ALEX Classroom Resource

  

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

  Classroom Resource Information  

Title:

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

URL:

https://www.engageny.org/resource/grade-8-mathematics-module-2-topic-b-overview

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

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):
Mathematics
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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Comments

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. 

  This resource provided by:  
Author: Hannah Bradley