First Semester
Unit 1: Investigating Linear Expressions, Equations, and Inequalities in One Variable In this unit, students will incorporate patterning and algebraic reasoning to create, interpret, solve, and graph linear equations and inequalities in one variable. The equations and inequalities include those with rational coefficients, variables on both sides and whose solutions require the use of the distributive property and combining of like terms. Students will interpret expressions with multiple factors and/or terms and manipulate linear and literal equations expressed in various forms.
Unit 2: Modeling Linear Relationships & Functions In this unit, students will analyze the connections between proportional and nonproportional lines and equations and be able to relate their graphs to their solution sets in the coordinate plane. They will apply functional and graphical reasoning to identify whether or not functions are linear or nonlinear. Students will also interpret, write, graph, and solve linear functions in different forms, depending upon the given context.
Unit 3: Investigating Data & Statistical Reasoning In this unit, students will extend the study of linear relationships by exploring models and tables. They will apply their functional and graphical reasoning to model relationships between quantities and describe the rate of change. The study of statistics expands from more simplistic samples and collections in sixth and seventh grade, to bivariate data, which can be graphed and a line of best fit determined. They will also make predictions and answer statistical questions based on data distributions.