Set notation
I can use formal language for set notation and see how it relates to various representations.
Set notation
I can use formal language for set notation and see how it relates to various representations.
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Lesson details
Key learning points
- Set notation is a shorter way of writing probability statements
- The notation relates to certain aspects of a probability tree
- The notation relates to certain aspects of a two-way table
- The notation relates to certain aspects of a Venn diagram
- The notation relates to certain aspects of a frequency tree
Keywords
Probability - The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Tree diagram - Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.
Common misconception
Pupils may think that A ∪ B means 'to be either from A or B (but not both)'.
A ∪ B represents all members that satisfy at least one of the events A or B. So it could be from A, from B or from both A and B.
To help you plan your year 11 maths lesson on: Set notation, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Set notation, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Conditional probability unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In which of these situations is it not possible to work out a theoretical probability?
Q2.Izzy rolls a die 4 times. The dice lands on a '6' three times. Which of these statements are correct?
Q3.A spinner contains three letters: A, B and C. The tables show results from four experiments with the spinner. Which experiment will produce the most reliable set of experimental probabilities?
Q4.The table shows the theoretical probabilities of taking a counter of a specific colour out of a bag of counters. In 1000 trials, the number of times you should expect to draw a green counter is .
Q5.A box contains 100 counters. A counter is drawn, its colour noted and replaced. The results are in the table. Estimate how many green counters are in the box.
Q6.A class investigates whether a 6-sided die is biased. The table shows the results. Estimate the probability of the die landing on a factor of 6. P(factor of 6) = (as an unrounded decimal).
Assessment exit quiz
6 Questions
Q1.Which symbol is used to represent the universal set?
Q2.What does this symbol represent: ∩ ?
Q3.What region is shown shaded in this Venn diagram?
Q4.ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, A = {multiples of 4}, B = {factors of 12}. Find P(A' ∩ B).
Q5.Which combination of events is highlighted in the tree diagram?
Q6.Lucas and Izzy each play one game of chess that they can either win or lose. P(Lucas wins ∪ Izzy wins) = (give your answer as a decimal).
