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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 16: Parallel Lines and the Angles in a Triangle

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Examples Math Examples Collection: Right Triangles

Overview

This collection aggregates all the math examples around the topic of Right Triangles. There are a total of 26 Math Examples. This collection of resources is made up of downloadable JPG images that you can easily incorporate into your lesson plans.

 

 Right Triangles
Math Clip Art Math Clip Art Collection: Angles

Overview

This collection aggregates all the math clip art around the topic of Angles. There are a total of 22 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

 Angles and Applications of Angles and Planes
Math Clip Art Math Clip Art Collection: Parallel Lines Cut by a Transversal

Overview

This collection of math clip art focuses on the geometric concept of parallel lines cut by a transversal. The sequence of images provides a visual representation of this important topic, making it an excellent resource for introducing and teaching the subject to students. The clip art illustrates key concepts such as corresponding angles, alternate interior angles, alternate exterior angles, and same-side interior angles.

 Parallel Lines
Math Clip Art Math Clip Art Collection: Points, Lines, Segments, and Rays

Overview

This collection aggregates all the math clip art around the topic of Points, Lines, Segments, and Rays. There are a total of 18 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

To download the full set of these resources, click on this link.

 

 Applications of Points and Lines, Parallel Lines, Perpendicular Lines, Applications of Coordinate Geometry and Coordinate Systems
Math Examples Math Examples Collection: Equations with Angles from Parallel Lines Cut by a Transversal

Overview

This collection aggregates all the math examples around the topic of Equations with Angles from Parallel Lines Cut by a Transversal. There are a total of 10 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 Parallel Lines, Applications of Angles and Planes and Applications of Equations and Inequalities
Test Prep Test Prep Interactive Quizzes

Addition Facts to 10, Addition Facts to 25, Addition Facts to 100, Place Value, Subtraction Facts to 100, Definition of an Angle, Solving One-Step Equations, Graphs of Linear Functions, Slope, Slope-Intercept Form and Counting
Theorems Collection Math Definitions Collection: Geometry Theorems and Postulates

Overview

This collection aggregates all the definition image cards around the topic of Theorems and Postulates terms and vocabulary. There are a total of 18 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 

 

 Definition of a Triangle, Definition of an Angle, Right Triangles and Definition of a Line
Math Examples Math Examples Collection: Equations Using the Exterior Angle Theorem

Overview

This collection aggregates all the math examples around the topic of Equations Using the Exterior Angle Theorem. There are a total of 10 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.

 

To learn more about Media4Math's Math Examples, click on this video link.

 

 Applications of Triangles
Google Earth Google Earth Voyager Collection

Overview

The Google Earth Voyager Story Collection offers an engaging set of lessons focused on geometric models, leveraging the immersive capabilities of Google Earth. This collection enables students to explore a variety of geometric concepts through real-world applications, enhancing their understanding of geometry, architecture, and culture. Each lesson is designed to develop geometric skills such as understanding shapes, symmetry, scale, and spatial reasoning.

 Perpendicular Lines, Parallel Lines, Applications of Points and Lines, Applications of Circles, Cylinders, Applications of Angles and Planes, Applications of Polygons, Pyramids, Triangular Prisms, Rectangular Prisms, 3-Dimensional Figures, Applications of Surface Area and Volume, Rational Functions and Equations, Surface Area, Volume, Applications of Triangles and Applications of Quadrilaterals
Animated Math Clip Art Animated Math Clip Art Collection: Parallel Lines

Overview

The collection of animated math clip art on the topic of "Parallel Lines Cut by a Transversal" from Media4Math includes a variety of resources designed to enhance the teaching and understanding of this geometric concept. This collection features a total of 8 animated images that visually demonstrate the relationships between angles formed when parallel lines are intersected by a transversal.

 Parallel Lines
Parallel Lines Interactive Media Collection: Parallel Lines

Overview

This collection aggregates all the math videos and other resources on the topic of Parallel Lines. There are 13 resources. 

 

 Point-Slope Form, Slope-Intercept Form, Parallel Lines, Slope, Definition of a Quadrilateral and Perpendicular Lines
Math Examples Math Examples Collection: Equations with Angle Measures

Overview

This collection of examples focuses on Solving Equations Using Angle Measures and Properties, offering a comprehensive set of problems that progressively increase in complexity. The examples cover a range of skills, including applying angle relationships, using geometric properties, and solving multi-step equations.

 Solving Multistep Equations, Applications of Angles and Planes, Applications of Quadrilaterals, Applications of Equations and Inequalities and Definition of an Angle
Animated Math Clip Art Animated Math Clip Art--3D Geometry--Rotating a Triangle to Form a Cone Rotating a Triangle to Form a Cone

Topic

3D Geometry

Description

This animation shows how rotating a triangle around one of its sides creates a cone. It's a powerful visualization of how 2D shapes can generate 3D objects through rotation.

Animated math clip art like this is crucial for teaching as it helps students visualize the formation of cones. Teachers can use this to introduce concepts of volume and surface area of cones, as well as topics in calculus related to solids of revolution.

