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IB Math AA SL

Math AA SL Exam Skills & Techniques

Master the IB Mathematics: Analysis and Approaches SL exam. Paper structures, command terms, marking criteria (M/A/R), exact-value technique for the non-calculator Paper 1, and GDC strategy for Paper 2.

150 teaching hours • 2 external papers • 1 internal assessment (Exploration)

Start Studying Math AA SL

Math AA SL Assessment at a Glance

40%
Paper 1
No calculator • 1h 30m
40%
Paper 2
GDC required • 1h 30m
20%
Internal Assessment
Exploration • 12–20 pages

Math AA SL Paper Structure

Know exactly what to expect in each paper and how to maximise your marks.

Paper 1

No calculator
1 hour 30 minutes•80 marks•40% of final grade

What to expect:

NO calculator — all work done by hand
Section A: shorter questions; Section B: extended questions
Answers must be exact: surds, fractions, and multiples of π
Tests algebraic fluency, calculus, and trigonometry technique

Key Tips

  • Give exact answers — a decimal where an exact value is expected loses the accuracy mark.
  • Know your exact trig values and surd manipulation cold; there is no GDC to fall back on.
  • Show every line of algebra — method marks are awarded independently of the final answer.

Easy Marks

  • State a derivative or integral of a standard function
  • Write down the coordinates of a turning point from a completed square
  • Solve a linear or simple quadratic equation exactly

Watch Out

  • Decimal answers where an exact value is required score no accuracy mark
  • "Show that" / "Prove" need every step — you cannot assume the result
  • Keep surds and fractions exact throughout; do not round mid-question

Paper 2

Technology-active (GDC)
1 hour 30 minutes•80 marks•40% of final grade

What to expect:

GDC required throughout
Section A: shorter questions; Section B: extended questions
Covers the whole SL syllabus, with statistics and calculus prominent
The calculator supports method — it does not replace shown working

Key Tips

  • Write down what you entered and what the GDC returned — evidence of method earns marks.
  • Use the GDC to solve equations, find intersections, and evaluate definite integrals quickly.
  • Check your GDC is in the correct angle mode (radians vs degrees) for the question.

Easy Marks

  • Solve an equation graphically using the GDC
  • Evaluate a definite integral numerically with the GDC
  • Find a normal or binomial probability from the GDC

Watch Out

  • Answers with no working shown can score zero even if correct
  • Round only at the end — keep full GDC precision in working
  • Radian vs degree mode errors cascade through trig questions

Math AA SL Command Terms

Command terms tell you exactly what the examiner expects. Filter by Assessment Objective (AO).

Write down1–2 marks

Read off or state the answer directly — no working needed. In Paper 1 this often means an exact value spotted from a graph or expression.

State1 mark

Give a single short answer: a value, a term, or a name. No explanation or working required.

Find2–4 marks

Obtain the answer and show enough working to follow. In Paper 1 (no calculator) work by hand and give an exact answer; in Paper 2 you may use the GDC.

Solve2–5 marks

Find every value that satisfies the equation. In Paper 1 give exact solutions (surds, fractions, multiples of π); do not give decimals.

Show that2–4 marks

The result is printed in the question — your job is to derive it. Show every step from the start; never work backwards from the given answer.

Prove3–6 marks

Establish a result rigorously with a clear chain of logical, justified steps (proof by deduction at SL). Each line must follow from the previous one.

Hence2–4 marks

You must use the result from the previous part. Starting again with a different method risks losing the marks for this part.

Hence or otherwise2–4 marks

Using your previous answer is usually quickest, but any correct method earns full marks — the choice is yours.

Sketch2–4 marks

Draw a rough graph showing the key shape, intercepts, asymptotes, and turning points. Exact scale is not required — clear labelling is.

Determine2–4 marks

Work out the one correct answer the information leads to, showing the reasoning that fixes it uniquely.

Justify2–4 marks

Give the mathematical reasons your answer must be correct — not just the answer itself.

Interpret1–3 marks

Explain what a value or result means in context. A bare numerical answer does not earn the interpretation mark.

What Examiners Expect

Match your answer depth to the marks available.

M marks (Method)Awarded for a correct mathematical method, even if an arithmetic slip follows.

Example questions:

  • "Differentiating a function correctly before substituting"
  • "Setting up the correct equation before solving"
  • "Applying the correct trig identity or algebraic technique"

Show your method clearly — you can earn M marks even when the final answer is wrong.

