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.

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
Omega-3 fats & intelligence

Elementary

Kindergarten math
Using a 100-bead abacus to teach elementary math - articles from my blog
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
Recommendations for pre-algebra books

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 & Division Lessons

Multiplication

• 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

• 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

• 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