: Our Algebra Helper course will prepare our students to study Algebra II by helping them build a solid foundation of Algebra. Focusing on topics that Algebra students traditionally struggle with, our course aims to build the confidence necessary to further our students’ education in mathematics. Particular emphasis is placed on breaking down word problems and systematic problem-solving using everyday language.

: This class is an independent-study course. Students will have all the resources needed to successfully complete the course within the online material. A student helpdesk is available for technical support during the course enrollment.

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**Lesson 1**

Algebra Helper Module 1

Building Blocks: Numbers and Expressions

We will begin by covering the properties of numbers, order of operations, and evaluating simple algebraic expressions.

Number Types and Properties

Order of Operations

Exponent Rules; Positive Integer, Negative Integer, and Zero Powers

Properties of Equality; Solving Linear Equations

Properties of Inequalities; Solving and Graphing Inequalities

Algebra Helper Module 2

Visualization: Graphing and Solving

In this section, we will delve deeper into visual representations of algebraic equations. You will address the concepts of functions and linear equations and learn how to graph and solve them.

Cartesian Coordinate System

Graphing Functions and Relations

Slopes and Intercepts of Linear Equations

Point-Slope, Slope-Intercept, and Standard Forms

Graphing Linear Equations and Systems of Linear Equations

Algebra Helper Module 3

Building Momentum: Polynomials and Complex Expressions/Equations

Building off of more basic algebraic concepts in the first 7 chapters, this section will require you factor and evaluate complex polynomials and quadratics.

Operations with Monomials and Polynomials

Factoring

Square Roots

Factoring Quadratic Expressions

Solving Quadratic Equations: Factoring, Completing the Square, Quadratic Formula

Algebra Helper Module 4

Home Stretch: Rational Expressions and Problem-Solving

This last section will teach you how to work with rational expressions. You will learn techniques to approaching word problems and use the algebraic knowledge you have garnered throughout the course to tackle real-world problems.

Simplifying Rational Expressions

Operations with Rational Expressions

Approaching Word Problems

Rate and Percentage Word Problems

Rate, Time, and Distance Word Problems

Identify how to factor polynomials

Identify and use graphing functions

Examine rational expressions

Define the appropriate method of solving quadratic functions

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