# Pre-Algebra B

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 expand their understanding of the properties of real numbers, solve linear equations and inequalities, and use data analysis techniques.

In the second half of the K12 Pre-Algebra sequence, students continue to build their algebra skills. Students will:

- Compute basic trigonometric ratios
- Change word phrases and sentences into mathematical expressions and equations
- Add, subtract, multiply, and divide positive and negative rational numbers in decimal and fraction form
- Use several transformations to solve equations and inequalities
- Study points, lines, planes, polygons, and circles
- Solve problems involving percents, ratios, and proportions
- Graph equations, inequalities, and systems of equations
- Calculate areas of plane figures
- Calculate volumes and surface areas of space figures
- Apply the Pythagorean Theorem to solve triangles and compute basic trigonometric ratios
- Calculate statistical measures and expected value
- Compute the probability of overlapping, independent, and dependent events
- Add, subtract, multiply, and divide polynomials and monomials
- Communicate strategies for solving word problems

## Course Outline

### Introduction to Algebra

- Mathematical Expressions
- Order of Operations
- Equations
- Inequalities
- Inverse Operations, Part 1
- Inverse Operations, Part 2
- Writing Expressions for Word Phrases
- Equations and Inequalities for Word Sentences
- Problem-Solving Strategies

### The Decimal System

- Exponents
- The Decimal System
- Rounding
- Basic Properties
- Simplifying Expressions, Part 1
- Simplifying Expressions, Part 2
- Problem-Solving Model

### Positive and Negative Numbers

- The Integers
- Decimals on the Number Line
- Adding Positive and Negative Numbers, Part 1
- Adding Positive and Negative Numbers, Part 2
- Subtracting Positive and Negative Numbers, Part 1
- Subtracting Positive and Negative Numbers, Part 2
- Multiplying Positive and Negative Numbers
- Dividing Positive and Negative Numbers, Part 1
- Dividing Positive and Negative Numbers, Part 2
- Negative Integers as Exponents
- Scientific Notation

### Rational Numbers

- Positive and Negative Fractions
- Equivalent Fractions, Part 1
- Equivalent Fractions, Part 2
- Least Common Denominators
- Adding and Subtracting Fractions
- Multiplying Fractions
- Dividing Fractions, Part 1
- Dividing Fractions, Part 2
- Fractions and Decimals

### Equations and Inequalities

- Properties of Equality
- Equivalent Equations
- Solving Equations with Addition and Subtraction
- Solving Equations with Multiplication and Division
- Using Several Transformations, Part 1
- Using Several Transformations, Part 2
- Equivalent Inequalities
- Solving Inequalities by Several Transformations, Part 1
- Solving Inequalities by Several Transformations, Part 2
- Translating Equations into Problems
- Translating Problems into Equations
- Error Analysis, Part 1
- Error Analysis, Part 2

### Geometry

- Points, Lines, and Planes
- Circles
- Angles
- Special Angles
- Parallel Lines
- Triangles
- Special Quadrilaterals
- Polygons and Their Perimeters
- Congruent Polygons

### Ratio, Proportion, and Percent

- Ratio and Proportion
- Problem Solving: Using Rates
- Scale Drawings
- Percents, Fractions, and Decimals
- Working with Percents
- Percent of Increase and Decrease
- Commissions, Discounts, Royalties
- Percents and Proportions
- Interest, Part 1
- Interest, Part 2

### The Coordinate Plane

- The Coordinate Plane, Part 1
- The Coordinate Plane, Part 2
- Equations in Two Variables, Part 1
- Equations in Two Variables, Part 2
- Graphing Equations in the Coordinate Plane, Part 1
- Graphing Equations in the Coordinate Plane, Part 2
- Graphing a System of Equations, Part 1
- Graphing a System of Equations, Part 2
- Problem Solving, Part 1
- Problem Solving, Part 2
- Graphing Inequalities, Part 1
- Graphing Inequalities, Part 2
- Introduction to Functions
- Function Graphs

### Areas and Volumes

- Areas of Rectangles and Triangles, Part 1
- Areas of Rectangles and Triangles, Part 2
- Areas of Quadrilaterals
- Areas of Circles
- Areas of Symmetric Figures
- Volumes of Prisms and Cylinders, Part 1
- Volumes of Prisms and Cylinders, Part 2
- Volumes of Pyramids and Cones, Part 1
- Volumes of Pyramids and Cones, Part 2
- Surface Areas of Prisms and Cylinders
- Volumes and Surface Areas of Spheres
- Mass and Density, Part 1
- Mass and Density, Part 2

### Square Roots and Right Triangles

- Square Roots
- Calculating Square Roots
- The Pythagorean Theorem, Part 1
- The Pythagorean Theorem, Part 2
- Similar Triangles
- Special Right Triangles, Part 1
- Special Right Triangles, Part 2
- Trigonometric Ratios, Part 1
- Trigonometric Ratios, Part 2
- Solving Right Triangles, Part 1
- Solving Right Triangles, Part 2

### Probability

- Permutations
- Combinations
- The Probability of an Event
- Odds in Favor and Odds Against
- Mutually Exclusive Events
- Overlapping Events
- Independent Events
- Dependent Events
- Estimating Probabilities

### Statistics

- Bar Graphs
- Line Graphs
- Statistical Measures
- Frequency Distributions
- Stem-and-Leaf Plots
- Box-and-Whisker Plots
- Histograms and Frequency Polygons
- Expected Value of a Random Variable

### Polynomials

- Polynomial Expressions
- Adding and Subtracting Polynomials
- Multiplying and Dividing Monomials
- Multiplying and Dividing a Polynomial by a Monomial
- Multiplying Polynomials, Part 1
- Multiplying Polynomials, Part 2
- Dividing Polynomials

## Number of Lessons and 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