A marks (Accuracy)Awarded for a correct answer (or one that follows correctly from an earlier error — follow-through).

Example questions:

  • "A correct exact answer in Paper 1 (surd / fraction / π form)"
  • "A correct simplified expression after valid manipulation"
  • "A follow-through value consistent with an earlier mistake"

In Paper 1 the accuracy mark usually needs an EXACT answer — decimals are not accepted.

R marks (Reasoning)Awarded for valid mathematical justification, often in "justify", "hence", or proof questions.

Example questions:

  • "Explaining why a stationary point is a maximum using the second derivative"
  • "Justifying a conclusion from a derivative or discriminant"
  • "A clearly reasoned step in a proof"

Write a sentence of reasoning — R marks are lost when working stops at the number.

AG (Answer Given)"Show that" and "Prove" questions print the result. You must derive it from first principles.

Example questions:

  • "Show that the discriminant equals 0"
  • "Prove the identity (1 − cos²θ)/sinθ = sinθ"

No marks if you assume or work backwards from the given answer — start from the beginning.

Math AA SL-Specific Skills

These concepts appear throughout Math AA SL exams. Master them to score higher.

Train for the no-calculator Paper 1

Paper 1 is sat without a GDC. Drill exact trig values, surd and fraction arithmetic, by-hand differentiation and integration, and algebraic factorising until they are automatic.

Exact, or 3 significant figures

The IB rule (printed on both papers): unless told otherwise, give answers exactly — surds, fractions, multiples of π — OR correct to three significant figures. Paper 1 (no calculator) wants exact form; in Paper 2 round GDC results to 3 s.f.

Set out proofs as logical steps

SL proof is deductive: start from what is given, justify each line, and end at the required result. Never work backwards from the answer in a "show that" or "prove" question.

Master the formula booklet

The AA SL formula booklet is provided in both papers. Learn which formulas are given (and which — like the quadratic formula and standard derivatives — you must recall) so you never waste time.

Calculus and functions carry the paper

Differentiation, integration, and function transformations recur in almost every AA SL exam. Practise optimisation, tangents/normals, and definite integrals until the method is second nature.

Common Math AA SL Mistakes to Avoid

Learn from others' mistakes. These cost students marks every exam session.

Giving decimals in Paper 1

Paper 1 expects exact answers. Leave results as surds, fractions, or multiples of π unless the question explicitly asks for a rounded value.

Skipping steps in "show that" / "prove" questions

The result is given — you must derive it. Show every line of working from the start; you earn nothing for restating the answer.

Wrong calculator angle mode in Paper 2

Check whether the question is in radians or degrees and set your GDC to match before any trig calculation.

A correct answer with no working

Full marks are not guaranteed for an unsupported answer — show your method, since method marks can rescue a wrong final answer. In the Paper 2 GDC paper, also sketch any graph you use to find a solution.

Rounding intermediate working

Keep full exact (Paper 1) or full GDC (Paper 2) precision until the final step. Early rounding causes accuracy errors in later parts.

Confusing "hence" and "hence or otherwise"

"Hence" means you must use the previous result; "hence or otherwise" allows any method. Ignoring "hence" can cost the method marks.

Forgetting the constant of integration

Every indefinite integral needs "+ C". For definite integrals, substitute the limits — do not leave the constant in.

Mathematical Exploration

20% of final grade • 12–20 pages

A written investigation in which students explore a mathematical topic of personal interest. The Exploration must demonstrate mathematical communication, personal engagement, reflection, and correct use of mathematical language and notation.

Marking Criteria

A: Presentation4 marks
B: Mathematical Communication4 marks
C: Personal Engagement3 marks
D: Reflection3 marks
E: Use of Mathematics6 marks

Tips for Top Marks

  • Choose a topic you genuinely find interesting — personal engagement (Criterion C) is marked separately.
  • Use correct notation throughout: define every variable and use standard mathematical symbols.
  • Aim for mathematics at SL level or above — analysis, calculus, or proof, not just arithmetic.
  • Include a limitations and reflection section to show critical thinking (Criterion D).
  • Show and justify every calculation — do not assume the reader can fill in the gaps.
  • Proofread notation carefully: a misused symbol can cost presentation and communication marks.

Ready to Practice?

Apply these exam skills with our Math AA SL practice questions. Get instant AI feedback that shows exactly what scored marks and how to improve.

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