## Unit 1

### Section 1

- Introduction
- Adding Integers Mentally
- Adding Larger Integers Mentally
- Subtracting Integers Mentally
- Subtracting Larger Integers Mentally
- The Multiplication Table
- Useful Multiplication Tricks
- Dividing Integers
- Useful Division Tricks

### Section 2

- Factors
- Common Factors
- Composite and Prime Numbers
- The Greatest Common Factor (GCF)
- Prime Factorization
- Finding the GCF via Prime Factors
- Equivalent Fractions
- Simplifying Fractions
- Fractions Which Represent Whole Numbers

### Section 3

- Least Common Multiple (LCM)
- Finding the LCM via Prime Factors
- Comparing Fractions with Common Denominators
- Comparing Fractions with Common Numerators
- Comparing Fractions (General Case)
- Adding Fractions with Common Denominators
- Subtracting Fractions with Common Denominators
- Adding Fractions with Unlike Denominators
- Subtracting Fractions with Unlike Denominators

### Section 4

- Multiplying Fractions
- Dividing Fractions
- Improper Fractions and Mixed Numbers
- Adding and Subtracting Mixed Numbers
- Multiplying And Dividing Mixed Numbers
- Rounding Decimal Numbers
- Rounding Integers
- Converting Fractions to Decimal Numbers
- Converting Decimal Numbers to Fractions

### Section 5

- Calculating One Percent
- Percentages Below \(100\%\)
- Percentages Above \(100\%\)
- Calculating Percentages
- Order of Arithmetic Operations
- Solving Simple Equations
- Solving Equations with Decimal Numbers and/or Fractions
- From Word Problems to Equations
- Reverse Percentages

## Unit 2

### Section 6

- Calculating Averages
- Ratios and Proportions
- Money (Basics)
- Money (Simple Interest)
- Money (Compound Interest)
- Units of Time
- Units of Mass
- Units of Length, Area, and Volume (Metric)
- Units of Length, Area, and Volume (Imperial)

### Section 7

- Equation of the Line
- From Graphs to Equations
- From Tables to Equations
- Systems of Equations
- Quadratic Equations
- Exponents
- Radicals
- Areas and Perimeters of 2D Shapes
- Volumes and Surface Areas of 3D Objects

### Section 8

- Speed, Time and Distance
- Volume, Density, and Mass
- Mass Concentration
- Volume Concentration
- Basic Quantities of Electricity
- Level 3 Practice Problems
- Level 4 Practice Problems – Set 1/3
- Level 4 Practice Problems – Set 2/3
- Level 4 Practice Problems – Set 3/3

### Section 9

- Level 5 Practice Problems – Set 1/3
- Level 5 Practice Problems – Set 2/3
- Level 5 Practice Problems – Set 3/3
- Level 6 Practice Problems – Set 1/3
- Level 6 Practice Problems – Set 2/3
- Level 6 Practice Problems – Set 3/3
- Level 7 Practice Problems – Set 1/3
- Level 7 Practice Problems – Set 2/3
- Level 7 Practice Problems – Set 3/3

### Section 10

- Practice Exam 1
- Practice Exam 2
- Practice Exam 3
- Practice Exam 4
- Practice Exam 5