| Objectives | Students will be able to: (1) interpret a symbol (box, star) in a number sentence as standing for a hidden number; (2) find the hidden number using materials; (3) explain what the symbol means. |
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| Materials | The weekend's cliffhanger card (3 + ☐ = 5); counters and cups; sentence strips with box-symbols; whiteboards. |
| Key vocabulary | symbol, stands for, hidden number, mystery |
| Engage (starter) | (10 min) Theories heard first: what IS the box in 3 + ☐ = 5? Children's weekend ideas honoured... then the reveal: the box is a HIDING PLACE. A number lives inside. Our job: find it. |
| Develop (main) | (35 min) 1. The cup enactment: 3 counters visible, a cup hiding some, 5 altogether known — lift the cup... TWO! The box in the sentence IS the cup on the table. 2. Guided rounds: build each boxed sentence with cups, find the hider, write the number INTO the box. 3. The old-friend revelation: "You have solved these before!" — Term 1's missing-number sentences, Term 2's fact-family repairs — the box is just a new COSTUME for an old game. 4. Pairs solve six box-sentences (addition only today), cups available always. |
| Plenary (close) | (10 min) Box theatre: teacher writes 4 + ☐ = 9 giant on the board; a volunteer "opens the box" theatrically and writes 5 inside to applause. |
| Assessment | Strips: 5 of 6 boxes filled correctly; the cup used or clearly outgrown; "the box hides a number" explained in own words. |
| Teacher notes | This is the gentlest possible algebra: a symbol holds a place for an unknown. The costume framing (old game, new clothes) is deliberate confidence engineering — children must feel POWERFUL here, not puzzled. All numbers stay within secure fact ranges. |
| Objectives | Students will be able to: (1) solve box-sentences with the symbol in any position (☐ + 4 = 7; 2 + 3 = ☐); (2) use fact families to open boxes fast; (3) check solutions by reading back. |
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| Materials | Sentence strips with boxes in varied positions; fact-family triangles (the master key returns); counters and cups; whiteboards. |
| Key vocabulary | position, front, middle, end, check |
| Engage (starter) | (10 min) The box learns to travel: three sentences on the board, the box at the END, the MIDDLE, the FRONT. "Same box, same job — a number hides inside, wherever it sits." |
| Develop (main) | (35 min) 1. Position tour with cups: end-box (2 + 3 = ☐ — just add!), middle-box (4 + ☐ = 7 — what joins 4 to make 7?), front-box (☐ + 5 = 8 — turn-around law to the rescue: 5 + ☐ = 8!). 2. The triangle master key re-issued: every box-sentence lives inside a fact family — find the family, the box opens itself. 3. Pairs work a nine-strip pack, three of each position, triangles beside them. 4. Check-by-reading ritual: every solved sentence read aloud whole — "TWO plus five IS seven — true!" |
| Plenary (close) | (10 min) Position race (gentle): three strips flashed, one of each position; whiteboard answers up. The box holds no more secrets. |
| Assessment | Packs: 7 of 9 across positions with front-boxes at least attempted; triangle consulted visibly; read-back ritual observed. |
| Teacher notes | Front-position boxes are the week's Everest (as they were in Term 2) — the turn-around rescue is the strategy to celebrate. Position variety NOW prevents the "answer always goes at the end" rigidity that cripples later algebra. |
| Objectives | Students will be able to: (1) solve subtraction box-sentences in varied positions (7 - ☐ = 3; ☐ - 2 = 6); (2) apply the parts-and-whole reframe to front-boxes; (3) mix addition and subtraction boxes confidently. |
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| Materials | Mixed-operation box strips; triangles; counters and cups; the parts-whole mats one more time. |
| Key vocabulary | take away box, parts, whole, reframe |
| Engage (starter) | (10 min) The box invades subtraction: 7 - ☐ = 3 on the board. Cup enactment: 7 built, some hidden away, 3 remain visible... lift the cup: FOUR left the scene. Same detective, darker alley. |
