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Some of FractionForge’s cast are still learning. When you teach them, YOU learn it best — catch what they get wrong, then quiz them. Pick a way to teach below.
Teach Halver
You be the teacher — Halver is still learning. Helping Halver figure it out is the practice. (Halver's progress stays on this device; nothing is sent anywhere.)
🎓 In a minute you'll be the teacher. Get ready to teach Halver: equal parts.
Equal parts means every piece is the SAME size. Three pieces are only thirds if all three match, so fold or measure to check before you call them thirds.
Equi makes 1/2 = 2/4. Scale makes 1:2 = 2:4. What's the shared move?
Equi then says: “To keep it equal I'll add 1 to the top and bottom: 1/2 becomes 2/3!” — is that right?
The link across apps: "scale both parts by the same factor" is proportional reasoning — the SAME structure whether you call it a fraction or a ratio.
One idea, two apps: what you taught Equi in FractionForge, Scale already knew in RatioRealm.
Capstone — plan the class bake sale
Your class is running a bake sale. Each part below needs ONE of the cast's ideas — bring in the right person for each.
Cut each tray of brownies so every buyer gets the exact same amount.
Who do you bring in?
The recipe makes half a batch; double it and keep the fractions naming the same amounts.
Who do you bring in?
Add 1/2 cup + 1/3 cup of two mix-ins — you can't add them until the parts match.
Who do you bring in?
Price a brownie at three-quarters of a dollar and write it as money.
Who do you bring in?
Class A sold 3/4 of its trays, Class B sold 5/8 — who sold more?
Who do you bring in?
Notice what you just did: no single idea ran the bake sale — you PICKED the right idea for each part and connected them. That's what knowing fractions really means.
The whole cast, working together — because you taught each one and saw how they fit.
Each idea is a person you teach. A filled circle is one you can teach; a solid line is a connection you've taught. Fill the map by teaching the cast + their connections.
