Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 2: Naming the Moves

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Clip Art--Geometry Basics--Angles, Image 01 Math Clip Art--Geometry Basics--Angles 01 Math Clip Art--Geometry Basics--Angles 01

Topic

Geometry Basics

Description

This image is part of a series dedicated to teaching angles and their properties in geometry. This is the title card that can be used with this series of images.

Using math clip art like this in teaching is crucial for making abstract mathematical concepts more tangible and relatable. These images can be easily incorporated into geometry lessons, especially during the holiday season when engaging students creatively is essential. Teachers can use this visual aid to introduce angle terminology, discuss angle measurement, and relate angles to real-world objects or situations.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 02 Math Clip Art--Geometry Basics--Angles 02 Math Clip Art--Geometry Basics--Angles 02

Topic

Geometry Basics

Description

This image illustrates three coplanar points A, B, and C used to define an angle. Coplanar points are points that lie on the same plane. This fundamental concept is crucial in geometry for constructing and understanding angles.

Using math clip art like this helps students visualize abstract geometric concepts. Teachers can use this image to introduce the idea of coplanar points and how they relate to angle formation. It serves as a foundation for more complex angle concepts.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 03 Math Clip Art--Geometry Basics--Angles 03 Math Clip Art--Geometry Basics--Angles 03

Topic

Geometry Basics

Description

This image shows Angle ABC from the previous illustration, now with rays extending from point B through points A and C. This visual representation helps students understand how an angle is formed by two rays sharing a common endpoint (vertex).

Using math clip art like this is essential in geometry education, especially during holiday seasons when engaging visuals can enhance learning experiences. The clear depiction of rays forming an angle reinforces the fundamental concept of angle construction.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 04 Math Clip Art--Geometry Basics--Angles 04 Math Clip Art--Geometry Basics--Angles 04

Topic

Geometry Basics

Description

This image shows Angle ABC labeled using geometric notation. The proper labeling of angles is a crucial skill in geometry, allowing for clear communication and precise mathematical descriptions.

Incorporating such math clip art into geometry lessons is invaluable, particularly during holiday seasons when maintaining student engagement is crucial. This visual aids in teaching students how to correctly identify and label angles in various geometric figures.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 05 Math Clip Art--Geometry Basics--Angles 05 Math Clip Art--Geometry Basics--Angles 05

Topic

Geometry Basics

Description

This image shows Angle ABC with the caption, "Angles are measured in degrees or in radians." This fundamental concept introduces students to the standard unit of angle measurement and lays the groundwork for understanding angle size and comparison.

Using math clip art like this helps reinforce key geometric principles. Teachers can use this image to initiate discussions about angle measurement, the concept of degrees, and how they relate to fractions of a full rotation.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 06 Math Clip Art--Geometry Basics--Angles 06 Math Clip Art--Geometry Basics--Angles 06

Topic

Geometry Basics

Description

This image shows Angle ABC with the caption: "Degrees range from 0° to 360°. Radians range from 0 to 2π" This concept helps students understand the full spectrum of angle measurements and how they relate to complete rotations.

Incorporating such math clip art into geometry lessons is crucial, especially during holiday seasons when engaging visuals can enhance learning experiences. This image provides a clear reference for the range of possible angle measurements.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 07 Math Clip Art--Geometry Basics--Angles 07 Math Clip Art--Geometry Basics--Angles 07

Topic

Geometry Basics

Description

This image provides examples of angles including acute, right, and obtuse angles. It offers a clear visual representation of these three fundamental angle types, helping students understand the classification of angles based on their measures.

Using math clip art like this is essential in geometry education, as it allows students to visually compare and contrast different angle types. Teachers can use this image to introduce the concepts of acute, right, and obtuse angles, and discuss their properties and real-world applications.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 08 Math Clip Art--Geometry Basics--Angles 08 Math Clip Art--Geometry Basics--Angles 08

Topic

Geometry Basics

Description

This image shows a real world example of an angle: The angle formed by the roof of a house. This practical application helps students connect abstract geometric concepts to everyday structures and architectural design.

Using math clip art like this is crucial in geometry education, especially during holiday seasons when engaging visuals can enhance learning experiences. It demonstrates how angles are not just mathematical constructs but are present in the buildings we see and use daily.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 09 Math Clip Art--Geometry Basics--Angles 09 Math Clip Art--Geometry Basics--Angles 09

Topic

Geometry Basics

Description

This image presents a real world example of an angle: The right angle formed by a house relative to the ground. This practical illustration helps students recognize right angles in their environment and understand their significance in architecture and construction.

