Learning Goals / - describe possible everyday events and order chances of occurring
- identify everyday events where one cannot happen if the other happens
- identify events where the chance of one happening does not affect the chance of the other. / - list outcomes of chance experiments involving equally likely outcomes
- represent probabilities as decimals (zero to one) and fractions / - describe probabilities using fractions, decimals and percentages
- conduct chance experiments using computers
- compare observed and expected frequencies in experiments / - define the terms: sample space, favourable outcomes, trial, events and experiments
- Construct sample spaces for single-step experiments with equally likely outcomes e.g. tossing a coin.
- assign probabilities to the outcomes of events and determine probabilities / - identify complementary events and use the sum of probabilities to solve problems
- Describe events using ‘at least’, exclusive ‘or’, inclusive ‘or’ and ‘and’
- represent events in two-way table and Venn Diagrams / - list all outcomes of two-step chance experiments, with or without replacement using tree diagrams or arrays.
- calculate relative frequencies from given or collected data to estimate probabilities / - describe results of two- and three-step chance experiments, with and without replacement and determine probability of events
- investigate concept of independence
- Investigate conditional statements
- Evaluate the appropriateness of sampling techniques where statements are based on a sample.
Vocabulary Understanding / event chance outcome experiment equally likely represent probability decimal fraction / Percentage conduct observed expected frequency sample space favourable trial assign determine / Complementary sum problems at least exclusive inclusive Venn diagram array replacement tree diagram relative frequencyindependence data estimate conditional represent
Inquiry
Investigation / Easy Winnings
Skill Builder
(Pick 3 tasks) / - Probability Outcomes
- Probability
- Probability Lines
- Probability Event Cards (order them on a probability line) / - Starting Probability
- Fair Games: Ups and Downs
- Fair Games: Island Hopping
- The probability Line / - Probability Experiments
- Assigning Probabilities
- Probability (equally likely outcomes)
- Experimental Probabilities / - Lists and Probability
- Possibility Spaces (sample spaces)
- Single Event Probability
- Probability Obstacle Course
- Win, Win, Win!!!
- The Hare and the Tortoise / - Probability 1
- Probability 2
- Addition Rule (OR Rule)
- Master Maths Theoretical and Experimental Probability
- Dependent and Independent Events / - Experiment. Probabilities 1
- Experiment. Probabilities 2
- ‘AND’ and ‘OR’ Rules
- AND and OR Rule
- Experiment. Probabilities 3
- Lists and Possibility Spaces
- Tree Diagrams (Independent Events) / - Probability 1. Revision
- Conditional Probability
- Tree Diagrams (dependent events)
- Probability (Exam Style Questions 1)
- Schichi-fuku-jin
Problem Solver
(Pick One) /
- Animal’s sports day
- Probably
- Two and One
- Racing Odds
- The Lady or the Lions
- Last One Standing
- The better bet
- In a Box
- At Least One…
- Chances Are
- Balls and Bags
- Bet You a Million
- Thank Your Lucky Stars
- Scratch Cards