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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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Spending the lotto millions!

Students apply standard and non-standard place value partitioning to seven-digit numbers.

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The school delivery

Use this task to assess language the student uses to describe position, direction and pathways in familiar environments.

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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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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. ...

Video

Volume and mathematical modelling video

Use this video as a springboard to explore volume of composite shapes, adjusting numbers to make calculations friendlier and draw on reasoning and mathematical modelling.

Online

Number sense: Foundation – planning tool

This planning resource for Foundation is for the topic of Number sense. Students learn to recognise the order in a sequence of numbers to at least 20.

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Shapes and objects: Foundation – planning tool

This planning resource for Foundation is for the topic of Shapes and objects. Students learn to identify, name and sort common shapes such as circles, triangles, squares and rectangles.

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Acquire, record and represent data: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Acquire, record and represent data. Students consolidate and extend upon their knowledge of data. They collect and record categorical data in various ways including using tally marks, objects and drawings. They represent data using one-to-one displays and refer to these ...

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Mathematical modelling: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms ...

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Informal units: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Informal units. Students extend their understanding of uniform informal units to measure and compare the lengths, mass and capacities.

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Time and duration: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Time and duration. Students focus on reading time in 12- and 24-hour time and converting between them. They build on their knowledge of am and pm notation and solve time-related problems.

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Conduct chance experiments: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Conduct chance experiments. Students conduct repeated chance experiments. They can identify and describe possible outcomes and record the results of the chance experiments. Students then compare results of trials and discuss the variation. It is expected that students ...

Online

Possible outcomes: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Possible outcomes. Students are introduced to more complex probability concepts, terminology and visual representations. These concepts may be challenging for students to comprehend and will need multiple examples incorporating relevant teaching strategies.

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Possible outcomes: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Possible outcomes. Students are familiar with the language and concepts behind probability and possible outcomes. From here students focus their learning on using systematic approaches for various types of compound events before assigning probabilities to more complicated ...

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Proportional reasoning: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Proportional reasoning. Students are introduced to ratios as a method of comparing quantities. Students learn how to recognise and represent these comparisons to solve problems. The concept of dividing a quantity by a given ratio is also introduced.

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Formulate and manipulate expressions: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Formulate and manipulate expressions. Students move beyond expanding and factorising linear expressions, such as 3(2x – 1) or 4x + 6, to working with monic quadratic expressions (that is, where the coefficient of the square term is 1). This involves expanding expressions ...

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Mathematical modelling (Measurement): Year 7 – planning tool

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use the mathematical modelling to solve representations of real-world problems.

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Conduct statistical investigations: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct statistical investigations. Students continue to conduct statistical investigations and are introduced to contexts that involve bivariate data. It is important to review the meaning and relationship between dependent and independent variables, as well as the ...

Online

Proof: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Proof. Students are familiar with the basics of geometry and have been introduced to proof when looking at similar triangles. They will be extending and applying these skills and using deductive reasoning and geometric theorems to solve spatial problems in relation ...