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Grade 8 Mathematics Module 2, Topic B: Sequencing the Basic Rigid Motions

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Grade 8 Mathematics Module 2, Topic B: Sequencing the Basic Rigid Motions


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Type: Lesson/Unit Plan


Module 2, Topic B is a critical foundation to the understanding of congruence. All the lessons of Topic B demonstrate to students the ability to sequence various combinations of rigid motions while maintaining the basic properties of individual rigid motions. Lesson 7 begins this work with a sequence of translations. Students verify experimentally that a sequence of translations has the same properties as a single translation. Lessons 8 and 9 demonstrate sequences of reflections and translations and sequences of rotations. The concept of sequencing a combination of all three rigid motions is introduced in Lesson 10; this paves the way for the study of congruence in the next topic. 

Content Standard(s):
MA2015 (2016)
Grade: 8
17 ) 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-G2]

NAEP Framework
NAEP Statement::
4G2e: Match or draw congruent figures in a given collection.

NAEP Statement::
8G2e: Justify relationships of congruence and similarity and apply these relationships using scaling and proportional reasoning.

NAEP Statement::
8G3c: Represent problem situations with simple geometric models to solve mathematical or real-world problems.

NAEP Statement::
8G3f: Describe or analyze simple properties of, or relationships between, triangles, quadrilaterals, and other polygonal plane figures.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.17- Given a geometric figure and a vertical or horizontal translation and reflection across a vertical or horizontal line, identify the components (lines/sides, angles) of the two figures that are congruent (limited to non-equilateral rectangles and triangles).

Tags: congruent, figure, properties, reflections, rigid motions, rotations, translations, twodimensional
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There are four lessons in this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. 

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Author: Hannah Bradley