In this unit, students learn to understand and use the terms “reflection,” “rotation,” “translation,” recognizing what determines each type of transformation, e.g., two points determine a translation. They learn to understand and use the terms “transformation” and “rigid transformation.” They identify and describe translations, rotations, and reflections, and sequences of these, using the terms “corresponding sides” and “corresponding angles,” and recognizing that lengths and angle measures are preserved. They draw images of figures under rigid transformations on and off square grids and the coordinate plane. They use rigid transformations to generate shapes and to reason about measurements of figures. They learn to understand congruence of plane figures in terms of rigid transformations. They recognize when one plane figure is congruent or not congruent to another. Students use the definition of “congruent” and properties of congruent figures to justify claims of congruence or non-congruence.
Unit at-a-glance
Pre-Unit Diagnostic Assessment |
Section 1:
Rigid Transformations |
Section 2:
Properties of Rigid Transformations |
Mid-Unit Assessment |
Section 3:
Congruence |
Section 4:
Angles in a Triangle |
Section 5:
Let's Put it to Work |
End-of-Unit Assessment | |||||||||||||
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Suggested pacing | Day 1 |
Days 2-7 Lessons 1-6 |
Days 8-11 Lessons 7-10 |
Day 12 |
Days 13-15 Lessons 11-13 |
Days 16-18 Lessons 14-16 |
Day 19 Lesson 17 |
Day 20 |
The pacing guidance is a suggestion only and based on a 45-60 minute daily math block. Those with more or less time should adjust accordingly. Depending on the particular lesson and your students’ needs, you may need to extend or condense lessons.
Resources for this unit
Lessons & assessments
Lessons 1-6: Rigid Transformations
Lessons 7-10: Properties of Rigid Transformations
Lessons 11-13: Congruence
Lessons 14-16: Angles in a Triangle
Lesson 17: Let's Put it to Work
Adapted from Open Up Resources under CC BY license. All adaptations copyright LearnZillion.