Math 1 Course Description
In Math 1, the algebra and functions focus is on properties of linear and exponential functions, and an introduction to the properties of quadratic functions. Students extend their prior knowledge of integer exponents with numerical expressions learned in the middle school to algebraic expressions. Geometry focus is on coordinate geometry and proof. Students continue work from middle school on summarizing and describing quantitative data distributions of univariate and bivariate data.
Unit 1 - Sequences
Students build multiple representations of arithmetic and geometric sequences that include: tables, graphs, verbal and pictorial descriptions, recursive equations, and explicit equations. They use the representations to solve problems.
Unit 2 - Linear and Exponential Functions
Students build, compare, and interpret linear and exponential functions from multiple representations. They use the representations to solve problems.
Unit 3 - Features of Functions
Students interpret key features of functions from multiple representations including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums. Students evaluate functions.
Unit 4 - Equations and Inequalities
Students build and solve one variable equations and inequalities. Students solve literal equations.
Unit 5 - Connecting Algebra and Geometry
Students develop and apply strategies to find midpoint and distance. Students develop and apply criteria for parallel and perpendicular lines. They use coordinates to algebraically prove geometric theorems.
Unit 6 - Systems of Equations and Inequalities
Students write, graph, and solve systems of equations and inequalities.
Unit 7 - Combining Linear Functions
Students combine linear functions with arithmetic operations to introduce a new function. They explore key features of quadratic functions in factored form.
Unit 8 - Quadratic Functions
Students combine constant, linear, and quadratic terms to create a new form of a quadratic function. They build fluency in building, identifying key features, and analyzing quadratic functions in both factored and standard form. Students solve quadratic equations by factoring, taking square roots, and examining the graph of the corresponding function.
Unit 9 - Modeling Data
Students describe univariate data distributions and compare two or more data sets. Students develop an understanding of and estimate correlation. They use linear models of data to make predictions. Students interpret the slope and intercepts of linear models. They also use residual plots to analyze the appropriateness of a linear model for data.
Student Math Practices
Practice 1: Make sense of problems and persevere in solving them.
Practice 2: Reason abstractly and quantitatively.
Practice 3: Construct viable arguments and critique the reasoning of others.
Practice 4: Model with mathematics.
Practice 5: Use appropriate tools strategically.
Practice 6: Attend to precision.
Practice 7: Look for and make use of structure.
Practice 8: Look for and express regularity in repeated reasoning.