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 Examples Collection: Transformations	Overview The Transformations collection on Media4Math offers a comprehensive set of 56 math examples, providing educators with a rich resource for teaching geometric transformations. This collection covers a wide range of skills and concepts related to transformations, including translations, reflections, rotations, and dilations.	Definition of Transformations
$Math Clip Art$	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 Video Collection: Geometry Applications Video Series: Transformations	Overview This collection aggregates all the math videos and resources in this series: Geometry Applications Video Series: Transformations. There are a total of 12 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Applications of Transformations and Definition of Transformations
	Math Clip Art Collection: Geometry Basics: Angles	Overview This collection of math clip art from Media4Math focuses on Geometry Basics: Angles, providing a comprehensive visual resource for introducing and teaching fundamental angle concepts. The sequence of images covers essential skills such as identifying and classifying different types of angles (acute, right, obtuse, straight), measuring angles, and understanding angle relationships.	Definition of an Angle
	Math Clip Art Collection: Geometry Basics: Categorizing Angles	Overview This collection of math clip art on Geometry Basics: Categorizing Angles provides a visually engaging way to introduce and reinforce fundamental angle concepts. The sequence of images progresses logically through different angle types, including acute, right, obtuse, and straight angles. Each angle is clearly illustrated with colorful graphics and labeled appropriately, helping students visualize and distinguish between the various categories.	Definition of an Angle
	Math Clip Art Collection: Geometry Basics: Other Types of Angles	Overview This collection aggregates all the math clip art around the topic of Other Types of Angles. 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.	Definition of an Angle
	Math Definitions Collection: Angles	Overview The collection of definitions on angles from Media4Math offers a comprehensive resource for students and educators to deepen their understanding of geometric concepts. This collection includes key terms such as "acute angle," "obtuse angle," "right angle," and "straight angle," each explained through engaging graphics. These definition cards serve as an invaluable tool in classroom presentations, providing visual experiences that can enhance student comprehension and retention of geometric principles.	Definition of an Angle
	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
	Closed Captioned Video: Geometry Applications: Transformations	Closed Captioned Video: Geometry Applications: Transformations Topic Transformations	Definition of Transformations and Applications of Transformations
	Closed Captioned Video: Geometry Applications: Transformations, 1	Closed Captioned Video: Geometry Applications: Transformations, 1 Topic Transformations Description Explores translations and rotations in motion, using roller coasters as an example. Key concepts include displacement vectors, magnitude, and direction, modeled geometrically and computationally for practical applications in physics and engineering. In this video, you will explore the fascinating applications of transformations in real-world scenarios. These mathematical concepts are central to understanding geometric principles and their practical applications in various fields.	Definition of Transformations and Applications of Transformations
	Closed Captioned Video: Geometry Applications: Transformations, 2	Closed Captioned Video: Geometry Applications: Transformations, 2 Topic Transformations Description This segment applies 3D translations to logistics, focusing on container arrangement in shipping. Using coordinate systems, it demonstrates efficiency in loading/unloading cargo, leveraging geometric organization and data sorting methods for real-world impact. In this video, you will explore the fascinating applications of transformations in real-world scenarios. These mathematical concepts are central to understanding geometric principles and their practical applications in various fields.	Definition of Transformations and Applications of Transformations
	Closed Captioned Video: Geometry Applications: Transformations, 3	Closed Captioned Video: Geometry Applications: Transformations, 3 Topic Transformations Description Analyzes observatory designs and their use of rotational and reflective symmetry for astronomical viewing. The segment models celestial movements and applies rotational geometry concepts to optimize the structure’s functionality. In this video, you will explore the fascinating applications of transformations in real-world scenarios. These mathematical concepts are central to understanding geometric principles and their practical applications in various fields.	Definition of Transformations and Applications of Transformations
	Definition--Angle Concepts--Acute Angle	Acute Angle Topic Angles Definition An acute angle is an angle that measures less than 90 degrees.	Definition of an Angle
	Definition--Angle Concepts--Adjacent Angles	Adjacent Angles Topic Angles Definition Adjacent angles are two angles that share a common vertex and side, but do not overlap.	Definition of an Angle
	Definition--Angle Concepts--Alternate Exterior Angles	Alternate Exterior Angles Topic Angles Definition Alternate exterior angles are pairs of angles formed when a transversal crosses two parallel lines, and they lie on opposite sides of the transversal and outside the parallel lines.	Definition of an Angle
