Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Curated OER
Exploring Transformations
Learners explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Identifying Transformations
In this identifying transformations learning exercise, 3rd graders look at three figures and choose reflected, rotated or translated to indicate how it has been transformed.
Curated OER
Transformation of Alphabet Letters
In this transformation of alphabet letters worksheet, students choose whether three alphabet letters have been reflected, rotated or translated.
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...
Illustrative Mathematics
Are They Similar?
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
EngageNY
Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
EngageNY
Sequences of Rigid Motions
Examine the various rigid transformations and recognize sequences of these transformations. The lesson asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
Curated OER
Introduction to Unit V-Transformations
Students investigate transformations. In this Algebra I/Geometry lesson, students explore reflections, translations, rotations and dilations. The lesson includes examples of transformations in art, architecture, and nature.
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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...
Curated OER
Activity Plan 5-6: Shape Transformers
Students expand their thinking while investigating shape and design. In this early childhood lesson plan, students transform a geometric shape into another shape or design to develop math and creative-thinking skills.
EngageNY
End-of-Module Assessment Task - Geometry (module 1)
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...
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 is broken...
Curated OER
Tiling Tessellations
Young scholars explore tessellations. In this shapes and geometry activity, students describe the attributes of many of the shapes displayed on an Elmo. Young scholars create examples of tessellations using pattern blocks.
Curated OER
Transformation Trio
Students identify the transformation and rotation of polygons. For this geometry lesson, students use picture to perform rotation, reflection and transformation. They identify the coordinate points of the new transformation.
Curated OER
Determine the Coordinate of Transformations
Learners 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
Coordinate Connections
Sixth graders complete several activities that involve coordinates and graph paper. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders draw and label a coordinate...
Curated OER
Problem-Solving Strategy: Find a Pattern
In this tessellations worksheet, students solve 2 word problems where they use the "make a pattern strategy" to form tessellations from geometric shapes. There is scaffolding for the problem solving strategy.
Pennsylvania Department of Education
Making Cubes
Third graders explore vocabulary associated with three dimensional figures. In this transformations lesson, 3rd graders create two dimensional nets for three dimensional figures. Students become familiar with describing two and three...
Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. In this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with the vocabulary...
Mathematics Vision Project
Congruence, Construction and Proof
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,...