Keep the skill; change the numbers
This worksheet helps you prepare one practice question and check its answer. It does not generate questions inside AhaDo. Write it yourself or use one approved assistant. Start with a question the learner can already explain, then keep that method. A new number is enough; the practice question does not need a surprise boss fight. If you arrived from the fraction error log, choose the fraction brief below instead of switching to equations. Use permitted material and remove learner names or other personal details.
Fraction route: if you came from the error log, replace P1 and P2 in the next step with these lines. Keep P3 and P4.
[P1] Original: 3/4 + 2/3 = 9/12 + 8/12 = 17/12.
[P2] Preserve addition of two positive proper fractions with different denominators. Use denominators from 2 to 6 and a sum between 1 and 2. No subtraction or mixed-number inputs. Check using equivalent fractions and comparison with 1 and 2.
Distribution route: if you came from the maths-mistake lesson about brackets, replace P1 and P2 in the next step with these lines. Keep P3 and P4. Remove the default “No brackets” rule; it belongs to the other brief.
[P1] Original: solve 3(x + 2) = 18. Distribute to both terms: 3x + 6 = 18, then 3x = 12, so x = 4. Check: 3 × (4 + 2) = 18.
[P2] Preserve multiplying every term inside one pair of brackets, then solving by the same operation on both sides. Use a positive whole-number multiplier greater than 1, a positive whole-number constant and a positive whole-number solution. No fractions, negative numbers, nested brackets or squared terms. Show the distribution line and check by substitution into the original brackets. A correct final number alone does not show this skill.
Use one practice brief, with one skill
Fictional teaching brief — equations.
[P1] Original question: solve 2x + 5 = 17. Checked solution: subtract 5 from both sides, then divide both sides by 2; x = 6. Check: 2 × 6 + 5 = 17.
[P2] Skill to preserve: undo addition, then multiplication, using the same operation on both sides. Use one variable, positive whole-number coefficients and a positive whole-number solution. No brackets, fractions, negative numbers or squared terms.
[P3] Prepare one new question with different numbers, one hint that does not give the answer, and a separate worked key with an independent check.
[P4] No new learner attempt is available. Do not claim mastery or a tested difficulty level.
Ask for a question, hint and separate key
Use only the supplied practice brief and keep its source labels. Make one new question that tests the stated skill and respects its number ranges, allowed operations and other limits. For the fictional P1–P4 examples, follow the selected P2; do not mix rules from the equation, fraction and brackets briefs. For another brief, follow its actual requirements. If the original question, target skill or required limits are missing or conflict, ask for clarification before drafting. Put the question under ‘Learner question’, one hint that does not reveal the answer under ‘Optional hint’, and the worked solution with an independent check under ‘Answer key — keep separate’. Explain what stayed the same and what changed. Check the answer against the original question and skill; for maths, check every calculation. Do not add an unrelated topic or claim measured difficulty, mastery or guaranteed success. Source:
Compare with a complete practice card
Equation card, using the first brief:
Learner question: solve 3x + 4 = 19.
Optional hint: which operation will remove the +4 while keeping both sides equal?
Answer key — keep separate: subtract 4 from both sides, giving 3x = 15. Divide both sides by 3, giving x = 5. Substitute: 3 × 5 + 4 = 19. The two sides agree.
Same skill: undo addition, then multiplication. Changed: coefficient, constant and right-hand side. Still one variable and positive whole numbers; no extra operation [P2].
Fraction card, only if you chose the fraction brief:
Learner question: calculate 2/3 + 3/5.
Optional hint: what equal-sized parts can represent both thirds and fifths?
Answer key — keep separate: 2/3 = 10/15 and 3/5 = 9/15, so the sum is 19/15. It is greater than 1 because 3/5 > 1/3, and less than 2 because each addend is less than 1.
Same skill: use a common denominator, add numerators and check the size. Changed: the fractions and common denominator. The denominator choices stay within P2.
These are authored practice examples, not tested difficulty levels. Choose one card. Copy only its question to the learner first, offer the hint if needed, and keep the key until they have tried. Do not copy this whole comparison as a learner handout.
Wrong change: “Solve 3x² + 4 = 19.” Repair: “Solve 3x + 4 = 19.” Removing the square restores the stated method; a different digit should not quietly introduce a different lesson.
Distribution card, only if you chose the bracket brief:
Learner question: solve 5(x + 2) = 35.
Optional hint: which terms inside the brackets must be multiplied by 5?
Answer key — keep separate: 5x + 10 = 35; subtract 10 from both sides to get 5x = 25; divide both sides by 5 to get x = 5. Substitute into the original: 5 × (5 + 2) = 35.
Same skill: multiply both terms inside the brackets before solving. Changed from P1: multiplier 3 → 5, right-hand side 18 → 35, solution 4 → 5. The inner constant remains 2; not every number needs to change.
Wrong first line: 5x + 2 = 35. Repair: 5x + 10 = 35, because 5 × 2 = 10. Dividing both sides by 5 first is a valid alternative solution, but does not show the requested distribution step. Ask for that line separately instead of marking the alternative wrong. Keep this key away from the learner until they have tried.
Solve it yourself before sharing
Read your selected P2 again. Does the new question require the same operations, with no new topic hidden in a bracket, sign or exponent? Are the numbers different from the original? Is there just one learner question? Does the hint leave the answer undisclosed? Are the key and its check complete and separate?
For the equation card, solve it without reading the key, then substitute your answer. For the fraction card, verify both equivalent fractions and the sum, then compare with 1 and 2. A size check alone cannot prove the exact fraction. If the key fails, fix the question or key and solve again before sharing. If the source is incomplete or you cannot verify the method, ask a teacher rather than presenting the draft as checked. Edit first, then tick the checks below.
For the distribution card, brackets are required by your selected P2. Check that both terms are multiplied: 5x + 10, not 5x + 2. Then check every equality and substitute x = 5 into 5(x + 2) = 35. Record the learner’s actual distribution line and any hint used; do not infer the method from the final answer.
Use the attempt to choose what comes next
Copy your checked card before leaving; this worksheet does not save edited text. Give only the selected question first and keep the hint and key separate. After the attempt, record the written steps, whether a hint was used, and what the learner can explain. If the method is clear, you may change the numbers once more within the same brief. If it is unclear, use the wrong-answer-log Task below with the actual working. Do not infer mastery from a single correct number or add a harder topic automatically. Completion here means you prepared a checked practice card; learner performance is still to be observed.
