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Students calculate area composite shapes, surface area and volume of right prisms and solve related problems. They use geometric reasoning on enlargements and transformations to explain similarity and develop the conditions for triangles to be similar. Students investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles and use similarity to investigate the constancy of the sine, cosine and tangent ratios and solve related problems.
Year 9: Statistics and Probability Classroom ActivitiesDownload

Chance

Standard ACMSP226

Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or'

Activity: What are the Chances?

This task is designed to familiarise students with random number generators and their use in simulating chance events. It is suitable for students in Years 9 ‑ 11.
  • ACMSP226
Download28
Buffons_Pen_Thumb

Standard ACMSP226

Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or'

Activity: Buffon’s Needle

Suppose you drop your pen onto a wooden floor. If the pen is the same length as the boards are wide, what is the probability that the pen will lie across a join? This problem may seem somewhat obscure but the answer is sure to surprise. Another interesting question, why is it called Buffon’s needle?
  • ACMSP226
Download31

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