Enroll in Algebra 1 with Dolphin STEM Academy

Course Overview and Goals

Algebra 1, Semester B, is a single-semester course designed to build, develop, and periodically
assess your subject-matter knowledge while strengthening your mathematical skills. The major
topics of this semester are quadratic and exponential relationships. You will learn to perform
operations on polynomials and factor them. You will examine quadratic relationships in detail
by writing and graphing quadratic equations. You will also model real-world situations with
quadratic functions and solve quadratic equations using a variety of methods. You will
investigate exponential relationships and apply exponential models to describe and make
predictions about real-world situations. You will solve linear-quadratic and linear-exponential
functions. At the end of the semester, you will compare different function types graphically and
algebraically.

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

Determine the sums, differences, and products of polynomials.
Apply factoring techniques and distribution to rewrite quadratic expressions.
Graph and transform quadratic functions on the coordinate plane.
Identify and apply a quadratic data model to make predictions and solve problems.
Solve quadratic equations in one variable by inspection, taking square roots, factoring,
completing the square, and using the quadratic formula.
Graph exponential functions and identify their key features.
Write and apply exponential functions to model situations in the real world.
Identify and analyze key features of piecewise and absolute value functions.
Solve systems of linear and quadratic equations graphically and algebraically.
Solve systems of linear and exponential equations graphically, tabularly, and by applying
successive approximation.

Scope and Sequence

This document outlines the design of Algebra 1, Semester B as well as the coverage of the
Common Core State Standards within the course.

Common Core State Standards for Mathematics

UNIT 1: POLYNOMIALS (DAYS 1 – 21)

In this unit, you will the develop the tools you need to solve and model complex problems
using polynomials.

UNIT 2: QUADRATIC RELATIONSHIPS (DAYS 22 – 38)

In this unit, you will identify key attributes of quadratic relationships, explore transformations,
and apply quadratic functions to model real world situations.

UNIT 3: SOLVING QUADRATIC EQUATIONS (DAYS 39 – 54)

In this unit, you will practice a variety of techniques for solving quadratic equations, including
inspection, taking square roots, factoring, completing the square, and applying the quadratic
formula.