## Unit 1

### Section 1

• Introduction
• 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
• Exponents
• 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