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Curated OER
Tangent Lines and the Radius of a Circle
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution.
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
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...
Agile Mind
Transforming Graphs of Quadratic Functions
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
Curated OER
Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
PBS
Using Symmetry to Create Corporate Logos
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...
Noyce Foundation
Cut It Out
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out....
Illustrative Mathematics
Reflections and Isosceles Triangles
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Curated OER
Triangle's Interior Angles
Given a pair of parallel lines and a triangle in between, geometers prove that the sum of the interior angles is 180 degrees. This quick quest can be used as a pop quiz or exit ticket for your geometry class.
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.
Curated OER
Reflecting Reflections
A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens students' skills when it comes to reflection on the coordinate plane.
Curated OER
Why Does ASA Work?
Your geometry learners explore Angle-Side-Angle congruence in this collaborative task. The sum of the interior angles of all triangles being one hundred eighty degrees, is the key learners will discover as they explain their reasoning...
Curated OER
Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
Texas Instruments
Texas Instruments: Transformations in Geometry
In this activity the teacher will send two lists, a window range, and an educational document via the TI-Navigator. Students will explore the reflections and rotations of a shape in the rectangular coordinate system.
Math Open Reference
Math Open Reference: Plane Geometry: Transformations
Explore transformations of a polygon that include: 1) translation 2) rotation 3) reflection and 4) dilation.
Other
Hstry: Transformations
A unique geometry project that asks students to complete a transformation using a picture. Project includes instructions, examples, and quiz questions.
Math Is Fun
Math Is Fun: Transformations
Students learn about transformations. Topics explored are resizing, types of transformations, and congruent shapes. Examples and definitions are included.
Texas Instruments
Texas Instruments: Connecting Translations, Reflection, and Rotations
In this activity, students will investigate the relationship among the three types of rigid transformations - translations, rotations, and reflections.
Texas Instruments
Texas Instruments: Introduction to Geometry
These LearningCheck documents review basic geometric vocabulary, including transformations. It includes questions about the relationship between points lines and planes.
Texas Instruments
Texas Instruments: Traveling Shapes Motion Geometry
In this activity, students describe how to move a shape from one place to another in a plane. They learn about translations, rotations, and line reflections. [Requires Adobe Reader.]
CK-12 Foundation
Ck 12: Geometric Translations: Transformations of a House
[Free Registration/Login Required] Students will adjust points on a figure to explore translations. Click challenge me to answer practice questions and click learn more to watch a video.
CK-12 Foundation
Ck 12: One Step Equations Transformed by Multiplication/division
[Free Registration/Login Required] Students will explore solving for variables with multiplication and division. Click challenge me to answer a practice question and click learn more to watch a video.
Math Is Fun
Math Is Fun: Geometry
Students learn about geometry by investigating different shapes and their properties. Topics include plane geometry, drafting tools, transformations, angles, and trigonometry.