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