Lesson Plan
Alabama Learning Exchange

Triangle Congruence with Rigid Motion

For Students 9th - 12th Standards
Combine transformations and triangle congruence in a single lesson. Scholars learn to view congruent triangles as a rigid transformation. Using triangle congruence criteria, learners identify congruent triangles and the rigid...
Worksheet
CPM

Rigid Transformations

For Students 8th - 10th Standards
For this rigid transformation worksheet, students follow directions to translate, reflect or rotate a figure in a coordinate plane. Examples and explanations are provided at the beginning of the document. This two-page worksheet contains...
Lesson Plan
EngageNY

Applications of Congruence in Terms of Rigid Motions

For Students 9th - 10th Standards
Corresponding parts, congruent parts, congruent corresponding parts—what does it all mean? The resource challenges pupils to identify corresponding parts for pairs of figures. It uses examples of figures that undergo rigid...
Lesson Plan
EngageNY

Sequences of Rigid Motions

For Students 8th Standards
Examine the various rigid transformations and recognize sequences of these transformations. The lesson asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...
Lesson Plan
EngageNY

Construct and Apply a Sequence of Rigid Motions

For Teachers 9th - 12th Standards
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
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...
Lesson Plan
Curated OER

Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation

For Teachers 7th - 8th
Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
Unit Plan
1
1
EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...
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...
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...
Lesson Plan
EngageNY

Definition of Congruence and Some Basic Properties

For Students 8th Standards
Build a definition of congruence from an understanding of rigid transformations. The activity asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
Lesson Plan
1
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Curated OER

Seven Circles II

For Teachers 9th - 10th Standards
Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute...
Lesson Plan
EngageNY

Why Move Things Around?

For Students 8th Standards
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions. 
Lesson Plan
Curated OER

Reflections and Equilateral Triangles

For Teachers 9th - 10th Standards
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they...
Lesson Plan
Curated OER

Symmetries of Rectangles

For Teachers 9th - 10th Standards
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Lesson Plan
EngageNY

Mid-Module Assessment Task - Geometry (Module 1)

For Teachers 9th - 10th Standards
How do you prepare class members for the analytical thinking they will need in the real world? An assessment requires the higher order thinking they need to be successful. The module focuses on the concept of rigid transformations...
Lesson Plan
Curated OER

Building Big and Strong

For Teachers 6th - 9th
Middle and high schoolers explore the concepts of architectural rigidity. They analyze a variety of polygons, and explain why some shapes add more strength to structures than others. The PBS video, "Building Big," is utilized in this plan.
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...
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...
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...
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.
Lesson Plan
Curated OER

Symmetries of a Quadrilateral I

For Teachers 9th - 10th Standards
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...
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...
Lesson Plan
EngageNY

Congruence Criteria for Triangles—SAS

For Students 9th - 10th Standards
Looking for a different approach to triangle congruence criteria? Employ transformations to determine congruent triangles. Learners list the transformations required to map one triangle to the next. They learn to identify congruence...