Illustrative Math Alignment: Grade 8 Unit 8
Pythagorean Theorem and Irrational Numbers
Lesson 6: Finding Side Lengths of Triangles
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Solving Equations--Solving Equations Using Triangle Properties: Example 9 | Solving Equations Using Triangle Properties: Example 9TopicEquations DescriptionThis example focuses on solving equations using the properties of a kite and applying the exterior angle theorem. We are given one angle of 30° and two unknown angles, y and x. The goal is to set up and solve equations to find the values of y and x using the properties of kites and the exterior angle theorem. Key properties to consider: |
Applications of Equations and Inequalities and Applications of Triangles |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 1 | Solving Equations with Angle Measures--Example 1TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 10 | Solving Equations with Angle Measures--Example 10TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 11 | Solving Equations with Angle Measures--Example 11TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 12 | Solving Equations with Angle Measures--Example 12TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 13 | Solving Equations with Angle Measures--Example 13TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 14 | Solving Equations with Angle Measures--Example 14TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 15 | Solving Equations with Angle Measures--Example 15TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 2 | Solving Equations with Angle Measures--Example 2TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 3 | Solving Equations with Angle Measures--Example 3TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 4 | Solving Equations with Angle Measures--Example 4TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 5 | Solving Equations with Angle Measures--Example 5TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 6 | Solving Equations with Angle Measures--Example 6TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 7 | Solving Equations with Angle Measures--Example 7TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 8 | Solving Equations with Angle Measures--Example 8TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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Math Example--Solving Equations--Solving Equations with Angle Measures--Example 9 | Solving Equations with Angle Measures--Example 9TopicEquations |
Solving Multistep Equations and Applications of Angles and Planes |
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MATH EXAMPLES--Teacher's Guide: Right Triangles | MATH EXAMPLES--Teacher's Guide: Right Triangles
This set of tutorials provides 26 examples of how to find the length of a side of a triangle using given angle or side measurements. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Right Triangles |
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MATH EXAMPLES--Teacher's Guide: Triangle Area and Perimeter | MATH EXAMPLES--Teacher's Guide: Triangle Area and Perimeter
This set of tutorials provides 40 examples of how to find the area and perimeter of triangles. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Area and Perimeter of Triangles |
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MATH EXAMPLES--Teacher's Guide: Triangle Classification | MATH EXAMPLES--Teacher's Guide: Triangle Classification
This set of tutorials provides 24 examples that show how to identify different types of triangles and how to solve for x using the properties of triangles. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Definition of a Triangle |
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MATH EXAMPLES--Triangle Area and Perimeter | MATH EXAMPLES--Triangle Area and Perimeter
This set of tutorials provides 40 examples of how to find the area and perimeter of triangles. NOTE: The download is a PPT file. |
Area and Perimeter of Triangles |
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MATH EXAMPLES--Triangle Classification | MATH EXAMPLES--Triangle Classification
This set of tutorials provides 24 examples that show how to identify different types of triangles and how to solve for x using the properties of triangles. NOTE: The download is a PPT file. |
Definition of a Triangle |
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Math in the News: Issue 88--Examining the Polar Vortex | Math in the News: Issue 88--Examining the Polar Vortex
January 2014. In this issue of Math in the News we examine the Polar Vortex. We examine the physics of the cyclonic winds that make up the Polar Vortex and under what conditions the current expansion of Arctic weather affects a large part of the United States. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Circles |
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Video Transcript: Desmos Geometry Exploration: Triangle Basics | Video Transcript: Desmos Geometry Exploration: Triangle Basics
This is the transcript for the video entitled, Desmos Geometry Exploration: Triangle Basics. In this video tutorial the basics of triangles are explored. Students are then shown how to construct triangles using the Desmos geometry tools. This is part of a collection of video transcript for the video tutorial series on using the Desmos Geometry Tools. 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. |
Definition of a Triangle and Geometric Constructions with Triangles |
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Video Transcript: Geometry Applications: Polygons, Segment 1: Introduction | Video Transcript: Geometry Applications: Polygons, Segment 1: Introduction
This is the transcript for the video of same title. Video contents: The Pentagon is one of the most famous polygon-shaped buildings in the world. But why was this shape chosen over a more straightforward quadrilateral shape? We briefly explore the properties of pentagons and use this as a way of introducing the key concepts throughout the program. |
Applications of Polygons |
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Video Transcript: Geometry Applications: Polygons, Segment 2: Properties of Polygons | Video Transcript: Geometry Applications: Polygons, Segment 2: Properties of Polygons
This is the transcript for the video of same title. Video contents: In the ancient city of Marrakesh polygons are on display. As part of the Islamic tile work prevalent throughout the Middle Ages, Marrakesh provides an opportunity to explore the properties of polygons, and how these properties are taken advantage of in the intricate designs found throughout this fascinating city. |
Applications of Polygons |
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Video Transcript: Geometry Applications: Polygons, Segment 3: Composite Figures | Video Transcript: Geometry Applications: Polygons, Segment 3: Composite Figures This is the transcript for the video of same title. Video contents: The Petronas Towers in Indonesia provide an opportunity to explore the composite shapes used in the design of the towers. This is part of a collection of video transcript from the Geometry Applications video series. 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. |
