Myths about teaching can hold you back
- Year 9
Using a Venn diagram to display outcomes for more than two events
I can systematically find all the possible outcomes for more than two events by using a Venn diagram.
- Year 9
Using a Venn diagram to display outcomes for more than two events
I can systematically find all the possible outcomes for more than two events by using a Venn diagram.
Lesson details
Key learning points
- Possible outcomes for more than two events can be shown in a Venn diagram.
- The Venn diagram can be used to generate either an outcome tree or a list.
- A Venn diagram can be generated from either an outcome tree or a list.
Keywords
Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Common misconception
Pupils may struggle with the phrasing and language, when trying to identify the correct regions of the Venn diagram.
Encourage the pupils to describe each region of the Venn diagram, in context where appropriate.
To help you plan your year 9 maths lesson on: Using a Venn diagram to display outcomes for more than two events, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Using a Venn diagram to display outcomes for more than two events, 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.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Venn diagrams are a representation used to model statistical/probability questions. Usually are used to represent events.
Q2.A Venn diagram has a sample space of {integers from 1 to 16 inclusive}, event A = {square numbers} and event B = {odd numbers}. Select the outcomes that are in both event A and event B.
Q3.Which of these symbols represents the sample space on a Venn diagram?
Q4.This Venn diagram shows some sandwich orders. The choices are white (W) or brown (B) bread and the filling can be cheese (C) or ham (H). Which pupil had a cheese sandwich made with brown bread?

Q5.This Venn diagram shows some sandwich orders. You can have white (W) or brown (B) bread and the filling can be cheese (C) or ham (H). Which pupils had a ham sandwich?

Q6.Which outcome tree matches this Venn diagram?




Assessment exit quiz
6 Questions
Q1.Which of the Venn diagrams is always correct for three events?



Q2.Which description best describes the region that is shaded on this Venn diagram?

Q3.Which description best describes the region that is shaded on this Venn diagram?

Q4.This outcome tree shows a sample space, organised into three events. Where would {3, 5} be on a Venn diagram showing the same sample space?





Q5.Which of the outcomes from the sample space shown on the outcome tree would be in the shaded region of a Venn diagram showing the same information?

Q6.Match each numbered region on the Venn diagram to the correct outcomes.

region 1 -Â
{9}
region 2 -Â
{1}
region 3 -Â
{7, 11}
region 4 -Â
{2}
region 5 -Â
$$\emptyset$$
region 6 -Â
{4, 8, 12}