# Pre-Algebra A

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

**For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo**. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe *what* is covered in a course (the scope) and also the *order* in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

## Course Overview

Students will gain an understanding of the properties of real numbers, solve linear equations and inequalities, and use data analysis techniques.

In the first half of the K12 Pre-Algebra sequence, students sharpen their computational and problem-solving skills while learning the language of algebra. Students will:

- Change word phrases and sentences into mathematical expressions and equations
- Solve equations and inequalities
- Continue to develop computational skills using fractions and decimals
- Study circles, polygons, and space figures
- Add, subtract, multiply, and divide positive and negative integers
- Solve problems involving percents, ratios, and proportions
- Draw graphs and compute statistics to communicate about data
- Compute the probability of an event and combined events
- Communicate strategies for solving word problems

## Course Outline

### Operations with Whole Numbers

- Mathematical Expressions, Part 1
- Mathematical Expressions, Part 2
- Properties of Addition and Multiplication
- Inverse Operations
- The Distributive Property
- Order of Operations
- A Problem-Solving Model
- Problem Solving

### Using Variables

- Writing Mathematical Expressions
- Writing Equations
- Writing Inequalities, Part 1
- Writing Inequalities, Part 2
- Solving Equations and Inequalities
- Solving Other Equations and Inequalities
- Problem Solving: Using Mathematical Expressions, Part 1
- Problem Solving: Using Mathematical Expressions, Part 2
- Justifying Statements
- Error Analysis

### The Decimal System

- Exponents and Powers of Ten
- The Decimal System
- Comparing Decimals
- Rounding
- Adding and Subtracting Decimals
- Multiplying or Dividing by a Power of Ten
- Multiplying Decimals
- Dividing Decimals
- Problem Solving: Using Estimation

### Geometric Figures

- Points, Lines, Planes
- Measuring Segments
- Angles and Angle Measure, Part 1
- Angles and Angle Measure, Part 2
- Triangles
- Polygons
- Circles, Part 1
- Circles, Part 2
- Congruent Figures
- Geometric Constructions

### Number Theory

- Finding Factors and Multiples
- Tests for Divisibility
- Square Numbers and Square Roots
- Prime Numbers and Composite Numbers
- Greatest Common Factor
- Least Common Multiple
- Introduction to Sets
- Set Operations

### Fractions: Definitions and Relationships

- Fractions
- Equivalent Fractions
- Fractions and Mixed Numbers, Part 1
- Fractions and Mixed Numbers, Part 2
- Comparing Fractions
- Changing Between Fractions and Decimals

### Operations with Fractions

- Addition and Subtraction of Fractions, Part 1
- Addition and Subtraction of Fractions, Part 2
- Addition and Subtraction of Mixed Numbers, Part 1
- Addition and Subtraction of Mixed Numbers, Part 2
- Multiplication of Fractions
- Division of Fractions
- Multiplication and Division of Mixed Numbers, Part 1
- Multiplication and Division of Mixed Numbers, Part 2
- Ratios, Part 1
- Ratios, Part 2
- Proportions
- Problem Solving: Using Proportion
- Scale Drawing

### Solving Equations

- Equations and Variables
- Equations: Addition and Subtraction
- Equations: Multiplication and Division
- Equations: Decimals and Fractions, Part 1
- Equations: Decimals and Fractions, Part 2
- Combined Operations, Part 1
- Combined Operations, Part 2
- Word Sentences and Equations, Part 1
- Word Sentences and Equations, Part 2
- Translating Problems into Equations, Part 1
- Translating Problems into Equations, Part 2
- Problem Solving, Part 1
- Problem Solving, Part 2

### Percent

- Percents and Fractions, Part 1
- Percents and Fractions, Part 2
- Percents and Decimals
- Computing with Percents, Part 1
- Computing with Percents, Part 2
- Percent of Increase or Decrease, Part 1
- Percent of Increase or Decrease, Part 2
- Discount and Markup, Part 1
- Discount and Markup, Part 2
- Commission and Profit
- Simple Interest
- Compound Interest, Part 1
- Compound Interest, Part 2

### Areas and Volumes

- Areas of Rectangles and Parallelograms, Part 1
- Areas of Rectangles and Parallelograms, Part 2
- Areas of Triangles and Trapezoids
- Areas of Circles, Part 1
- Areas of Circles, Part 2
- Using Symmetry to Find Areas
- Polyhedrons
- Volumes of Prisms, Part 1
- Volumes of Prisms, Part 1
- Volumes of Cylinders, Part 1
- Volumes of Cylinders, Part 2
- The Mass of an Object
- Surface Area, Part 1
- Surface Area, Part 2

### Integers and Graphs

- Negative Numbers
- Adding Integers, Part 1
- Adding Integers, Part 2
- Subtracting Integers, Part 1
- Subtracting Integers, Part 2
- Products with One Negative Factor
- Products with Several Negative Factors
- Quotients of Integers
- Solving Equations
- Graphs of Ordered Pairs
- Graphs of Equations, Part 1
- Graphs of Equations, Part 2
- Introduction to Functions
- Finding a Function Rule

### Statistics and Probability

- Picturing Numerical Data
- Pictographs and Circle Graphs
- Mean, Median, and Range
- Frequency Distributions
- Stem-and-Leaf Plots
- Box-and-Whisker Plots
- Histograms and Frequency Polygons, Part 1
- Histograms and Frequency Polygons, Part 2
- Using Graphs and Plots
- Probability of an Event
- Probability and Odds, Part 1
- Probability and Odds, Part 2
- Combined Probabilities, Part 1
- Combined Probabilities, Part 2

## Lesson Scheduling

60 minutes

You might choose to split the lessons into smaller segments and take breaks as needed. K12’s online lesson tracking system allows you to pick up wherever you left off in any given lesson.

Total Lessons: 180

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### K12 Scope & Sequence documents for each course include:

- Course Overview (as seen above)
- Course Outline
- Lesson Time and Scheduling