UNIT: TERM 1 YEAR 9 UNIT OVERVIEW: PROBABILITY ASSESSMENT: EXAM UNIT DETAILS: Sample Space (Lists, Tree Diagrams, Tables, Venn Diagrams) Experimental Probability (relative frequency and expected values) Theoretical Probability (independent events, multiple events, complementary events, dependent events - with and without replacement) Success Criteria (I know I’ve got it when I Additional can successfully complete Australian Curriculum Learning Goal Extension Strand No the following exercises and Statement Exercises teach someone else the concepts) Construct sample spaces for Handout - 9 MQ single-step experiments with Ex. 10A Describe and represent probability of an event. 1 equally likely outcomes ACMSP167 (7) Handout 9 MQ – experimental probability formula to calculate Assign probabilities to the 2 Ex. 10B the relative frequency of an event. outcomes of events and determine probabilities for Handout 9 MQ – To a sample space using a list and construct events ACMSP168 (7) 3 Ex. 10C calculate the theoretical probability Identify complementary events and use the sum of probabilities Handout 9 MQ – a sample space using a table and/or tree Construct to problems ACMSP204 Ex. 10E 4 diagram and calculate the theoretical probability of (8) an event. Represent such events in tables and Venn diagrams Handout 10MQ – Identify complementary events and sum of and solve related problems Ex. 10B PROBABILITY 5 probabilities to calculate the probability of an event ACMSP292 (8) and the probability of a complementary event. List all outcomes for two-step chance experiments, both with Dwyer Textbook Construct Venn Diagrams to calculate the and without replacement Ex. 14.8 6 probability of events occurring. tree diagrams or arrays Yr 8 Ex. 18.3 – Assign probabilities to Handout 10 – outcomes and determine Define and identify independent and dependent 7 Ex. 8.3 events.
UNIT: TERM 1 YEAR 9 UNIT OVERVIEW: PROBABILITY ASSESSMENT: EXAM UNIT DETAILS: Sample Space (Lists, Tree Diagrams, Tables, Venn Diagrams) Experimental Probability (relative frequency and expected values) Theoretical Probability (independent events, multiple events, complementary events, dependent events - with and without replacement) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and teach someone else the concepts) Additional Extension Exercises PROBABILITY Construct sample spaces for single-step experiments with equally likely outcomes ACMSP167 (7) Assign probabilities to the outcomes of events and determine probabilities for events ACMSP168 (7) Identify complementary events and use the sum of probabilities to problems ACMSP204 (8) Represent such events in tables and Venn diagrams and solve related problems ACMSP292 (8) List all outcomes for two-step chance experiments, both with and without replacement tree diagrams or arrays Assign probabilities to outcomes and determine 1 Describe and represent probability of an event. Handout - 9 MQ Ex. 10A 2 experimental probability formula to calculate the relative frequency of an event. Handout – 9 MQ Ex. 10B 3 To construct a sample space using a list and calculate the theoretical probability Handout – 9 MQ Ex. 10C 4 Construct a sample space using a table and/or tree diagram and calculate the theoretical probability of an event. Handout – 9 MQ Ex. 10E 5 Identify complementary events and sum of probabilities to calculate the probability of an event and the probability of a complementary event. Handout – 10MQ Ex. 10B 6 Construct Venn Diagrams to calculate the probability of events occurring. Dwyer Textbook Ex. 14.8 Yr 8 – Ex. 18.3 7 Define and identify independent and dependent events. Handout – 10 Ex. 8.3
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