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

The Interior Mathematics

Activity 10 · Smaller Steps. The same walk as Walk the Line — the steps just got smaller. Walk it here, or print it and use a pencil — both count.

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There is no send button, no upload, no account, no sign-in. Your work is saved on this one computer so you can come back to it — and you can erase it whenever you want.

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This one is different from the Wednesday worksheets. Those are your own thinking and nobody reads them. This is math, and math is meant to be looked at together — your teacher may stand next to you and read this screen, and may write down how it went. Nothing travels on its own; a person has to be standing here.

Asking for a hint is not cheating. The hints are part of the lesson. Using them tells your teacher what to teach next, which is exactly what they are for.

If you share this computer, erase before you go. Anyone who uses this same browser profile could open the page and see your work. That is what the erase buttons are for, and using them is completely normal.

Mathematics · Activity 10

Smaller Steps

You already know this walk. Decimals and fractions did not change the rules — they only changed the size of the steps.

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.

Show me one first

This one is nobody's problem — it is only here to show the moves before you touch yours. Watching it costs nothing and is written down nowhere.

−0.3 + 0.7
Stand on −0.3.
Adding a positive walks right — 7 small steps.
You stop on 0.4.

Now problem 1 is yours. The hint button is there the whole time, and using it is part of the lesson.

  1. 1−0.4 + 0.7 = −2−1.5−1−0.500.511.52
  2. 20.3 + (−0.8) = −2−1.5−1−0.500.511.52
  3. 3−0.5 + (−0.7) = −2−1.5−1−0.500.511.52
  4. 40.6 − 1.4 = −2−1.5−1−0.500.511.52
  5. 5−0.7 + 0.7 = −2−1.5−1−0.500.511.52
  6. 60.4 − (−0.6) = −2−1.5−1−0.500.511.52
  7. 7−3/2 + 5/2 = −5−4−3−2−1012345
  8. 81/2 − 2 = −5−4−3−2−1012345
  9. 9−3/4 + (−1/2) = −2−3/2−1−1/201/213/22
  10. 103/4 − 3/4 = −2−3/2−1−1/201/213/22
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 walked with no hints; supported means walked after a hint. Both are real evidence and neither is a grade.

Date
—
Skill
Add and subtract decimals and fractions on a number line
Measure
Trials (x of y)
Independent
0 of 10
Supported
0 of 10
Hints used
0
Confidence
—

Items 1–6 are tenths, 7–8 are halves, 9–10 are quarters, and two of them land on zero. Set 2 and Set 3 are the same ten skills with different numbers, so the same student can be probed three weeks running without being measured on memory. This activity pairs with Activity 3 — a student who can walk that one already has everything this one needs.

Saved on this computer