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Introduction to games of chance

This lesson explores how to predict outcomes of games of chance. Students investigate the concepts of luck, skill and fairness, using dice games. They calculate probabilities for one and two dice rolls and compare the odds for different combinations of dice in a variety of game scenarios. The lesson is outlined in detail ...

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Lotto mania

In this lesson, students will simulate a lottery, and perform calculations to determine the small probability of their exact numbers being drawn from a lottery. They will also consider the financial investment that would be required to guarantee a lottery win, ultimately determining that such a strategy would end up costing ...

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Can you beat the system?

In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...

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Solving Linear Equations - Calculate

This unit of work focuses on solving linear equations. It includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas. A short quiz at the end of the AMSI Interactive will help students to test their understanding at the completion ...

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Addition and Subtraction - Calculate

This game focuses on addition, subtraction and estimation. It can be played many times as the totals will often be different and the focus of the mathematics can change. There is a video included to help with how to play the game.

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Linear Algebra Year 7 - Calculate

The focus of this activity is to find out what students know about linear equations and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Santa needs a navigator - Calculate

This activity challenges students to find the best route for Santa to take around the world, taking timezones and travel time into consideration. Students mark places on a map, plan a route that is taken only at night and calculate the duration of the entire trip.

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Multiplying two-digit numbers using the area model - Calculate

This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.

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Investigating Decimal Numbers - Calculate

In this unit let’s investigate terminating and recurring decimals. We’ll learn how to use the correct mathematical symbols for recurring (repeating) decimals, how to convert fractions into terminating or recurring decimals and how to interpret these numbers on a calculator.

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Multiplication Facts - Calculate

This resources describes some games and activities that can be used to help students learn the multiplication facts (or times tables) up to 10 × 10.

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Partitioning: One is a snail, ten is a crab - Calculate

This activity provides students with an opportunity to partition numbers in different ways. Partitioning is an important concept as it allows numbers to be broken up so that they’re easier to use.

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How Many? - Calculate

The focus of this activity is for students to count a variety of objects in their home environment and write the number for each.

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Addition & Subtraction Year 2 - Calculate

The focus of this activity is to find out what students know about different addition strategies.

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Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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Pattern Blocks - Calculate

This activity uses pattern blocks to explore patterns and the relationship between numbers. Students use the blocks to create and describe other shapes and since the blocks are relational they can be used for other investigations. For example, turn the blocks into units – if the triangle is one what is the value of the hexagon?

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How Full Is a Bucket? - Calculate

This team-based game challenges students to use metric units of volume and to make capacity estimates for various containers.

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Investigating Shapes (Year 5 & 6) - Calculate

The focus of this activity is to discover what it is that students know about 2D shapes and 3D objects.

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Work Unit: Mr Moon’s feathery problem - Calculate

This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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'Dog In, Cat Out' - Time Unit - Calculate

Using the Australian children's book 'Dog In, Cat Out' (written by Gillian Rubinstein and illustrated by Ann James) the lesson sequences and activities in this unit are a way to help children from Foundation to Grade 2 level gain an understanding of the concept of time, its measurement and its numeration.

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More than, less than ½ - Calculate

This game, played with ten-sided dice, in pairs or small groups, provides students with opportunities to make, simplify and compare fractions with different denominators. Students aim to collect fractions that are more than a half and less than a half, recording their rolled fractions on a score card as the game progresses.