EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
EngageNY
Representing Reflections with Transformations
In the 16th lesson 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 lesson breaks the process of reflecting across a line...
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
NTTI
Transform Your Geometry into a Work of Art
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson plan introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Curated OER
Punch Patterns
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
Curated OER
Design Explorations: Frieze Patterns
Middle schoolers will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore...
Curated OER
Angle Exploration and Classification
Students compare and contrast angles and identify them as acute, obtuse, right, or straight angles. They create rays and angles using uncooked spaghetti, read and discuss key vocabulary terms, and complete a variety of geometry worksheets.
Curated OER
Determine the Coordinate of Transformations
Students investigate transformation on a coordinate plane. In this geometry lesson, students identify pairs of coordinates and their location on the grid. They perform rotation and reflection of each polygon.
Curated OER
Data Representation
Students solve real life scenarios using math. For this geometry lesson, students collect, predict and interpret data. They measure a chair using different measurements and choose what would make the chair the best design.
CK-12 Foundation
Ck 12: Geometry: Dilation
[Free Registration/Login may be required to access all resource tools.] In this lesson students explore geometric dilations. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Texas Education Agency
Texas Gateway: Generalizing Geometric Properties of Ratios in Similar Figures
Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding...
Other
Nearpod: Introduction to Geometric Transformations
In this lesson, students will learn how to describe and identify reflections, rotations, translations, and dilations.
Mathigon
Mathigon: Geometry: Transformations and Symmetry: Dilations
This lesson focuses on dilations, a dilation is a transformation that resizes a geometric shape, by making it bigger or smaller.
Texas Education Agency
Texas Gateway: Generalizing Proportions From Similar Figures
Given a pair of similar figures, including dilations, students will be able to generalize that the lengths of corresponding sides are proportional.
CK-12 Foundation
Ck 12: Geometry: Types of Transformations Study Guide
[Free Registration/Login may be required to access all resource tools.] Transformations move and modify geometric shapes. There are several types of transformations that all transform figures in different ways. These transformations can...