Incorporating such math clip art into geometry lessons is invaluable, particularly during holiday seasons when maintaining student engagement is crucial. It bridges the gap between theoretical geometry and practical applications in building design.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 10 Math Clip Art--Geometry Basics--Angles 10 Math Clip Art--Geometry Basics--Angles 10

Topic

Geometry Basics

Description

This image showcases a real world example of angles: The angles in an octagon-shaped Stop sign. This practical application demonstrates how geometric principles are applied in everyday objects, particularly in road signage and traffic control.

Using math clip art like this is essential in geometry education, as it helps students recognize the prevalence of geometric shapes and angles in their surroundings. Teachers can use this image to discuss the properties of triangles, angle sum theorem, and the importance of shapes in conveying information quickly and effectively in traffic situations.

Definition of an Angle
Math Clip Art--Geometry Basics--Angles, Image 11 Math Clip Art--Geometry Basics--Angles 11 Math Clip Art--Geometry Basics--Angles 11

Topic

Geometry Basics

Description

This image showcases a real world example of angles: The angles in a triangle-shaped Yield Sign. This practical application demonstrates how geometric principles are applied in everyday objects, particularly in road signage and traffic control.

Using math clip art like this is essential in geometry education, as it helps students recognize the prevalence of geometric shapes and angles in their surroundings. Teachers can use this image to discuss the properties of triangles, angle sum theorem, and the importance of shapes in conveying information quickly and effectively in traffic situations.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 01 Math Clip Art--Geometry Basics--Categorizing Angles 01 Math Clip Art--Geometry Basics--Categorizing Angles 01

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series focusing on categorizing angles in geometry. It serves as a title card, introducing the concept of "Categorizing Angles" to students. The image likely features bold text or an eye-catching design to capture students' attention and set the stage for the lesson.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 02 Math Clip Art--Geometry Basics--Categorizing Angles 02 Math Clip Art--Geometry Basics--Categorizing Angles 02

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series on categorizing angles in geometry. It illustrates an angle with the caption "Angle measures range from 0° to 180°." The image shows an angle.

Incorporating such math clip art into geometry lessons is invaluable. It provides a clear, visual representation of abstract concepts, making them more tangible for students. This particular image helps students understand the fundamental range of angle measurements, setting a foundation for further categorization.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 03 Math Clip Art--Geometry Basics--Categorizing Angles 03 Math Clip Art--Geometry Basics--Categorizing Angles 03

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series on categorizing angles in geometry. It features an angle with the caption "Angles are categorized based on their angle measure." The image shows an angle.

Using such math clip art in geometry lessons helps students visualize abstract concepts. This particular image introduces the idea that angles can be grouped based on their measurements, laying the groundwork for understanding acute, right, and obtuse angles. By incorporating these visuals, teachers can make lessons more engaging and help students grasp complex ideas more easily.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 04 Math Clip Art--Geometry Basics--Categorizing Angles 04 Math Clip Art--Geometry Basics--Categorizing Angles 04

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series about categorizing angles in geometry. It illustrates an acute angle, which is defined as an angle measuring less than 90 degrees. The image shows an acute angle along with the caption "Acute angles are angles that measure less than 90°."

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 05 Math Clip Art--Geometry Basics--Categorizing Angles 05 Math Clip Art--Geometry Basics--Categorizing Angles 05

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series focusing on categorizing angles in geometry. It showcases a right angle, which is a fundamental concept in geometry. The image provides a clear visual representation of a 90-degree angle, emphasizing that right angles are exactly 90 degrees.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 06 Math Clip Art--Geometry Basics--Categorizing Angles 06 Math Clip Art--Geometry Basics--Categorizing Angles 06

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series on categorizing angles in geometry. It illustrates an obtuse angle, which is an angle measuring more than 90 degrees but less than 180 degrees. The image provides a clear visual representation of an obtuse angle, highlighting that these angles are always greater than a right angle but less than a straight line.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 07 Math Clip Art--Geometry Basics--Categorizing Angles 07 Math Clip Art--Geometry Basics--Categorizing Angles 07

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series about categorizing angles in geometry. It showcases a straight angle, which is a fundamental concept in geometry. The image depicts a 180-degree angle forming a straight line, emphasizing that a straight angle is exactly 180 degrees.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 08 Math Clip Art--Geometry Basics--Categorizing Angles 08 Math Clip Art--Geometry Basics--Categorizing Angles 08

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series about categorizing angles in geometry, focusing on real-world applications. It includes a Yield sign as an example of acute angles in everyday life. 

