Pre-algebra lessons

Prerequisites

1. Basic operations
2. Introduction to number theory
3. Greatest common factor
4. Counting factors
5. Least common multiple
6. Prime number 
7. Prime numbers chart
8. Divisibility rules
9. Number theory test

Whole numbers

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

Fractions

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

Decimals

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

Ratio and proportion

1. Introduction to ratio and proportion
2. Ratios
3. Proportions
4. Solving proportions
5. Proportion word problems
6. Scale drawings
7. Working together word problems
8. What is the golden ratio?

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. Associative property
4. Distributive property
5. Properties of zero
6. Identity property of multiplication
7. Properties of equality
8. Properties of inequality

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

Brain teasers

 Basic math puzzles

 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

Applied arithmetic

 Math problem solving strategies

 Common mistakes in math

 Basic math word problems

 Consumer math
 The math you need when you buy a car, pay taxes, etc...

 Baseball math

 Nursing math
 The math that nurses need to know

Interesting and challenging pre-algebra topics

Amicable numbers

Comparison word problems

Units of time

Perfect numbers

Finger multiplication

Classification of numbers

Set notation

Ancient numeration system

 Learn how arithmetic was done in the past

History of fractions

Useful calculators

 Basic math calculator

  Multiply fractions calculator

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