Architecture of Grace
Mathematics · The Interior · Grades 6–8

The Interior Mathematics

Activity 9 · Land On It. There is no one right answer here — there are more answers than you can write down.

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Mathematics · Activity 9

Land On It

This time you get the answer and you build the question. Pick anywhere on the line to start. The walk from there to the target is your expression — and there are endlessly many, so find three.

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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.

  1. 1Draw three walks that land on −3. At least one from each side.−10−50510Write each one:
  2. 2Draw three walks that land on 6. At least one from each side.−10−50510Write each one:
  3. 3Draw three walks that land on 0. At least one from each side.−10−50510Write each one:
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

This one is not x of ten. There are no items to be right about, so the row counts what the student produced: how many expressions they built, and how many targets they reached from both sides. Approaching from both sides is the understanding — a student who only ever starts to the left has found three walks but one idea. Nothing is sent anywhere; copy the row yourself or print this page.

Date
Skill
Build equivalent integer expressions on a number line
Measure
Count — what was produced
Expressions built
0 built
From both sides
0 of 3 targets
Hints used
0
Confidence

The third target in every set is zero, on purpose: the ways to land on zero are the zero pairs, met as something the student found rather than something they were told. Set 2 and Set 3 are the same three moves with different targets, so the same student can work this three weeks running.

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