Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Math Video Collection: Geometry Applications Video Series: Transformations |
OverviewThis 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.
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Applications of Transformations and Definition of Transformations | |
Math Examples Collection: Transformations |
OverviewThis collection aggregates all the math examples around the topic of Transformations. There are a total of 56 Math Examples. This collection of resources is made up of downloadable JPG images that you can easily incorporate into your lesson plans.
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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 | CongruenceTopicGeometry Basics DefinitionCongruence refers to figures or shapes that have the same size and shape. DescriptionCongruence 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 | CongruenceTopicGeometry Basics DefinitionCongruence refers to figures or shapes that have the same size and shape. DescriptionCongruence 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 | CongruenceTopicGeometry Basics DefinitionCongruence refers to figures or shapes that have the same size and shape. DescriptionCongruence 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 | SimilarityTopicGeometry Basics DefinitionSimilarity refers to figures that have the same shape but not necessarily the same size. DescriptionSimilarity 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 | SimilarityTopicGeometry Basics DefinitionSimilarity refers to figures that have the same shape but not necessarily the same size. DescriptionSimilarity 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
This is part of a collection of math examples that focus on geometric shapes. |
Definition of a Triangle |