Curated OER
Exploring and Creating Tessellations
Students use translations, rotations, and reflections to create tessellations. They explore and construct several different types of tessellations including pure/semi-pure and non-regular polygon and "Escher-like" tessellations .
Curated OER
Transfromations
In this geometry worksheet, 10th graders solve questions that involve rotations, reflections, and dilations. The one page worksheet contains ten multiple choice questions. Answers are not provided.
Curated OER
Transformations in the Coordinate Plane: Practice
In this transformations worksheet, students identify the coordinates of triangle MNO after completing three translations and one reflection. Students use the triangle MNO with given coordinates to complete each transformation on the same...
Charleston School District
Identifying Series and Determining Congruence or Similarity
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...
Illustrative Mathematics
Similar Circles
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...
Curated OER
Miras, Mirrors, and Kaleidoscopes!
High schoolers use hands-on activities to explore transformations. They view a video segment that demonstrate how M. C. Escher employed geometry and transformations to create so many of his famous drawings.
Curated OER
Transformations, Tessellations, and Technology
Learners complete a unit about transformations and tessellations. They explore various tessellation websites, determine which shapes tessellate, complete a log about which website activities they complete, and create a tessellation...
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...
Curated OER
Geometry Level 3
What a wonderful resource! Learners create two-dimensional shapes according to the instructions stated, use the squares to make a triangular prism, a cube, and a pyramid, and identify features of plane shapes, among a myriad of other...
Exploratorium
Polarized Sunglasses
Reflected waves of light move within a plane, and because of this, polarizing materials can reduce the glare our eyes see. This resource explains how to set up a demonstration of this effect. Consider it for use in your physical science...
Curated OER
Reflecting a Rectangle Over a Diagonal
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
Curated OER
Geometry Jeopardy!
A list of instructions for this exciting Geometry Jeopardy game is included on slide 2. There are a total of 25 clues and 5 categories, including: solids, triangles, lines, angles, and grab bag. Tip: Play this Jeopardy game with your...
Curated OER
Symmetries of Rectangles
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Curated OER
Triangle Congruence with Coordinate
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
Curated OER
Symmetries of a Quadrilateral I
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...
Curated OER
Seven Circles II
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...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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
Definition of Congruence and Some Basic Properties
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...
Institute of Electrical and Electronics Engineers
Working with Wind Energy
After reading about how wind turbines work to collect clean energy, groups brainstorm and design their own windmill. Within the provided financial and physical constraints, groups must build a working windmill using only the materials...
Charleston School District
Constructing Dilations
Pupils multiply the vertical and horizontal distances from the center of dilation by the scale factor. The independent practice prompts the class to analyze the relationship between the image and pre-image. The lesson is...
Institute of Electrical and Electronics Engineers
Working with Wind Energy
Teams design and build a windmill, under budget, that can lift an object. The groups evaluate and reflect on their own design, then on those produced by other teams. The goal is to determine which design is the most...
EngageNY
Are All Parabolas Congruent?
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.
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.