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 09 Math Clip Art--Geometry Basics--Categorizing Angles 09 Math Clip Art--Geometry Basics--Categorizing Angles 09

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series about categorizing angles in geometry, emphasizing real-world applications. It showcases a railroad crossing sign as an example of right angles in everyday life. The image encourages students to keep an eye on right angles, connecting the mathematical concept to a practical scenario involving road safety.

Definition of an Angle
Math Clip Art--Geometry Basics--Categorizing Angles, Image 10 Math Clip Art--Geometry Basics--Categorizing Angles 10 Math Clip Art--Geometry Basics--Categorizing Angles 10

Geometry Basics

Geometry Basics

Description

This clip art image is part of a series about categorizing angles in geometry, highlighting real-world applications. It features a Stop sign as an example of obtuse angles in everyday life. The image encourages students to stop and think about obtuse angles, cleverly linking the mathematical concept to a familiar road sign.

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 01 Math Clip Art--Geometry Basics--Other Types of Angles 01 Math Clip Art--Geometry Basics--Other Types of Angles 01

Geometry Basics

Geometry Basics

Description

This image is part of a series that focuses on angles in mathematics. A title card with the title "Other Types of Angles." This image provides a visual representation that enhances the understanding of geometric concepts. Using math clip art is instrumental in making geometry lessons more interactive. These images not only clarify concepts but also engage students in learning. Incorporating these visuals into lessons allows teachers to foster a deeper comprehension of angles and their relationships. 

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 02 Math Clip Art--Geometry Basics--Other Types of Angles 02 Math Clip Art--Geometry Basics--Other Types of Angles 02

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 03 Math Clip Art--Geometry Basics--Other Types of Angles 03 Math Clip Art--Geometry Basics--Other Types of Angles 03

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 04 Math Clip Art--Geometry Basics--Other Types of Angles 04 Math Clip Art--Geometry Basics--Other Types of Angles 04

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 05 Math Clip Art--Geometry Basics--Other Types of Angles 05 Math Clip Art--Geometry Basics--Other Types of Angles 05

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 06 Math Clip Art--Geometry Basics--Other Types of Angles 06 Math Clip Art--Geometry Basics--Other Types of Angles 06

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 07 Math Clip Art--Geometry Basics--Other Types of Angles 07 Math Clip Art--Geometry Basics--Other Types of Angles 07

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 08 Math Clip Art--Geometry Basics--Other Types of Angles 08 Math Clip Art--Geometry Basics--Other Types of Angles 08

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 09 Math Clip Art--Geometry Basics--Other Types of Angles 09 Math Clip Art--Geometry Basics--Other Types of Angles 09

Geometry Basics

Geometry Basics

Definition of an Angle
Math Clip Art--Geometry Basics--Other Types of Angles, Image 10 Math Clip Art--Geometry Basics--Other Types of Angles 10 Math Clip Art--Geometry Basics--Other Types of Angles 10

Geometry Basics

Geometry Basics

Definition of an Angle
Math Example--Geometric Transformation--Transformations with Coordinates--Example 1 Math Example--Geometric Transformation--Transformations with Coordinates--Example 1 Math Example--Geometric Transformation--Transformations with Coordinates--Example 1

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 10 Math Example--Geometric Transformation--Transformations with Coordinates--Example 10 Math Example--Geometric Transformation--Transformations with Coordinates--Example 10

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 11 Math Example--Geometric Transformation--Transformations with Coordinates--Example 11 Math Example--Geometric Transformation--Transformations with Coordinates--Example 11

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 2 Math Example--Geometric Transformation--Transformations with Coordinates--Example 2 Math Example--Geometric Transformation--Transformations with Coordinates--Example 2

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 3 Math Example--Geometric Transformation--Transformations with Coordinates--Example 3 Math Example--Geometric Transformation--Transformations with Coordinates--Example 3

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 4 Math Example--Geometric Transformation--Transformations with Coordinates--Example 4 Math Example--Geometric Transformation--Transformations with Coordinates--Example 4

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 5 Math Example--Geometric Transformation--Transformations with Coordinates--Example 5 Math Example--Geometric Transformation--Transformations with Coordinates--Example 5

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 6 Math Example--Geometric Transformation--Transformations with Coordinates--Example 6 Math Example--Geometric Transformation--Transformations with Coordinates--Example 6

