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Lesson Plan
EngageNY

Dilations as Transformations of the Plane

For Teachers 9th - 10th Standards
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...
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Lesson Plan
EngageNY

Similarity

For Teachers 8th Standards
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists between two...
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Lesson Plan
Curated OER

Why Does SAS Work?

For Teachers 9th - 10th Standards
Your geometry learners are guided by questions that help them use the language of reflections to explain the Side-Angle-Side congruence between two triangles in this collaborative task. Given a sample solution, declaring the triangles...
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Lesson Plan
EngageNY

What Are Similarity Transformations, and Why Do We Need Them?

For Students 9th - 10th Standards
It's time for your young artists to shine! Learners examine images to determine possible similarity transformations. They then provide a sequence of transformations that map one image to the next, or give an explanation why it is not...
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Lesson Plan
EngageNY

Correspondence and Transformations

For Teachers 9th - 10th Standards
Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...
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Lesson Plan
EngageNY

Characterize Points on a Perpendicular Bisector

For Students 9th - 10th Standards
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the center of...
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Worksheet
Curated OER

Angles Activities

For Students 5th - 8th
A series of geometry worksheets have mathematicians constructing, dissecting, overlapping, and measuring as they analyze angles in various contexts. Learners use symmetry and reflections in a compass rose to write instructions on...
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Lesson Plan
EngageNY

Are All Parabolas Congruent?

For Students 10th - 12th Standards
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 
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Worksheet
Curated OER

Transforming Congruent Figures: Pretest

For Students 7th - 9th
Use this geometry instructional activity to have learners answer ten multiple choice questions based on their knowledge of transforming congruent figures.
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Lesson Plan
Curated OER

Point Reflection

For Teachers 7th - 9th Standards
Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000. 
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Lesson Plan
Curated OER

Symmetries of a Quadrilateral II

For Teachers 9th - 10th Standards
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
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Lesson Plan
Curated OER

Escher-Esque Tessellations

For Teachers 8th - 11th
Middle and high schoolers participate in a seven-part lesson creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research, and...
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Worksheet
Curated OER

Reflections [5]

For Students 6th
In this reflection instructional activity, 6th graders complete a total of 6 problems, following directions to "reflect across the given axis or equation.
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Lesson Plan
Curated OER

Geometry and Spatial Reasoning 2

For Teachers 3rd - 4th
In this math worksheet, pupils use pictures of hands, bears, and cartoon characters to review geometrical terms including reflections and rotations.
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Lesson Plan
Curated OER

Geometry in Art

For Teachers 4th - 6th
Students recognize and measure geometric shapes within abstract art. They examine quilts for shapes and they each make their own quilt from squares using geometry and measurement.
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Worksheet
Curated OER

Motions In Geometry

For Students 8th - 10th
In this motions in geometry worksheet, students draw translations, rotations, and reflections. This three-page worksheet contains examples, instructions, and 6 problems. The last page contains answers.
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Lesson Plan
Curated OER

Flips, Sides and Turns: Exploring Transformations

For Teachers 4th - 5th
Students use an online dictionaries to define key geometric terms. They explore several websites to help them differentiate the terms reflections, translations and rotations as they apply to geometry and then complete an assessment...
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Lesson Plan
Curated OER

Archeologist Frieze Patterns

For Teachers 6th - 12th Standards
Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.
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Lesson Plan
EngageNY

Definition of Translation and Three Basic Properties

For Students 8th Standards
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
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Worksheet
Curated OER

Similarity: Instructional

For Students 7th - 8th
In this similarity worksheet, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then, students...
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Interactive
CK-12 Foundation

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
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Lesson Plan
Curated OER

Mirror Symmetry/Mirror Images

For Teachers 5th - 6th
Students explore lines of symmetry in geometric shapes. In this geometry lesson plan, students construct angles using mirrors and rubberbands, then predict the number of images that will appear in the reflection. Students reproduce lines...
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Lesson Plan
Curated OER

Congruent Rectangles

For Teachers 7th - 9th Standards
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.