8th grade Math Guide

5

3.8

3.7

5.MD.3

3.5

6

3.8

7.RP.2c

3.12

6.G.1

LEARNING INTENTIONS

● Graph a proportional relationship given a table, equation or contextual situation. ● Recognize unit rate as slope and interpret the meaning of the slope in context. ● Compare different representations of two proportional relationships represented as contextual situations, graphs, tables, or equations. ● Determine the slope of a line as the ratio of the leg lengths of similar right triangles. ● Explain why the slope is the same between any two distinct points on a line using similar right triangles. ● Derive an equation in the form y = mx + b from a graph of a line on the coordinate plane. ● Understand that solutions to a system of two linear equations is where the lines intersect. ● Solve systems of two linear equations graphically and identify the number of solutions (one solution, infnitely many solutions or no solutions). ● Interpret the solution to graphs of systems of linear equations, estimating when solutions are not integers. ● Basic understanding of rotation (about a point), refection (about a line), and translation (in a given direction). ● Verify that congruence of line segments and angles is maintained through rotation, refection, and translation. ● Verify that lines remain lines through rotation, refection, and translation. ● Verify that when parallel lines are rotated, refected, or translated, each in the same way, they remain parallel lines.

KEY VOCABULARY

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Rate of Change

Vertical Intercept

Slope

Solution to an equation with two variables

Linear Relationships