Assessment
Charleston School District

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal. 
Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Assessment
EngageNY

End-of-Module Assessment Task — Precalculus (Module 1)

For Teachers 11th - 12th Standards
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
Unit Plan
Mathematics Vision Project

Structures of Expressions

For Teachers 10th - 12th Standards
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Handout
Charleston School District

Identifying Series and Determining Congruence or Similarity

For Students 8th Standards
Learners consider a set of questions to determine a series of transformations that will move one figure to another. Once the series is determined, the pupil then determines whether the pre-image and image are either congruent...
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Lesson Plan
Curated OER

Exploring Quadratic Data with Transformation Graphing

For Teachers 9th - 12th Standards
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Lesson Plan
EngageNY

The Hunt for Better Notation

For Teachers 11th - 12th Standards
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...
Activity
Illustrative Mathematics

Similar Circles

For Teachers 9th - 10th Standards
Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of...
Handout
Charleston School District

Constructing Reflections

For Students 8th Standards
An informative video and handout provide the basic information needed to reflect any pre-image across either of the axes on the coordinate plane. The printed resource provides a preview of reflecting across lines other than an axis....
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
Curated OER

Complex Analysis: Linear Fractional Transformations

For Students Higher Ed
For this linear transformation worksheet, students find and sketch a series of transformations. They map images. This four-page worksheet contains eleven problems, with examples and detailed explanations.
Lesson Plan
EngageNY

Matrix Multiplication and Addition

For Teachers 11th - 12th Standards
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
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...
Handout
Charleston School District

Constructing Rotations

For Students 8th Standards
An instructive lesson provides the basics on how to perform rotations on the coordinate plane. The handout also covers rotating about a point other than the origin and how to perform a series of transformations. 
Assessment
Mathematics Assessment Project

Aaron's Designs

For Teachers 6th - 8th Standards
Learners first create designs for greeting cards by applying transformations of shapes on a coordinate plane, and then determine a sequence of transformations that produces a given design.
Unit Plan
Mathematics Vision Project

Congruence, Construction and Proof

For Teachers 9th - 10th Standards
Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...
Worksheet
Curated OER

Using and Transforming Formulas

For Students 9th - 11th
In this algebra worksheet, students apply the properties of transformation as they solve equations. They identify which equation is true and similar. There are 20 questions with an answer key.
Lesson Plan
EngageNY

First-Person Computer Games

For Teachers 11th - 12th Standards
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
Worksheet
Math Worksheets 4 Kids

Translation Worksheet

For Students 7th - 9th
In this translation worksheet, pupils translate points according to given expressions. They plot points on a coordinate plane. This two-page worksheet contains five problems. Answers are provided on the last page.
Lesson Plan
Contemporary Arts Center

Mughal Miniature Paintings: Pattern Transformations

For Teachers 10th - 12th
What is the artist's role in the post 9/11 world? How do artists use imagery to convey meaning in their work? After examining the work of Mughal artist Imran Qureshi, class members create their own work that uses combative imagery to...
Assessment15:11
Mathed Up!

Translations

For Students 9th - 12th Standards
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils...
Lesson Plan
EngageNY

Designing Your Own Game

For Teachers 11th - 12th Standards
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
Lesson Plan
EngageNY

Base Angles of Isosceles Triangles

For Students 9th - 10th Standards
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...

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