Equal does not mean next

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 story puzzle says 38+□=72.

Complete new source

A fictional code puzzle says 27+□=64.

Complete own invitation

A pretend rocket puzzle says 46+□=83.

Entry and teach

Show two equal amounts for 12+3=10+5.

Guided instruction

34; 38+34=72. Invite each relationship before the answer; teach missing facts and name help.

Id

NEXT12

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. Show two equal amounts for 12+3=10+5.

2. Model on separate adult paper. □=37 because 27+37=64; using 64 gives 91, not 64.

3. Guide a different complete source. An imaginary story puzzle says 38+□=72. 34; 38+34=72.

4. Receive one own attempt. A pretend rocket puzzle says 46+□=83. Staff reference only: 37; 46+37=83.

5. Compare available work with: The missing part is distinguished from the whole-side value and equality is interpreted relationally. Choose one follow-up offer; never infer independence from a copied model.

What to look for

The missing part is distinguished from the whole-side value and equality is interpreted relationally.

Staff own possibility

37; 46+37=83.

Teacher model

□=37 because 27+37=64; using 64 gives 91, not 64.

Timing

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

Title

Equal does not mean next