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 7 Math Example--Geometric Transformation--Transformations with Coordinates--Example 7 Math Example--Geometric Transformation--Transformations with Coordinates--Example 7

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 8 Math Example--Geometric Transformation--Transformations with Coordinates--Example 8 Math Example--Geometric Transformation--Transformations with Coordinates--Example 8

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations with Coordinates--Example 9 Math Example--Geometric Transformation--Transformations with Coordinates--Example 9 Math Example--Geometric Transformation--Transformations with Coordinates--Example 9

This is part of a collection of math examples that focus on geometric transformations.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 1 Math Example--Geometric Transformation--Transformations: Example 1 Math Example--Geometric Transformation--Transformations: Example 1

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. Two "T" shapes are shown on a grid, labeled "Before" and "After". The "Before" shape on the left is translated to become the "After" shape on the right, illustrating how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 10 Math Example--Geometric Transformation--Transformations: Example 10 Math Example--Geometric Transformation--Transformations: Example 10

Topic

Transformations

Description

This example showcases a combination of reflection and translation in geometric transformations. Two circular "O" shapes are displayed on a grid, one labeled "Before" and the other "After". A red dashed line indicates the axis of reflection. The transformation involves first reflecting the shape across this axis and then translating it to a new position. This demonstrates how multiple transformations can be applied in sequence to create more complex movements.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 11 Math Example--Geometric Transformation--Transformations: Example 11 Math Example--Geometric Transformation--Transformations: Example 11

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. Two circular "O" shapes are shown on a grid, one labeled "Before" and the other "After". The shape undergoes a rotation around a point indicated by a pushpin, which serves as the axis of rotation. This illustrates how an object can change its orientation without altering its size or position relative to the rotation point.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 12 Math Example--Geometric Transformation--Transformations: Example 12 Math Example--Geometric Transformation--Transformations: Example 12

Topic

Transformations

Description

This example illustrates a combination of rotation and reflection in geometric transformations. Two circular "O" shapes are displayed on a grid, one labeled "Before" and the other "After". The transformation involves two steps: first, a rotation around a point indicated by a pushpin, which serves as the axis of rotation, followed by a reflection across a red dashed line representing the axis of reflection. This demonstrates how multiple transformations can be applied sequentially to create more complex changes in orientation and position.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 13 Math Example--Geometric Transformation--Transformations: Example 13 Math Example--Geometric Transformation--Transformations: Example 13

Topic

Transformations

Description

This example demonstrates a single reflection in geometric transformations. Two grids are shown with the letter "O" before and after a transformation. The "Before" grid has the "O" on the left side, while the "After" grid has it on the right side. A red dashed line indicates the axis of reflection in the middle of the two "O"s. Below, there is a diagram showing the reflection transformation along this axis, illustrating how the shape is flipped across the line while maintaining its size and shape.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 14 Math Example--Geometric Transformation--Transformations: Example 14 Math Example--Geometric Transformation--Transformations: Example 14

Topic

Transformations

Description

This example illustrates a complex combination of transformations: translation, rotation, and reflection. Two grids are shown with an "O" shape before and after transformations. The "Before" grid has an "O" with a red dot at its center, while the "After" grid shows the same "O" but rotated and reflected. Below, a step-by-step diagram illustrates three sequential transformations: first, a translation moves the shape, then a rotation turns it around a pushpin (indicating the axis of rotation), and finally, a reflection flips it across a red dashed line.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 15 Math Example--Geometric Transformation--Transformations: Example 15 Math Example--Geometric Transformation--Transformations: Example 15

Topic

Transformations

Description

This example demonstrates a simple translation in geometric transformations. Two grids are displayed with the letter "F" before and after a transformation. The "Before" grid shows an "F" on the left side, and the "After" grid shows it on the right side. Below, there is an arrow indicating that only a translation occurred between the two positions of the letter, showcasing how an object can move position without changing its size or orientation.

Definition of Transformations
Math Example--Geometric Transformation--Transformations: Example 16 Math Example--Geometric Transformation--Transformations: Example 16 Math Example--Geometric Transformation--Transformations: Example 16

Topic

Transformations

Description

This example demonstrates a combination of translation and rotation in geometric transformations. Two grids are shown with the letter "F" before and after transformations. The "Before" grid has an upright "F", while the "After" grid shows it rotated 90 degrees clockwise. Below, there is a diagram illustrating two steps: first, a translation moves the shape, then a rotation turns it around a pushpin axis.

Definition of Transformations