Architecture of Grace
Mathematics · Number Concepts & Data

Number Concepts & Data

Concepts & Data · Activity 6 — Same Amount, New Name. One amount can wear two names — watch the bars prove it, or print it and use a pencil — both count.

Saved on this computer only.

How do I know that's true?

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.

This page has no way to send anything. It saves your work in this browser's own storage on this machine. It loads nothing from the internet and sends nothing out, so there is no copy anywhere else — not with your teacher, not with the school, not with anyone.

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.

Concepts & Data · Activity 6

Same Amount, New Name

Two bars with different cuts can hold the very same amount. Find the bar that lines up, then let the machine give it its new name.

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.

Shade the second bar to show the same amount, then write the new name on the lines.

  1. 11/2= /
  2. 21/3= /
  3. 33/4= /
  4. 41/2= /
  5. 52/5= /
  6. 62/3= /
  7. 71/4= /
  8. 84/5= /
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 matched with no hints; supported means matched after a hint. Both are real evidence and neither is a grade.

Date
Skill
Find an equivalent fraction with fraction bars
Measure
Trials (x of y)
Independent
0 of 8
Supported
0 of 8
Hints used
0
Confidence
Watched the demo
Stretch

Every item pairs a fraction with its ×2 or ×3 name, denominators no bigger than 10. 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.

Saved on this computer