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. (Only for you; nothing is saved.)
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.
