Enroll in Algebra 2 with Dolphin STEM Academy

Course Overview and Goals

Algebra 2, Semester A, is a single-semester course designed to cultivate and periodically assess
your subject-matter knowledge while strengthening your mathematical skills. You will begin
building a solid foundation for the course by focusing on understanding how expressions and
functions can model relationships. The course has a concentrated focus on polynomial, radical,
and rational functions, so you will expand your arithmetic skills to include polynomial, radical,
and rational expressions and equations. You will analyze the key features with tables, graphs,
and equations when they are in function form. With consistent application of these functions
throughout the duration of the course, you will understand how they can model relationships
and solve real-world problems, often utilizing technology.

By the end of this course, you will be able to do the following:

Rewrite polynomial expressions to prove identities and theorems.
Apply properties of complex numbers to quadratic solutions and polynomial identities.
Solve polynomial, radical, and rational equations by using graphs, tables, and algebraic techniques.
Analyze polynomial functions, apply the remainder theorem, and identify zeros and
factorizations in real and complex forms.
Interpret the key features of polynomial, radical, and rational functions using multiple representations.
Create and transform graphs of polynomial, radical, and rational functions.
Find and verify inverse functions.
Model relationships and data with functions and use the models to make predictions and
interpret results.

Scope and Sequence

This document outlines the design of Algebra 2, Semester A, as well as the coverage of the
Common Core State Standards for Mathematics within the course.

Common Core State Standards for Mathematics

UNIT 1: FOUNDATIONS OF ALGEBRA (DAYS 1 – 13)

In this unit, you will write expressions, equations, inequalities, and functions to model
relationships and solve problems.

UNIT 2: POLYNOMIAL EXPRESSIONS (DAYS 14 – 27)

In this unit, you will perform arithmetic operations on polynomials, factor polynomials, and use
polynomial expressions to prove theorems.

UNIT 3: POLYNOMIAL FUNCTIONS AND COMPLEX SOLUTIONS
(DAYS 28 – 42)

In this unit, you will explore the properties of complex numbers and investigate graphs and key
features of polynomial functions.

UNIT 4: RADICAL FUNCTIONS (DAYS 43 – 55)

In this unit, you will explore radical functions, analyze key features of those functions, and use
them to solve problems.

UNIT 5: FUNCTIONS (DAYS 56 – 70)

In this unit, you will examine transformations and inverses of functions. You will also model
data sets and use the models to solve problems.

UNIT 6: RATIONAL EXPRESSIONS AND EQUATIONS (DAYS 71 – 90)

In this unit you will perform operations on rational expressions and use them to solve
problems. You will also analyze key features of rational functions and use them to model realworld relationships.