In this Transformation Exploration discovery lesson, students will cut out shapes and physically move them on a coordinate grid to learn about transformations. It works great to introduce 8th graders to transformations or to deepen understanding for high school students.
In this download, you will receive a PDF that includes the following:
2-Page Activity Handout
Sample Shapes for Activity
Grid for Students to Create Shapes
I recommend having students work in partners or groups for this activity, and all students within the group using the same shape. That way, they can catch each other’s mistakes along the way!
I love when students can get creative within a lesson. A grid that matches the handout’s grid square size is provided if you would like students to draw and cut out their own shapes. Pre-drawn shapes are also provided if you need to save time, differentiate, or want to assign all members in each group a certain shape.
• Basic graphing / knowledge of ordered pairs
• Transformation terminology (translate, rotate, reflect)
Note: Knowledge of transformation rules is NOT needed! Students will discover some rules during the lesson (such as when to add to what coordinate, or when to change the sign).
A sample is provided but should not be used as an answer key.
Thank you for your interest in this product from Rise over Run. Be sure to check out these related resources:
Using Transformations as an Architect
8th Grade Geometry Bundle
High School Geometry Bundle
Common Core standards:
8.G.A.1 Verify experimentally the properties of rotations, reflections, and translations.
8.G.A.1.a Lines are taken to lines, and line segments to line segments of the same length.
8.G.A.1.b Angles are taken to angles of the same measure.
8.G.A.1.c Parallel lines are taken to parallel lines.
8.G.A.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
HSG.CO.A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
HSG.CO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
HSG.CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
HSG.CO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.