8th grade Math Guide

ANGLES, TRIANGLES, AND THE PYTHAGOREAN THEOREM

Unit 6

PACING

KEY LANGUAGE USES

EXPLAIN

January 19 - February 18 (21 days)

STANDARDS Standard 8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so .

Standard 8.G.6 Explain a proof of the Pythagorean Theorem and its converse.

Standard 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Standard 8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Standard 8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x 2 = p and x 3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS I can solve real-world problems using the Pythagorean Theorem. Language Supports: ●​ Vocabulary (Pythagorean Theorem)

I can use the Pythagorean Theorem to determine the length of a diagonal line on the coordinate plane. Language Supports: ●​ Vocabulary (Distance)

I can demonstrate how to use the Pythagorean Theorem in real-world scenarios. Language Supports: ●​ Vocabulary (Hypotenuse)

DIFFERENTIATION IN ACTION Skill Building

Unit 6 Fluency Practice on Tables, Graphs, & Equations

Extension

Lesson 6.6 STEM Adventure - Students apply understanding of triangles and angles to explore what elements are in the air we breathe.