	Definition--Angle Concepts--Alternate Interior Angles	Alternate Interior Angles Topic Angles Definition Alternate interior angles are pairs of angles formed when a transversal crosses two parallel lines, and they lie on opposite sides of the transversal and inside the parallel lines.	Definition of an Angle
	Definition--Angle Concepts--Angle	Angle Topic Angles Definition An angle is formed by two rays with a common endpoint, known as the vertex. Description Angles are a fundamental concept in geometry, forming the basis for understanding shapes and their properties. They are used in a wide range of applications, from measuring land and constructing buildings to designing machinery and creating art. Angles are measured in degrees or radians, and their understanding is essential for solving problems involving triangles, circles, and other geometric figures. In education, angles are introduced early in the curriculum to develop spatial awareness and geometric reasoning, providing a foundation for more advanced mathematical concepts.	Definition of an Angle
	Definition--Angle Concepts--Angle Bisector	Angle Bisector Topic Angles Definition An angle bisector is a line or ray that divides an angle into two equal parts. Description Angle bisectors are used in various geometric constructions and proofs, such as constructing the incenter of a triangle, which is the point where the angle bisectors of a triangle intersect. In practical applications, angle bisectors are used in design and architecture to create symmetrical and balanced structures. For students, learning about angle bisectors enhances their understanding of geometric constructions and the properties of angles, contributing to their overall mathematical proficiency.	Definition of an Angle
	Definition--Angle Concepts--Angle Measure	Angle Measure Topic Angles Definition Angle measure refers to the size of an angle, typically expressed in degrees or radians. Description Understanding angle measurement is crucial for solving geometric problems and for applications in trigonometry, physics, and engineering. Accurate angle measurement is essential in fields such as surveying, navigation, and construction, where precise calculations are necessary for successful outcomes. In education, mastering angle measurement is a key component of the geometry curriculum, helping students develop skills in spatial reasoning and problem-solving.	Definition of an Angle
	Definition--Angle Concepts--Angle Vertex	Angle Vertex Topic Angles Definition The vertex of an angle is the common endpoint of the two rays that form the angle.	Definition of an Angle
	Definition--Angle Concepts--Central Angle	Central Angle Topic Angles Definition A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. Description Central angles are important in the study of circles and are used to define arcs and sectors. They are commonly used in problems involving circular motion and in the design of circular objects, such as wheels and gears. In mathematics education, understanding central angles helps students grasp the properties of circles and their applications, forming a basis for more advanced studies in trigonometry and calculus.	Definition of an Angle
	Definition--Angle Concepts--Circumscribed Angle	Circumscribed Angle Topic Angles Definition A circumscribed angle is an angle formed outside a circle by two intersecting lines, each tangent to the circle. Description Circumscribed angles are used in geometry to study the properties of tangents and their relationships with circles. They are important in problems involving circle theorems and are applied in fields such as architecture and design, where circular shapes are common. For students, learning about circumscribed angles enhances their understanding of circle geometry and the relationships between angles and arcs, contributing to their overall mathematical knowledge.	Definition of an Angle
	Definition--Angle Concepts--Complementary Angle	Complementary Angle Topic Angles Definition Complementary angles are two angles whose measures add up to 90 degrees.	Definition of an Angle
	Definition--Angle Concepts--Congruent Angles	Congruent Angles Topic Angles Definition Congruent angles are angles that have the same measure. Description Congruent angles are a key concept in geometry, often used in proving the similarity and congruence of geometric figures. They are essential in understanding the properties of polygons, where congruent angles indicate symmetry and balance. In real-world applications, congruent angles are used in design and engineering to ensure that components are identical and fit together seamlessly. For students, learning about congruent angles enhances their understanding of geometric relationships and proofs, contributing to their overall mathematical proficiency.	Definition of an Angle
	Definition--Angle Concepts--Corresponding Angles	Corresponding Angles Topic Angles Definition Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.	Definition of an Angle
	Definition--Angle Concepts--Exterior Angle	Exterior Angle Topic Angles Definition An exterior angle is an angle formed outside a polygon by extending one of its sides.	Definition of an Angle
