Illustrative Math Alignment: Grade 8 Unit 2

Dilations, Similarity, and Introducing Slope

Lesson 13: The Shadow Knows

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image	Title	Body	Curriculum Topic
	Math Examples Collection: Analyzing Similar Shapes	Overview The Analyzing Similar Shapes collection on Media4Math offers a rich set of examples designed to deepen students' understanding of geometric similarity. This collection provides a progression of problems, starting with basic concepts and increasing in complexity to challenge students with diverse skills. Key topics include proportional reasoning, identifying scale factors, and using geometric transformations.	Definition of a Triangle
	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
$Math Clip Art$	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 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 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 Clip Art Collection: Similarity Transformations	Overview This collection aggregates all the math clip art around the topic of Similarity Transformations. There are a total of 11 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.	Proportions
	Math Clip Art Collection: Triangles	Overview This collection aggregates all the math clip art around the topic of Triangles. There are a total of 14 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 Coordinate Geometry, Applications of Triangles, Definition of a Triangle and Right Triangles
	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 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
	Math Definitions Collection: Geometry	Overview The Geometry Basics collection from Media4Math is an essential resource for educators looking to enhance their students' understanding of fundamental geometric concepts. This comprehensive set includes 58 terms, each presented as a downloadable PNG image card that can be seamlessly integrated into classroom presentations.	Definition of an Angle, Geometric Constructions with Points and Lines, 3-Dimensional Figures, Exploring Coordinate Systems, Definition of a Triangle, Definition of a Point, Definition of a Circle, Definition of Transformations, The Distance Formula, Definition of a Polygon, Definition of a Plane, Definition of a Line, Midpoint Formula, Applications of Polygons, Area and Perimeter of Triangles, Area and Perimeter of Quadrilaterals, Pyramids, Trig Expressions and Identities, Right Triangles, Definition of a Quadrilateral, Applications of Points and Lines and Proportions
	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 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 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 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
	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 Clip Art Collection: Geometry Concepts	Overview This collection of math clip art on Geometry Concepts contains over 100 resources that provide a visual and interactive way to teach geometric concepts. Math clip art is an invaluable tool for teachers, as it allows them to create visually appealing and informative materials that capture students' attention and reinforce key concepts. This collection is particularly useful for elementary math instruction, offering a wide range of ten frame models that can be easily incorporated into lessons, worksheets, and pres	Surface Area, Applications of Transformations, Definition of a Circle, Applications of Polygons, Modeling Shapes, 3-Dimensional Figures, Applications of 3D Geometry, Exploring Coordinate Systems, Coordinate Systems, Applications of Coordinate Geometry, Applications of Points and Lines, Definition of a Quadrilateral, Applications of Triangles, Numerical Expressions, Geometric Constructions with Angles and Planes, Geometric Constructions with Points and Lines, Length, Definition of a Polygon, Definition of a Triangle, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions, Parallel Lines, Perpendicular Lines, Identifying Shapes, Proportions, Applications of Quadrilaterals and Geometric Constructions with Polygons
	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 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 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 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 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 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 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 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: Geometry Applications: Points and Lines	Closed Captioned Video: Geometry Applications: Points and Lines In this program we explore the properties of points and lines. We do this in the context of two real-world applications. In the first, we go to CERN and learn about the Large Hadron Collidor. We look at how points can represent particle positions in space and look at properties of points and lines. In the second application we investigate the properties of lines in the context of city grids.	Applications of Points and Lines, Definition of a Line and Definition of a Point
	Closed Captioned Video: Geometry Applications: Points and Lines, 1	Closed Captioned Video: Geometry Applications: Points and Lines, Segment 1: Introduction Our understanding of geometry owes much to the ancient Greeks. We visit the ancient Acropolis and explore some of its geometric secrets.	Applications of Points and Lines, Definition of a Line and Definition of a Point
	Closed Captioned Video: Geometry Applications: Points and Lines, 2	Closed Captioned Video: Geometry Applications: Points and Lines, Segment 2: Points Geometric objects are abstractions that seem to have a connection to real world objects. In the case of a geometric point, we visit the CERN particle accelerator in Switzerland, where the smallest known subatomic particles are produced, to see how subatomic particles compare to geometric points. A mathematical analysis reveals the nature of geometric points and point-like materials objects.	Applications of Points and Lines
