How to Teach Fractions So They Actually Make Sense

A sensible order

1. Fair shares: split a real brownie between two, then three, then four people. 2. Equal parts: show a shape cut unevenly and ask if those are thirds. 3. Unit fractions: 1/4 is one part of four equal parts, and more parts means smaller parts. 4. Counting unit fractions: 3/4 is 1/4, 1/4 and 1/4. This step makes everything later easier, and it's often rushed. 5. The number line: fractions are numbers with a place. 6. Equivalence, 7. comparing, 8. adding like denominators. Check each step before moving on, because each one leans on the last.

Use more than pies

Pies are great for part-of-a-whole, but they're hard to draw fairly and they hide the fact that a fraction is a number. Bars line up for comparing. Sets show that 3/4 can mean 3 of 4 cookies, or 9 of 12. Number lines show that 3/4 sits between 0 and 1, and they lead to everything that comes later. Kids who only know pies often get stuck on the first ruler or number line question they see.

Hold back the rules

“Multiply the top and bottom” and “add the tops” are fast to teach and fast to forget, and kids mix them up. Have them cut, fold and draw first. Ask “how do you know?” instead of “what's the rule?” When a child can explain why 2/4 is the same as 1/2 with a picture, the rule becomes a shortcut they own, not a spell they recite.

How to do it with Fraction Bakery

1. Start at the fraction wall. Ask what kids notice before you tell them anything.
2. Put the game on the board and play a round together. Have the class vote before each tap.
3. Print fraction pies or fraction bars to slow things down on paper.
4. When one idea wobbles, lock the game to it: equivalent, comparing or adding.

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