PSLE Learner’s Guide · Volume 0768
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Read per as for each reference unit; in context it can express allocation, a unit rate, every hundred, or according to an instruction.
Series routes: Use the complete PSLE Learner’s Guide volume directory, the original PSLE Learning Guide and the English learning hub, Mathematics learning hub, Science learning hub.
This guide uses original Primary 6 practice and does not predict a live question. Consult the SEAB PSLE formats examined in 2026 page for official information.
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CHAPTER 1 OF 12 · Back to contents
1. Read the for-each meaning
Three cards per pupil means three cards for each pupil. The noun after per supplies the reference unit.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
- Check reference unit after per.
- Check quantity for each unit.
- Check per hundred percentage.
- Check instruction or source scope.
CHAPTER 2 OF 12 · Back to contents
2. Build a unit rate
Sixty kilometres per hour links a distance to one hour. Preserve both quantity and time units when calculating or comparing.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 3 OF 12 · Back to contents
3. Decode percent
Per cent literally means per hundred. Twenty-five percent means 25 for every 100 of the stated whole.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 4 OF 12 · Back to contents
4. Read according to
As per the instructions means according to the instructions. Identify which instruction applies rather than treating per as a numerical rate.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 5 OF 12 · Back to contents
5. Keep the denominator visible
The unit after per controls the rate. Dollars per kilogram and kilograms per dollar answer reciprocal questions.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 6 OF 12 · Back to contents
6. Separate total from rate
A per-unit value does not give a total until the number of reference units is known. Multiply or divide only after naming the wanted quantity.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 7 OF 12 · Back to contents
7. Control scope and conditions
A rate applies under the stated interval or condition. Do not extend a measured per-minute rate to a longer period when the process changes.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 8 OF 12 · Back to contents
8. Control examination work
Circle the unit after per, paraphrase for each or according to, write the rate as a fraction when helpful and attach the complete unit to the answer.
Build the explanation by naming reference unit after per and quantity for each unit. A remembered keyword is not enough: connect the observation to the mechanism and identify what would have to change for the conclusion to change.
Repair the nearest misconception by checking per hundred percentage and returning to instruction or source scope. State why the tempting alternative is too strong, incomplete or about a different stage.
CHAPTER 9 OF 12 · Back to contents
9. Worked examples
Worked case 1: Three notebooks are given per pupil. What does per mean?
Controlled answer. for each pupil. Pupil is the reference unit.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Find the total for 28 pupils. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “for each pupil” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 2: A car travels 72 kilometres per hour. What is the reference unit?
Controlled answer. one hour. The rate gives 72 km for each hour under the stated motion.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Find the distance in 2.5 hours. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “one hour” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 3: A tap delivers 6 litres per minute. How much in 8 minutes at the same rate?
Controlled answer. 48 litres. Multiply 6 litres for each minute by 8 minutes.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. State the constant-rate assumption. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “48 litres” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 4: What does 35 percent mean?
Controlled answer. 35 per hundred. The denominator reference is 100 of the whole.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Find 35% of 240. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “35 per hundred” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 5: Repair: $4 per kilogram means 4 kilograms for each dollar.
Controlled answer. It means $4 for each kilogram. The unit after per is the reference unit.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Write the reciprocal rate if needed. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “It means $4 for each kilogram” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 6: Repair: 5 metres per second has the unit seconds per metre.
Controlled answer. Its unit is metres per second. Distance is the measured quantity and second is the reference time unit.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Explain the reciprocal. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “Its unit is metres per second” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 7: As per the diagram, label point A. What does per mean?
Controlled answer. according to. The diagram supplies the referenced instruction or representation, not a denominator for a rate.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Rewrite in plainer formal English. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “according to” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 8: Is as per always the clearest wording?
Controlled answer. No. According to or as shown in can often be clearer, especially in school answers.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Choose the precise alternative. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “No” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 9: A plant grew 2 cm per week for three measured weeks. Can we guarantee 20 cm in ten weeks?
Controlled answer. No. The rate may change outside the observed interval.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. State a conditional estimate instead. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “No” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 10: A heart rate is 80 beats per minute. What is counted?
Controlled answer. 80 beats for each minute. Beats are the numerator quantity and minute is the reference interval.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Estimate beats in 15 seconds if the rate stays constant. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “80 beats for each minute” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 11: Which is cheaper: $6 per 2 kg or $4 per kg?
Controlled answer. $6 per 2 kg, which is $3 per kg. Convert both to the same reference unit.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Find the saving for 6 kg. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “$6 per 2 kg, which is $3 per kg” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
Worked case 12: Why are $/kg and kg/$ not interchangeable?
Controlled answer. They are reciprocal rates answering different questions. One gives cost for each mass unit; the other gives mass bought for each dollar.
Mechanism. Identify the exact relationship, apply the relevant rule and preserve every stated condition. A surface clue may be compatible with several explanations, so the answer must show what makes this case decisive.
Misconception repair. Do not turn partial evidence into complete proof. Name the closest wrong answer, identify its missing condition and explain why the observed evidence supports the narrower conclusion.
