Illustrative Math Alignment: Grade 7 Unit 7
Angles, Triangles, and Prisms
Lesson 1: Relationships of Angles
Use the following Media4Math resources with this Illustrative Math lesson.
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Video Transcript: Ratios and Proportions: Scale Drawings | Video Transcript: Ratios and Proportions: Scale Drawings
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Proportions: Scale Drawings. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Ratios and Rates |
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Video Tutorial: Desmos Geometry Exploration: Angles | Video Tutorial: Desmos Geometry Exploration: Angles
TopicGeometry DescriptionThis video explains angles and their properties using Desmos geometry tools. It defines angles as formed by two rays meeting at a vertex and measured in degrees or radians. Viewers learn to construct and measure angles, including 0°, 180°, and 360°. Key terms include vertex, rays, and sweep. Applications involve dynamic angle measurement using Desmos tools. |
Definition of an Angle |
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Video Tutorial: Desmos Geometry Exploration: Classifying Triangles by Angle | Video Tutorial: Desmos Geometry Exploration: Classifying Triangles by Angle
TopicGeometry DescriptionThe video classifies triangles by their angles, highlighting acute, right, and obtuse triangles. Using Desmos, viewers construct and manipulate triangles to understand these categories. Key terms include equiangular, isosceles, and base angles. Applications involve creating different types of triangles and analyzing their angle properties. |
Definition of a Triangle and Geometric Constructions with Triangles |
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Video Tutorial: Desmos Geometry Exploration: Classifying Triangles by Side Length | Video Tutorial: Desmos Geometry Exploration: Classifying Triangles by Side Length
TopicGeometry DescriptionTriangles are classified by side lengths: scalene (no congruent sides), isosceles (two congruent sides), and equilateral (three congruent sides). The video uses Desmos to explore these classifications. Key terms include congruent sides and scalene. Applications combine side and angle classifications for comprehensive triangle analysis. |
Geometric Constructions with Triangles |
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Video Tutorial: Desmos Geometry Exploration: Types of Angles I | Video Tutorial: Desmos Geometry Exploration: Types of Angles I
TopicGeometry DescriptionThis lesson defines angle types: acute, right, obtuse, and straight, using Desmos tools to measure and create examples. Key terms include angle measure, rays, and straight angle. Applications involve understanding angle properties and classifications for dynamic constructions. |
Definition of an Angle |
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Video Tutorial: Desmos Geometry Exploration: Types of Angles II | Video Tutorial: Desmos Geometry Exploration: Types of Angles II
TopicGeometry DescriptionAdjacent angles, complementary angles, and vertical angles are explored. Desmos tools help construct and measure these angles, illustrating concepts like angle addition and congruence. Key terms include supplementary, vertical, and adjacent angles. Applications include analyzing intersecting lines and their angle relationships. |
Definition of an Angle |
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Video Tutorial: Isosceles Triangles | Video Tutorial: Isosceles Triangles
In this video learn about the properties of isosceles triangles. The video includes real-world examples of isosceles triangles. |
Applications of Triangles |
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Video Tutorial: Ratios, Video 12 | Video Tutorial: Ratios, Video 12
TopicRatios DescriptionThe video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling. |
Ratios and Rates |
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Video Tutorial: Slope and Similar Triangles | Video Tutorial: Slope and Similar Triangles In this video explore the relationship between slope and similar triangles. |
Slope |
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VIDEO: Geometry Applications: Angles and Planes | VIDEO: Geometry Applications: Angles and Planes
TopicGeometry Basics |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Angles and Planes, 1 | VIDEO: Geometry Applications: Angles and Planes, 1
TopicGeometry Basics DescriptionThis segment introduces angles and planes through the Earth's orbital ecliptic and its 23-degree tilt. It connects these geometric principles to real-world phenomena, such as seasons and Kepler's laws, laying a foundation for subsequent discussions on angles and planes. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Angles and Planes, 2 | VIDEO: Geometry Applications: Angles and Planes, 2
TopicGeometry Basics DescriptionThis segment focuses on the strategic use of angles in Himeji Castle for defense. It explains tangent lines, line-of-sight angles, and acute angle measurements, connecting these concepts to historical architecture and modern geometry tools for analysis. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Angles and Planes, 3 | VIDEO: Geometry Applications: Angles and Planes, 3
TopicGeometry Basics DescriptionThis segment delves into parallel planes, illustrated by sedimentary rock layers in fossil analysis. It shows how these concepts are used to determine the relative age of fossils and explores how tectonic activity can alter parallel planes to create geological intersections. |
Applications of Angles and Planes |
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VIDEO: Geometry Applications: Triangles | VIDEO: Geometry Applications: Triangles
TopicTriangles |
Definition of a Triangle and Applications of Triangles |
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VIDEO: Geometry Applications: Triangles, 1 | VIDEO: Geometry Applications: Triangles, 1
TopicTriangles DescriptionThis video introduces the importance of triangles in architecture and structural design. It highlights the use of triangles in structures like the Bank of China Tower in Hong Kong, noting their ability to provide strength and stability. The video focuses on the role of triangles in reinforcing skyscrapers to withstand strong winds, especially during typhoon seasons. Key vocabulary includes architectural support, triangular base, and stability. The video sets up a foundation for exploring how triangle properties are applied in real-world contexts. |
Definition of a Triangle and Applications of Triangles |
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VIDEO: Geometry Applications: Triangles, 2 | VIDEO: Geometry Applications: Triangles, 2
TopicTriangles |
Applications of Triangles |
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VIDEO: Geometry Applications: Triangles, 3 | VIDEO: Geometry Applications: Triangles, 3
TopicTriangles |
Applications of Triangles and Definition of a Triangle |
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Worksheet: Crossword Puzzle--Triangles | Worksheet: Crossword Puzzle--Triangles
This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Definition of a Triangle |
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WORKSHEET: Word Search Puzzle--Triangles, Puzzle 1 | WORKSHEET: Word Search Puzzle--Triangles, Puzzle 1
Solve a word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle |
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WORKSHEET: Word Search Puzzle--Triangles, Puzzle 2 | WORKSHEET: Word Search Puzzle--Triangles, Puzzle 2
Solve a word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle |
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WORKSHEET: Word Search Puzzle--Triangles, Puzzle 3 | WORKSHEET: Word Search Puzzle--Triangles, Puzzle 3
Solve a word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle |
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WORKSHEET: Word Search Puzzle--Triangles, Puzzle 4 | WORKSHEET: Word Search Puzzle--Triangles, Puzzle 4
Solve a word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle |
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WORKSHEET: Word Search Puzzle--Triangles, Puzzle 5 | WORKSHEET: Word Search Puzzle--Triangles, Puzzle 5
Solve a word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle |
