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...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Mathematics Vision Project
Module 2: Congruence, Construction and Proof
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
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 deceptively...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
EngageNY
Pythagorean Theorem, Revisited
Transform your pupils into mathematicians as they learn to prove the popular Pythagorean Theorem. The 16th instructional activity in the series of 25 continues by teaching learners how to develop a proof. It shows how to prove the...
California Mathematics Project
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.
Curated OER
Flips, Sides and Turns: Exploring Transformations
Students use an online dictionaries to define key geometric terms. They explore several websites to help them differentiate the terms reflections, translations and rotations as they apply to geometry and then complete an assessment...
Curated OER
Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
Curated OER
Geo Jammin' By DeSign - Day 1, Lesson 4: Transformation Station
Second graders manipulate triangles to discover the concepts of slides, flips and turns of a geometric shape.
Curated OER
Logical Thinking With Shapes
For this logical thinking with geometric shapes worksheet, students write directions for transforming one shape into the next on a web. They write phrases such as "make two sides parallel" or "make all the sides the same length" while...
Curated OER
ABC's Transformer
Fourth graders design their own letter graph, and then produce the resulting graphs after a translation, reflection, and rotation. After a review of vocabulary, 4th graders create their graphs using crayons.
Curated OER
Transformations
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
Curated OER
Transformation, Reflections, Rotations and Translations
Students create a quilt, using different patterns. In this geometry lesson, students apply prior knowledge as they use different patterns to help them create a quilt using transformations and geometric shapes.
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
EngageNY
Congruence Criteria for Triangles—SAS
Looking for a different approach to triangle congruence criteria? Employ transformations to determine congruent triangles. Learners list the transformations required to map one triangle to the next. They learn to identify congruence if...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
EngageNY
Congruence Criteria for Triangles—ASA and SSS
How do you know if a pair of triangles are congruent? Use the lesson to help class members become comfortable identifying the congruence criteria. They begin with an exploration of ASA and SSS criteria through transformations and...
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes slides and...
Flipped Math
Reflections
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...
Curated OER
Twists and Turns
Students 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 patterns...
Mathematics Vision Project
Module 3: Geometric Figures
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
Curated OER
Constructing Tangrams
Seventh graders visualize and identify geometric shapes after applying transformations on a coordinate plane. In this tangrams lesson, 7th graders construct a set of tangrams and then answer extension questions related to measurement,...