**Pre-Algebra**

The comprehensive contents from this book, combined with Odigia’s Teaching and Learning Tools have everything you need to engage, collaborate, track and assess your students.

**This course includes:**

**315**

### practice questions

**59**

### engagement activities

**Helping Teachers Do What They Do Best: Teach**

**Customize**

Use our courses as is or easily customize them to fit your teaching style and the needs of your students. Hide and show existing content, assessments and add your own favorite resources. Everything your students need, in one place!

**Engage and Collaborate**

Odigia combines learning materials, discussions, and tools to create a familiar social experience for students allowing you to easily connect and redirect students attention.

**Track**

See how much time students are spending on different areas of the course, which areas are creating the most amount of engagement and identify topics the students are struggling with. Flag and provide feedback on assignments to proactively meet individual students' needs.

**Assess**

Game theory allows students to monitor their progress visually and motivates them to stay on track. Students can see exactly what activities they need to complete, which ones have been flagged and compare their progress against the overall class.

### Pre-Algebra Course Outline

### How do whole numbers relate to pre-algebra?

Concepts Covered:

- What are whole numbers?
- How are whole numbers added?
- How are whole numbers subtracted?
- How are whole numbers multiplied?
- How are whole numbers divided?

### What is the language of algebra?

Concepts Covered:

- How is the language of algebra used?
- How do we evaluate, simplify, and translate expressions?
- How are properties of equality equations solved with subtraction and addition?
- How are multiples found in factors?
- How does prime factorization relate to the least common multiple?

### How are integers related to pre-algebra?

Concepts Covered:

- What are integers?
- How are integers added?
- How are integers subtracted?
- How are integers multiplied and divided?
- How does the division property of equality help us solve equations using integers?

### How are fractions related to pre-algebra?

Concepts Covered:

- How are fractions visualized?
- How are fractions multiplied and divided?
- How are mixed numbers and complex fractions multiplied and divided?
- How are fractions with common denominators added and subtracted?
- How are fractions with different denominators added and subtracted?
- How are mixed numbers added and subtracted?
- How do we solve equations with fractions?

### How are decimals related to pre-algebra?

Concepts Covered:

- What are decimals?
- What are decimal operations?
- What is the difference between decimals and fractions?
- How can equations with decimals be solved?
- How do averages relate to probability?
- What is the difference between ratios and rate?
- How do we simplify and use square roots?

### What are percents?

Concepts Covered:

- Why do we need to understand percents?
- What are the general applications to solve percents?
- What are ways to solve sales tax, commission, and discount applications?
- How are simple interest applications solved?
- How do we solve proportions with their applications?

### What are the properties of real numbers?

Concepts Covered:

- What is the difference between rational and irrational numbers?
- What is the difference between commutative and associative properties?
- What is the distributive property?
- What is the difference between the properties of identity, inverses, and zeroes?
- What are the systems of measurement?

### What are ways to solve linear equations?

Concepts Covered:

- How do we solve properties of equality equations using subtraction and addition?
- How do we solve properties of equality equations using the division and multiplication?
- How do we solve equations with variables and constants on both sides?
- How do we solve equations with fraction or decimal coefficients?

### What are some math models in geometry?

Concepts Covered:

- How do we use a problem solving strategy?
- What are ways to solve money applications?
- How does the properties of angles and triangles relates to the pythagorean theorem?
- What is the difference between properties of rectangles, triangles, and trapezoids?
- How do we solve geometric applications with circles and irregular figures?
- How do we use geometric applications on volume and surface area?
- What formula is used to solve a specific variable?

### What are polynomicals?

Concepts Covered:

- How do we add and subtract polynomials?
- Why do we need to use multiplication properties of exponents?
- How are polynomials multiplied?
- How are monomials divided?
- What is the difference between integer exponents and scientific notation?
- How are polynomials factored?

### Why are graphs relevant?

Concepts Covered:

- How do we use the rectangular coordinate system?
- How are linear equations graphed?
- How are intercepts graphed?
- Why do we need to understand slope of a line?

Pre-algebra is designed to meet scope and sequence requirements for a one-semester pre-algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

**About the authors:**

## Senior Contributing Authors

**Lynn Marecek, S**anta Ana College**
MaryAnne Anthony-Smith, **Formerly of Santa Ana College