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Use variables: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Use variables. Students students recognise pronumerals and variables in formulas they have been exposed to. They are presented real-life scenarios and explore the relationship between variables using algebraic notation as a representation.

Online

Shapes and objects: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Shapes and objects. Students build on their knowledge of two-dimensional shapes. They classify triangles according to their side length (scalene, isosceles, equilateral) and their angle properties (right, acute, obtuse). Students identify and describe different quadrilaterals ...

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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 ...

Online

Possible outcomes: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Possible outcomes. Students represent the probability of an event occurring on a scale of zero to one as decimals, fractions or percentages.

Online

Place value: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Place value. Students represent natural numbers in expanded notation using place value and powers of 10. Students learn the connection between exponent notation and its expanded form. By understanding how powers of ten are sequenced, students make connections with scale ...

Online

Conduct chance experiments: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Conduct chance experiments. Students predict the frequency of an outcome of repeated chance experiments. They conduct simulations using digital tools to generate and record the outcomes, and observe the effect of many trials on the outcome. They then compare observed ...

Online

Algorithms: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Algorithms. Students are introduced to the use of algorithms for sorting and classifying. They can use flow charts to do this. Algorithmic thinking is a design process and flow charts are used to show a sequence of steps and/or instructions and require decision making ...

Video

Proportional reasoning video

Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

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How many in the queue?

Students use visualising and movement activities to develop an understanding of the relationship between variables.

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Prediction vs. reality

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

Online

Patterns, rules and graphs

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

Online

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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Statistics and probability: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover statistics and probability. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in chance and data including teaching and cultural implications.

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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.

Online

Expressions, formulas and substitution

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Diagnostic task: Volume of prisms

Use these diagnostic tasks, Volume of prisms (1) and Volume of prisms (2), to assess a student’s understanding of working out the volume of rectangular prisms and a formula for volume.

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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. ...

Online

All operations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of All operations. Students use all operations with positive rational numbers and to choose the most appropriate and efficient approach when solving a variety of problems.

Online

Mathletes in motion

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.