## Topic outline

### Audience

This program could be part of the foundational math skills for many industry certificates. Students would also benefit from these courses to help them review and prepare for required courses in math that are part of a certificate or degree program. Instructional designers might also consider using this course in their developmental programs.

### Welcome to Pre-Algebra

This free and open course curriculum was developed by more than 700 U.S. community colleges in partnership with local industries to prepare students for employment as part of the U.S. Department of Labor’s $1.9 billion Trade Adjustment Assistance Community College and Career Training (TAACCCT) grant program.**Expert-Designed Course**This course was developed by subject matter experts, in partnership with local industries, to ensure the curriculum is aligned with the skills needed to gain employment. To ensure quality, this course was evaluated by third-party experts.**Free and Open Materials**As a student, you are free to explore and use these online materials to learn about the subject. As an instructor, you are free to adopt and adapt these online materials in your teaching of the subject. SkillsCommons materials have a Creative Commons license, which means you can download material directly from SkillsCommons to your computer. You are free to share, copy and redistribute the material in any medium or format you choose in accordance with the terms of use.The intent of this material is to help evaluate content files submitted to SkillsCommons. The original submission may contain files in different formats. For example, a Microsoft Word document in the original may appear here as a PDF to facilitate previewing. If the content here is promising, please visit the original submission in SkillsCommons.

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### Whole Numbers

Pre-Algebra Module 1: Whole Numbers includes: Pre-Assessment Module 1 Preassessment Introduction to Whole Numbers Section 1: Order Relations of Whole Numbers Section 2: Addition and Subtraction of Whole Numbers Section 3: Multiplication and Division of Whole Numbers Section 4: Order of Operations Section 5: Solve Equations with Whole Numbers Post-Assessment.

### Integers

Students will use properties of integers to solve simple equations and application problems. Includes: Pre-Assessment Integers – Introduction Section 1: Integers and the Number Line Section 2: Operations with Integers Section 3: Order of Operations with Integers Section 4: Solving Linear One Variable Equations Post-Assessment.

### Fractions

Pre-Algebra Module 3: Fractions Students will use properties of fractions to solve simple equations and application problems. Module includes: Pre-Assessment Module 3: Introduction Section 1: Factorization Section 2: Fraction Notation Section 3: Fractions Involving Variables Section 4: Multiplication and Division of Fractions Section 5: Solving Equations Involving Multiplication and Division of Fractions Post-Assessment

### Addition and Subtraction with Fractions

Pre-Algebra Module 4: Addition and Subtraction with Fractions. Learning Objective: Students will use techniques of finding Least Common Denominators (LCD) in order to add or subtract proper fractions and mixed numbers. Module includes: Pre-Assessment, Module 4: Introduction, Section 1: Adding and Subtracting Fractions, Section 2: Fractions and Order of Operations, Section 3: Equations Involving Fractions, and Post-Assessment.

### Decimal Numbers

Pre-Algebra Module 5: Decimal Numbers. Learning Objective: Students will use place values and powers of 10 to set up and solve simple equations and applications using decimals. Module includes: Pre-Assessment, Module 5: Introduction, Section 1: Decimals and Place Value, Section 2: Basic Arithmetic Operations with Decimals, Section 3: Scientific Notation, Section 4: Solving Linear Equations, and Post-Assessment.

### Real Numbers

Pre-Algebra Module 6: Real Numbers includes: Pre-Assessment, Module 6: Introduction, Section 1: Radical Expressions, Section 2: Comparing Real Numbers, Section 3: Properties of Real Numbers, Section 4: Polynomials in Multi-Variables, Post-Assessment.

### Measurement and Proportion

Pre-Algebra Module 7: Measurement and Proportion includes: Pre-Assessment, Module 7: Introduction, Section 1: Ratios and Proportion, Section 2: English Standard System of Measurement, Section 3: Metric System of Measurement, Section 4: Converting Measurements Between Systems of Measurement, Section 5: Variation, Post-Assessment.

### Percent

Pre-Algebra Module 8: Percent includes: Pre-Assessment, Module 8: Introduction, Section 1: Introduction to Percents, Section 2: Basic Percent Equations, Section 3: Percent Increase, Decrease, Mark-up, and Discount, Section 4: Simple Interest, Post-Assessment.