High School Math Guide

Critical Background Knowledge Cont…

• Give examples of linear equations with one solution, infinitely many solutions, or no solutions (8.EE.7a) • Understand that a solution to a system of two linear equations corresponds to points of intersection of their graphs (8.EE.8a) • Solve systems of linear equations (I.A.REI.6) • Identify the solutions of the equation f(x) = g(x) as the x-coordinate of the points where the graphs of the equations y = f(x) and y = g(x) intersect (I.A.REI.11) • Create linear and exponential equations and inequalities in one variable and use them to solve problems (I.A.CED.1) • Create and solve linear equations (6.EE.7, 7.EE.4a, 8.EE.7, I.A.CED.1, I.A.REI.3) • Solve inequalities and use inequality notation (6.EE.8, 7.EE.4b, 8.EE.7) • Understand and use properties of exponents (8.EE.1) • Solve exponential equations that can be solved using laws of exponents (I.A.CED.1, I.A.REI.3) • Write recursive and explicit equations (I.F.BF.1a, I.F.BF.2) • Use square roots and cube root symbols to represent solutions to equations (8.EE.2) • Solve simple exponential equations (I.A.REI.3c) • Apply the properties of operations to generate equivalent expressions (6.EE.3, 6.EE.4, 7.EE.2, 8.EE.1) • Use square root and cube root symbols to represent solutions to equations (8.EE.2) • Solve linear equations (I.A.REI.3) and simple exponential equations (I.A.REI.3c) • Know that numbers that are not rational are called irrational (8.NS.1) • Use rational approximations of irrational numbers (8.NS.2) • Understand how to perform operations and simplify radicals (8.NS.3) • Understand rational numbers (6.NS.1, 7.NS.1, 7.NS.2) and irrational numbers (8.NS.1) as part of the real number system. • Use square root to represent solutions to equations (8.EE.2) • Apply the properties of operations, including integer exponents (8.EE.1), to generate (6.EE.3) and identify equivalent expressions (6.EE.4, 7.EE.2) • Add, subtract, multiply, and divide rational numbers (7.NS.1, 7.NS.2) • Apply properties of operations (to combine terms) and generate equivalent expressions (6.EE.3, I.A.REI.5) • Combine function types using arithmetic operations (I.F.BF.1b) • Understand that rewriting an expression can highlight quantities (7.EE.2) • Determine rate of change and initial value of a function (8.F.3, 8.F.4) • Interpret unit rate as the slope (8.EE.5) • Compare properties of two functions (linear to linear), each represented a different way (8.F.2) • Compare properties of two functions in different representations (I.F.IF.9) • Find intercepts, rates of change, and end behavior (I.F.IF.4) • Calculate and interpret the rate of change of a linear or exponential function (I.F.IF.6) • Determine the rate of change from a description of a relationship or from two (x,y) values and interpret its meaning (8.F.4)