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Cells - Overview & Introduction

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Lesson Planet

#### EngageNY Geometry Module 1: Congruence, Proof, and Constructions

The 36 lessons in the Geometry Module 1 collection address transformations in teaching geometry brought on by Common Core. The focus here is on transformations and the relationships between transformations and congruence. Teacher...

EngageNY

#### Congruence, Proof, and Constructions

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 is broken...

Lesson Planet

#### Tiling a Kitchen Floor

Cover the floor with math. Pupils work to determine the proper shape to cover a kitchen floor. They first determine the number of tiles to purchase and configure their placement to reduce the amount of waste. Teams finish by creating a...

Lesson Planet

#### Taking a Spin

It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...

Lesson Planet

#### Transmographer

Introducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms.

Lesson Planet

#### Transformations of Trapezoids

Transform trapezoids to a T. Pupils identify reflections and rotations that take trapezoids and map them back to themselves. They consider both isosceles and non-isosceles trapezoids.

Lesson Planet

#### Transformations of Rectangles and Squares

Young mathematicians create a list of transformations that carry a rectangle and a square onto themselves. They take into account both reflections and rotations.

Lesson Planet

#### Transformations of Parallelograms and Rhombi

Back to the original figure. Young mathematicians consider transformations that carry figures onto themselves. The figures in question are a parallelogram and a rhombus.

Lesson Planet

#### Transformations of Regular Polygons

Let polygons be polygons. Learners identify reflections and rotations that carry regular pentagons and regular hexagons onto themselves. They then make generalizations about n-gons.

Lesson Planet

#### Transformations and Symmetry

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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#### Between the Lines

Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...

Lesson Planet

#### Visualizing Rotations

Have classes been going in circles as they study rotations! Math scholars begin with an exploration of rotations using patty paper. As they progress through the lesson, they examine compositions of reflections and their resulting image....

Lesson Planet

#### Reflections

Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.

Lesson Planet

#### An Introduction to Transformations

Use geometry to transform learning! This introduction to transformations has pupils use patty paper and rubber bands to create rotations, reflections, translations, and dilations. Individuals learn the vocabulary and notation related to...

Lesson Planet

#### Common Geometric Figures

Geometry could be called the study of figures. An overview of the figures found in a typical geometry course contains a study of different triangles, quadrilaterals, and regular polygons.

EngageNY

#### Rectangles Inscribed in Circles

Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a...

EngageNY

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

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...

EngageNY

#### Review of the Assumptions (part 2)

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...

EngageNY

#### Translations

Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.

EngageNY

#### Review of the Assumptions (part 1)

What was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...

EngageNY

#### Mid-Module Assessment Task - Geometry (Module 1)

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...

EngageNY

#### Correspondence and Transformations

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...

EngageNY

#### Applications of Congruence in Terms of Rigid Motions

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...

EngageNY

#### Construct and Apply a Sequence of Rigid Motions

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...