Tangent Ratio — Error Log Deck
A 15-card flashcard deck on tangent ratio for Grade 6 Math. Cards climb the recall ladder — term, meaning, worked, contrast, retrieval — and every card carries a hint, a mnemonic and the misconception it is designed to catch.
Built from the misconceptions this subtopic reliably produces.
Study the deck
Card 1 of 15 · 0 rated · term first
Answer out loud, then tap to flip
Deck details
TF-MATH-GR6-24127
v1.5
Grade 6
Math
Trigonometry
Tangent Ratio
Error Log Deck
National Curriculum (UK)
15
9 min
Mixed
Term → meaning
Learning objectives
- Recall the tangent ratio vocabulary without prompting.
- State what the tangent ratio rule claims in the student's own words.
- Reproduce the method on a routine math example from memory.
- Separate tangent ratio from the neighbouring idea in trigonometry.
How to study this deck
- Read the front, answer out loud, then flip. Guessing silently does not count as recall.
- Use the hint only after your first attempt.
- Rate every card Again, Hard or Good. Anything rated Again comes back before the deck ends.
- Run the deck daily until every card is rated Good twice in a row.
The recall ladder
Cards are sequenced so recognition never stands in for recall.
Term
Name the idea and its key vocabulary.
4 cards
Meaning
Say what the rule actually claims.
4 cards
Worked
Recall the method on a routine example.
3 cards
Contrast
Tell this idea apart from its nearest neighbour.
2 cards
Retrieval
Unprompted recall in an unfamiliar context.
2 cards
Spaced repetition schedule
- Session 1 · Day 0
Full deck, hints allowed. Aim for coverage, not accuracy.
- Session 2 · Day 1
Only cards rated Again or Hard.
- Session 3 · Day 3
Full deck, no hints. Note which stage still slips.
- Session 4 · Day 7
Reverse the deck — meaning first, you supply the term.
- Session 5 · Day 14
Retrieval cards only, then take the subtopic quiz.
Every card in this deck
The teacher view: 15 fronts and backs with the misconception each card catches.
Teacher notes
- Run the term cards as a two-minute entry ticket; it tells you who is ready for tangent ratio.
- Ask students to say the back out loud before flipping — silent recognition inflates confidence.
- Project the printable version and cold-call across the class rather than asking for volunteers.
- Pair the deck with the Tangent Ratio quiz so recall is checked under pressure.
Memory hooks
- Tangent Ratio = one rule, one relationship.
- Rules survive because something is preserved.
- Inputs first, method second.
- Different inputs, different rule.
- Say it, prove it, use it, guard it.
Common student mistakes
- Describing an example of tangent ratio instead of defining it.
- Saying it works because the numbers get smaller or easier.
- Jumping to a method before checking which quantities are involved.
- Confusing tangent ratio with a neighbouring idea because the answers look alike.
- Recalling the wording but being unable to apply it.
What to do next
- Under 60% recall: work the Starter Deck, then the Tangent Ratio worksheet.
- 60–85% recall: repeat tomorrow with hints off, then run the Reverse Deck.
- Above 85% recall: take the Tangent Ratio timed quiz and move to the next subtopic.
- Ask the AI Tutor to re-teach any card you rate Again twice.
Switch deck
Same subtopic · same objectives · different recall run
Frequently asked
- How does the rating work?
- Rate each card Again, Hard or Good. Cards rated Again are pushed back into the queue and reappear before the session ends, so the deck cannot finish while an idea is still missing.
- When should I run this deck again?
- Follow the five-session schedule on this page: day 0, day 1, day 3, day 7 and day 14. Each session narrows to what you still get wrong.
- What should I do with weak recall?
- Work the Tangent Ratio practice worksheet, then rerun this deck with hints off. If the same card fails twice, ask the AI Tutor to re-teach it.
Related resources
Work through tangent ratio with a tutor if the retrieval cards keep coming back.
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