8th grade Math Guide

Extension

Lesson 3.2 STEM Adventure - Biosystems engineers are exploring erosion control solutions for different project sites. Students use their linear relationship and equation knowledge to test and interpret which erosion control solutions are most efficient.

REVEAL MATH AND CORE ALIGNMENT

Standard

Section(s)

8.EE.5

3.1, 3.2

8.EE.6

3.3, 3.4, 3.5

8.EE.7

3.6, 3.7, Secondary 1 Module 2 Lesson 5

LEARNING INTENTIONS

●​ I can graph a proportional relationship and describe the slope of the line as the constant of proportionality or unit rate. ●​ I can look for and make use of structure to graph a proportional relationship. ●​ I can compare two different proportional relationships by comparing the slopes. ●​ I can use repeated reasoning to compare two different proportional relationships. ●​ I can show that hypotenuses of similar triangles have equal slopes. ●​ I can make use of structure to show that similar triangles have equal slopes. ●​ I can derive the equation y = mx for a line through the origin by using the slope to write the equation. ●​ I can make use of structure to derive the equation y = mx for a line through the origin. ●​ I can derive the equation y = mx + b for a line by using the slope formula to write the equation. ●​ I can reason abstractly and quantitatively to use the slope formula to write the equation of a line. ●​ I can solve an equation with variables on each side. ●​ I can use repeated reasoning to solve equations with variables on each side. ●​ I can determine the number of solutions to linear equations. ●​ I can attend to precision to determine the number of solutions to a linear equation. ●​ I can solve absolute value equations.

KEY VOCABULARY

●​ Rise ●​ Run ●​ Slope

●​ Reveal ●​ Hypotenuse ●​ Similar ●​ Slope Triangles ●​ Determine ●​ Visual ●​ Slope Formula ●​ Input

●​ Precede ●​ Initial Value ●​ Nonproportion al ●​ Slope-Intercept Form ●​ Y-Intercept ●​ Differentiate ●​ Reinforce

●​ Distributive Property ●​ Like Terms ●​ Isolate ●​ Manipulate

●​ Unit Rate ●​ Accurate ●​ Inspect ●​ Proportional ●​ Slope ●​ Compare

●​ Solution ●​ Confirm ●​ Diverse