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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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Mathematics, moon phases, and tides

Through this activity, students will learn the relationship between lunar phases and tides, graphically plotting the tidal range versus Moon phase over an annual cycle for a selected Australian port, as well as determining the mean tidal range for each lunar phase. Students will then focus on determining the relationship ...

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Statistical analysis: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Statistical analysis. Students focus on understanding that random samples chosen from large populations can show quite different distributions and proportions when compared with each other. Students make connections when different sample sizes are or can be responsible ...

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Volume and surface area: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Volume and surface area. Students further develop their understanding of volume and capacity of right prisms by developing formulas, taking measurements and investigating, making approximations and solving problems in many contexts.

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All operations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of All operations. Students use all four operations to solve problems with integers and rational numbers. They can use a range of written strategies and mental computation to demonstrate their understanding.

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Collect, sort and compare data: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Collect, sort and compare data. Students examine different techniques for collecting types of data and begin to consider the challenges of collecting representative data by sampling a population.

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Shapes and objects: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Shapes and objects. Students begin to explore geometric properties and proof. They identify the properties of quadrilaterals based on transformation, angles, parallel sides, side lengths, diagonals and symmetry.

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Area and perimeter: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Area and perimeter. Students build on their knowledge of the area and perimeter of rectangles, parallelograms and triangles to rhombi, kites and trapezia. They identify and use the formulae for these to solve problems.

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Graphs: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Graphs. Students explore linear relationships in the context of the Cartesian plane using digital tools. Students will then go on to find the rule for a linear relationship and solve linear equations, both graphically and algebraically.

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8M01A Time and duration - Ochre Education

This unit of work focuses on time and duration. Students define time zones and determine the corresponding time in different time zones in 12- and 24-hour time using GMT and UTC; determine departure and arrival times in both departure and arrival time zones given the travel duration; determine the travel duration given ...

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8N02A Rational numbers - Ochre Education

This unit of work focuses on rational numbers. Students define and write recurring non-terminating decimals using dot and vinculum notations; identify fractions that will have terminating or recurring non-terminating decimal expansions using the prime factorisation of the denominator in simplified form; convert between ...

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8A02A Equations - Ochre Education

This unit of work focuses on equations. Students solve linear equations involving integers and rational numbers as coefficients and solutions, the unknown on one or both sides of the equation, expanding brackets and simplifying expressions on one or both sides of the equation including verifying solutions; solve pure quadratic ...

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Sandcastle ratios

In this lesson students think like geotechnical engineers, exploring the properties of sand and the ways in which those properties can be used in building and construction.

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Tax, Super + You

Tax, Super + You is designed to provide teachers and parents with practical resources to help students in Years 7-12 understand the value of tax and superannuation, and have confidence when entering the workforce. Registration for a free account is required to access the full suite of materials.

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Making a large wicking bed

Wicking beds are a fantastic invention, allowing crops to be watered more efficiently. Making a large wicking bed does involve a few steps and some preparation, however the benefits of this extra effort are water conservation, improved plant growth and better crops. The design of the wicking bed also provides opportunities ...

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Algorithms: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Algorithms. Students begin to design, create and test algorithms that involve a sequence of steps that identify congruency or similarity of shapes. They describe how algorithms work through classifying and distinguishing between similar and congruent triangles.

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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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Rates and ratios: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Rates and ratios. Students recognise and use rates to solve problems including, constant rates, rate of pay, cost per kilogram, recipes, simple interest and average rates. Students will also be required to make comparisons between two related quantities of different ...

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Patterns and number facts: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Patterns and number facts. Students bring together knowledge and skills on linear functions and relations and experiment with digital tools to investigate systematic variation of parameters to show the effect. Students cement their understanding of the 'm' and the 'c' ...

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Number sequence: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Number sequence. Students are introduced to real numbers and irrational numbers. Take time to explain the real number system so that students understand that irrational numbers are part of the real number group.