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Math Lessons and Teaching Tips

All of these lessons and articles are written by me... Maria Miller. I hope they help you in your math teaching. Please also check my blog for math teaching related articles and essays.

Jump to lessons and articles about:

All grades

Four habits of highly effective math teaching
Is your curriculum coherent?
How to motivate & prevent math anxiety
How to help a student who is behind in math
Keeping math skills sharp in the summer
Using manipulatives - articles from my blog
Do's and don'ts of teaching problem solving
Solving word problems & setting up equations
Problem solving articles from my blog
Living math - articles from my blog
ADD/ADHD and diet

Elementary

Kindergarten math
Using a 100-bead abacus to teach elementary math - articles from my blog
How to teach children to recognize coins
Elementary word problems
Using calculator in elementary grades?
Calculator related articles from my blog
Teaching multiplication - articles from my blog
Multiplication tables - articles from my blog
Teaching division - articles from my blog
Math facts - articles from my blog

Middle

Balance illustrates equation solving
Algebraic thinking related articles from my blog

High School

Teaching algebra - articles from my blog
Why high school geometry is difficult
Help with high school geometry
What is proof?
Two-column proof vs. paragraph proof
Proving is a process - logarithm problem
Fascinating irrational numbers
Proof that square root of 2 is irrational
Rational numbers are countable
How does calculator find values of sine?
Fibonacci numbers and golden section
Why does the square root algorithm work?

Place Value Lessons

• Teaching tens and ones
• Tens and ones practice
• Counting in groups of ten
• Skip-counting (0-100)
• Comparing (0-100)
• Cents and dimes
• Place Value - hundreds
• Comparing (0-1000)
• Place value - thousands
• Comparing thousands
• Rounding
• Place value - big numbers

Add & Subtract Lessons

• Missing addend concept (0-10)
• Addition facts with 6
• Addition & subtraction connection

Within 0-100

• Add/subtract whole tens (0-100)
• Easy principle of adding ones
• Fact families for basic facts
• Sum over next whole ten
• Add 2-digit numbers mentally
• Subtract 2-digit numbers mentally
• Carrying to tens
• Borrowing from tens

Within 0-1000

• Rounding to nearest ten
• Carry two times
• Borrow from hundreds
• Borrow two times
• Borrow over zero tens

Multiplication Lessons

Teaching multiplication - articles from my blog
Multiplication tables - articles from my blog

• Multiplication concept as repeated addition
• Multiplication on number line
• Commutative
• Multiply by zero
• Word problems
• Order of operations
• How to drill multiplication tables
• Multiplying by whole tens
  
• Multiplying by 100
  
• Distributive property
• Multiplying in columns the easy way
  
• Multiplying in columns
  
• Estimation when multiplying
  

Division Lessons

Teaching division - articles from my blog

• Division as making groups
• Division/multiplication connection
• Division is repeated subtraction
• Zero and one in division
• Not exact division/remainder
• Divisibility
• Long division as repeated subtraction
• Long division and why it works
• Remainder & long division
• Long division 0-10,000
• Two-digit divisor
• Divisibility within 0-1000
• Divisibility rules
• Factoring
• Sieve of Eratosthenes

Fraction Lessons

Why are fractions so difficult?
Teaching fractions - articles from my blog

• Understanding fractions
• A fractional part of group
• Mixed numbers
• Mixed number to fraction
• Fraction to mixed number
• Adding like fractions
• Equivalent fractions
• Adding unlike fractions 1
• Adding unlike fractions 2: Finding the common denominator
• Adding mixed numbers
• Subtracting mixed numbers
• Subtracting mixed numbers 2
• Measuring in inches
• Comparing fractions
• Simplifying fractions
• Multiply Fractions by Whole Numbers
• Multiply Fractions by Fractions
• Multiplication and Area
• Simplify Before Multiplying
• Divide Fractions by Whole Number
• How Many Times Does It Fit?
• Reciprocal Numbers
• The Shortcut for Fraction Division
• Dividing Mixed Numbers

Geometry Lessons

• Lines, rays, and angles
• Measuring angles
• Angles with the same vertex
• Parallel & perpendicular
• Triangles
• Altitude of a triangle
• Angles in a triangle
• Equilateral & isosceles triangles
• Circles
• Compass ruler constructions
• Symmetry
• Polygons
• Area of rectangles
• Area of right triangles
• Area of parallelograms
• Area of triangles

Decimals Lessons

• Tenths
• Tenths and place value
• Add decimals with tenths
• Multiply decimals with tenths
  
• Hundredths
• Hundredths as a place value
• Add decimals with hundredths
• Add decimals with hundredths 2
• Multiply with hundredths
  Money problems.
• Comparing decimals
• Multiply decimals by decimals
• Divide decimals
• Divide decimals by decimals
• Multiply and divide decimals by 10, 100, and 1000