 Cones
Animated Math Clip Art--Parallel Lines Cut by a Transversal 1 Animated Math Clip Art--Parallel Lines Cut by a Transversal 1 Animated Math Clip Art--Parallel Lines Cut by a Transversal 1

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 2 Animated Math Clip Art--Parallel Lines Cut by a Transversal 2 Animated Math Clip Art--Parallel Lines Cut by a Transversal 2

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating alternate interior angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 3 Animated Math Clip Art--Parallel Lines Cut by a Transversal 3 Animated Math Clip Art--Parallel Lines Cut by a Transversal 3

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating alternate exterior angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 4 Animated Math Clip Art--Parallel Lines Cut by a Transversal 4 Animated Math Clip Art--Parallel Lines Cut by a Transversal 4

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating corresponding angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 5 Animated Math Clip Art--Parallel Lines Cut by a Transversal 5 Animated Math Clip Art--Parallel Lines Cut by a Transversal 5

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating vertical angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 6 Animated Math Clip Art--Parallel Lines Cut by a Transversal 6 Animated Math Clip Art--Parallel Lines Cut by a Transversal 6

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating pairs of supplementary angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 7 Animated Math Clip Art--Parallel Lines Cut by a Transversal 7 Animated Math Clip Art--Parallel Lines Cut by a Transversal 7

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating same side interior angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Animated Math Clip Art--Parallel Lines Cut by a Transversal 8 Animated Math Clip Art--Parallel Lines Cut by a Transversal 8 Animated Math Clip Art--Parallel Lines Cut by a Transversal 8

Topic

Parallel Lines

Description

This animated clip shows how a transversal intersects parallel lines, creating same side exterior angles that illustrate the properties of parallel lines in geometry.

In a classroom setting, utilizing this image can significantly enhance students’ understanding of parallel lines. The dynamic nature of animated clip art captures attention and can provide visual demonstrations that static images cannot.

 Parallel Lines
Closed Captioned Video: TI-Nspire Mini-Tutorial: Constructing the Circumcenter of a Triangle Closed Captioned Video: Circumcenter of a Triangle Closed Captioned Video: 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. This Mini-Tutorial Video includes a worksheet. .

 Geometric Constructions with Triangles
Closed Captioned Video: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle Closed Captioned Video: Circumscribing a Circle-Triangle Closed Captioned Video: Circumscribing a Circle-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. This Mini-Tutorial Video includes a worksheet. .

 Geometric Constructions with Triangles
Closed Captioned Video: Geometry Applications: Triangles Closed Captioned Video: Geometry Applications: Triangles Closed Captioned Video: Geometry Applications: Triangles

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.

 Definition of a Triangle and Applications of Triangles
Closed Captioned Video: Geometry Applications: Triangles, Segment 1: Introduction Closed Captioned Video: Geometry Applications: Triangles, 1 Closed Captioned Video: Geometry Applications: Triangles, Segment 1: Introduction

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.

 Definition of a Triangle and Applications of Triangles
Closed Captioned Video: Geometry Applications: Triangles, Segment 2: 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, Segment 3: Right Triangles Closed Captioned Video: Geometry Applications: Triangles, 3 Closed Captioned Video: Geometry Applications: Triangles, Segment 3: Right Triangles

The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. The use of right-triangle-shaped sails changed the nature of sailing. Becoming less reliant on oarsmen and being able to sail under nearly any wind conditions, the sailboat made the conquest of the seas possible. We explore the properties of right triangles that make such sails ideal.

 Definition of a Triangle and Applications of Triangles
Closed Captioned Video: TI-Nspire Mini-Tutorial: Constructing the Orthocenter of a Triangle Closed Captioned Video: Orthocenter of a Triangle Closed Captioned Video: 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. This Mini-Tutorial Video includes a worksheet. .

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link. 		Geometric Constructions with Triangles
Collections in a Box Collections in a Box: Parallel and Perpendicular Lines

This cheat sheet gathers together the resources on the topic of parallel and perpendicular lines. See the descriptions and links below. Each link takes you to a collection of resources around that topic. The middle column indicates the number of resources available and the third column takes you to page on Media4Math where those resources can be found.

Subscribers can download the PDF version of this cheat sheet.

Click Preview to see the HTML version. 		Geometric Constructions with Points and Lines, Parallel Lines and Perpendicular Lines
Definition--Geometry Basics--Perpendicular Bisector Definition--Geometry Basics--Perpendicular Bisector Perpendicular Bisector

Topic

Geometry Basics

Definition

A line that divides a segment into two equal parts at a 90-degree angle.

Description

A perpendicular bisector is a line that divides a line segment into two equal parts at a right angle (90 degrees). This concept is essential in geometry for constructing and analyzing geometric shapes. For example, the perpendicular bisectors of the sides of a triangle intersect at the circumcenter, which is equidistant from all vertices of the triangle. Understanding perpendicular bisectors is crucial for solving problems related to symmetry and geometric constructions.

