Lesson Plan
EngageNY

Sequences of Rigid Motions

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

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...
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
Shodor Education Foundation

Visual Patterns in Tessellations

For Teachers 7th - 10th Standards
Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.
Activity
Curated OER

Unit Squares and Triangles

For Teachers 9th - 11th Standards
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Activity
Illustrative Mathematics

Is This a Parallelogram?

For Teachers 9th - 12th Standards
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Lesson Plan
Curated OER

Symmetry of Road Signs

For Teachers 8th - 11th
Students identify symmetry in road signs. In this geometry lesson, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.
Lesson Plan
Curated OER

Tessellations: Geometry and Symmetry

For Teachers 8th - 10th
Students explore the concept of tessellations. In this tessellations lesson, students use an applet to construct tessellations. Students use regular polygons to construct tessellations. Students find patterns and symmetry in their...
Lesson Plan
Curated OER

Group Isomorphisms

For Teachers 9th - 10th
Students identify and apply properties of triangles. In this geometry instructional activity, students define equilateral triangles by sides and angles. They build cardboard triangles as they study properties of triangles.
Lesson Plan
Curated OER

Strut Your Stuff

For Teachers 4th - 5th
Young scholars begin the lesson plan by identifying what a polygon is and hypothesizing how many struts (diagonals) it would take to make a polygon rigid. They watch a "Magic School Bus" episode then experiment with various shapes to...
Lesson Plan
Curated OER

Take a Stab!

For Teachers 5th - 8th
Students construct an experiment to test the rigidity of compressed air and its strength. In this earth science lesson plan, students are divided into groups, and by putting their thumb over the end of a straw, use the compressed air...
Lesson Plan
Curated OER

Condensation Polymerization: Preparation of Two Types of Polyesters

For Teachers 11th - Higher Ed
College-level or AP chemists use phthalic anhydride to synthesize two different polyesters, one linear and one cross-linked in structure. A detailed materials list and well-written procedures are provided on a lab sheet. Learners write...
Lesson Plan
Curated OER

The Influence of Initiator Concentration on the Molecular Weight of Polystyrene

For Teachers 11th - Higher Ed
This in-depth organic chemistry lab walks learners through an investigation of the effect of initiator concentration on the resulting molecular weight of polystyrene. It is important that you use this lesson with experienced chemistry...
Lesson Plan
Alabama Learning Exchange

Mirror, Mirror on the Wall: Reflections of Light

For Teachers 9th - 12th Standards
Why can we see our reflection in a window but not a brick wall? Young physicists learn the Law of Reflection and various light properties that help them answer this and other questions about reflection. Use the PowerPoint to introduce...
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...