	Closed Captioned Video: Geometry Applications: Points and Lines, 3	Closed Captioned Video: Geometry Applications: Points and Lines, Segment 3: Lines Many cities are laid out in a rectangular grid and are examples of intersecting lines and rays. We visit the city of Houston to investigate the geometric nature of the city grid in its downtown area. We explore properties of intersecting and parallel lines and why this is the most efficient way to organize a city or community.	Applications of Points and Lines, Definition of a Line and Definition of a Point
	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--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--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--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
	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 Topic Geometric Models	Perpendicular Lines, Parallel Lines and Applications of Points and Lines
	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
$Math Clip Art--Adjacent Angles--Labeled$	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
	Math Clip Art--Angle Illustrations--Supplementary Angles--Labeled	Math Clip Art--Angle Illustrations--Supplementary 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--Angle Illustrations--Supplementary Angles--Unlabeled	Math Clip Art--Angle Illustrations--Supplementary 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
	Math Clip Art--Angle Illustrations--Vertical Angles--Labeled	Math Clip Art--Angle Illustrations--Vertical 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--Angle Illustrations--Vertical Angles--Unlabeled	Math Clip Art--Angle Illustrations--Vertical 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
	Math Clip Art--Geometry Concepts--Similarity with Transformations--01	Math Clip Art--Similarity with Transformations--01 Topic Geometry Concepts Description This image depicts a square undergoing a dilation transformation. Dilation changes the size of a figure while maintaining its shape, resulting in a similar figure. The scale factor of the dilation determines whether the square is enlarged or reduced. In this transformation, all sides of the square are scaled by the same factor, and all angles remain congruent to the original. This preserves the square's shape while changing its size, demonstrating the concept of similarity in geometry.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--02	Math Clip Art--Similarity with Transformations--02 Topic Geometry Concepts Description This image shows a square undergoing a combination of dilation and translation. The dilation changes the size of the square while maintaining its shape, and the translation moves the dilated square to a new position without changing its size or orientation. This composite transformation demonstrates how multiple transformations can be applied sequentially. The resulting figure is similar to the original square but different in size and position.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--03	Math Clip Art--Similarity with Transformations--03 Topic Geometry Concepts Description This image illustrates a rectangle undergoing a combination of dilation, translation, and rotation. The dilation changes the size of the rectangle, the translation moves it to a new position, and the rotation changes its orientation. This complex transformation demonstrates how multiple transformations can be combined to create a figure that is similar to the original but different in size, position, and orientation. The resulting figure maintains the proportions of the original rectangle.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--04	Math Clip Art--Similarity with Transformations--04 Topic Geometry Concepts Description This image shows a rectangle undergoing a combination of dilation and rotation. The dilation changes the size of the rectangle while maintaining its proportions, and the rotation changes its orientation. This transformation demonstrates how a figure can be both resized and reoriented while maintaining its shape. The resulting figure is similar to the original rectangle but different in size and orientation.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--05	Math Clip Art--Similarity with Transformations--05 Topic Geometry Concepts Description This image depicts a triangle undergoing a rotation transformation. The rotation changes the orientation of the triangle without altering its size or shape. This transformation demonstrates how a figure can be moved around a fixed point (the center of rotation) while maintaining its congruence to the original shape. The resulting triangle is identical to the original in all aspects except its orientation.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--06	Math Clip Art--Similarity with Transformations--06 Topic Geometry Concepts Description This image shows a triangle undergoing a translation transformation. The translation moves the triangle to a new position without changing its size, shape, or orientation. This transformation demonstrates how a figure can be moved in a straight line without any other changes. The resulting triangle is congruent to the original and maintains all its properties, only differing in its position.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--07	Math Clip Art--Similarity with Transformations--07 Topic Geometry Concepts Description This image illustrates a triangle undergoing a combination of translation and rotation. The translation moves the triangle to a new position, and the rotation changes its orientation. This composite transformation demonstrates how multiple transformations can be applied sequentially. The resulting triangle is congruent to the original but different in both position and orientation.	Proportions
	Math Clip Art--Geometry Concepts--Similarity with Transformations--08	Math Clip Art--Similarity with Transformations--08 Topic Geometry Concepts Description This image shows a triangle undergoing a combination of dilation and translation performed twice. The dilation changes the size of the triangle while maintaining its shape, and the translations move it to new positions. This complex transformation demonstrates how multiple transformations can be applied repeatedly. The resulting triangles are similar to the original but differ in size and position.	Proportions