Probability

Term 3 starting in week 7 :: Estimated time: 2 weeks

Single event probability (review)
Relative frequency - include convergence
Expected outcomes
Independent events
Use diagrams to work out probabilities

For higher-attaining pupils:

Use tree diagrams
Use tree diagrams to solve 'without replacement' problems

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Activities for pupils

Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

Dice Bingo Choose your own numbers for your bingo card. The caller uses two dice and adds the numbers together.

Dice Investigation Throw two dice and multiply the scores. Investigate the different products you can obtain. What about adding? What about using three dice?

Probability Basic probability questions in an online exercise.

Probability Video A reminder of how to work out basic probability leading to simple combined events and expected values.

Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.

Tree Diagrams Video Tree diagrams can be really helpful showing combinations of two or more events in order to calculate probabilities.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Probability Probability is a measure of the weight of evidence, and is arrived at through reasoning and inference. In simple terms it is a measure or estimation of likelihood of the occurrence of an event. The word probability comes from the Latin word probabilitas which is a measure of the authority of a witness in a legal case. Some of the earlier mathematical studies of probability were motivated by the desire to be more profitable when gambling. Today however the practical uses of probability theory go far beyond gambling and are used in many aspects of modern life. We believe that even adults can, in many cases, have a poor intuition regarding the effects of probability. These activities are designed to help pupils calculate but also get a 'feel' for the principles of probability.

Lesson Starters

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

1st Lesson

Tran's Hats

In how many different ways might Tran decide to wear his hats in one week?

2nd Lesson

Positions Please

Stand at the point between the classroom walls to represent a given number.

3rd Lesson

Just Four Questions

Four mathematical questions to think about at the beginning of the lesson.

4th Lesson

Windmill Sequence

Find the value of the missing term of the sequence. It is easier than you may think!

5th Lesson

Missing digits

Find which digits are missing from the randomly generated calculations.

6th Lesson

Refreshing Revision

It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.

Probability Assessment

Assessment Answers

This Scheme of Learning was produced by White Rose Maths and is used here with permission granted on 30th June 2021.

Year 9 Scheme of Learning