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Interactive
Physics Aviary

Physics Aviary: Reflecting Waves

For Students 9th - 10th
This lab is designed to help students visualize the progress of a wave down a string and the way the wave pulse reflects from different boundaries.
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Interactive
National Council of Teachers of Mathematics

Nctm: Slam Ball

For Students 6th - 8th
[Free Registration/Login Required] Angles and symmetry are reviewed in this learning game. Students try to identify high-scoring paths by slamming the ball off the sides of the game board and send it on a path that collects the most tokens.
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Unit Plan
Khan Academy

Khan Academy: Reflecting Points in the Coordinate Plane

For Students 5th - 7th
Practice reflecting points across axes on the xy coordinate plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Reflect Points

For Students 6th - 8th Standards
In this exercise, students practice performing reflections on a coordinate plane. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
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Unit Plan
E-learning for Kids

E Learning for Kids: Science: Loch Ness: What Happens to Light When It Is Reflected?

For Students 4th - 6th
Ian and his family are on holiday near Loch Ness. Find out about the Loch Ness monster, and learn about light and reflection.
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Unit Plan
Mathigon

Mathigon: Geometry: Rigid Transformations

For Students 9th - 10th Standards
This lesson focuses on rigid transformations, a specific set of rules that convert one geometric figure into another one. There are many different types of transformations, like reflections or rotations. It provides several practice...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Seven Circles Ii

For Teachers 9th - 10th Standards
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions

For Teachers 9th - 10th Standards
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Fixed Points of Rigid Motions

For Teachers 9th - 10th Standards
A rigid motion of the plane is a map of the plane to itself which preserves distances between points. The purpose of this task is to use fixed points as a tool for studying and classifying rigid motions of the plane, i.e., translations,...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Defining Reflections

For Teachers 9th - 10th Standards
The goal of this task is to compare and contrast the visual intuition we have of reflections with their technical mathematical definition. Aligns with G-CO.A.4.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Hexagons

For Teachers 9th - 10th Standards
This task applies reflections to a regular hexagon to construct a pattern of six hexagons enclosing a seventh. The focus of the task is on using the properties of reflections to deduce this seven-hexagon pattern. Aligns with G-CO.B.6.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Octagons

For Teachers 9th - 10th Standards
This task applies reflections to a regular octagon to construct a pattern of four octagons enclosing a quadrilateral. The focus of the task is on using the properties of reflections to deduce that the quadrilateral is actually a square....
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Origami Equilateral Triangle

For Teachers 9th - 10th Standards
The purpose of this task is to explore reflections in the context of paper folding. Each fold is associated with a line of reflection and understanding each step in the construction requires careful analysis of angles and of the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Properties of Trigonometric Functions

For Teachers 9th - 10th Standards
The goal of this task is to use the unit circle and rigid transformations in order to establish some fundamental trigonometric function identities. Aligns with F-TF.A.2 and F-TF.A.4.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Reflecting a Rectangle Over a Diagonal

For Teachers 8th Standards
In this task, 8th graders are presented with several rectangles that have diagonal lines through them and are placed on grids. They are asked to draw reflections and to discuss rectangles that are squares. Aligns with 8.G.A.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Congruent Segments

For Teachers 8th Standards
Eighth graders are shown two line segments that are the same length and must describe a sequence of reflections that exhibits a congruence between them. Aligns with 8.G.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Triangle Congruence With Coordinates

For Teachers 8th Standards
For this task, 8th graders explore congruence and transformations of two triangles on a coordinate grid. Aligns with 8.G.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Congruent Triangles

For Teachers 8th Standards
In this task, 8th graders investigate congruence and transformations of two triangles on a coordinate grid. Includes a GeoGebra worksheet that the teacher can use for demonstration purposes. Aligns with 8.G.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: g.co Reflections and Equilateral Triangles Ii

For Teachers 9th - 10th
This task examines some of the properties of reflections of the plane which preserve an equilateral triangle. The task gives students a chance to see the impact of these reflections on an explicit object and to see that the reflections...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of Rectangles

For Teachers 9th - 10th Standards
This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations. Aligns with G-CO.A.3.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Why Does Sas Work?

For Teachers 9th - 10th Standards
In this task, students must explain the given reasoning for why triangle ABC is congruent to triangle DEF using the language of reflections. Aligns with G-CO.B.8.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Reflected Triangles

For Teachers 9th - 10th Standards
In this task, students must use a straightedge and compass to construct the line across which one triangle was reflected onto another. Aligns with G-CO.A.5 and G-CO.D.12.
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Unit Plan
Other

Gcse.com: Physics: Reflection

For Students 9th - 10th
Informational site provides illustrated tutorial of light reflection. Also discusses the law of reflection.
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Lesson Plan
Better Lesson

Better Lesson: Mira Mira the Amazing Mira

For Teachers 4th
Using a mira, 4th graders draw symmetrical pictures and then explain how the mira works using what they know about reflection and the eye.