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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.

Submitted by admin on Fri, 07/04/2008 - 17:14
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What's in the bag?

Submitted by Frances Neill on Mon, 07/21/2008 - 21:42
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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.

Level Three > Statistics
Achievement Objectives:

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

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Counting on Probability

Submitted by Frances Neill on Mon, 07/21/2008 - 22:02
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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.

Level Three > Statistics
Achievement Objectives:

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

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Predict away

Submitted by Frances Neill on Mon, 07/21/2008 - 22:16
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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.

Level Three > Statistics
Achievement Objectives:

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

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Long Running

Submitted by Frances Neill on Mon, 07/21/2008 - 22:28
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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.

Level Three > Statistics
Achievement Objectives:

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

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Spinners

Submitted by Frances Neill on Mon, 07/21/2008 - 22:38
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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.

Level Three > Statistics
Achievement Objectives:

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

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Heads and Tails

Submitted by Frances Neill on Thu, 07/24/2008 - 20:37
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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.

Level Three > Statistics
Achievement Objectives:

Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.
Achievement Objective: Use simple fractions and percentages to describe probabilities.

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Murphy's Law

Submitted by Frances Neill on Thu, 07/24/2008 - 20:58
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In this unit, students will explore the commonly held believe 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 studetns most of a lesson until they have come to grips with the rules involved.

Level Three > Statistics
Achievement Objectives:

Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.
Achievement Objective: Use simple fractions and percentages to describe probabilities.

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Houses

Submitted by Frances Neill on Mon, 01/05/2009 - 22:52
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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.

Level Three > Geometry and Measurement
Achievement Objectives:

Achievement Objective: Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and time.
Achievement Objective: Classify plane shapes and prisms by their spatial features.
Achievement Objective: Represent objects with drawings and models.
Achievement Objective: Use a co-ordinate system or the language of direction and distance to specify locations and describe paths.
Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

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Power to the People

Submitted by Frances Neill on Mon, 05/18/2009 - 01:07
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These are level 3 statistics problems from the Figure It Out series.

Level Three > Statistics
Achievement Objectives:

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

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Waste Not ...

Submitted by Frances Neill on Thu, 05/21/2009 - 19:48
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These are level 3 probability and level 4 number problems from the Figure It Out series.

Level Three > Statistics
Achievement Objectives:

Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.
Achievement Objective: Apply simple linear proportions, including ordering fractions.

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Investment Choices

Submitted by Frances Neill on Sun, 06/21/2009 - 18:45
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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.

Level Four > Number and Algebra
Achievement Objectives:

Achievement Objective: Use a range of multiplicative strategies when operating on whole numbers.
Achievement Objective: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Achievement Objective: Know the equivalent decimal and percentage forms for everyday fractions.
Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

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Investing on the Share Market

Submitted by Frances Neill on Sun, 06/21/2009 - 19:41
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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.

Level Four > Number and Algebra
Achievement Objectives:

Achievement Objective: Use a range of multiplicative strategies when operating on whole numbers.
Achievement Objective: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Achievement Objective: Know the equivalent decimal and percentage forms for everyday fractions.
Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

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Alana, the Online Entrepreneur

Submitted by Frances Neill on Mon, 06/22/2009 - 17:12
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This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

Level Three > Number and Algebra
Achievement Objectives:

Achievement Objective: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

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Sneaky Snakes

Submitted by Frances Neill on Sun, 06/28/2009 - 22:36
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This is a level 3 statistics activity from the Figure It Out series.

Level Three > Statistics
Achievement Objectives:

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

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Which When?

Submitted by Frances Neill on Sun, 06/28/2009 - 23:04
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This is a level 3 statistics activity from the Figure It Out series.

Level Three > Statistics
Achievement Objectives:

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

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Dicey Differences

Submitted by Frances Neill on Mon, 06/29/2009 - 20:40
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This is a level 3 statistics activity from the Figure It Out series.

Level Three > Statistics
Achievement Objectives:

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

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Fish Fair

Submitted by Frances Neill on Wed, 08/12/2009 - 22:33
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This is a level 3 probability activity from the Figure It Out theme series.

Level Three > Statistics
Achievement Objectives:

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

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Horse Racing

Submitted by Frances Neill on Wed, 08/12/2009 - 23:36
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This is a level 3 probability and level 2 number activity from the Figure It Out theme series.

Level Three > Statistics
Achievement Objectives:

Achievement Objective: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.
Achievement Objective: Know the basic addition and subtraction facts.

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Pick the Place

Submitted by Frances Neill on Mon, 08/17/2009 - 00:12
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This is a level 3 probability activity from the Figure It Out theme series.

Level Three > Statistics
Achievement Objectives:

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

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Luck of the Draw

Submitted by Frances Neill on Wed, 08/19/2009 - 00:25
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This is a level 3 probability activity from the Figure It Out theme series.

Level Three > Statistics
Achievement Objectives:

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

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Pass it On!

Submitted by Frances Neill on Wed, 08/19/2009 - 00:32
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This is a level 3 statistics activity from the Figure It Out theme series.

Level Three > Statistics
Achievement Objectives:

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

Resource

Spin to Win!

Submitted by Frances Neill on Mon, 09/14/2009 - 21:42
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This is a level 3 statistics activity from the Figure It Out series.

Level Three > Statistics
Achievement Objectives:

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