8th Grade Math Unit 7
Transformational Geometry
17 Instructional Days - 4th 6 Weeks
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Big Idea:
Compare and contrast using algebraic representation to explain reflection, translation, rotation and dilation.
Student Expectations:
Priority TEKS
8.3(C) [Readiness] Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.
8.10(C) [Readiness] Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90 degrees, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation.
Focus TEKS
8.3(A) [Supporting] Generalize that the ratio of corresponding sides of similar shapes are proportional,k including a shape and its dilation.
8.3(B) [Supporting] Compare and contrast the attributes of a shape and its dilations(s) on a coordinate plane.
8.10(A) [Supporting] Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane.
8.10(B) [Supporting] Differentiate between transformations that preserve congruence and those that do not.
8.10(D) [Supporting] Model the effect on linear and area measurements of dilated two-dimensional shapes.
Student Learning Targets:
- I will show mathematically how shapes move in relation to the x- and y-axis.
- I will be able to identify and use the rules for transformations.
- I will be able to describe a shape based on the properties of congruence and orientation.
- I will write a description of the transformations.
Essential Questions:
- How are transformations used in the real world? Describe an example.
Extra Information:
Adopted Textbook: McGraw-Hill 8th Grade Mathematics
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