Myths about teaching can hold you back
- Year 9
- Year 9
Equally likely outcomes
I can state when outcomes will be equally likely.
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Lesson details
Key learning points
- A set of possible outcomes can be stated.
- Outcomes can be evaluated to decide how likely they are.
- Outcomes with the same likelihood can be identified.
Keywords
Outcome - An outcome is a result of a trial.
Likelihood - Likelihood describes the chance that a particular event will occur.
Trial - A trial is a single predefined test.
Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.
Common misconception
Rolling a 6 on a dice is less likely to happen than rolling other numbers. Or ticket 001 is less likely to be drawn in a raffle than other tickets.
The random nature of picking a raffle or rolling a dice means all outcomes are equally likely as each other.
To help you plan your year 9 maths lesson on: Equally likely outcomes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Equally likely outcomes, 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 3 maths lessons from the Probability: possible outcomes 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.Select all the numbers that are multiples of 3.
Q2.Select all the numbers that are factors of 3.
Q3.What fraction of the circle is shaded?
Q4.In which diagrams is half of the circle shaded?
Q5.Jun wants to shade in $${1}\over{3}$$ of this whole circle. Jun should shade in sectors of the circle.
Q6.Match each letter to the fraction of the circle that is labelled with that letter.
a -
$${1}\over{4}$$
b -
$${1}\over{3}$$
c -
$${5}\over{12}$$
Assessment exit quiz
6 Questions
Q1.Match each key words with its definition.
trial -
a single predefined test
outcome -
a result of a trial
sample space -
all the possible outcomes of a trial
likelihood -
describes the chance that a particular event will occur
Q2.Complete the following sample space for the outcomes of the spinner. ξ = {A, I, L, R, }.
Q3.In which spinners are the outcomes 'win' and 'lose' equally likely?
Q4.Which outcomes are equally likely in this spinner?
Q5.In which spinners are all the outcomes equally likely?
Q6.A regular six-sided dice is rolled once. In which sample space are the outcomes equally likely?