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Students describe the results of two- and three-step chance experiments, with and without replacements, assign probabilities to outcomes and determine probabilities of events. They use language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements. Students determine quartiles and interquartile range; construct and interpret box plots and use them to compare data sets including corresponding histograms and dot plots.
Year 10: Statistics and Probability Classroom ActivitiesDownload
Chance
Year 10: Probable Factors image

Standard ACMNA213

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

Standard ACMNA233

Expand binomial products and factorise monic quadratic expressions using a variety of strategies

Standard ACMNA239

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate

Standard ACMSP246

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

Activity: Probable Factors

What is the probability that a randomly generated quadratic will factorise? This investigation looks at a significantly reduced set of quadratics using dice to generate the coefficients. The coefficient of x is the sum of two dice and the constant is the product of two dice. Simulation is used for predicting the probability followed by theoretical computations.
  • ACMNA213
  • ACMNA233
  • ACMNA239
  • ACMSP246
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Year 10: Greedy Pig image

Standard ACMSP246

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

Activity: Greedy Pig

A very popular probability game, but it is so much more than an end of lesson filler. In this activity students start with the traditional approach of playing and exploring, however they are soon challenged to explore strategies and determine the expected value. In the extension students are challenged to consider a responsive strategy.
  • ACMSP246
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