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Arizona Math Standard: 4.NF.B.3.b

Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 2/8 + 1/8; 2 1/8 = 1 + 1 + 1/8 + or 2 1/8 = 8/8 + 8/8 + 1/8).

Broken Calculator: Simplifying Fractions Gr 3-7
What’s the Pattern? Fraction Addition
What’s the Pattern? Fraction Addition
Can your students figure out how to add fractions by looking for a pattern?
Gr 1-5
Find The Pattern: Multiply Fractions
Find The Pattern: Multiply Fractions
What if you set the stage for students to discover how to multiply fractions?
Gr 3, 4, 5, 7
How Many Ways: Fraction Subtraction 234
How Many Ways: Fraction Subtraction 234
How many different ways can you make this fraction subtraction statement true using only the digits one through nine?
Gr 1, 3, 4, 5, 7
How Many Ways: Fraction Addition 234
How Many Ways: Fraction Addition 234
How many different ways can you make this fraction addition statement true using only the digits one through nine?
Gr 1, 3, 4, 5, 7
How Many Ways: Fractions Divide Equals 2/3
How Many Ways: Fractions Divide Equals 2/3
One equation. Digits one through nine. How many ways can you make it work?
Gr 3-7
How Many Ways: Multiply Fractions Equal 1/4
How Many Ways: Multiply Fractions Equal 1/4
One equation. Digits one through nine. How many ways can you make it work?
Gr 3, 4, 5, 7
How Many Ways: Fraction Subtraction Equals 1/2
How Many Ways: Fraction Subtraction Equals 1/2
How many different ways can you make this math statement true using only the digits one through nine?
Gr 1, 3, 4, 5, 6, 7
Fractions: Decompose and Recompose
Fractions: Decompose and Recompose
What if we took a fraction apart, then took those pieces apart, then recombined them, and then recombined those, arriving back to the original fraction?
Gr 1-4
Numerator or Denominator: Which has more power in a fraction?
Numerator or Denominator: Which has more power in a fraction?
What do you do with students who already get their fraction operations? Give them a contrived project about recipes or pizza slices? Make them solve annoyingly hard practice problems? Please. Here, we get students thinking in a whole new way, pondering which has more power, the numerator or denominator.
Gr 2-6
How Many Ways: Fraction Equivalence
How Many Ways: Fraction Equivalence
How many different ways can you make this math statement true using only the digits one through nine?
Gr 1, 2, 3, 4, 6
Fraction Ordering Tournament
Fraction Ordering Tournament
Which set of fractions would be the trickiest to order from least to greatest? Let’s have a tournament!
Gr 2-8
Math Curiosity: Waring’s Conjecture
Math Curiosity: Waring’s Conjecture
So, can you write every odd (greater than 3) as the sum of three primes?
Gr 1-5
Fraction Puzzlers: Add and Subtract Fractions To Reach A Number
Fraction Puzzlers: Add and Subtract Fractions To Reach A Number
You only have six digits to form three fractions. Can you combine them to get to 0?
Gr 3, 4, 5, 7
Math Curiosity: Collatz Conjecture
Math Curiosity: Collatz Conjecture
The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…
Gr 1-6
A Grid-Based Fraction Project
A Grid-Based Fraction Project
You’ve got 60 spaces on a grid to create an amusement park, a house, a farm, or whatever you’d like. Divide it into seven pieces, order it by size, combine into two halves, and more in this fraction project.
Gr 1-5