# A note of your own · 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 chosen conditions meet stated ranges, share a unit and make the wanted quantity explicit; target is given if needed.

### Id

D-first-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 maze plan has 246 tiles plus 128, target 400.

#### Complete new source

An ordinary imaginary sculpture-card plan has 132 cards plus 175 new cards, target 320.

#### Complete own invitation

Choose imaginary start 100–500, added 10–200, same unit; optional target 200–800.

#### Entry and teach

Teach source/unit/question on 12+8, target 25 before own formulation.

#### Guided instruction

374, 26 short; learner may formulate total only first. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT25

#### 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. Teach source/unit/question on 12+8, target 25 before own formulation.

2. Model on separate adult paper. Ask whether there are enough: 132+175=307, 13 short. Label all givens.

3. Guide a different complete source. A fictional maze plan has 246 tiles plus 128, target 400. 374, 26 short; learner may formulate total only first.

4. Receive one own attempt. Choose imaginary start 100–500, added 10–200, same unit; optional target 200–800. Staff reference only: No single answer; check actually chosen conditions. Staff new possibility 213+146=359, target 400→41 short.

5. Compare available work with: Own conditions and wanted quantity are complete without adult values fill. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Own conditions and wanted quantity are complete without adult values fill.

#### Staff own possibility

No single answer; check actually chosen conditions. Staff new possibility 213+146=359, target 400→41 short.

#### Teacher model

Ask whether there are enough: 132+175=307, 13 short. Label all givens.

#### Timing

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

#### Title

Choose a collection problem

### Own initial value



### Prompt

State your chosen conditions, units and the question you want to answer.

### After own work: adult practice possibility

Staff possibility only: fictional 236 game cards plus 148 cards, target 400; want to know whether target is met. Own work must not be filled with this example.


2. 
### Criterion

A suitable additive total and optional target comparison match the actually chosen conditions.

### Id

D-first-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 fictional theatre has 237 tickets and adds 186.

#### Complete new source

An ordinary invented rocket game has 176 tokens and adds 148; the question asks for total tokens.

#### Complete own invitation

Choose an imaginary like-unit start 100–500 and addition 10–200; write a matching model.

#### Entry and teach

Distinguish joining from multiplying different counts.

#### Guided instruction

423 tickets; choose chunks or partition. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT26

#### 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 joining from multiplying different counts.

2. Model on separate adult paper. 176+148 models 324 tokens; 176×148 would not count two piles.

3. Guide a different complete source. A fictional theatre has 237 tickets and adds 186. 423 tickets; choose chunks or partition.

4. Receive one own attempt. Choose an imaginary like-unit start 100–500 and addition 10–200; write a matching model. Staff reference only: Staff possibility 248+137=385; other valid own conditions accepted.

5. Compare available work with: Formulated operation/unit roles match own wanted quantity. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Formulated operation/unit roles match own wanted quantity.

#### Staff own possibility

Staff possibility 248+137=385; other valid own conditions accepted.

#### Teacher model

176+148 models 324 tokens; 176×148 would not count two piles.

#### Timing

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

#### Title

A model from a question

### Own initial value



### Prompt

Make a number sentence or model for your question, keeping the roles clear.

### After own work: adult practice possibility

For staff possibility 236+148 compared with 400. Other valid own choices accepted.


3. 
### Criterion

Correct exact result and interpretation agree with the learner’s chosen conditions, not a prescribed example.

### Id

D-first-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 puzzle plan has 318 cards plus 156, target 460.

#### Complete new source

An ordinary imaginary art plan has 286 labels plus 147, target 450.

#### Complete own invitation

Choose a like-unit start 100–500, addition 10–200, target 200–800; solve and interpret.

#### Entry and teach

Teach total and gap as different answer roles.

#### Guided instruction

474 available, 14 extra; need is met. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT27

#### 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. Teach total and gap as different answer roles.

2. Model on separate adult paper. 433 available, 17 short; 433 alone answers total, not whether enough.

3. Guide a different complete source. A fictional puzzle plan has 318 cards plus 156, target 460. 474 available, 14 extra; need is met.

