7th Grade Advanced Math Unit 8

Big Idea:

Everything about triangles (sides, angles, measurements and missing angles)

Student Expectations:

Priority TEKS

8.7(C) [Readiness] Use the Pythagorean Theorem and its converse to solve problems.

8.8(D) [Supporting] Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

8.7(D) [Supporting] Determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

Focus TEKS

8.6(C) [Supporting] Use models and diagrams to explain the Pythagorean Theorem.

7.11C [Supporting] write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships

Ongoing TEKS

8.8(A) [Supporting] Write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants.

8.8(B) [Supporting] Write a corresponding real-world problem when given a one-variable equation or inequality with variable on both sides of the equal sign using rational number coefficient and constants.

8.8(C) [Readiness] Model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants.

Learning Targets:

• Deep understanding of the relationship of triangle sides and angles
• Distance between two points
• Pythagorean Theorem and its converse
• Exterior angle theorem
• Transversal
• Different kinds of angles: supplementary, complementary, vertical, adjacent

Essential Questions:

• What else can you determine from a triangle? Can you find the missing side length?
• How do measurements help describe real world object?

Extra Information:

Adopted Textbook: McGraw-Hill 8th Grade Mathematics

District Grading Policy

Texas Gateway Online Resource Center