Architecture of Grace
Mathematics · Number Concepts & Data

Number Concepts & Data

Concepts & Data · Activity 1 — Cut It Fair. Cut one whole into equal parts so every share is fair, or print it and use a pencil — both count.

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Concepts & Data · Activity 1

Cut It Fair

One whole. Cut it so every part is the same size — a fair share. Every fraction starts right here.

On this computer only

No score is kept. No points, no streak, no ranking — the only number anyone writes down is the one your teacher writes down, standing next to you.

  1. 1Cut it into 2 equal parts.
  2. 2Cut it into 3 equal parts.
  3. 3Is this cut fair? Circle one: yes / no
  4. 4Cut the space from 0 to 1 into 4 equal parts.01
  5. 5Is this cut fair? Circle one: yes / no
  6. 6Cut it into 6 equal parts.
  7. 7Is this cut fair? Circle one: yes / no
  8. 8Cut the space from 0 to 1 into 8 equal parts.01
Words for it

Fair shares — parts that are all the same size. Nobody's piece is bigger.

Fractional parts — the equal parts one whole is cut into. Fractions are made of them.

How confident are you with these?

There is no right answer here. It only tells your teacher where to start next time.

For the teacher — this device only

One probe row, built from what happened on this screen. Nothing is sent anywhere — copy it into the Goal Builder yourself, or print this page. Independent means solved with no hints; supported means solved after a hint. Both are real evidence and neither is a grade.

Date
—
Skill
Divide a whole into equal parts (fair shares)
Measure
Trials (x of y)
Independent
0 of 8
Supported
0 of 8
Hints used
0
Confidence
—
Watched the demo
—
Stretch
—

Items mix five cut-it problems — 2, 3, 4, 6 and 8 equal parts, on bars and on the space from 0 to 1 — with three is-it-fair judgments. Set 2 and Set 3 are the same eight skills with different numbers, so the same student can be probed three weeks running without being measured on memory.

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