Illustrative Math-Media4Math Alignment

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 1: Moving in the Plane

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image	Title	Body	Curriculum Topic
	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
	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
	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, 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, 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
	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: Triangles, 2	Closed Captioned Video: Geometry Applications: Triangles, Segment 2: Triangles The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.	Definition of a Triangle and Applications of Triangles
	Closed Captioned Video: Geometry Applications: Triangles, 2	Closed Captioned Video: Geometry Applications: Triangles, Segment 2: Triangles The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.	Definition of a Triangle and Applications of Triangles
	Closed Captioned Video: Geometry Applications: Triangles, 2	Closed Captioned Video: Geometry Applications: Triangles, Segment 2: Triangles The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed.	Definition of a Triangle and Applications of Triangles
	Definition--Geometry Basics--Congruence	Congruence Topic Geometry Basics Definition Congruence refers to figures or shapes that have the same size and shape. Description Congruence is a fundamental concept in geometry, indicating that two figures are identical in form and dimensions. This concept is essential for understanding geometric transformations and proving the properties of shapes. For instance, two triangles are congruent if their corresponding sides and angles are equal. Congruence is used in various real-world applications, such as engineering and architecture, to ensure precision and accuracy in design and construction.	Definition of Transformations
	Definition--Geometry Basics--Congruence	Congruence Topic Geometry Basics Definition Congruence refers to figures or shapes that have the same size and shape. Description Congruence is a fundamental concept in geometry, indicating that two figures are identical in form and dimensions. This concept is essential for understanding geometric transformations and proving the properties of shapes. For instance, two triangles are congruent if their corresponding sides and angles are equal. Congruence is used in various real-world applications, such as engineering and architecture, to ensure precision and accuracy in design and construction.	Definition of Transformations
	Definition--Geometry Basics--Congruence	Congruence Topic Geometry Basics Definition Congruence refers to figures or shapes that have the same size and shape. Description Congruence is a fundamental concept in geometry, indicating that two figures are identical in form and dimensions. This concept is essential for understanding geometric transformations and proving the properties of shapes. For instance, two triangles are congruent if their corresponding sides and angles are equal. Congruence is used in various real-world applications, such as engineering and architecture, to ensure precision and accuracy in design and construction.	Definition of Transformations
	Definition--Geometry Basics--Similarity	Similarity Topic Geometry Basics Definition Similarity refers to figures that have the same shape but not necessarily the same size. Description Similarity is a key concept in geometry, used to compare shapes and solve problems involving proportions. For example, two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional. Understanding similarity helps in solving problems related to scaling, resizing, and geometric transformations. This concept is widely used in fields such as art, design, and architecture to create proportional and aesthetically pleasing structures.	Proportions
	Definition--Geometry Basics--Similarity	Similarity Topic Geometry Basics Definition Similarity refers to figures that have the same shape but not necessarily the same size. Description Similarity is a key concept in geometry, used to compare shapes and solve problems involving proportions. For example, two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional. Understanding similarity helps in solving problems related to scaling, resizing, and geometric transformations. This concept is widely used in fields such as art, design, and architecture to create proportional and aesthetically pleasing structures.	Proportions
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--AAS Theorem	Definition--Theorems and Postulates--AAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--ASA Theorem	Definition--Theorems and Postulates--ASA Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of an Angle
	Definition--Theorems and Postulates--HL Theorem	Definition--Theorems and Postulates--HL Theorem This is part of a collection of definitions of geometric theorems and postulates.	Right Triangles
	Definition--Theorems and Postulates--SAS Similarity Theorem	Definition--Theorems and Postulates--SAS Similarity Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Similarity Theorem	Definition--Theorems and Postulates--SAS Similarity Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Similarity Theorem	Definition--Theorems and Postulates--SAS Similarity Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Similarity Theorem	Definition--Theorems and Postulates--SAS Similarity Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Similarity Theorem	Definition--Theorems and Postulates--SAS Similarity Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Similarity Theorem	Definition--Theorems and Postulates--SAS Similarity Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SAS Theorem	Definition--Theorems and Postulates--SAS Theorem This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Definition--Theorems and Postulates--SSS Postulate	Definition--Theorems and Postulates--SSS Postulate This is part of a collection of definitions of geometric theorems and postulates.	Definition of a Triangle
	Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 1	Math Example--Geometric Shapes--Analyzing Congruent Shapes--Example 1 Topic Geometric Shapes Description Determine if two triangles, ABC and DEF, are congruent. Triangle ABC has sides 5, 4, and 6, while triangle DEF also has sides 5, 4, and 6. The SSS Postulate ensures that these triangles are congruent. Congruence of shapes is fundamental in geometry as it allows us to establish relationships between figures and understand properties of transformations. This example collection illustrates congruence by analyzing side lengths and angles to determine equivalence.	Definition of a Triangle