Basic probability (8300 - Foundation - Probability)

Topic:Basic probability

Specification references (in recommended teaching order)

Specification content Specification notes
P1
  • Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees

  • probabilities should be written as fractions, decimals or percentages

P4
  • Apply the property that the probabilities of an exhaustive set of outcomes sum to one
  • Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one


    P7
    • Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities



      The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

      The expectation is that:

      • All students will develop confidence and competence with the content identified by standard type
      • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
      • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

      Teaching resources

      Basic probability - all resources for 3 year route map - zip folder
      Downloadable resource in zip format. 24/06/2015
      Topic overview and lesson plans
      Downloadable resource in doc format. 24/06/2015

      Lesson 1 Activity 1
      Downloadable resource in ppt format. 23/06/2015
      Lesson 1 Activity 2
      Downloadable resource in doc format. 23/06/2015
      Lesson 1 Activity 3
      Downloadable resource in ppt format. 23/06/2015
      Lesson 2 Activity 1
      Downloadable resource in doc format. 23/06/2015
      Lesson 2 Activity 2
      Downloadable resource in ppt format. 23/06/2015
      Lesson 3 Activity 1
      Downloadable resource in ppt format. 23/06/2015
      Lesson 3 Activity 2
      Downloadable resource in ppt format. 23/06/2015
      Lesson 4 Activity 1
      Downloadable resource in ppt format. 23/06/2015
      Lesson 5 Activity 1
      Downloadable resource in ppt format. 23/06/2015
      Lesson 5 Activity 2
      Downloadable resource in ppt format. 23/06/2015
      Lesson 6 Activity 1
      Downloadable resource in ppt format. 23/06/2015

      Lesson 2 Worksheet 1 answers
      Downloadable resource in doc format. 23/06/2015
      Lesson 3 Worksheet 1
      Downloadable resource in doc format. 23/06/2015
      Lesson 4 Worksheet 1
      Downloadable resource in doc format. 23/06/2015
      Lesson 5 Worksheet 1 answers
      Downloadable resource in doc format. 23/06/2015
      Lesson 5 Worksheet 2 answers
      Downloadable resource in doc format. 23/06/2015
      Lesson 6 Worksheet 1
      Downloadable resource in doc format. 23/06/2015

      Lesson 1 Homework Sheet 1
      Downloadable resource in doc format. 23/06/2015
      Lesson 2 Homework Sheet 1
      Downloadable resource in doc format. 23/06/2015
      Lesson 3 Homework Sheet 1
      Downloadable resource in doc format. 23/06/2015
      Lesson 4 Homework Sheet 1
      Downloadable resource in format. 23/06/2015

      Diagnostic Questions - Basic probability 2
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths specification.26/04/2017
      Diagnostic Questions - Basic probability 3
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths specification.26/04/2017

      Sample Space Diagrams
      A powerpoint presentation on sample space diagrams with some questions at the end. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
      Three Scores
      An activity in which students trial three different ways of winning a dice game and decide which has the greatest theoretical probability of success.23/07/2015
      Two Dice Bingo
      Students choose their own numbers for a bingo gird. The numbers are crossed off if they appear as the scores of the total of two dice. 23/07/2015
      Which spinners?
      Students must decide which spinners have been used to generate the given bar charts and whether the sum or difference of the scores has been recorded. The later activities are more suitable for Higher tier students.23/07/2015

      Comparing experimental and theoretical probability
      Straightforward investigation in which students consider the relative frequency of events such as 'rolling a 2' from experimental and theoretical perspectives. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
      Drawing Pin Experiment
      A worksheet in which students carry out an experiment to find the relative frequency of a drawing pin landing point up.23/07/2015
      Mutually Exclusive / Exhaustive Events
      A worksheet on mutually exclusive and exhaustive events. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
      Probability of two dice - theory vs experiment
      Worksheet and activity to compare the theoretical and experimental probabilities of throwing two dice. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
      Studying sample space
      A range of scenarios in which students must design and complete a sample space diagram to find the relative frequency probability of a given event. 23/07/2015
      Three Scores
      An activity in which students trial three different ways of winning a dice game and decide which has the greatest theoretical probability of success.23/07/2015

      Lesson plan - Probability
      Lesson on relative frequency compared to theoretical probability14/05/2010
      Lesson Starter – Probability
      The use of probabilities in weather forecasting13/05/2010
      Probability - Dice outcomes - Worksheet
      Downloadable resource in doc format. 12/05/2010
      Probability - Game grid 1 - Worksheet
      Downloadable resource in doc format. 11/05/2010
      Probability - Game grid 2 - Worksheet
      Downloadable resource in doc format. 10/05/2010
      Probability - Homework sheet 1
      Downloadable resource in doc format. 05/05/2010
      Probability - Homework sheet 2
      Downloadable resource in doc format. 04/05/2010
      Probability - Homework Sheet 3
      Relative frequency, theoretical probability and their relationship03/05/2009
      Probability - Lesson plan
      Understanding and using the probability scale, basic probability words and notation, writing probabilities for equally likely events.15/05/2010

      Topic Tests

      8300 GCSE Foundation Tree Diagrams Mark Scheme
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Tree Diagrams Topic Test
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Frequency Trees Practice Mark Scheme
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Frequency Trees Practice Topic Test
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Probability Practice Mark Scheme
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Probability Practice Topic Test
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Systematic Listing Practice Mark Scheme
      Downloadable resource in pdf format. 10/03/2023
      8300 GCSE Foundation Systematic Listing Practice Topic Test
      Downloadable resource in pdf format. 10/03/2023

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