7th Grade Advanced Math Unit 7

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.

7.5C [Readiness] Solve mathematical and real-world problems involving similar shape and scale drawings.

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.

7.5A [Supporting] generalize the critical attributes of similarity, including ratios within and between similar shapes.

Learning Targets:

• Show mathematically how shapes move in relation to the x and y axis
• Know the rules to be applied for the specific transformation
• Congruency of shape

Essential Questions:

• Write an algebraic representation of the transformation
• How can proportional relationships be applied to geometry?

Extra Information:

Adopted Textbook: McGraw-Hill 8th Grade Mathematics

District Grading Policy

Texas Gateway Online Resource Center