# One useful changed plan · educator review


## Access and help

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.

## Components


1. 
### Criterion

Complete current conditions and change statements are supported by available work; no invented previous history.

### Id

D-later-Q1

### Next ordinary teaching


#### 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 music plan has 347 cards plus 128, target 500.

#### Complete new source

An ordinary imaginary puppet plan has 258 labels plus 137, target 420.

#### Complete own invitation

Make a new own like-unit start 100–500, added 10–200, target optional 200–800, or state one change of an available plan.

#### Entry and teach

Provide a new complete plan when earlier work is absent; no memory test.

#### Guided instruction

475, 25 short; compare only with actually available earlier conditions. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT29

#### 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. Provide a new complete plan when earlier work is absent; no memory test.

2. Model on separate adult paper. 395, 25 short; call new plan new. If earlier available 258+127, only new addition 137 is changed.

3. Guide a different complete source. A fictional music plan has 347 cards plus 128, target 500. 475, 25 short; compare only with actually available earlier conditions.

4. Receive one own attempt. Make a new own like-unit start 100–500, added 10–200, target optional 200–800, or state one change of an available plan. Staff reference only: No one answer; check current conditions. Staff possibility 279+156=435.

5. Compare available work with: Complete current conditions and change attribution are document-supported. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Complete current conditions and change attribution are document-supported.

#### Staff own possibility

No one answer; check current conditions. Staff possibility 279+156=435.

#### Teacher model

395, 25 short; call new plan new. If earlier available 258+127, only new addition 137 is changed.

#### Timing

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

#### Title

New or actually changed

### Own initial value



### Prompt

State all current conditions and identify any new or unchanged part.

### After own work: adult practice possibility

Staff new possibility: 417 fictional labels plus 186, target 600. If this is a new plan, say new, not improved.


2. 
### Criterion

Current additive model and exact result agree with selected quantities.

### Id

D-later-Q2

### Next ordinary teaching


#### 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 pretend story book plan changes start from 327 to 347 and keeps 156 added.

#### Complete new source

An ordinary fictional costume plan changes its added count from 148 to 168 while current start is 286.

#### Complete own invitation

Choose an own complete additive plan, change one count by 10–30 and recompute.

#### Entry and teach

Do not retain old answer after changing an input.

#### Guided instruction

Current 503; old 483 is earlier version. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT30

#### 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. Do not retain old answer after changing an input.

2. Model on separate adult paper. Current 286+168=454; old 434 belongs to 286+148. Label both versions.

3. Guide a different complete source. A pretend story book plan changes start from 327 to 347 and keeps 156 added. Current 503; old 483 is earlier version.

4. Receive one own attempt. Choose an own complete additive plan, change one count by 10–30 and recompute. Staff reference only: Check the actual new sum; staff possibility 248+135=383 then 268+135=403.

5. Compare available work with: Current calculation uses current values; earlier result is not silently reused. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Current calculation uses current values; earlier result is not silently reused.

#### Staff own possibility

Check the actual new sum; staff possibility 248+135=383 then 268+135=403.

#### Teacher model

Current 286+168=454; old 434 belongs to 286+148. Label both versions.

#### Timing

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

#### Title

Compute current conditions

### Own initial value



### Prompt

Formulate and calculate the current wanted quantity with a useful strategy.

### After own work: adult practice possibility

417+186=603 labels by+100,+80,+6. A new target comparison uses current 603.


3. 
### Criterion

Meaning and optional comparison agree with the selected plan and correct result.

### Id

D-later-Q3

### Next ordinary teaching


#### 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 plan has 428 plus 157, target 600.

#### Complete new source

An ordinary imagined map plan has 387 tiles plus 146, target 520.

#### Complete own invitation

Choose current like-unit conditions and target; compute and interpret for reader.

#### Entry and teach

Distinguish an excess from shortage; units and target stay fixed.

#### Guided instruction

585, 15 short; need 15 more. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT31

#### 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. Distinguish an excess from shortage; units and target stay fixed.

2. Model on separate adult paper. 533 available, 13 extra; the stated need is met.

3. Guide a different complete source. A fictional card plan has 428 plus 157, target 600. 585, 15 short; need 15 more.

4. Receive one own attempt. Choose current like-unit conditions and target; compute and interpret for reader. Staff reference only: Staff possibility 376+148=524, target 500→24 extra; own numbers differ.

5. Compare available work with: Exact current result and direction match selected source conditions. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Exact current result and direction match selected source conditions.

#### Staff own possibility

Staff possibility 376+148=524, target 500→24 extra; own numbers differ.

#### Teacher model

533 available, 13 extra; the stated need is met.

#### Timing

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

#### Title

Current result in context

### Own initial value



### Prompt

Interpret the current result in its situation. If a target is chosen, say whether it is met.

### After own work: adult practice possibility

Staff possibility 603 meets 600 with 3 extra. No actual labelling is claimed.


4. 
### Criterion

Offered check is valid if supplied; offered future change is clearly a plan, with no requirement for both a check and a change.

### Id

D-later-Q4

### Next ordinary teaching


#### 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 badge plan has 247 plus 178, target 450.

#### Complete new source

An ordinary invented archive plan has 314 cards plus 186, target 520.

#### Complete own invitation

Give one valid check or one wanted change for your own complete plan; state what is worked and what is proposed.

#### Entry and teach

Model a wanted change without implying it was recalculated or happened.

#### Guided instruction

425, 25 short; propose added 203 or check 425−178=247. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT32

#### 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. Model a wanted change without implying it was recalculated or happened.

2. Model on separate adult paper. Current 500, 20 short; check 500−186=314. Proposed added 206 is unworked until 314+206=520 is actually computed.

3. Guide a different complete source. A fictional badge plan has 247 plus 178, target 450. 425, 25 short; propose added 203 or check 425−178=247.

4. Receive one own attempt. Give one valid check or one wanted change for your own complete plan; state what is worked and what is proposed. Staff reference only: No prescribed own choice; valid check or clearly unworked future change accepted.

5. Compare available work with: Evidence of calculation and future intention remain distinct without demanding both. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Evidence of calculation and future intention remain distinct without demanding both.

#### Staff own possibility

No prescribed own choice; valid check or clearly unworked future change accepted.

#### Teacher model

Current 500, 20 short; check 500−186=314. Proposed added 206 is unworked until 314+206=520 is actually computed.

#### Timing

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

#### Title

Worked or planned?

### Own initial value



### Prompt

Give a connected check or one wanted next change. Say what has been worked out and what is still proposed.

### After own work: adult practice possibility

Staff possibility 603−186=417 checks. Or propose target 620 and say not yet worked. Either matches the one-of invitation; do not demand both.


## Eligibility

After the actual required mathematics has been taught. Receive current work as new/supported/exposed according to actual source history; do not infer prior choices or improvement.

## First later limit

First/later are opportunity labels, not fixed order, matches, calibrated difficulty or learning gain. If source/answer exposed, record that rather than claim unseen.

## Id

D-later

## Complete neutral source

Make a new fictional additive plan with start 100–900, added 10–300, same unit; optional target 200–1200. Or change one stated condition of an actually available earlier plan, keeping all current conditions complete and in range. Earlier work may be visible; if absent, start anew. No matched difficulty or learning gain is supplied.

## Own page

Four labelled true empty text areas with literal blank initial values; kept draft not required for judgement; staff information behind separate link, not autofilled.

## Source disclosure

Full neutral whole source is initially closed native same-page details on own response page; reading it never navigates away or loses typed work. No worked/criterion/next source inside its child disclosure. Staff index is separate.

## Title

One useful changed plan