Applications of Polygons |
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Video Transcript: Geometry Applications: Triangles | Video Transcript: Geometry Applications: Triangles
This is the transcript for the video of same title. Video contents: In this program we explore the properties of triangle. We do this in the context of two real-world applications. In the first, we explore the triangular trusses in the Eiffel Tower and in the process learn about key properties of triangles. In the second application, we look at right-triangle-shaped sails on sail boat and why these are the ideal shape for efficient sailing. |
Applications of Triangles |
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Video Transcript: Geometry Applications: Triangles, Segment 1: Introduction | Video Transcript: Geometry Applications: Triangles, Segment 1: Introduction
This is the transcript for the video of same title. Video contents: The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program. This is part of a collection of video transcript from the Geometry Applications video series. 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. |
Applications of Triangles |
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Video Transcript: Geometry Applications: Triangles, Segment 2: Triangles | Video Transcript: Geometry Applications: Triangles, Segment 2: Triangles
This is the transcript for the video of same title. Video contents: 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. |
Applications of Triangles |
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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 Transcript: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle | Video Transcript: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Circumscribing a Circle about a Triangle. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. 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. |
Geometric Constructions with Triangles |
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Video Transcript: TI-Nspire Mini-Tutorial: Constructing the Circumcenter of a Triangle | Video Transcript: TI-Nspire Mini-Tutorial: Constructing the Circumcenter of a Triangle
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Constructing the Circumcenter of a Triangle. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. 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. |
Geometric Constructions with Triangles |
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Video Transcript: TI-Nspire Mini-Tutorial: Constructing the Orthocenter of a Triangle | Video Transcript: TI-Nspire Mini-Tutorial: Constructing the Orthocenter of a Triangle
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Constructing the Orthocenter of a Triangle. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. 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. |
Geometric Constructions with Triangles |
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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: Triangle Basics | Video Tutorial: Desmos Geometry Exploration: Triangle Basics
TopicGeometry DescriptionTriangles are defined as three-sided closed figures with internal angles summing to 180°. The video demonstrates creating triangles with Desmos tools and exploring their properties. Key terms include vertices, line segments, and angles. Applications include constructing and measuring triangles to verify their angle sums. |
Definition of a Triangle and Geometric Constructions with 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: 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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VIDEO: Ti-Nspire Mini-Tutorial, Video 38 | VIDEO: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle
In this TI Nspire tutorial, the Geometry window is used to circumscribe a circle about a triangle. This video supports the TI-Nspire Clickpad and Touchpad. |
Geometric Constructions with Triangles |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 51 | VIDEO: TI-Nspire Mini-Tutorial: Constructing the Circumcenter of a Triangle
In this TI Nspire tutorial, the Geometry window is used to construct a triangle and its circumcenter. This video supports the TI-Nspire Clickpad and Touchpad. |
Geometric Constructions with Triangles |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 52 | VIDEO: TI-Nspire Mini-Tutorial: Constructing the Orthocenter of a Triangle
In this TI Nspire tutorial the Geometry window is used to construct the orthocenter of a triangle. This video supports the TI-Nspire Clickpad and Touchpad. |
Geometric Constructions with Triangles |
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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: Identifying Shapes, Worksheet 1 | Worksheet: Identifying Shapes, Worksheet 1
This is part of a collection of math worksheets on the topic of geometric shapes. 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 Circle, Definition of a Polygon and Definition of a Triangle |
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Worksheet: Identifying Shapes, Worksheet 2 | Worksheet: Identifying Shapes, Worksheet 2
This is part of a collection of math worksheets on the topic of geometric shapes. 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 Circle, Definition of a Polygon and Definition of a Triangle |
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Worksheet: Identifying Shapes, Worksheet 3 | Worksheet: Identifying Shapes, Worksheet 3
This is part of a collection of math worksheets on the topic of geometric shapes. 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 Circle, Definition of a Polygon and Definition of a Triangle |
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Worksheet: Identifying Shapes, Worksheet 4 | Worksheet: Identifying Shapes, Worksheet 4
This is part of a collection of math worksheets on the topic of geometric shapes. 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 Circle, Definition of a Polygon and Definition of a Triangle |
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Worksheet: Using the Distance Formula to Calculate Triangular Area, Worksheet 01 | Worksheet: Using the Distance Formula to Calculate Triangular Area, Worksheet 01
This is part of a collection of math worksheets on the topic of using the distance formula to calculate length, area, or perimeter. 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. |
Distance Formula and The Distance Formula |
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Worksheet: Using the Distance Formula to Calculate Triangular Area, Worksheet 02 | Worksheet: Using the Distance Formula to Calculate Triangular Area, Worksheet 02
This is part of a collection of math worksheets on the topic of using the distance formula to calculate length, area, or perimeter. 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. |
Distance Formula and The Distance Formula |
