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...
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...
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 lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
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
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
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...
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...
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...
Lesson Plan
EngageNY

Grade 10 ELA Module 1: Unit 3, Lesson 5

For Teachers 10th Standards
Even the most rigid expectations come from a place of deeply held values. In a key chapter of Amy Tan's The Joy Luck Club, explore the ways that Jing-Mei's mother's parental expectations affect her relationship with Jing-Mei. Tenth...
Assessment
Inside Mathematics

Aaron's Designs

For Teachers 8th Standards
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Lesson Plan
1
1
Curated OER

Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
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.
Unit Plan
Special Olympics

Train at School

For Teachers K - 12th Standards
Here is a fantastic compilation of adaptive physical education lesson plans that cover the major concepts of physical fitness, including: aerobic endurance, balance, coordination, flexibility, power, speed and agility, and...
Lesson Plan
Curated OER

Triangle Congruence with Coordinate

For Teachers 7th - 9th Standards
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
Unit Plan
Mathematics Vision Project

Module 1: Transformations and Symmetry

For Teachers 9th - 12th Standards
No need to change anything about the resource. The first of eight modules in the MVP Geometry unit focuses on transformations in the coordinate plane. It connects translations, rotations, and reflections to congruence, symmetry, and...
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...
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...
Lesson Plan
EngageNY

End-of-Module Assessment Task - Geometry (module 1)

For Students 9th - 10th Standards
Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...
Lesson Plan
EngageNY

Review of the Assumptions (part 2)

For Students 9th - 10th Standards
Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...