# Two complete sides


## 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

A fictional card puzzle is 186+□=420+35.

## Complete new source

An invented mural-count puzzle is 215+□=340+68.

## Complete own invitation

A pretend tile puzzle is 237+□=500+46.

## Entry and teach

Use 18+□=25+7 and name known side 32.

## Guided instruction

Known 455, box 269. Invite each relationship before the answer; teach missing facts and name help.

## Id

NEXT15

## 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 18+□=25+7 and name known side 32.

2. Model on separate adult paper. Known side 408; box 193; 215+193=408.

3. Guide a different complete source. A fictional card puzzle is 186+□=420+35. Known 455, box 269.

4. Receive one own attempt. A pretend tile puzzle is 237+□=500+46. Staff reference only: Known 546, box 309.

5. Compare available work with: Known side value and box value are distinguished through inverse reasoning. Choose one follow-up offer; never infer independence from a copied model.

## What to look for

Known side value and box value are distinguished through inverse reasoning.

## Staff own possibility

Known 546, box 309.

## Teacher model

Known side 408; box 193; 215+193=408.

## Timing

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

## Title

Two complete sides