Y13 A level Mathematics 36 Probability 1 week Teaching objectives a Understand and use mutually exclusive events and independent d Understand and use conditional probability, including the use of events and associated notation and definitions tree diagrams, Venn diagrams and two-way tables b Be able to use Venn diagrams to assist in the calculations of e Understand and use the conditional probability formula probabilities. f Know that P(B|A) = P(B) B and A are independent ⇔ c Know how to calculate probabilities for two events which are not Modelling with probability, including critiquing assumptions made g mutually exclusive and the likely effect of more realistic assumptions Resources for advance preparation: Information about Sally Clark to share with students perhaps a handout or a PowerPoint with the key points as using the website as it stands gives too – much away and students to think things through for themselves. doesn’t allow Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Including key questions and resources Extension homework 1 Discuss the case of Continue the discussion to introduce the idea of Formalise the notation and the Students should be Conditional Probablity and emphasise its importance. formula. able to identify the Homework: Routine practice independence issue use the in y12 (from the AS resources), then If you didn’t themselves. use it here, to check that students are secure with the from old resources, or notation. This works particularly well if you do a human Venn Diagram with large loops of string. Choose categories which will motivate and/or amuse the class. Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and Including Support and Including key questions and resources Extension homework 2 Use Example 2 to Look at the formula for conditional probability and Homework: Routine practice & get students to discuss what happens in the case where A and B are from old resources, or 3 present the independent. information in a Highlight the important result that A and B are
Y13 A level Mathematics 36 Probability 1 week Teaching objectives a Understand and use mutually exclusive events and independent events and associated notation and definitions b Be able to use Venn diagrams to assist in the calculations of probabilities. c Know how to calculate probabilities for two events which are not mutually exclusive d Understand and use conditional probability, including the use of tree diagrams, Venn diagrams and two-way tables e Understand and use the conditional probability formula f Know that P(B|A) = P(B) ⇔ B and A are independent g Modelling with probability, including critiquing assumptions made and the likely effect of more realistic assumptions Resources for advance preparation: Information about Sally Clark to share with students – perhaps a handout or a PowerPoint with the key points as using the website as it stands gives too much away and doesn’t allow students to think things through for themselves. Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 1 Discuss the case of Students should be able to identify the independence issue themselves. Continue the discussion to introduce the idea of Conditional Probablity and emphasise its importance. If you didn’t use the in y12 (from the AS resources), then use it here, to check that students are secure with the notation. This works particularly well if you do a human Venn Diagram with large loops of string. Choose categories which will motivate and/or amuse the class. Formalise the notation and the formula. Homework: Routine practice from old resources, or Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 2 & 3 Use Example 2 to get students to present the information in a Look at the formula for conditional probability and discuss what happens in the case where A and B are independent. Highlight the important result that A and B are Homework: Routine practice from old resources, or
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