 Definition of a Line
Definition--Theorems and Postulates--Converse of the Pythagorean Theorem Definition--Theorems and Postulates--Converse of the Pythagorean Theorem Definition--Theorems and Postulates--Converse of the Pythagorean Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Right Triangles
Definition--Theorems and Postulates--Exterior Angle Theorem Definition--Theorems and Postulates--Exterior Angle Theorem Definition--Theorems and Postulates--Exterior Angle Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of a Triangle
Definition--Theorems and Postulates--Perpendicular Bisector Theorem Definition--Theorems and Postulates--Perpendicular Bisector Theorem Definition--Theorems and Postulates--Perpendicular Bisector Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Definition of a Line
Definition--Theorems and Postulates--Pythagorean Theorem Definition--Theorems and Postulates--Pythagorean Theorem Definition--Theorems and Postulates--Pythagorean Theorem

This is part of a collection of definitions of geometric theorems and postulates.

 Right Triangles
Google Earth Video Geometry Applications, Triangles, Segment 1, Introduction VIDEO: Geometry Applications: Triangles, Segment 1: Introduction

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.

 Applications of Triangles and Definition of a Triangle
Google Earth Voyager Story: The Geometry of City Planning, Part 1 Google Earth Voyager Story: The Geometry of City Planning, Part 1 Google Earth Voyager Story: The Geometry of City Planning, Part 1

Topic

Geometric Models

 Perpendicular Lines and Parallel Lines
Google Earth Voyager Story: The Geometry of City Planning, Part 2 Google Earth Voyager Story: The Geometry of City Planning, Part 2 Google Earth Voyager Story: The Geometry of City Planning, Part 2

Topic

Geometric Models

 Perpendicular Lines, Parallel Lines and Applications of Points and Lines
INSTRUCTIONAL RESOURCE: Math Examples--Quadrilateral Classification INSTRUCTIONAL RESOURCE: Math Examples 43 INSTRUCTIONAL RESOURCE: Math Examples--Quadrilateral Classification

This set of tutorials provides 34 examples of the types of quadrilaterals and how to classify quadrilaterals based on the sides and angles.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

 Definition of a Quadrilateral
INSTRUCTIONAL RESOURCE: Math Examples--Right Triangles INSTRUCTIONAL RESOURCE: Math Examples 46 INSTRUCTIONAL RESOURCE: Math Examples--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 math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

 Right Triangles
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle

In this Slide Show, we show how to construct an isosceles triangle. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

 Definition of a Triangle and Geometric Constructions with Triangles
INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle

In this Slide Show, learn how to use the TI-Nspire App to construct an isosceles triangle. Note: The download is a PPT file.

 Definition of a Triangle and Geometric Constructions with Triangles
Interactive Crossword Puzzle--Triangles Interactive Crossword Puzzle--Triangles Interactive Crossword Puzzle--Triangles

This interactive crossword puzzle tests knowledge of key terms 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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Interactive Math Game, Math Riddles--Triangles Interactive Math Game: Math Riddles--Triangles Interactive Math Game: Math Riddles--Triangles

In this Math Riddles Game, have your students review vocabulary around the topic of triangles. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking.

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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Interactive Word Search Puzzle--Triangles, Puzzle 1 Interactive Word Search Puzzle--Triangles, Puzzle 1 Interactive Word Search Puzzle--Triangles, Puzzle 1

Solve an interactive 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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Interactive Word Search Puzzle--Triangles, Puzzle 2 Interactive Word Search Puzzle--Triangles, Puzzle 2 Interactive Word Search Puzzle--Triangles, Puzzle 2

Solve an interactive 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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Interactive Word Search Puzzle--Triangles, Puzzle 3 Interactive Word Search Puzzle--Triangles, Puzzle 3 Interactive Word Search Puzzle--Triangles, Puzzle 3

Solve an interactive 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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Interactive Word Search Puzzle--Triangles, Puzzle 4 Interactive Word Search Puzzle--Triangles, Puzzle 4 Interactive Word Search Puzzle--Triangles, Puzzle 4

Solve an interactive 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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Interactive Word Search Puzzle--Triangles, Puzzle 5 Interactive Word Search Puzzle--Triangles, Puzzle 5 Interactive Word Search Puzzle--Triangles, Puzzle 5

Solve an interactive 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 the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab. 		Definition of a Triangle
Math Clip Art--Adjacent Angles--Labeled Math Clip Art--Angle Illustrations--Adjacent Angles--Labeled Math Clip Art--Angle Illustrations--Adjacent Angles--Labeled

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

 Angles and Applications of Angles and Planes
Math Clip Art--Adjacent Angles--Unlabeled Math Clip Art--Angle Illustrations--Adjacent Angles--Unlabeled Math Clip Art--Angle Illustrations--Adjacent Angles--Unlabeled

This is part of a collection of clip art images showing different types of angles. Each type of angle measure includes a labeled and unlabeled version.

 Angles and Applications of Angles and Planes