Original assessment tasks 1 · unit cube counting
A block has 2 layers. Each layer is 3 cubes long and 2 cubes wide. How many unit cubes fill it?
Singapore Math 5A · Independent learning
Chapter 8 — 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): “I can count one face 3×2=6 and call it all 4 layers of cubes.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A block has 4 layers. Each layer is 3 cubes long and 2 cubes wide. How many unit cubes fill it?
Original assessment tasks 3 · cuboid volume
Find the volume of a cuboid that is 10 cm long, 2 cm wide, and 3 cm high.
Original assessment tasks 4 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Volume = length×width=9 cm²; I omitted the 5 cm height.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Find the volume of a cuboid that is 3 cm long, 3 cm wide, and 5 cm high.
Original assessment tasks 5 · missing cuboid edge
A rectangular box has volume 343 cm³. Its length is 7 cm and width 7 cm. Find its height.
Original assessment tasks 6 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Missing height=105÷3=35 cm. I ignored width 7 cm.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A rectangular box has volume 105 cm³. Its length is 3 cm and width 7 cm. Find its height.
Original assessment tasks 7 · composite volume
Two cuboids are placed next to each other without overlap. Cuboid A measures 5 × 4 × 3 cm; B measures 4 × 2 × 2 cm. What is their combined volume?
Original assessment tasks 8 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Combined volume = 200×60=12000 cm³; I multiplied disjoint cuboid volumes.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Two cuboids are placed next to each other without overlap. Cuboid A measures 5 × 8 × 5 cm; B measures 4 × 3 × 5 cm. What is their combined volume?
Original assessment tasks 9 · volume capacity conversion
A container holds 2,250 cm³ of liquid. Express this capacity in milliliters and liters.
Original assessment tasks 10 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “6000 cm³ = 6000 L; I treated a milliliter as a liter.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A container holds 6,000 cm³ of liquid. Express this capacity in milliliters and liters.
Original assessment tasks 11 · partial tank capacity
A tank has internal base 24 cm by 11 cm and is 23 cm tall. Water fills 16 cm of its height. Find water capacity in mL and empty capacity in mL.
Original assessment tasks 12 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Water volume=38×24×13=11856 mL, even though water height is only 8 cm.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: A tank has internal base 38 cm by 24 cm and is 13 cm tall. Water fills 8 cm of its height. Find water capacity in mL and empty capacity in mL.
Additional targeted transfer tasks
Answer from first principles. Include a model where requested. These questions are distinct from taught worked examples.
Transfer and model L01 · targeted mastery: layers
A 3×3 bottom layer is repeated four times. Find cubes in all layers.
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.