High School Math Guide

Sequences

Unit 1

MATH CORE STANDARDS I.A.SSE.1 : Interpret expressions that represent a quantity in terms of its context

I.N.Q.2 : 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.F.LE.1 : Distinguish between situations that can be modeled with linear functions and with exponential functions. I.F.LE.2 : Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). I.F.LE.5 : Interpret the parameters in a linear or exponential function in terms of a context. Limit exponential functions to those of the form f(x) = b x +k I.F.BF.1 : Write a function that describes a relationship between two quantities. I.A.REI.3 : Solve equations and inequalities in one variable.

Critical Background Knowledge

• 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) • Graph points in all four quadrants of the coordinate plan (6.NS.8) • Choose appropriate graph/plot for data (6.SP.4) • Compute unit rates involving ratios 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 • Describe where a function is increasing or decreasing (8.F.5) • Identify the constant rate of change (7.RP.2b, 8.EE.5, 8.F.4, 8.F.5) • Construct a function to model a linear situation (8.F.4) • Interpret the equation y = mx + b and interpret the rate of change and initial value (8.F.3, 8.F.4)

• Simplifying expressions (7.EE.2) • Definition of a function (8.F.3) • Construction of linear functions (8.F.4)

• Describe relationships between quantities (8.F.5) • Solving Linear equations in one variable (8.EE.7)

• Solve one-step equations (6.EE.7) • Solve two-step equations (7.EE.4) • Reason about and solve equations and inequalities (6.EE.5-6) • Use properties of algebra to simplify algebraic expressions (7.EE.1-2)