Level Four > Statistics

AO1: Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence.

Children

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Top Drop

In this unit students play the game "Top Drop" which has them predicting the outcome of dropping a plastic drink bottle top. The outcome of each drop is recorded and used to develop an understanding of relative frequency and probability and to increase the likelihood of winning. The unit culminates in a "Top Drop" tournament where students use the knowledge and understanding they have gained during the unit.

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Greedy Pig

This activity provides students with a fun game context in which to practice their addition skills. It also introduces concepts of probability.

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Beat It

The purpose of this unit is to use games to gather and present data in a systematic way in order to determine the likely outcomes of some everyday events.

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The Coloured Cube Question

Two red and two blue multi-link cubes are placed in a bag. The player takes out two cubes. If the player gets two red cubes they win. The unit looks at, analyses, and extends, this game of chance.

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Gambling- Who Really Wins?

In this unit we investigate the link between experimental and theoretical probability and learn about short run variability. We then take part in sports betting simulations designed to illustrate how damaging gambling can be.

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Bubblegum balls

Identify the possible outcomes of an event

Follow a logical argument

Write a rule for the pattern

Interpret information and results in context (logic, be systematic)

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Dominoes

Apply counting strategies to the case of dominoes

Write an explanation of what they have done

Devise and use problem solving strategies to explore situations mathematically (be systematic, make a list, use a diagram).

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The Clumsy Tiler S

Use a pattern to count in a geometrical situation.

Devise and use problem solving strategies to explore situations mathematically (make a drawing, use equipment).

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Breakfast Biscuits

This unit seeks to connect learning outcomes across all five content strands, number, geometry, statistics, and measurement. However the context lends itself strongly to use of measurement and statistics. In the unit students investigate questions that involve them in experiment design, data collection and display, and drawing conclusions from data. Students investigate the measurements of breakfast biscuits, how much milk they absorb, how strong they are and the hidden truth about collecting cards.

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Random Numbers

These exercises, activities and games are designed for students to use independently or in small groups to practise random number properties. Some involve investigation (see Related Resources) and may become longer and more involved tasks with subsequent recording/reporting. Typically an exercise is a 10 to 15 minute independent activity.

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