Architecture of Grace
Mathematics · Number Concepts & Data

Number Concepts & Data

Concepts & Data · Activity 4 — Close To What? Every fraction lives near a number you already know. Find its neighborhood here, or print it and use a pencil — both count.

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Concepts & Data · Activity 4

Close To What?

Before you measure a fraction, ask what it is close to. 0, one-half, and 1 are called benchmarks — numbers you know well. The top and the bottom will tell you which one is its neighbor.

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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.

For each fraction: circle the benchmark it is closest to — 0, ½, or 1 — then mark its spot on the line with a pencil.

  1. 11/80½10½1
  2. 27/80½10½1
  3. 34/80½10½1
  4. 41/100½10½1
  5. 53/80½10½1
  6. 65/60½10½1
  7. 72/50½10½1
  8. 85/80½10½1
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. Copy it into the Goal Builder yourself, print this page — or, if this device resolved a class destination, send it below. Independent means placed with no hints; supported means placed after a hint. Both are real evidence and neither is a grade.

Date
—
Skill
Place a fraction near 0, one-half, or 1
Measure
Trials (x of y)
Independent
0 of 8
Supported
0 of 8
Hints used
0
Confidence
—
Watched the demo
—
Stretch
—

Two fractions sit near 0, four near one-half (one is exactly one-half), two near 1. Problems 5–8 add the pin: after naming the benchmark, the student places the fraction on the line (it snaps to twelfths, and a landing within one twelfth counts). Set 2 and Set 3 are the same skills with different fractions, so the same student can be probed three weeks running without being measured on memory.

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