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Free Download: Chance and Data Math Investigation - Roll Me a Six!


A mathematics investigation involving chance and data, embedded in a real-world context.

This open-ended mathematics investigation has been designed to deepen students’ understanding of chance, data collection and data representation.

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.

Resource Pack This resource is part of the 200+ Page Free Primary School Teaching Resource Pack. Download this resource and 68 other resources in the complete pack. View the pack...


Resource Pack This resource is part of the 200+ Page Free Elementary School Teaching Resource Pack. Download this resource and 41 other resources in the complete pack. View the pack...


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Common Core State Standards alignment

Grade 6 > Standards for Mathematical Practice > Statistics & Probability > Develop understanding of statistical variability > CCSS.MATH.CONTENT.6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, "How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question because one anticipates variability in students' ages.

Grade 6 > Standards for Mathematical Practice > Statistics & Probability > Develop understanding of statistical variability > CCSS.MATH.CONTENT.6.SP.A.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

Grade 6 > Standards for Mathematical Practice > Statistics & Probability > Summarize and describe distributions > CCSS.MATH.CONTENT.6.SP.B.5
Summarize numerical data sets in relation to their context, such as by:

Grade 6 > Standards for Mathematical Practice > Statistics & Probability > Summarize and describe distributions > CCSS.MATH.CONTENT.6.SP.B.5 > CCSS.MATH.CONTENT.6.SP.B.5.A
Reporting the number of observations.

Grade 6 > Standards for Mathematical Practice > Statistics & Probability > Summarize and describe distributions > CCSS.MATH.CONTENT.6.SP.B.5 > CCSS.MATH.CONTENT.6.SP.B.5.B
Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.


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