Teacher copy: This page may include teaching prompts or answer keys. Answer keys in this public library can be viewed by anyone. Give learners a clean prompt, use checks as formative evidence, and change a case locally when prior access matters.
Begin with one whole group, one named rate or one exact expression. Ask the learner what each number represents before selecting a route. Blank diagrams, counters and a scribe can reduce recording demands while keeping the mathematical decision with the learner.
Read LESSONS.md in sequence. Days 21–24 prepare E; Days 26–29 prepare F. A route is a choice of approach, not a lower or higher learner label. Use the short close to see whether the learner can name the whole, unit, operation or condition that matters.
For ordinary teaching, the twenty staff models provide fully solved comparisons. Show a model after a learner has tried an idea. Keep fresh sources, keys and reserved rechecks separate from that discussion.
For E and F, give the complete first source and task. Keep the first response before revealing the new condition. Give feedback after collecting the review. The staff keys offer descriptive criteria and four specific reteach branches. An unused reserved recheck can supply a later response after teaching; its key is separate.
Use the learner's Day 26 work to inspect integer signs and operation order. E and F do not sample the whole integer repertoire. Use F and the ordinary work to inspect rational operations without inferring mastery of every operation from one correct result.
Family invitations and supplements are optional. A learner can leave the decision/support/next-question strip blank. It is a conversation aid, not a completion gate.
The short adult notes give the preparation date and practical limits. The source notes and full crosswalk give official wording, rights and remaining curriculum scope.
Educator routes · capture first response before reveal
Give the whole first prompt, keep the response, then give the later condition. Public educator labels do not restrict access; record prior exposure and preserve a first try before models or feedback.