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Worksheet
Curated OER

Transformations on the Coordinate Plane

For Students 7th - 10th Standards
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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Lesson Plan
Curated OER

Spiral Symmetry

For Teachers 9th - 10th
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
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Lesson Plan
Curated OER

Transformations-Shapes on the Move

For Teachers 3rd - 8th
Learners examine transformations. For this math lesson, students view and describe flips, slides, and turns. Learners practice making transformations with shapes.
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Lesson Plan
Curated OER

Terrific Tessellations

For Teachers 4th - 6th
Students explore tessellations that are found in nature and everyday objects. They observe the works of M.C. Escher. Students create their own tessellations using pencil and paper.
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Worksheet
Curated OER

Effect of Transformations on Coordinates

For Students 9th - 10th
In this effect of transformations on coordinates worksheet, learners determine the coordinates of 4 geometric shapes on a grid after a given transformation.
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Lesson Plan
Curated OER

Reflections

For Teachers 9th - 10th
Students investigate image and pre-image. In this geometry lesson, students identify the reflection and rotation of different shape on a coordinate plane. They identify similarities and differences of image and pre-image of a reflection.
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Lesson Plan
Curated OER

The Spin Doctor Is In

For Teachers 9th - 12th
Students are introduced to rotational inertia with some example of objects that rotates: Throw a Frisbee acroos the field and it rotates as it moves. The same is true for a baseball and a football. The two motions, translational and...
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Lesson Plan
Curated OER

Tantalizing Tangrams: What Are Transformations?

For Teachers 4th - 6th
Students use the Internet to learn about transformations and tessellations.  In this geometry lesson, students use the Internet to define the meaning of reflections, translations, rotations, glide reflection and symmetry.  Students...
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Lesson Plan
Curated OER

Finding the Area of a Parallelogram with Translations

For Teachers 8th - 10th
Students calculate the area of parallelograms. In this geometry instructional activity, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.
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Worksheet
Curated OER

Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
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Worksheet
Curated OER

Tessellations & Transformations

For Students 10th
In this tessellations and transformations worksheet, 10th graders solve 9 different problems that include various types of tessellations. First, they write examples from history of tessellations and name 3 artists. Then, students define...
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Worksheet
Curated OER

Rotational Dynamics

For Students Higher Ed
In this pulley worksheet, students calculate the acceleration, tension, and speed for given parts of a problem with an object and pulley system. This worksheet has 3 problems to solve.
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Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
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Assessment
Charleston School District

Review Unit 2: Congruence and Similarity

For Students 8th Standards
Review for the test with a comprehensive list of terms and concepts for the unit on congruence and similarity. It divides divides the sections in the order of the lessons presented during the unit. 
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Lesson Plan
EngageNY

Similarity

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

Congruence Through Transformations

For Teachers 9th - 12th Standards
Transform your lesson on transformations. Learners use given congruent triangles and tracing paper to determine the single transformation that carries one to the other. The concept is extended to combinations of transformations to...
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Workbook
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University of Utah

Geometry: Transformations, Congruence, and Similarity

For Students 8th Standards
Rigid motions are to congruence as what are to similarity? Investigate properties of rigid motions and define congruence in terms of rigid motions with the ninth chapter of a 10-part eighth grade workbook series. The lesson then prompts...
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Lesson Plan
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Illustrative Mathematics

Why Does SSS Work?

For Teachers 9th - 10th Standards
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
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Unit Plan
Mathematics Vision Project

Transformations and Symmetry

For Teachers 9th - 10th Standards
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
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Assessment
Charleston School District

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal. 
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Assessment
Mathematics Assessment Project

Aaron's Designs

For Teachers 6th - 8th Standards
Learners first create designs for greeting cards by applying transformations of shapes on a coordinate plane, and then determine a sequence of transformations that produces a given design.
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Handout
Charleston School District

Transformation Basics

For Students 8th Standards
Transformations are more than the process in which sports cars become fighting robots. Listed in terms of which transformations give congruent or similar figures, several resources provide definitions and examples of the four basic...
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Lesson Plan
EngageNY

Matrix Notation Encompasses New Transformations!

For Teachers 11th - 12th Standards
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 2

For Students 8th Standards
It's time for a concept check! Check for student understanding over the three types of rigid transformations. The assessment follows the first 10 lessons in this series and to test pupils' proficiency of these concepts. Individuals...

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