Unit 5 Probability
Intent
The intention of this unit is to secure and build upon knowledge from Key Stage 2 and to introduce new concepts that lay the foundations of key concepts that will underpin units in Year 8 and Year 9 such as
The introduction of the language of probability
We want all students to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with
Using probabilities to decide on winning strategies in games of chance
Implementation
For each strand in the unit students begin with lessons refreshing primary knowledge before new concepts are introduced. At the end of each strand there are revision and mastery lessons to consolidate and ensure all students have picked up on new ideas.
From the 3rd week of the unit students will complete a weekly knowledge check so they can measure how their knowledge and expertise is building before the test.
During this unit there will be two longer written homework tasks which include a skills check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work.
Impact
The impact of this unit of work will be measured through a 45 minute written assessment. The assessment will feature questions similar to the skills check and homework tasks. The assessment will cover every aspect of the unit of work and using the knowledge organiser together with this website is a great way to prepare for the test.
Topics covered in this unit:
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See skills in bold from the 'Core' list to the right- up to 46d.
Core
29d List the possible outcomes of an experiment
32d Describe likelihood using the language of probability
37d Decide if events are random or not or fair or not
39d Calculate probability based on equally likely outcomes
44d Use the fact that probabilities sum to 1
45d List possible combinations and use your list to calculate probabilities
50d Define mutually exclusive and calculate the probability of either event happening
53d Calculate probability based on relative frequency
54d Work out the expected number of successes given the probability and number of trials
57d Understand that by increasing sample size outcomes will tend towards theoretical probabilities
46d Sort sets of numbers into a Venn diagram
61d Use set notation including {},A´, Ø, ∩ and U to refer to Venn diagrams