Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Printables
Wordpress

Equation Table Graph

For Teachers 6th - 9th Standards
Your Algebra learners will appreciate this fabulous, two-page printable. The first page has a list of numbers that lead to the learners writing an equation in a cloud that represents these numbers, and then filling in a table, and...
Worksheet
CPM

Rigid Transformations

For Students 8th - 10th Standards
In 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
Curated OER

Twists and Turns

For Teachers 5th - 7th
Young scholars reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric...
Lesson Plan
EngageNY

Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Worksheet
Curated OER

Geometry: Transformations Practice

For Students 9th - 12th
Graph transformations, write rules to describe transformations, find coordinates of vertices after given transformations: geometers practice these skills on a two-page worksheet in 14 problems. No answers are provided.
Lesson Plan
Virginia Department of Education

Dilation

For Teachers 7th Standards
Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.
Lesson Plan
NY Learns

Investigation - Looking at Polygons

For Teachers 6th - 8th Standards
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
Lesson Plan
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...
Lesson Plan
Curated OER

Flips, Turns, and Slides: Adventures with Transformations

For Teachers 9th - Higher Ed
Students explore transformations. In this math lesson, students plot points on a coordinate grid and construct shapes. Students discuss movements on the grid as flips, turns and slides.
Lesson Plan
Curated OER

Similarity and Dilations - Discover Properties of Similar Figures

For Teachers 9th - 12th Standards
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Lesson Plan
Virginia Department of Education

Translation and Reflection

For Teachers 7th Standards
Bring about the change you want to see in the world  or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to...
Assessment3:06
Mathed Up!

Mixed Transformations

For Students 8th - 11th Standards
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
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...
Lesson Plan
EngageNY

Representing Reflections with Transformations

For Teachers 11th - 12th Standards
In the 16th instructional activity in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The instructional activity breaks the...
Lesson Plan
Mathematics Assessment Project

Representing and Combining Transformations

For Teachers 8th Standards
Transform your learners into master geometers with an activity that asks them to first complete an assessment task drawing the result after transformation of a given shape in the coordinate plane. They then use cards to...
Worksheet
Curated OER

Congruence Statements

For Students 10th
In this congruence statements activity, 10th graders solve and complete 16 various types of problems. First, they complete each congruence statement listed. Then, students graph each set of points on the coordinate plane provided. They...
Lesson Plan
EngageNY

Projecting a 3-D Object onto a 2-D Plane

For Teachers 11th - 12th Standards
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
Lesson Plan
Curated OER

Translations, Reflections, and Rotations

For Teachers 10th
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
Lesson Plan
Curated OER

Translations, Reflections, and Rotations

For Teachers 9th - 12th
High schoolers are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three...
Lesson Plan
Curated OER

Earth's Rotation

For Teachers 4th
Fourth graders investigate the Earth's rotation. In this Earth's rotation lesson, 4th graders realize that the rotation of Earth causes the days and nights on Earth. Students break into groups and use a flashlight and a sphere to...
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...
Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.