High School Math Guide

Equations and Inequalities

Unit 4

MATH CORE STANDARDS I.A.REI.1 : Explain each step in solving a linear equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. I.N.Q.1 : Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. I.N.Q.2 : Define appropriate quantities for the purpose of descriptive modeling. I.A.REI.3 : Solve equations and inequalities in one variable I.A.CED.1 : Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and simple exponential functions. I.A.CED.4 : Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. I.A.REI.3b : Solve compound inequalities in one variable, including absolute value inequalities. Critical Background Knowledge • Use properties of operations to create equivalent expressions (7.EE.1, 7.EE.2) • Apply and extend previous understandings of arithmetic to algebraic expressions (6.EE.3, 6.EE.4) • Reason about and solve one variable equations (6.EE.5, 6.EE.6, 6.EE.7) • Solve one variable equations (7.EE.4a, 8.EE.7) • Graph points in all four quadrants of the coordinate plane (6.NS.8) • Choose appropriate graph/plot for data (6.SP.4) • Solving linear equations and inequalities in one variable (8.EE.7) • Solve one-step equations (6.EE.7) and inequalities (6.EE.8) • Solve two-step equations and inequalities (7.EE.4) • Understand absolute value (6.NS.7) and solve absolute value equations (8.EE.7c) • Reason about and solve equations and inequalities (6.EE.5-6) • Use properties of algebra to simplify algebraic expressions (7.EE.1-2) • Create expressions and equations (6.EE.6, 7.EE.4) • Solve equations (6.EE.7, 7.EE.4a, 8.EE.7) • Understand and use properties of exponents (8.EE.1) • Use variable to write equations and solve them (6.EE.2, 6.EE.6, 6.EE.7) • Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how quantities are related (7.EE.2) • Solve multi-step equations (7.EE.3, 7.EE.4, 8.EE.7) • • Compute unit rates involving rations of lengths, areas, and other quantities (7.RP.1) • Approximately locate irrational numbers on a number line diagram (8.NS.2) • Analyze features of a graph and sketch graphs that have been described verbally (8.F.5) • Construct and interpret scatter plots (8.SP.1)