# Pre-Algebra: A Complete Middle School/High School Curriculum

## What you'll learn

- Accurately identify, add, subtract, multiply, and divide real numbers
- Convert between fractions, decimals, and percents
- Understand exponents, bases, and powers
- Convert to and from scientific notation
- Identify variables
- Combine like terms
- Solve equations using addition, subtraction, multiplication, and division
- Solve multi-step equations
- Solve equations using the distributive property
- Add and subtract matrices
- Multiply a scalar quantity through a matrix
- Identify and use the associative, commutative, distributive, identity, inverse, and zero properties
- Find the perimeter of squares, rectangles, and triangles
- Find the area of squares, rectangles, and triangles
- Calculate simple interest using the simple interest formula
- Convert between Celsius and Fahrenheit
- Find distance, rate, and time using the provided formula
- Use ratios, rates, and proportions to solve equations
- Identify direct and inverse variation problems
- Understand measures of central tendency
- Create and analyze box-and-whisker plots
- Describe the difference between theoretical and experimental probability
- Identify functions using the definition of functions
- Plot points using function notation
- Compose functions
- Determine inverse functions and relations
- Find slope of a linear function
- Graph linear functions
- Identify zero and undefined slopes
- Write linear equations in slope-intercept form and point-slope form
- Graph systems of linear equations
- Graph linear inequalities
- Graph systems of linear inequalities
- Use the substitution method to solve systems of linear equations
- Use the elimination method to solve systems of linear equations

## Requirements

- Students will need access to the internet
- Students will need headphones or speakers to hear the audio
- Students will need a PDF viewer and/or a printer to view and/or print out the supporting materials

## Description

This course is an intricately-designed, complete Pre-Algebra curriculum. It will prepare students for middle school or high school Pre-Algebra.

The units, in order, are:

- Real Numbers
- Introduction to Fractions
- Fractions, Decimals, Percents, & Absolute Value
- Expressions
- Matrices
- Properties
- Solving Equations
- Ratios, Rates, & Proportions
- Formulas
- Introduction to Functions
- Graphing Linear Functions
- Graphing Systems of Equations & Inequalities
- Statistics & Probability

These 13 units incorporate all the topics you will see in pre-algebra.

While this course was designed to cater to pre-algebra students, those studying for the High School Equivalency exam (GED, HiSET, or TASC) can also benefit from the information provided in this course.

Similarly, teachers who would like supplemental material for their pre-algebra classroom should take this course. If you are a teacher, feel free to download and use these PDFs in your own classrooms.

## Who this course is for:

- Students should take this course if they have already taken a foundational mathematics course
- Pre-Algebra teachers who would like supplemental material should take this course
- Adult Education students who are studying for the HSE/GED/HiSET/TASC should take this course

## Course content

- Preview10:08

## Instructor

I am a High School Math and High School Equivalency teacher in Las Vegas, Nevada. I also teach math and math methods courses at various colleges and universities in the Las Vegas Valley area.

I have degrees in math and science education, and recently obtained my Ph.D. in Curriculum & Instruction: Mathematics Education from UNLV.