 8 Math Example--Geometric Transformation--Transformations with Coordinates--Example 8 Math Example--Geometric Transformation--Transformations with Coordinates--Example 8

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 9 Math Example--Geometric Transformation--Transformations with Coordinates--Example 9 Math Example--Geometric Transformation--Transformations with Coordinates--Example 9

This is part of a collection of math examples that focus on geometric transformations.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 1 Math Example--Geometric Transformation--Transformations: Example 1 Math Example--Geometric Transformation--Transformations: Example 1

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. Two "T" shapes are shown on a grid, labeled "Before" and "After". The "Before" shape on the left is translated to become the "After" shape on the right, illustrating how an object can move position without changing its size or orientation.

 Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 10 Math Example--Geometric Transformation--Transformations: Example 10 Math Example--Geometric Transformation--Transformations: Example 10

Topic

Transformations

Description

This example showcases a combination of reflection and translation in geometric transformations. Two circular "O" shapes are displayed on a grid, one labeled "Before" and the other "After". A red dashed line indicates the axis of reflection. The transformation involves first reflecting the shape across this axis and then translating it to a new position. This demonstrates how multiple transformations can be applied in sequence to create more complex movements.

 Definition of Transformations