	Definition--Angle Concepts--Inscribed Angle	Inscribed Angle Topic Angles Definition An inscribed angle is an angle formed by two chords in a circle that have a common endpoint. Description Inscribed angles are important in the study of circles, where they are used to define arcs and sectors. They are commonly used in problems involving circle theorems and in the design of circular objects, such as wheels and gears. In mathematics education, understanding inscribed angles helps students grasp the properties of circles and their applications, forming a basis for more advanced studies in trigonometry and calculus.	Definition of an Angle
	Definition--Angle Concepts--Obtuse Angle	Obtuse Angle Topic Angles Definition An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.	Definition of an Angle
	Definition--Angle Concepts--Opposite Interior Angles	Opposite Interior Angles Topic Angles Definition Opposite interior angles are pairs of angles opposite the exterior angle of a triangle. In the case of parallel lines cut by a transversal, they are congruent.	Definition of an Angle
	Definition--Angle Concepts--Reflex Angle	Reflex Angle Topic Angles Definition A reflex angle is an angle that measures more than 180 degrees but less than 360 degrees. Description Reflex angles are often encountered in the study of rotations and circular motion, where they are used to describe angles that extend beyond a straight line. They are important in fields such as physics and engineering, where understanding rotations and angular measurements is crucial. In mathematics education, reflex angles help students develop a comprehensive understanding of angle measurement and classification, contributing to their overall geometric reasoning and problem-solving abilities.	Definition of an Angle
	Definition--Angle Concepts--Right Angle	Right Angle Topic Angles Definition A right angle is an angle that measures exactly 90 degrees. Description Right angles are fundamental in geometry and are often used as a reference for measuring other angles. They are commonly found in various geometric shapes and real-world structures, such as squares, rectangles, and buildings. In real-world applications, right angles are essential in construction and design, where they ensure that elements are perpendicular and aligned correctly. In education, understanding right angles is crucial for learning about perpendicularity and the properties of geometric figures, forming a basis for more advanced mathematical concepts.	Definition of an Angle
	Definition--Angle Concepts--Straight Angle	Straight Angle Topic Angles Definition A straight angle is an angle that measures exactly 180 degrees. Description Straight angles are used to describe angles that form a straight line, often encountered in the study of linear relationships and transformations. They are important in fields such as physics and engineering, where understanding linear motion and alignment is crucial. In mathematics education, straight angles help students develop a comprehensive understanding of angle measurement and classification, contributing to their overall geometric reasoning and problem-solving abilities.	Definition of an Angle
	Definition--Angle Concepts--Supplementary Angles	Supplementary Angles Topic Angles Definition Supplementary angles are two angles whose measures add up to 180 degrees.	Definition of an Angle
	Definition--Angle Concepts--Vertical Angles	Vertical Angles Topic Angles Definition Vertical angles are pairs of opposite angles formed by two intersecting lines, and they are equal in measure.	Definition of an Angle
	Definition--Geometry Basics--Adjacent Angle	Adjacent Angle Topic Geometry Basics Definition Angles that share a common side and a common vertex. Description Adjacent angles are two angles that have a common side and a common vertex. They are important in geometry because they help in understanding the properties of shapes and the relationships between angles. For example, in a quadrilateral, any of the diagonals create pairs of adajent angles. This concept is essential in solving problems related to angle measures and properties of polygons.	Definition of an Angle
$Math Clip Art--Adjacent Angles--Labeled$	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
$Math Clip Art--Angle Bisector--Labeled$	Math Clip Art--Angle Illustrations--Angle Bisector--Labeled	Math Clip Art--Angle Illustrations--Angle Bisector--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
$Math Clip Art--Angle Bisector--Unlabeled$	Math Clip Art--Angle Illustrations--Angle Bisector--Unlabeled	Math Clip Art--Angle Illustrations--Angle Bisector--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
$Math Clip Art--Angle--Labeled$	Math Clip Art--Angle Illustrations--Angle--Labeled	Math Clip Art--Angle Illustrations--Angle--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
$Math Clip Art--Angle--Unlabeled$	Math Clip Art--Angle Illustrations--Angle--Unlabeled	Math Clip Art--Angle Illustrations--Angle--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--Complementary Angles--Labeled	Math Clip Art--Angle Illustrations--Complementary 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--Complementary Angles--Unlabeled	Math Clip Art--Angle Illustrations--Complementary 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--Exterior Angle of a Triangle--Labeled	Math Clip Art--Angle Illustrations--Exterior Angle of a Triangle--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--Exterior Angle of a Triangle--Unlabeled	Math Clip Art--Angle Illustrations--Exterior Angle of a Triangle--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--Obtuse Angle--Labeled	Math Clip Art--Angle Illustrations--Obtuse Angle--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--Obtuse Angle--Unlabeled	Math Clip Art--Angle Illustrations--Obtuse Angle--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--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