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Level Three > Statistics

# AO1: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

Children
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## What's in the bag?

In this unit we experiment with cubes to make predictions about likelihood based on our observations. With these experiences the students find out that with probability there is no way of knowing for sure that will happen.

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## I'm Spinning

This week we use spinners to develop our understanding of the probability of simple events occurring.

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## Counting on Probability

This week we investigate ways of systematically counting all the possible outcomes of an event. One approach that we focus on is the use of tree diagrams.

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## Predict away

In this unit we take samples of blocks from a bag and use them to make predictions about the blocks that the bag actually contains. The students learn that although we can't be 100% certain we can use the information that we gather from sampling to make reasonable predictions.

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## Long Running

In this unit we take samples of blocks from a bag and use them to make predictions about the blocks that the bag actually contains. We discuss the difference between theoretical and experimental probabilities.

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## Spinners

This unit uses one of the digital learning objects, Spinners, to support students as they explore probability. It includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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Three coins are tossed. A player wins if two heads and a tail come up. The unit looks at, analyses, and extends, this game of chance.

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## Murphy's Law

In this unit, students will explore the commonly held belief that if anything bad can possibly happen it will and at the most inopportune time. They will be encouraged to look at events involving chance and predict the likelihood of certain outcomes by both trialling the event and analysing it theoretically. There is a lot of work in this unit so you might like to spread it over more than one week or do different parts at different times of the year. Some of the simulations are reasonably complicated so it may take students most of a lesson until they have come to grips with the rules involved.

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## Dressing In The Dark

Work systematically to identify all the possible outcomes.

Describe events using everyday language.

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## Grabbing CDs

Systematically count outcomes

Compare the likelihood of events

Devise and use problem solving strategies to explore situations mathematically (systematic list, draw a picture, use equipment).

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## Coin Shake-Up

Predict the likelihood of an event based on data collected

Use a systematic approach to find all possible outcomes

Effectively plan mathematical exploration

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## Houses

This unit seeks to connect learning outcomes across all five content strands, number, geometry, statistics, algebra, and measurement.  The context of houses is used to develop concepts such as drawing and modelling 3-dimensional objects, using co-ordinate systems to locate position, finding all the possibilities of events, and identifying paths through simple networks.  The unit provides an excellent vehicle for students to use a broad range of problem solving strategies.

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## No Three In a Line

This activity has a logic and reasoning focus.

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## Join the Queue

These are level 3 number and statistics problems from the Figure It Out series.

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## Home Sweet Home

These are level 3 number, algebra, and statistics problems from the Figure It Out series.

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## Teething Problems

These are level 3 number, geometry, and statistics problems from the Figure It Out series.

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## Numbers in Disarray

These are level 3 number, measurement, and statistics problems from the Figure It Out series.

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## Power to the People

These are level 3 statistics problems from the Figure It Out series.

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## Slippery Solutions

These are level 3 number and statistics problems from the Figure It Out series.

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## All Sorts

These are level 3 x problems from the Figure It Out series.

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## Darting for Cover

These are level 3 number and statistics problems from the Figure It Out series.

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## Over a Barrel

These are level 3 algebra and statistics problems from the Figure It Out series.

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## Mixing Fruit

These are level 3 statistics, geometry, algebra, and number problems from the Figure It Out series.

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## To the Wire

These are level 3 number, geometry, and statistics problems from the Figure It Out series.

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These are level 3 number and statistics problems and level 4 algebra problems from the Figure It Out series.

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## Out for the Count

These are level 3 statistics, geometry, algebra, and number problems from the Figure It Out series.

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## Going Around

These are level 3 number, statistics, and algebra problems from the Figure It Out series.

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## Round Robins

These are level 3 number and statistics problems and level 5 number problems from the Figure It Out series.

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## Waste Not ...

These are level 3 probability and level 4 number problems from the Figure It Out series.

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## Investment Choices

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.

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## Investing on the Share Market

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.

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## Alana, the Online Entrepreneur

This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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## Savings Ups and Downs

This is a level 3 number, algebra, and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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## Spending Spurge

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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## Sneaky Snakes

This is a level 3 statistics activity from the Figure It Out series.

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## Which When?

This is a level 3 statistics activity from the Figure It Out series.

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## Scratch 'n' Win

This is a level 3 statistics activity from the Figure It Out series.

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## Superbeans

This is a level 3 statistics activity from the Figure It Out series.

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## Dicey Differences

This is a level 3 statistics activity from the Figure It Out series.

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## Take Five

This is a level 3 and 4 statistics activity from the Figure It Out series.

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## Picking Pocket Money

This is a level 3 and 4 statistics activity from the Figure It Out series.

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## Crossing the Line

This is a level 3 and 4 statistics activity from the Figure It Out series.

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## The Unit Fraction Game

This is a level 3 and 4 statistics activity from the Figure It Out series.

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## Dylan's Dominoes

This is a level 3 and 4 statistics activity from the Figure It Out series.

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## Fish Fair

This is a level 3 probability activity from the Figure It Out theme series.

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## Horse Racing

This is a level 3 probability and level 2 number activity from the Figure It Out theme series.

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## Pick the Place

This is a level 3 probability activity from the Figure It Out theme series.

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## Luck of the Draw

This is a level 3 probability activity from the Figure It Out theme series.

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## Pass it On!

This is a level 3 statistics activity from the Figure It Out theme series.

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## Spin to Win!

This is a level 3 statistics activity from the Figure It Out series.

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## Using Resources and Classifying Resources

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.

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## A Very Improbable Story

This is an activity based on the picture book A Very Improbable Story