ALEX Classroom Resource

  

Transformations StudyJam

  Classroom Resource Information  

Title:

 Transformations StudyJam

URL:

 https://studyjams.scholastic.com/studyjams/jams/math/geometry/transformations.htm

Content Source:

 Other
http://studyjams.scholastic.com/
Type: Audio/Video

Overview:

This classroom resource provides a video that introduces transformations and describes the different types: reflection, rotation, and translation. After utilizing this resource, the students can complete the short quiz to assess their understanding.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
42. Verify experimentally the properties of rigid motions (rotations, reflections, and translations): lines are taken to lines, and line segments are taken to line segments of the same length; angles are taken to angles of the same measure; and parallel lines are taken to parallel lines.

a. Given a pair of two-dimensional figures, determine if a series of rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are congruent; describe the transformation sequence that verifies a congruence relationship. [Grade 8, 22]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Confirm characteristics of the figures, such as lengths of line segments, angle measures and parallel lines as they develop a definition for congruent figures.
  • Use mathematical vocabulary to distinguish between a pair of congruent figures, noting that the figure prior to the transformation is called the preimage and the post-transformation figure is called the image.
  • Examine two figures to identify the rigid transformation(s) that produced the image from the pre-image. they can recognize the symbol for congruency (≅) and write statements of congruence.
Teacher Vocabulary:
  • Congruent
  • Rotation
  • Reflection
  • Translation
Knowledge:
Students know:
  • how to measure line segments and angles
  • That similar figures have congruent angles.
  • The definition/concept of what a figure does when it undergoes a rotation, reflection, and translation.
  • how to perform a translation, reflection, and rotation.
Skills:
Students are able to:
  • verify by measuring and comparing lengths of a figure and its image that after a figure has been translated, reflected, or rotated its corresponding lines and line segments remain the same length.
Understanding:
Students understand that:
  • congruent figures have the same shape and size.
  • Two figures in the plane are said to be congruent if there is a sequence of rigid motions that takes one figure onto the other.
Diverse Learning Needs:
Mathematics
MA2019 (2019)
Grade: 8
22. Verify experimentally the properties of rigid motions (rotations, reflections, and translations): lines are taken to lines, and line segments are taken to line segments of the same length; angles are taken to angles of the same measure; and parallel lines are taken to parallel lines.

a. Given a pair of two-dimensional figures, determine if a series of rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are congruent; describe the transformation sequence that verifies a congruence relationship.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Confirm characteristics of the figures. such as lengths of line segments, angle measures, and parallel lines as they develop a definition for congruent figures.
  • Use mathematical vocabulary to distinguish between a pair of congruent figures, noting that the figure prior to the transformation is called the preimage and the post-transformation figure is called the image.
  • Examine two figures to identify the rigid transformation(s) that produced the image from the pre-image. they can recognize the symbol for congruency (≅) and write statements of congruence.
Teacher Vocabulary:
  • Congruent
  • Rotation
  • Reflection
  • Translation
Knowledge:
Students know:
  • How to measure line segments and angles.
  • That similar figures have congruent angles.
  • The definition/concept of what a figure does when it undergoes a rotation, reflection, and translation.
  • How to perform a translation, reflection, and rotation.
Skills:
Students are able to:
  • verify by measuring and comparing lengths of a figure and its image that after a figure has been translated, reflected, or rotated its corresponding lines and line segments remain the same length.
Understanding:
Students understand that:
  • congruent figures have the same shape and size.
  • Two figures in the plane are said to be congruent if there is a sequence of rigid motions that takes one figure onto the other.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.8.22.1: Define rotation, reflection, and translation.
M.8.22.2: Recognize translations (slides), rotations (turns), and reflections (flips).
M.8.22.3: Distinguish between lines and line segments.
M.8.22.4: Demonstrate how to measure length.
M.8.22.5: Demonstrate how to use a protractor to measure angles.
M.8.22.6: Identify parallel lines.
M.8.22.7: Define congruent and sequence.
M.8.22.8: Compare translations to reflections.
M.8.22.9: Compare reflections to rotations.
M.8.22.10: Compare rotations to translations.
M.8.22.11: Identify attributes of two-dimensional figures.
M.8.22.12: Identify congruent figures.

Prior Knowledge Skills:
  • Define ordered pairs.
  • Name the pairs of integers and/or rational numbers of a point on a coordinate plane.
  • Demonstrate when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
  • Identify which signs indicate the location of a point in a coordinate plane.
  • Recall how to plot ordered pairs on a coordinate plane.
  • Define reflections.
  • Define reflections.
  • Calculate the distances between points having the same first or second coordinate using absolute value.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.22 Identify 3 different transformations (e.g., reflection, rotation, translation).
Tags: reflection, rotation, transformation, translation
License Type: Custom Permission Type
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Accessibility
Comments

The quiz may be completed as a whole group or independently on student devices.

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  This resource provided by:  
Author: Hannah Bradley
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