| Objectives | Students will be able to: (1) divide 2-3 digit numbers by 1-digit divisors with remainders; (2) interpret the remainder in context. |
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| Materials | Counters; division frames; story cards where remainders MATTER (boats, benches, boxes). |
| Key vocabulary | divide, quotient, remainder, left over |
| Engage (starter) | (10 min) The boat problem: 47 people, boats hold 6 — "SEVEN boats? Someone swims?!" 47÷6 = 7 remainder 5... so EIGHT boats (the remainder demands one more!). Context rules remainders. |
| Develop (main) | (35 min) 1. Short division refresher with materials then notation: 84÷4, 95÷4 (remainder!). 2. Six-pack mixed clean/remainder. 3. Remainder-interpretation trio: round UP (boats), drop (full boxes only), or IS the answer (leftover mangoes). 4. Story sort: which interpretation fits each of three tales? |
| Plenary (close) | (10 min) Verdicts defended: "eight boats BECAUSE five people cannot swim to the cay!" |
| Assessment | 4 of 6 divisions; all three interpretations matched correctly once. |
| Teacher notes | Remainder interpretation is where division meets wisdom — the same "r 5" means different decisions in different stories. Exam questions live exactly here. |
| Objectives | Students will be able to: (1) divide 3-digit numbers by 1-digit divisors (short division); (2) check by multiplying back. |
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| Materials | Short-division frames; the undo poster (division's turn). |
| Key vocabulary | short division, check, inverse |
| Engage (starter) | (10 min) The fundraiser split: $735 raised, shared across 5 class projects — the short-division ladder climbed live: $147 each. |
| Develop (main) | (35 min) 1. Guided ladder: hundreds, tens, ones with carries down (615÷5). 2. Six-pack with one remainder case. 3. The inverse check crowned for division: 147×5 must rebuild 735 (and remainder cases: quotient×divisor+remainder). 4. Two checks performed in full. |
| Plenary (close) | (10 min) A planted wrong quotient exposed by the multiply-back in front of all. |
| Assessment | 4 of 6 divided; one full inverse check including a remainder case. |
| Teacher notes | Multiply-back checking closes the four-operations self-verification loop begun in Grade 1 — Grade 5 students should never need to ASK if a division is right. |
| Objectives | Students will be able to: (1) generate equivalent fractions using models and multiplication; (2) simplify simple fractions. |
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| Materials | Fraction strips/walls; folded papers; equivalence chains. |
| Key vocabulary | equivalent, numerator, denominator, simplify |
| Engage (starter) | (10 min) The half-sandwich argument: one child's sandwich cut in 2 (takes 1), another's in 4 (takes 2) — who ate more? The strips settle it: 1/2 = 2/4. SAME amount, different name! |
| Develop (main) | (35 min) 1. Wall exploration: find all names for 1/2 (2/4, 3/6, 4/8, 5/10). 2. The ×same-number engine: multiply top AND bottom by the same number — new name, same value (why: multiplying by 2/2 is multiplying by ONE). 3. Chains built: 2/3 = 4/6 = 8/12. 4. Simplifying as the reverse gear: 6/8 → 3/4. |
| Plenary (close) | (10 min) Equivalence snap: cards flipped, snap on equal pairs (3/4 and 6/8!). |
| Assessment | Three names generated for a given fraction; the ×1 reasoning echoed; two simplified. |
| Teacher notes | "Multiplying by one in disguise" is the conceptual key that keeps equivalence from becoming a trick — it will carry students through ratio, percentage and algebra. |
| Objectives | Students will be able to: (1) compare fractions with like denominators, like numerators, and via benchmarks (1/2); (2) order simple mixed sets. |
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| Materials | Fraction walls; benchmark lines (0, 1/2, 1); comparison strips. |
| Key vocabulary | benchmark, greater, between zero and one |
| Engage (starter) | (10 min) The pizza stakes: 3/8 of a pizza or 3/4? The wall reveals the rout — same COUNT of pieces, wildly different SIZES. Denominators name the piece size! |
| Develop (main) | (35 min) 1. Like-denominator compares (easy: count pieces). 2. Like-numerator compares (the inversion: bigger denominator = SMALLER pieces — 3/8 < 3/4). 3. The half-benchmark: is 5/8 more or less than 1/2? (4/8 is half, so more!) 4. Order four fractions on the 0-1/2-1 line using all three tools. |
| Plenary (close) | (10 min) Benchmark lightning: eight fractions called; class signals above/below half. |
| Assessment | All three comparison tools used correctly once each; four ordered. |
| Teacher notes | The like-numerator inversion is counterintuition gold — spend the time. Benchmark thinking (vs 1/2) is the estimation habit wearing fraction clothes. |
| Objectives | Students will be able to: (1) consolidate division with remainders and fraction equivalence/comparison; (2) complete the week checkpoint. |
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| Materials | All kits; checklist. |
| Key vocabulary | All week vocabulary |
| Engage (starter) | (10 min) Medley: one remainder verdict, one equivalence chain link, one benchmark call. |
| Develop (main) | (35 min) Circuit: T1 two divisions (one remainder, interpreted); T2 one inverse check in full; T3 equivalence chain of three + one simplification; T4 compare three fraction pairs using three different tools. |
| Plenary (close) | (10 min) Preview: "Next week fractions go to WORK — fractions OF real quantities, and numbers bigger than one whole." |
| Assessment | Checkpoint: division ladder, remainder wisdom, equivalence engine, comparison tools. |
| Teacher notes | The three-tools comparison item reveals whether students choose strategies or grind one — strategy choice is the Grade 5 difference-maker. |