A mathematics investigation involving chance and data, embedded in a real-world context.
In this investigation, the students must conduct a comprehensive chance experiment to test the following statement:
If you whisper Roll me a six! to a dice before rolling it, you have a higher chance of getting a six.
The students must collect data by rolling a dice 20 times, whispering Roll me a six! before each roll. They must then roll the dice 20 more times without whispering. The students must present and compare their data using frequency tables and a side-by-side column graph.
This teaching resource includes:
- teacher notes, detailing a range of important information about the investigation
- a detailed description of the investigation for students, including step-by-step instructions
- various recording worksheets
- reflection questions.
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NSW Curriculum alignment
Victorian Curriculum alignment
Describe probabilities using fractions, decimals and percentages
Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies
Pose questions and collect categorical or numerical data by observation or survey
Compare observed frequencies across experiments with expected frequencies
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
Construct, interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
Describe and interpret different data sets in context
Australian Curriculum alignment
Pose questions and collect categorical or numerical data by observation or surveyElaborationsposing questions about insect diversity in the playground, collecting data by taping a one-metre-square pie...
Describe probabilities using fractions, decimals and percentagesElaborationsinvestigating games of chance popular in different cultures and evaluating the relative benefits to the organisers and parti...
Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variablesElaborationscomparing different student-generated diagrams, tables and graphs, describ...
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologiesElaborationsidentifying the best methods of presenting da...
Conduct chance experiments with both small and large numbers of trials using appropriate digital technologiesElaborationsconducting repeated trials of chance experiments, identifying the variation bet...
Describe and interpret different data sets in contextElaborationsusing and comparing data representations for different data sets to help decision making (Skills: Literacy, Numeracy, Critical and Crea...
Compare observed frequencies across experiments with expected frequenciesElaborationspredicting likely outcomes from a run of chance events and distinguishing these from surprising results (Skills: Li...
Comments & Reviews
Fixed typo on Reflection Q5 - 'change' to 'chance'
Fix by Jill (Teach Starter) 30th Sep, 2017
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