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Year 7 / Mathematics / Term 1 / Weeks 03 04

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Ten optional 8–12-minute extrasYear 7 Maths · T1 W3–4 · Daily Extras

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After-lesson extras for a local timetable, small group or home. One is enough. Use paper, speech/AAC, typed text, large/tactile pieces or a screen reader; no device, purchase or personal story is required. Day15/20 extras are after the fresh check.

Day Extra task Low-material route Check / next move
11 Make 3/4+1/8=7/8 in two ways: eighths and a same-whole strip. Fold/draw one strip. Each representation has one whole and consistent part size.
12 Order the estimates for 4.75+2.60: 7, 8, 70. Explain which detect a decimal shift. Spoken choices. 7 or8 may be plausible coarse estimates;70 is not. Exact7.35.
13 Compute 1/2×1/4=1/8 by shaded overlap, then rotate partitions. Eight-cell rectangle. Reversing factors keeps the product.
14 Explain 1.5÷0.5=3 and 1.5×0.5=0.75 on one number line. Paper tick marks. Group count and scaling are different operations.
15 After check: find 3/5+1/10=7/10 and make a matching 0–1 sketch. Ten equal marks. No held-out check value is reused.
16 Start84 as7×12 and4×21; compare prime leaves. Factor cards. Both produce 2²×3×7.
17 Evaluate 3³×2=54, then factor54 back into primes. Card list. 3³=27, not9.
18 Show 90/150=9/15=3/5 by two valid common-factor steps. Written fractions. 90/150 and3/5 have the same value.
19 Link 49=7² to √49=7, then contrast 7² with 2⁷. Large number cards. 7²=49;2⁷=128.
20 After check: factor120 and169; identify which is square and verify the root. Paper tree/grid. 120=2³×3×5; 169=13², root13.

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