Pre-algebra lessons

Whole numbers

  1. Whole numbers
  2. Ways of writing whole numbers
  3. Place value
  4. Place value chart
  5. Reading and writing whole numbers
  6. Adding whole numbers
  7. Subtracting whole numbers
  8. Multiplying whole numbers
  9. Lattice method for multiplication
  10. Multiply using partial quotients
  11. Russian peasant multiplication
  12. Duplication algorithm for multiplication
  13. Dividing whole numbers
  14. Divide using repeated subtraction
  15. Divide using partial quotients
  16. Estimate quotients using multiples
  17. Use counters to find the quotient and remainder
  18. How to interpret the remainder
  19. Finding the average
  20. weighted mean
  21. Harmonic mean
  22. Even and odd numbers


  1. Introduction to fractions
  2. Types of fractions
  3. Comparing fractions
  4. Adding fractions
  5. Adding mixed numbers
  6. Subtracting fractions
  7. Multiplying fractions
  8. Multiplying mixed numbers
  9. Dividing fractions
  10. Complex fractions
  11. How to estimate fractions
  12. Rounding fractions


  1. Introduction to decimals
  2. Equivalent decimals
  3. Ways of writing decimals
  4. Decimals place value
  5. Writing decimals in words
  6. Comparing decimals 
  7. Rounding decimals
  8. Adding decimals
  9. Subtracting decimals
  10. Decimals to fractions
  11. Fractions to decimals
  12. Converting repeated decimals to fractions

Ratio and proportion

  1. Introduction to ratio and proportion
  2. Ratios
  3. Difference between a ratio and a fraction
  4. Proportions
  5. Solving proportions
  6. Solving multi-step proportions
  7. Scale drawings
  8. Working together word problems
  9. What is the golden ratio?


  1. Introduction to percents
  2. Meaning of percent
  3. Finding a percentage
  4. Formula for percentage
  5. Percent to decimal 
  6. Decimal to percent
  7. Percent of increase
  8. Percent of decrease
  9. Greatest possible error
  10. Calculate sales tax
  11. Simple interest
  12. Price discount
  13. Mortgage loans

Basic number properties

  1. Introduction to number property
  2. Commutative property
  3. Associative property
  4. Distributive property
  5. Properties of zero
  6. Identity property of multiplication
  7. Summary of the properties of real real numbers
  8. Properties of equality
  9. Properties of inequality
  10. Density property
  11. How to find the inverse of a number

Rounding and estimating

  1. Introduction to rounding and estimating
  2. Rounding whole numbers
  3. Estimating a sum
  4. Front end estimation
  5. Compatible numbers
  6. Cluster estimation


  1. Measurement benchmarks
  2. Metric measurement
  3. Metric conversion
  4. Metric conversion factor
  5. Conversion between metric units

Types of Graphs

  1. Types of graphs
  2. Bar graphs
  3. Double bar graphs
  4. Line graphs
  5. Circle graphs
  6. Scatter plots
  7. Pictograph

Brain teasers

 Basic math puzzles 

 What is a leap year?
 This topic requires only basic math. However, the level of sophistication will 
amaze you!

 Fun online math games
 A very interactive way to learn math and have fun at the same time.

 Basic mathematics games
 More interactive math games

 Cool math tricks
  Learn to solve arithmetic problems fast


  • Learn to add, subtract, multiply and divide whole numbers, decimals, fractions.
  • Use proportion and percents to solve real life problems
  • Round and estimate numbers
  • Explore metric and customary units
  • Solve tricky arithmetic problems
  • Solve word problems
  • And more!

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