Original assessment tasks 1 · measurement conversion
A strip measures 2 meters. Express its length in centimeters.
Singapore Math 5A · Independent learning
Chapter 7 — 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): “3/2 m = 3/200 cm; I divided when converting to the smaller unit.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A strip measures 1 1/2 meters. Express its length in centimeters.
Original assessment tasks 3 · fractional rectangle area
A rectangle has length 1 m and width 5/2 m. Find its area.
Original assessment tasks 4 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “2 m × 5/4 m = 5/2 m; I left the area in a linear unit.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A rectangle has length 2 m and width 5/4 m. Find its area.
Original assessment tasks 5 · triangle area
A triangle has a 4 cm base and perpendicular inside height 6 cm. Calculate its area.
Original assessment tasks 6 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Triangle area = 4 × 9 = 36 cm². I omitted the factor one half.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A triangle has a 4 cm base and perpendicular inside height 9 cm. Calculate its area.
Original assessment tasks 7 · triangle area
An obtuse triangle has a base extended past a vertex. The perpendicular outside height is 6 cm and the corresponding base is 14 cm. Find its area.
Original assessment tasks 8 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Triangle area = 12 × 10 = 120 cm². I omitted the factor one half.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: An obtuse triangle has a base extended past a vertex. The perpendicular outside height is 10 cm and the corresponding base is 12 cm. Find its area.
Original assessment tasks 9 · composite area
A rectangular garden is 9 m by 12 m. A 6 m by 4 m rectangular corner is removed. Find the remaining area.
Original assessment tasks 10 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “The missing corner ADDS area: 15×11+2×8=181 m².” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A rectangular garden is 15 m by 11 m. A 2 m by 8 m rectangular corner is removed. Find the remaining area.
Additional targeted transfer tasks
Answer from first principles. Include a model where requested. These questions are distinct from taught worked examples.
Transfer and model L02 · targeted mastery: grid
Calculate 3/5 m × 5/6 m by counting cells.
Transfer and model L05 · targeted mastery: geometry
A 8 m by 9 m rectangle has an outside right triangle of base 4 m, height 3 m, attached without overlap. Total area?
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.