# Algebra I Monday 11am EST (Grades 8-12)

**Algebra I**

**Full Year Course**

**Instructor: Holman**

**Grades: 8-12**

### Course Description

Students will become familiar with the basic concepts of Algebra 1 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 verify a solution of an equation, solve equations using the Subtraction and Addition Properties of Equality, solve equations using the Multiplication and Division Properties of Equality, solve equations with variables and constants on both sides, use a general strategy to solve linear equations, solve equations with fractions or decimals, solve a formula for a specific variable, and solve linear inequalities.

Unit 3: Math Models

Once students have learned the skills needed to solve equations, they apply these skills to solve word and number problems.

Unit 4: Graphs

Covers the rectangular coordinate system, which is the basis for most consumer graphs. Students learn to plot points on a rectangular coordinate system, 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.

Unit 5: 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.

Unit 6 : Polynomials

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 7: Factoring

Students explore the process of factoring expressions and see how factoring is used to solve certain types of equations.

Unit 8: Rational Expressions and Equations

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

Unit 9: Roots and Radicals

Students are introduced to and learn to apply the properties of square roots, and extend these concepts to higher order roots and rational exponents.

Unit 10: Quadratic Equations

Students study the properties of quadratic equations, solve and graph them. They also learn how to apply them as models of various situations.

### Textbook & Course Materials

Required Text(s):

OpenStax Elementary Algebra 2e

Paperback ISBN-13: 978-1-975076-46-7

Digital ISBN-13: 978-1-951693-20-6

*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 Mondays at 11am EST. An additional 4-5 tasks will also be available each week in the Google Classroom for extra practice.