Pre-algebra lessons

Prerequisites

1. Basic operations
2. Addition table
3. Subtraction table
4. Multiplication table
5. Finger multiplication
   
6. How to use a four-function calculator
7. How to learn math
8. Units of time
9. Names of very big numbers

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

Fractions

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
13. History of fractions
    

Decimals

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?
10. Direct proportion
11. Inverse proportion

Percentage

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. Commutative property in real life
4. Associative property
5. Distributive property
6. Properties of zero
7. Identity property of multiplication
8. Summary of the properties of real real numbers
9. Properties of equality
10. Properties of inequality
11. Density property
12. 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

Measurements

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

Number theory

1. Introduction to number theory
2. Greatest common factor
3. Counting factors
4. How to find the factors of 20
5. Least common multiple
6. Prime number 
7. Prime numbers chart
8. Divisibility rules
9. Amicable numbers
   
10. Deficient numbers
    
11. Perfect numbers
12. Number theory test

Introduction to set theory

1.  Set notation
2.  Set-builder notation
3.  Subset of a set
4.  Union of sets
5.  Union of sets calculator
6.  Intersection of sets
7.  Intersection of sets calculator
8.  Complement of a set
9.  Difference of sets
10.  3-circle Venn diagram
11.  Venn diagram word problems

An interesting and challenging pre-algebra topic

Ancient numeration system
Interesting topic for students in elementary school and middle school. How did people write numbers in the past?

Basic math formulas 
A list of important formulas that you need to know in pre-algebra