High School Math Guide

Critical Background Knowledge cont…

• Include use of coordinates and absolute value to find distances between points with the same x-coordinate or the same y-coordinate (6.NS.8) • Know properties of supplementary, complementary, vertical, and adjacent angles (7.G.5) • Know how rigid motions affect a given geometric figure (I.G.CO.1, 2, 3, 4, 5, 6) • Use informal arguments to establish facts about the angle sum and exterior angles of triangles (8.G.5) • Understand that a figure is similar to another if it can be obtained from the first by a sequence of transformations which may include a dilation (8.G.4) • Establish facts about angles created when parallel lines are cut by a transversal (8.G.5) • Use ratio and rate reasoning to solve real-world problems (6.RP.3) • Find and position pairs of integers and other rational numbers on a coordinate plane (6.NS.6c) • Solve real-world and mathematical problems by graphing points in all four quadrants (6.NS.8) • Solve problems involving scale drawings of geometric figures (7.G.1) • Compute unit rates associated with ratios of lengths (7.RP.1) • Apply Pythagorean Theorem to find distances (8.G.9) • Use coordinates to prove simple geometric theorems algebraically (I.G.GPE.4) • Make a formal construction for bisecting a line segment (I.G.CO.12) • Apply the Pythagorean Theorem in real-world and mathematical problems in two and three dimensions (8.G.7) • Apply the Pythagorean Theorem to determine unknown side lengths (8.G.7)