Sixty-Four Percent and a Pacing Guide
Your 22 third graders took a five-item exit ticket on representing multiplication with arrays and equal groups. Fourteen answered all five correctly; eight missed three or more, and five of those eight also failed most of the previous place-value unit. Your district pacing guide starts division on Monday, the unit test is in three weeks, and the state test is eight weeks out. You have a 25-minute intervention block three days a week, and the intervention specialist can take one small group during that time. Devon, one of the eight, has an IEP goal of 36 correct multiplication facts in two minutes; his current median is 19. At team planning a colleague says, 'Move on - they'll pick it up when they hit division.' Your principal expects every teacher to stay within a week of the pacing guide.
1. Interpret the exit ticket and state your instructional decision for the class and for the eight students, with justification. Address the claim that they will pick it up in division.
Read the worked answer
What the data say. 64% mastery (14 of 22) on a five-item ticket about a foundational representation is not a green light. The errors are not random: they cluster on the array and equal-groups model, and five of the eight also missed place value, meaning the gap is conceptual and predates this unit. A five-item ticket is a screening signal, so before finalizing I would read item-level errors and ask two or three of the eight to model a problem aloud.
Decision: keep the pace, change the design. A full-class reteach wastes the time of 14 ready students and does not fix the eight. Moving on and hoping does not either. Instead:
- Open each of the next six lessons with a seven-minute re-engagement using arrays, moving from tiles to drawn arrays to the symbolic equation, so the eight meet the model again in context.
- Connect division explicitly to arrays (inverse relationship), so the class advances while the eight keep working with the same representation.
- Pull the eight during the intervention block twice weekly: the specialist takes the five with place-value gaps (the prerequisite), I take the three whose place value is intact but who cannot yet build an array.
On 'they'll pick it up in division': some will, because division re-exposes them to equal groups. But the unit test in three weeks and the state test in eight weeks both sample multiplication heavily, and a student who cannot represent multiplication will likely also misread division. Hoping is not a plan; a scheduled, measured re-engagement is.
2. Devon's IEP goal is fluency (36 facts in two minutes; median 19). How do you serve that goal without sacrificing his conceptual instruction, and what do you say to the specialist and to his parents?
Read the worked answer
Separate the two needs. Devon has a conceptual gap (arrays, place value) and a fluency gap. Fact fluency helps him only when paired with understanding; drilling facts he cannot connect to a model produces fast counting, not fluency.
Plan
- Intervention block, 10 minutes, three times weekly: explicit strategy instruction (derived facts - fives, doubles, tens), timed practice with self-graphing, and error correction. The specialist or I run it, and it does not replace core math.
- Core math: Devon stays in the whole-class lesson with a pre-taught model, manipulatives available, and a partially completed array template so he can access grade-level content.
- Progress monitoring weekly: two-minute timings, median of three, plus a biweekly array check. If fluency rises while array work stays flat, the goal is being met while the need is not - flag that to the team.
- IEP integrity: the goal and service minutes are legal commitments. The pacing guide cannot override them, but neither should the goal be used to pull him out of core instruction.
Communication: with the specialist, a short shared data sheet and a decision date. With his parents, plain language - what the goal measures, what we are doing, what the numbers show, and a five-minute daily practice they can run at home. Avoid framing the goal as 'he's behind' or predicting the state test result.
3. Your principal expects everyone within a week of the pacing guide. How do you handle that tension in person and in writing?
Read the worked answer
Bring data and a plan, not an apology. In person: 'I'm starting division Monday on schedule. Eight students aren't ready, and five of them have a place-value gap. Here is the seven-minute warm-up, here are the two small groups, and here is the check date - I'll bring you the exit ticket data on the 24th.' That demonstrates scope-and-sequence fidelity plus responsiveness, which is what the guideline exists to protect.
In writing (if asked to justify): one page - exit ticket results, the item-level pattern, the specific adjustments, which students are affected, the measure and date, and the ask (for example, specialist time for two weeks). Include what I will cut if time is short: enrichment extensions for students who are ready, not the re-engagement.
What to avoid: silent compliance - moving on to stay on the guide, which converts an instructional problem into a special education referral later - and public complaining about the pacing guide or the colleague. If the guide genuinely cannot accommodate the data, that is a grade-level conversation to raise with evidence, not a rule to quietly break.