Transfer. Use units to choose an operation. Solve the altered case from the mechanism rather than copying the previous wording.
Reverse construction. Begin with the controlled answer “They are reciprocal rates answering different questions” and invent a fresh prompt that would justify it for the same reason. Then change one decisive condition to create a near-nonexample. This reverse task checks whether the learner owns the boundary rather than merely recognising the original sentence.
Explanation standard. A complete explanation names the observation, connects it to the rule and limits the conclusion to what follows. It should remain valid if decorative details are removed. If the explanation depends on the story topic instead of the decisive relation, rebuild it.
Audit. Recheck reference unit after per, quantity for each unit, per hundred percentage, instruction or source scope. Decide whether the evidence proves the conclusion or only supports a limited statement.
CHAPTER 10 OF 12 · Back to contents
10. Independent practice
Practice 1: A class has 2 rulers per table and 9 tables. How many rulers?
Explained answer. 18 rulers. Multiply the per-table allocation by the table count.
Delayed transfer. Reverse the question. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 2: Eighteen rulers serve 9 tables equally. What is the rate?
Explained answer. 2 rulers per table. Divide total rulers by table count.
Delayed transfer. Identify numerator and reference unit. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 3: What does 0.5 g per cm³ describe?
Explained answer. mass for each cubic centimetre. The compound unit links mass and volume.
Delayed transfer. Do not drop the cubic symbol. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 4: Why should units be carried through arithmetic?
Explained answer. They reveal what each number measures and whether the resulting rate answers the question. Unit cancellation and alignment help expose reversed division.
Delayed transfer. Audit a speed calculation. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 5: A printer produces 20 pages per minute for 3 minutes, then slows. Is 20 the whole-job average?
Explained answer. Not necessarily. The stated rate applies only to the first interval.
Delayed transfer. Use total pages and total time for the full average. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 6: What is the reference in 4 errors per 100 words?
Explained answer. 100 words. The error count is normalised to a fixed word count.
Delayed transfer. Compare two texts on the same basis. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 7: How does per connect to a fraction?
Explained answer. Place the measured quantity over the reference unit. Kilometres per hour can be written km/h.
Delayed transfer. Translate litres per minute. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
Practice 8: State the full method.
Explained answer. Identify the unit after per, paraphrase for each or according to, preserve the numerator and denominator units, calculate only within stated conditions and check whether the question asks for a rate or total. The method controls language, units and inference across subjects.
Delayed transfer. Apply it to one English, one Mathematics and one Science example. Cover the answer later and rebuild the chain.
Control question. Which exact condition does the nearest wrong answer miss? State it before checking.
Extension. Change one decisive feature while keeping the story similar. Explain why the conclusion now stays or changes.
Independent proof. Restate the answer without copying its wording. Your version must identify the evidence, the governing relationship and the boundary of the claim. Then write one fact that would be relevant but still insufficient on its own. This separates explanation from repetition.
Delayed comparison. Save this item beside the near-nonexample you created. On the next attempt, compare them before answering and point to the single feature that controls the difference. If more than one feature changed, revise the pair so the comparison stays fair.
CHAPTER 11 OF 12 · Back to contents
11. Delayed transfer
On day one, solve clear examples. On day three, mix examples, near-nonexamples and incomplete evidence. On day seven, solve without headings or a word bank. Delay reveals whether the method can be reconstructed independently.
Keep an error log for the first failed stage: reading, representation, rule, execution or checking. The earliest failure identifies the repair.
Interleave this skill with neighbouring ideas that share vocabulary. Classify each item only after naming the distinguishing condition.
In timed work, mark the relationship, apply the rule, write the conclusion and audit one condition. If checking changes the answer, record the overlooked feature.
Create a teach-back card with a near-nonexample on the front and the repaired mechanism on the back. Explain why the tempting answer fails.
Finish with one basic example, one boundary case and one transfer case. Supply explanations that a classmate can verify.
For a second delayed test, reverse the direction: start from a conclusion and invent evidence that would justify it, then evidence that would be insufficient. This exposes the boundary between relevance and proof.
CHAPTER 12 OF 12 · Back to contents
12. Family guidance and FAQs
Guidance for parents and tutors
Ask for the decisive condition before confirming the answer. Use prompts such as “What exactly happened?”, “Which stage or meaning is this?” and “What would prove it?”
Fade support from labelled examples to mixed questions and delayed open response. Independent retrieval after time and topic change is the target.
Praise precise claim control. Narrowing an answer when evidence is incomplete is scientific and academic strength.
Frequently asked questions
Should I memorise the rule?
Memorise the compact rule, then practise examples and near-nonexamples so the conditions remain visible.
What if two answers seem possible?
Return to the exact relationship and choose the option satisfying every stated condition without adding facts.
Why delay practice?
Immediate repetition may depend on the recent explanation; delay tests reconstruction.
How should an error be corrected?
Name the first failed stage and practise it with a changed example.
When is the skill ready?
When the learner can explain, apply and transfer it after a delay.
What is the final audit?
Check relationship, mechanism, claim strength and whole-question fit.
Next routes
Continue at the English, Mathematics and Science learning hub or return to the series directory.