Many of the probability games we play involve the probability of two dice, which is a concept that students can sometimes struggle with. This blends a bit of data with the activity, which should help students visualise why some outcomes have a higher probability.
This sheet is part of a larger unit plan written to move students from describing chance through words, to calculating probability with numbers through a presentation, rotation games, and worksheets.
List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely
Conduct repeated chance experiments including those with and without equally likely outcomes, observe and record the results ; use frequency to compare outcomes and estimate their likelihoods
Recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals
Conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in results
Conduct repeated chance experiments and run simulations with an increasing number of trials using digital tools; compare observations with expected results and discuss the effect on variation of increasing the number of trials
List outcomes of Probability (Chance) experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Recognise that probabilities range from 0 to 1
Describe probabilities using fractions, decimals and percentages
Conduct Probability (Chance) experiments with both small and large numbers of trials using appropriate digital technologies
Compare observed frequencies across experiments with expected frequencies
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Recognise that probabilities range from 0 to 1
Describe probabilities using fractions, decimals and percentages
Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies
Compare observed frequencies across experiments with expected frequencies
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
Conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
Gives a valid reason for supporting one possible solution over another
Records and compares the results of chance experiments
Conducts chance experiments and quantifies the probability
Get students to complete the graphing portion of the worksheet using spreadsheet software. This will also allow you to partially assess a data ACARA code (ACMPS119).