# Algebra 2 Tuesday 9am EST (Grades 9-12)

**Algebra 2**

**Full Year Course**

**Grades 9-12**

**Instructor: Holman**

### Course Description

Students will become familiar with the basic concepts of Algebra 2 in a step-by-step approach and apply these concepts as needed to mathematical problems. Students will focus on learning WHY the math concepts work in addition to how to utilize formulas and mathematical procedures.

Scope & Sequence

Unit 1: Foundations

Reviews arithmetic operations with whole numbers, integers, fractions, and decimals, to give the student a solid base that will support their study of algebra.

Unit 2: Solving Linear Equations and Inequalities

Students learn to solve linear equations using the Properties of Equality and a general strategy. They use a problem-solving strategy to solve number, percent, mixture and uniform motion applications. Solving a formula for a specific variable, and also solving both linear and compound inequalities is presented.

Unit 3: Graphs and Functions

Covers the rectangular coordinate system where students learn to plot graph linear equations in two variables, graph with intercepts, understand slope of a line, use the slope-intercept form of an equation of a line, find the equation of a line, and create graphs of linear inequalities. The chapter also introduces relations and functions as well as graphing of functions.

Unit 4: Systems of Linear Equations

Covers solving systems of equations by graphing, substitution, and elimination; solving applications with systems of equations, solving mixture applications with systems of equations, and graphing systems of linear inequalities. Systems of equations are also solved using matrices and determinants.

Unit 5: Polynomials and Polynomial Functions

Students learn how to add and subtract polynomials, use multiplication properties of exponents, multiply polynomials, use special products, divide monomials and polynomials, and understand integer exponents and scientific notation.

Unit 6 : Factoring

Students learn the process of factoring expressions and see how factoring is used to solve quadratic equations.

Unit 7: Rational Expressions and Functions

Students work with rational expressions, solve rational equations and use them to solve problems in a variety of applications, and solve rational inequalities.

Unit 8: Roots and Radicals

Students simplify radical expressions, rational exponents, perform operations on radical expressions, and solve radical equations. Radical functions and the complex number system are introduced.

Unit 9: Quadratic Equations

Students use various methods to solve quadratic equations and equations in quadratic form and learn how to use them in applications. Students will graph quadratic functions using their properties and by transformations.

Unit 10: Exponential and Logarithmic Functions

Students find composite and inverse functions, evaluate, graph, and solve both exponential and logarithmic functions.

Unit 11: Conics

The properties and graphs of circles, parabolas, ellipses and hyperbolas are presented. Students also solve applications using the conics and solve systems of nonlinear equations.

Unit 12: Sequences, Series, and the Binomial Theorem

Students are introduced to sequences, arithmetic sequences, geometric sequences and series and the binomial theorem.

### Textbook & Course Materials

Required Text(s):

OpenStax Intermediate Algebra 2e

Paperback ISBN-13: 978-1-975076-48-1

Digital ISBN-13: 978-1-951693-24-4

*You may either purchase the paperback/hardback copy of the text and/or use the digital free copy.

Recommended Texts & Other Readings:

Other readings/activities/resources will be made available through Google Classroom.

### Course Requirements

Internet connection (DSL, LAN, or cable connection desirable)

Access to Google Classroom

A notebook to keep track of assignments/activities

Pen or pencil, colored pencils or highlighters, and paper/notebook brought to each live class.

Optional: A printer to print off pdfs of activities/assignments

### Online Course Structure

This is a fully-online course. All course activities and resources can be found through Google Classroom. Class will meet for a live Zoom once a week on Tuesdays at 9am EST. An additional 4-5 tasks will also be available each week in the Google Classroom for extra practice.