Original assessment tasks 1 · unit fraction sharing
Share 1/2 meter of ribbon equally among 4 people. How much does each receive?
Singapore Math 5A · Independent learning
Chapter 6 — 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): “Dividing 1/2 by 5 means multiplying, so I wrote 5/2 instead of finding the right group size.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Share 1/2 meter of ribbon equally among 5 people. How much does each receive?
Original assessment tasks 3 · fraction sharing
Divide 7/8 of a liter of juice into 5 equal portions. How many liters per portion?
Original assessment tasks 4 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “Dividing 5/8 by 3 means multiplying, so I wrote 15/8 instead of finding the right group size.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: Divide 5/8 of a liter of juice into 3 equal portions. How many liters per portion?
Original assessment tasks 5 · measurement division
How many 1/4-meter pieces can you cut from 3 meters of ribbon with no waste?
Original assessment tasks 6 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “6 ÷ 1/2 = 3; I multiplied instead of counting how many 1/2-size groups fit.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: How many 1/2-meter pieces can you cut from 6 meters of ribbon with no waste?
Original assessment tasks 7 · fraction group measurement
How many 4/5-liter-sized groups are in 6 liters? Count a partial final group as a fraction of a group.
Original assessment tasks 8 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “6 ÷ 5/6 = 5; I multiplied instead of counting how many 5/6-size groups fit.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: How many 5/6-liter-sized groups are in 6 liters? Count a partial final group as a fraction of a group.
Original assessment tasks 9 · sharing problem
4/5 kg of clay is shared among 3 students equally. How many kg does each student receive?
Original assessment tasks 10 · worked-error diagnosis
Error-analysis notebook: Learner notebook (REVIEW): “2 ÷ 1/2 = 1; I multiplied instead of counting how many 1/2-size groups fit.” Identify exactly which written step or assumption fails, correct it, and independently solve this new task: 2 kg of clay is divided into packets that each weigh 1/2 kg. How many packet-sized measures does that make? Count any partial packet as a fraction of a packet.
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.