Original assessment tasks 1 · two-digit multiplication
Compute 77 × 40 using four area-model partial products.
Singapore Math 5A · Independent learning
Chapter 3 — Review
Review and retrieve learning across the chapter. Write reasons and label units.
Original assessment tasks
Original assessment tasks 2 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “28 × 21 = 8. The only partial product is ones times ones.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Compute 28 × 21 using four area-model partial products.
Original assessment tasks 3 · two-digit multiplication
Compute 23 × 42 using aligned partial products.
Original assessment tasks 4 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “64 × 49 = 36. The only partial product is ones times ones.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Compute 64 × 49 using aligned partial products.
Original assessment tasks 5 · division by multiple of ten
Calculate 360 ÷ 30 using equivalent quotients.
Original assessment tasks 6 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “910 ÷ 70 = 910/69. I reduced only the divisor by one and did not verify with inverse multiplication.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Calculate 910 ÷ 70 using equivalent quotients.
Original assessment tasks 7 · two-digit division
Find 62 ÷ 29. State any remainder and check.
Original assessment tasks 8 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “75 ÷ 35 = 75/34. I reduced only the divisor by one and did not verify with inverse multiplication.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Find 75 ÷ 35. State any remainder and check.
Original assessment tasks 9 · long division
Divide 221 by 13; show quotient place values and the remainder.
Original assessment tasks 10 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “195 ÷ 15 = 195/14. I reduced only the divisor by one and did not verify with inverse multiplication.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Divide 195 by 15; show quotient place values and the remainder.
Original assessment tasks 11 · long division
Divide 310 by 16; show quotient place values and the remainder.
Original assessment tasks 12 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “559 ÷ 29 = 559/28. I reduced only the divisor by one and did not verify with inverse multiplication.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Divide 559 by 29; show quotient place values and the remainder.
Original assessment tasks 13 · long division
Divide 8,109 by 39; show quotient place values and the remainder.
Original assessment tasks 14 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “2540 ÷ 25 = 635/6. I reduced only the divisor by one and did not verify with inverse multiplication.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Divide 2,540 by 25; show quotient place values and the remainder.
Scoring guidance
Calculation items: 2 points for correct mathematics and units plus 1 for valid working. Notebook diagnosis tasks: 4 points, one each for identifying a specific faulty step, explaining the repair, solving accurately, and checking units/logic. Targeted transfer tasks: 4 points with detailed anchors in private teacher keys. Equivalent exact representations accepted; reviewers must examine explanations.