4. Receive one own attempt. Choose a like-unit start 100–500, addition 10–200, target 200–800; solve and interpret. Staff reference only: No prescribed own answer; staff possibility 275+138=413, target 400→13 extra.

5. Compare available work with: Own result and target meaning agree; missing interpretation remains missing. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

Own result and target meaning agree; missing interpretation remains missing.

#### Staff own possibility

No prescribed own answer; staff possibility 275+138=413, target 400→13 extra.

#### Teacher model

433 available, 17 short; 433 alone answers total, not whether enough.

#### Timing

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

#### Title

Interpret an own answer

### Own initial value



### Prompt

Solve exactly and explain what the result means.

### After own work: adult practice possibility

Staff possibility 384 cards, 16 short of 400. A total alone can supply calculation evidence while interpretation remains not yet seen.


4. 
### Criterion

A valid check supports the own result; wanted next action can be stated without requiring a new computation or made artifact.

### Id

D-first-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 map plan has 328 tiles plus 145, target 480.

#### Complete new source

An ordinary pretend game has 247 cards plus 156, target 420.

#### Complete own invitation

Choose a complete own like-unit plan and give one connected mathematical check against its current conditions. A wanted next action is optional; label any unworked change as a plan.

#### Entry and teach

Teach one connected check against the current chosen conditions; a wanted next action is optional and an unworked change is a plan.

#### Guided instruction

473, 7 short; check 473−145=328 against the given 328+145 and target 480. After checking, an optional proposed target 470 is a plan. Invite each relationship before the answer; teach missing facts and name help.

#### Id

NEXT28

#### 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. Teach one connected check against the current chosen conditions; a wanted next action is optional and an unworked change is a plan.

2. Model on separate adult paper. 403, 17 short; check 403−156=247 against the given 247+156 and target 420. After the check, an optional proposed added 180 is a plan, not yet computed.

3. Guide a different complete source. A fictional map plan has 328 tiles plus 145, target 480. 473, 7 short; check 473−145=328 against the given 328+145 and target 480. After checking, an optional proposed target 470 is a plan.

4. Receive one own attempt. Choose a complete own like-unit plan and give one connected mathematical check against its current conditions. A wanted next action is optional; label any unworked change as a plan. Staff reference only: Check against own conditions; an unworked change is a plan. Staff possibility 196+158=354; 354−158=196.

5. Compare available work with: One valid connected check supports the own result under its actual stated conditions. A wanted next action is optional; do not require a newly computed change or a made artifact. Choose one follow-up offer; never infer independence from a copied model.

#### What to look for

One valid connected check supports the own result under its actual stated conditions. A wanted next action is optional; do not require a newly computed change or a made artifact.

#### Staff own possibility

Check against own conditions; an unworked change is a plan. Staff possibility 196+158=354; 354−158=196.

#### Teacher model

403, 17 short; check 403−156=247 against the given 247+156 and target 420. After the check, an optional proposed added 180 is a plan, not yet computed.

#### Timing

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

#### Title

A wanted next move

### Own initial value



### Prompt

Choose a connected check. What would you keep, change or try next?

### After own work: adult practice possibility

Staff possibility 384−148=236; keep note or propose 150 added instead. Proposed changed total is not claimed computed until worked.


## Eligibility

After ordinary additive formulation, exact strategies and interpretation have been taught. If number ranges block access, teach a smaller ordinary version; do not silently change the stated held source and claim equivalent difficulty.

## 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-first

## Complete neutral source

Choose an imaginary collection or whole-dollar plan. Choose a start count from 100 to 900 and an added count from 10 to 300, both in the same unit. Ask for the combined amount or ask whether it meets a separately chosen target from 200 to 1200. State all chosen conditions. No real possession, purchase or completed activity is required.

## 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

A note of your own
