Free IB Maths AA SL lesson: Function notation, domain & range
A ready-to-teach IB Maths AA SL lesson on Function notation, domain & range (Unit 2 · Functions): editable slides and teacher notes, free; a printable worksheet in 3 levels with answers for school plans. About 55 minutes.
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What's inside
- Slides (PowerPoint, editable) · freeabout 12 slides: do now, objectives, key ideas, a worked example step by step, “your turn”, practice QR code, exit ticket
- Teacher notes (PDF) · freelesson plan with timings, common mistakes, homework links
- Worksheet (PDF) · school plans6 questions, 21 marks: Fluency, Reasoning, Exam-style. Included with school plans and the teacher trial.
- Answers (PDF) · school plansthe answer to every worksheet question, from its mark scheme. Included with school plans and the teacher trial.
Learning objectives
- Function Notation, Domain & Range
- Restricting the Domain So an Inverse Exists
Key ideas on the slides
- A function assigns exactly one output to each input; a vertical line meets its graph at most once.
- The domain is the set of allowed inputs; exclude values giving division by zero, the square root of a negative, or the log of a non-positive number.
- The range is the set of outputs: sketch the graph over the domain and read the y-values.
- Write domains and ranges with inequalities or intervals: x ≥ 2, 0 < y ≤ 5, {x: x ≠ 3}.
By the end of the lesson, students should be able to answer a question like: Find the largest domain and the range of f(x) = √(x − 5).
Key vocabulary
- domain: The set of input values.
- range: The set of output values.
- one-to-one: Each output comes from exactly one input.
- many-to-one: Some outputs come from more than one input.
Common mistakes this lesson tackles
- Giving the range in terms of x.
- Leaving out an end point or using < instead of ≤.
- Forgetting a restriction such as x > 0 for ln x.
Calculator tips
- Graph the function over its domain and use trace/min/max to see the range.
Where this lesson fits
Function notation, domain & range is in Unit 2 · Functions of the IB Maths AA SL scheme of work.
- The lesson before: Applications: compound interest & depreciation (scheme-of-work lessons: Compound interest, depreciation and financial maths)
- The next lesson: Key features of graphs & intersections with technology (scheme-of-work lessons: Functions: domain and range)
Lesson plan
| 0–5 min | Do now: students write down what they remember about Applications: compound interest & depreciation and Direct proof |
| 5–8 min | Share the learning objective and success criteria |
| 8–20 min | Teach: the worked example, step by step; students copy the method |
| 20–25 min | Your turn: 1 mini-whiteboard question; check every board before moving on |
| 25–42 min | Practise: the worksheet (6 questions in 3 levels, with school plans and the teacher trial) or the topic's practice questions online; move up a level after two right in a row |
| 42–47 min | Plenary: 1-question exit ticket; collect it to plan the next lesson |
For students: practise this topic
The worksheet's QR code opens the IB Maths AA SL Unit 2: Function fundamentals practice questions.
With a school plan
Set Function notation, domain & range as homework marked by AI, print this lesson's levelled worksheet with answers, and rebuild the lesson for your class with Create lesson. Free for 30 days as a teacher, no card.
Is it free, can I edit the slides, what do students use for homework? See questions teachers ask.