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Formulate and manipulate expressions: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...

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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.

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Acquire and record data: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Acquire and record data. Students develop a robust statistical vocabulary. This includes defining and distinguishing between discrete numerical and continuous numerical data. To illustrate the differences students should be asked to collect sets of data from their peers. ...

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How long does it take?

Students describe, compare and order the duration of events. They investigate the length of a day and sequence the different phases that occur within this time period.

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Spot the number

Students recognise amounts to five without counting.

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Shapes and objects: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Shapes and objects. Students identify and describe 3D objects and their geometric properties. Students develop their understanding of an object’s properties by creating models using a variety of materials. They explore common objects in the environment and explain the ...

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Area and perimeter video

Use this video to connect area and perimeter to real world applications to set the context for why we are learning about area and perimeter.

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Loaded dice

Students conduct chance experiments, record data into a frequency table and represent data using a column graph.

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Hundreds and thousands

Students compare and order three-digit numbers using number lines.

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Bright budgeting

Students make calculations with amounts of money and make financial decisions.

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Line of symmetry

Students identify and draw the lines of symmetry by folding 2D shapes.

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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Two-up - The fairest game of all?

In this lesson, students look at the history and mathematics of Two-Up, exploring why it is considered such a fair game, and how the ‘boxer’ or game runner makes a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos ...

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How does gambling on the races work?

This lesson simulates the operation of a bookmaker to illustrate to students how easy it is to get swept up in the excitement of a race, and to show how the bookmakers are always coming out having made a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials ...

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Shooting 3-pointers: Part 1

In this lesson students are guided through solving a problem using mathematical modelling. Students are guided through the process of formulating a problem that can be solved using a mathematical modelling approach. A professional sporting context allows students to engage in a common basketball scoring move: shooting ...

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Back to the books

In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

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Lucky lottery

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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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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Sensational shape hunt

Students compare shapes. In small groups, students are taken on a 'Sensational shape hunt' outside in the school grounds. They look around, observe and describe the shapes they see in the environment. They may stop to feel the straight or curved edges, the flat or rounded sides or surfaces. They compare shapes and find ...