• Unit 1: Functions

    Welcome to algebra! In previous courses, you may have learned about relationships between two quantities that could be graphed with a straight line. In this unit, you will explore nonlinear functions and learn how to describe a function completely. You will see the shapes and behaviors of several different nonlinear functions. This unit also introduces you to sharing your mathematical knowledge with a study team as you work together to solve problems.


  • Unit 2: Linear Relationships

    In this unit, we will focus on the starting value and growth of linear functions, how to multiply expressions, describing a dependent relationship, called the association, and using the association to make a prediction given real-world applications. You will explore the connections between the multiple representations of linear functions: tables, graphs, equations, and situations; and come to a deeper understanding of slope as a rate of change. You will solve equations that contain products and multi-variables. This unit will also introduce how to utilize scatterplots of data to create lines and curves that model the data, and then use those models to make predictions.

     


  • Unit 3: Systems of Linear Equations & Inequalities

    In this unit, students expand and deepen their prior understanding of expressions, equations, and inequalities. Students reason about equations, inequalities, and systems of equations and inequalities as ways to represent constraints, and they reason about the process of solving equations and inequalities in terms of finding values that satisfy those constraints. The process of finding solutions may involve rewriting and manipulating equations. Students learn to explain and validate the steps to do so. Throughout the unit, students practice reasoning about situations and mathematical representations, interpreting expressions and numbers in context, and using mathematical tools to model quantities and relationships.

     


  • Unit 4: Quadratic Functions

    In this unit, you will study quadratic functions systematically. You will look at patterns which grow quadratically and contrast them with linear and exponential growth. You will then examine other quadratic relationships via tables, graphs, and equations, gaining appreciation for some of the special features of quadratic functions and the situations they represent. You will analyze equivalent quadratic expressions and how these expressions help to reveal important behavior of the associated quadratic function and its graph. You will also gain an appreciation for the factored, standard, and vertex forms of a quadratic function and use these forms, as well as your graphing calculator, to solve problems.


  • Unit 5: Sequences & Exponential Functions

    In this unit, students are introduced to exponential relationships. Students learn that exponential relationships are characterized by a constant quotient over equal intervals and compare them to linear relationships which are characterized by a constant difference over equal intervals. They encounter contexts with quantities that change exponentially. These contexts are presented verbally and with tables and graphs. They construct equations and use them to model situations and solve problems. They learn that the output of an increasing exponential function is eventually greater than the output of an increasing linear function for the same input.