| Develop (main) | (35 min) 1. End and middle boxes with cups: 8 - 3 = ☐ (just subtract); 7 - ☐ = 3 (the mat shows it: whole 7, part 3 showing, the box is the other part!). 2. The dreaded front-box ☐ - 2 = 6 handled with full ceremony: "some number, less 2, leaves 6 — the whole must be the parts together: 8." Two supported, one solo (Term 2's exact scaffold, honoured). 3. Mixed nine-pack: both operations, all positions, triangles as counsel. 4. Author-a-box: each pair writes one box-sentence for the class bank. |
| Plenary (close) | (10 min) Bank raid: three student-authored boxes opened publicly with the check-by-reading seal on each. |
| Assessment | Mixed packs: 6 of 9 with one front-subtraction-box attempted; parts-whole language heard; authored box solvable. |
| Teacher notes | Front-box subtraction is genuinely the hardest sentence a Grade 1 child will meet — attempting it with a strategy IS the success criterion. The mats earn their final ovation this week. |
| Objectives | Students will be able to: (1) solve mixed box-sentences fluently in game contexts; (2) create box-sentences from stories; (3) consolidate the symbol concept before n arrives. |
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| Materials | Box-sentence game boards; dice; story cards ("Ana had some mangoes, ate 2, has 5 left"); the class bank of authored sentences; carnival trimmings. |
| Key vocabulary | mystery, story, sentence, solve |
| Engage (starter) | (10 min) Carnival gates open: the mystery box's festival! Warm-up rally: five boxes flashed, whiteboards up, the class's speed applauded against Monday's bewilderment. |
| Develop (main) | (35 min) 1. Game 1 - Box track: roll, land on a box-sentence, open it to move on. 2. Game 2 - Story-to-box: read the story card, WRITE it as a box-sentence FIRST (Ana: ☐ - 2 = 5), then solve — stories and symbols shaking hands. 3. Game 3 - Bank sweep: the authored collection solved in pairs, authors verifying. 4. The quiet table: teacher samples each child on three mixed boxes — the week's key data gathered inside the noise. |
| Plenary (close) | (10 min) Carnival close with the second cliffhanger of the fortnight: the box card is DRAMATICALLY replaced by a card reading 3 + n = 5. "Next week... the box gets a NAME. A letter name. Mathematicians call it..." — leave unfinished. Again. |
| Assessment | Quiet-table sample: 2 of 3 mixed boxes solved with strategy visible; one story translated to a box-sentence. |
| Teacher notes | Story-to-symbol translation is the true prize — it is equation-writing, the skill CSEC will grade eleven years from now, begun with mangoes. The n-cliffhanger converts next week's abstraction into a promised revelation. |
| Objectives | Students will be able to: (1) demonstrate box-sentence solving across operations and positions (consolidation); (2) complete the week checkpoint. |
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| Materials | Strip packs; triangles; cups; story cards; checklist. |
| Key vocabulary | All week vocabulary |
| Engage (starter) | (10 min) Warm-up: the box's biography retold by the class (Monday: a mystery; Friday: an open book); three flash-boxes. |
| Develop (main) | (35 min) Round-up circuit with checklist: Table 1: six mixed boxes, all positions represented. Table 2: one story translated to a box-sentence and solved. Table 3: author one box-sentence and open a neighbour's. Table 4 (choice): decorate the "Mystery Box Hall of Fame" — your proudest solved sentence, illustrated. Teacher records throughout. |
| Plenary (close) | (10 min) Hall of Fame unveiled. The n-card returns to the easel for the weekend: "Monday, the letter speaks." |
| Assessment | Week 6 checkpoint: box-solving by operation and position; story translation. Secure/developing — this profile IS the n-readiness map for Week 7 groupings. |
| Teacher notes | A week of boxes has taught the entire concept of a variable without one abstract word — Week 7 merely renames what every child already commands. That is how algebra should always arrive: as a christening, not a birth. |