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Topic 2 Year 9 Mathematics

 Mathematics Topic Probability No of lessons 12 When is it happening Term 1 What will students learn Understand probability is a numerical measure of chance from 0 to 1 inclusive, Be able to calculate the probability of single independent events, Experience comparing probabilities using a variety of representations, Understand a variety of representations of combined events Be able to calculate the probability of a pair of combined events, Experience using a variety of techniques to solve problems, Understand the difference between theoretical and experimental probability Be able to determine whether an experiment is fair or biased Experience working with probabilities which are determined by two events Key Knowledge that students should know at the end of 'Topic' This is the knowledge that students will meet for the first time in this topic The language of chance is discussed in the context of a variety of events. Chance is then connected to probability, a numerical representation of chance from 0 and 1. The terms ‘event’ and ‘outcome’ are introduced. Students calculate theoretical probability Students compare probabilities using a variety of representations including bar models, number lines, decimals and equivalent fractions.  Complementary events are introduced. The terminology ‘not A’ is introduced.  Sample spaces are introduced as a tool for listing the combined outcomes of a pair of events.  why multiplying probabilities of events gives the probability of the events happening together (the combined event Probability tree diagrams are introduced, using frequency tree diagrams to calculate probabilities and solve problems, Students analyse two-way tables to calculate probabilities Students meet experimental probability  Students compare expected outcomes to actual outcomes This is knowledge that students may have met before but will need to deepen their understanding Students revisit methods of adding and multiplying fractions and decimals and conversion between Fractions, decimals and percentages. Two way tables Key Skills that students should be able to demonstrate at the end of 'Topic' This is the skills  that students will meet for the first time in this topic Four operations with fractions This is skills that students may have met before but will need to develop Fraction equivalence Key vocabulary that students should know and understand The Big Question What is probability? Key questions that students should be able to answer at the end of the 'Topic' What is the definition of likely, unlikely, even, certain and impossible? Can you calculate theoretical probability? Can you compare the theoretical probabilities  of events using a  variety of representations? Can you calculate the probability of one complementary event given the other? What is a sample space diagram? Can you find the probability of combined events using a sample space diagram? Can you calculate the probability of a pair of combined events? Can you solve problems using probability tree diagrams?