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
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
Read the new source and name units/wanted quantity. Teach source/unit/question on 12+8, target 25 before own formulation.
Model on separate adult paper. Ask whether there are enough: 132+175=307, 13 short. Label all givens.
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.
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.
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.
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
Read the new source and name units/wanted quantity. Distinguish joining from multiplying different counts.
Model on separate adult paper. 176+148 models 324 tokens; 176×148 would not count two piles.
Guide a different complete source. A fictional theatre has 237 tickets and adds 186. 423 tickets; choose chunks or partition.
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.
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.
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
Read the new source and name units/wanted quantity. Teach total and gap as different answer roles.
Model on separate adult paper. 433 available, 17 short; 433 alone answers total, not whether enough.
Guide a different complete source. A fictional puzzle plan has 318 cards plus 156, target 460. 474 available, 14 extra; need is met.
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.
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.
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
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.
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.
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.
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.
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