# Digits are quantities


## Access

Read or sign the exact source and prompts neutrally, enlarge them, or scribe the learner’s chosen words. A figure, operation, regrouping, equation role or check supplied by an adult is mathematical help and is recorded as such. Show, draw, type, sign or use usual communication. One component can be enough; pause/pass/finish are choices. Four own spaces are genuinely empty. Models, criteria and next lessons stay on separate staff pages.

## Complete different guided source

An imaginary game uses 37 of 82 tokens.

## Complete new source

A fictional theatre has 63 tickets and uses 28. A wrong note gives 45 from 6−2 and 8−3.

## Complete own invitation

A pretend craft store uses 46 of 91 labels.

## Entry and teach

Use a place-value representation, not digit-size swapping.

## Guided instruction

45 left; 7 tens 12 ones−3 tens 7 ones. Compare original 82−37 with wrong digit-swapping 55. Invite each relationship before the answer; teach missing facts and name help.

## Id

NEXT07

## Materials

Broad paper/empty bar or line/place-value headings as useful; usual communication; no actual stock/handling/purchase.

## Observe and follow up

Receive one available own relationship before staff possibility. If it matches criterion, offer another small new context later; this is not automatic mastery. If not, return to the entry relationship and fade one hint. Record the actual mathematical help. If access/time is not available, change access or sitting rather than marking wrong.

## Relationship to check

Teach the observed missing relationship in a new ordinary domain; not an answer repetition or further held item.

## Session sequence


1. Read the new source and name units/wanted quantity. Use a place-value representation, not digit-size swapping.

2. Model on separate adult paper. 63=5 tens 13 ones; subtract 2 tens 8 ones=35. Reversing only the ones changes the operation.

3. Guide a different complete source. An imaginary game uses 37 of 82 tokens. 45 left; 7 tens 12 ones−3 tens 7 ones. Compare original 82−37 with wrong digit-swapping 55.

4. Receive one own attempt. A pretend craft store uses 46 of 91 labels. Staff reference only: 45 left; 4 tens 5 ones after regroup.

5. Compare available work with: Repair rejects direction-changing digit subtraction and supplies a quantity-preserving method. Choose one follow-up offer; never infer independence from a copied model.

## What to look for

Repair rejects direction-changing digit subtraction and supplies a quantity-preserving method.

## Staff own possibility

45 left; 4 tens 5 ones after regroup.

## Teacher model

63=5 tens 13 ones; subtract 2 tens 8 ones=35. Reversing only the ones changes the operation.

## Timing

An adjustable 10–20 minute ordinary lesson, unpiloted; split/stop after one useful part.

## Title

Digits are quantities