# Pre-Algebra Self Paced (Grades 6-8)

**Pre-Algebra**

**Full Year Self Paced Course**

**Grades: 6-8**

**Instructor: Holman**

### Course Description

Students will become familiar with the basic concepts of Pre-Algebra 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: Whole Numbers

Each of the four basic operations with whole numbers—addition, subtraction, multiplication, and division—is modeled and explained. As each operation is covered, discussions of algebraic notation and operation signs, translation of algebraic expressions into word phrases, and the use of the operation in applications are included.

Unit 2: The Language of Algebra

Mathematical vocabulary as it applies to the whole numbers is presented. The use of variables, which distinguishes algebra from arithmetic, is introduced early in the chapter, and the development of and practice with arithmetic concepts use variables as well as numeric expressions. In addition, the difference between expressions and equations is discussed, word problems are introduced, and the process for solving one-step equations is modeled.

Unit 3: Integers

While introducing the basic operations with negative numbers, students continue to practice simplifying, evaluating, and translating algebraic expressions. The Division Property of Equality is introduced and used to solve one-step equations.

Unit 4: Fractions

Fraction circles and bars are used to help make fractions real and to develop operations on them. Students continue simplifying and evaluating algebraic expressions with fractions, and learn to use the Multiplication Property of Equality to solve equations involving fractions.

Unit 5: Decimals

Basic operations with decimals are presented, as well as methods for converting fractions to decimals and vice versa. Averages and probability, unit rates and unit prices, and square roots are included to provide opportunities to use and round decimals.

Unit 6 : Percents

Conversions among percents, fractions, and decimals are explored. Applications of percent include calculating sales tax, commission, and simple interest. Proportions and solving percent equations as proportions are addressed as well.

Unit 7: The Properties of Real Numbers

The properties of real numbers are introduced and applied as a culmination of the work done thus far, and to prepare students for the upcoming chapters on equations, polynomials, and graphing.

Unit 8: Solving Linear Equations

A gradual build-up to solving multi-step equations is presented. Problems involve solving equations with constants on both sides, variables on both sides, variables and constants on both sides, and fraction and decimal coefficients.

Unit 9: Math Models and Geometry

The chapter begins with opportunities to solve “traditional” number, coin, and mixture problems. Geometry sections cover the properties of triangles, rectangles, trapezoids, circles, irregular figures, the Pythagorean Theorem, and volumes and surface areas of solids. Distance-rate-time problems and formulas are included as well.

Unit 10: Polynomials

Adding and subtracting polynomials is presented as an extension of prior work on combining like terms. Integer exponents are defined and then applied to scientific notation. The chapter concludes with a brief introduction to factoring polynomials.

Unit 11: Graphs

This chapter is placed last so that all of the algebra with one variable is completed before working with linear equations in two variables. Examples progress from plotting points to graphing lines by making a table of solutions to an equation. Properties of vertical and horizontal lines and intercepts are included. Graphing linear equations at the end of the course gives students a good opportunity to review evaluating expressions and solving equations.

Textbook & Course Materials

Required Text(s):

Paperback ISBN-13: 978-1-975076-43-6;

Digital ISBN-13: 978-1-951693-19-0

*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 NOT meet for live meetings. All work will be asynchronous. Each week will contain at least one instructional video, plus an additional 4-5 tasks. All work will be in the Google Classroom.

Important Note: This syllabus, along with course assignments and due dates, are subject to change. It is the student’s responsibility to check the Google Classroom for corrections or updates to the syllabus. Any changes will be clearly noted in course announcements.

Student Expectations

You get out what you put in, therefore I expect students to take ownership of their learning, and to put in the practice time as necessary. Students will be expected to practice only as much as they need, and to focus their practice on areas that they need to sharpen skills. Concepts that are easy for them do not need to be practiced as much as the ones that are difficult.