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Many heads are better than one: 9 colours activity - Calculate

This collaborative task challenges students to assemble 27 small cubes as one large 3 by 3 by 3 cube, with 9 different colours visible on each face. The task develops spatial awareness, particularly when the task is extended beyond creating a large cube.

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Fractions: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions. Students develop increasingly efficient strategies for adding and subtracting fractions with related and unrelated denominators. They develop conceptual understanding by being given opportunities to estimate before computation and justify their thinking. They ...

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Metric units and using instruments: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Metric units and using instruments. Students make connections between the metric system and decimals. The metric system is linked to the base 10 number system, in that each unit is a power of 10. The base unit represents 100 = 1 and the other units grow or decrease by ...

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Fractions, decimals and percentages: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions, decimals and percentages. Students use their knowledge of percentage and decimal equivalents to calculate percentage discounts.

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Time and duration: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Time and duration. Students develop fluency in reading and interpreting a timetable or schedule.

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Volume and surface area: cylinders: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Volume and surface area: cylinders. Students calculate the surface area, volume and capacity of cylinders and solve related problems.

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Patterns and number facts: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Patterns and number facts. Students bring together knowledge and skills of algebraic and graphical representations of linear functions and quadratic functions. They make these connections by systematically varying the parameters in the rules y = ax + b and y = a(x + ...

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Conduct statistical investigations: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Conduct statistical investigations. Students plan and conduct a statistical investigation. Encourage students to think creatively to come up with a topic for investigation; prompt students to choose a topic of interest so that they engage in the process and are motivated ...

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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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Conduct chance experiments: Year 6 – planning tool

This planning resource for Year 6 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 ...

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Transformation: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Transformation. Students continue to develop their understanding and skills in transformations including reflections (flips), translations (slides) and rotations (turns).

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Algorithms: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Algorithms. Students draw upon their knowledge of congruency, transformations and ratios of right-angled triangles and apply creativity, critical thinking and reasoning skills to a sequenced geometric problem. For example, students may design a flow chart to prove the ...

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Mathematical modelling: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts. They formulate the problem, choose operations and efficient calculation strategies, and use ...

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Pythagoras and trigonometry (Measurement): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Pythagoras and trigonometry. Students apply and build upon knowledge of Pythagoras’ theorem, angle properties, trigonometry and scales to solve problems involving right-angled triangles.

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Mathematical modelling (Algebra): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Mathematical modelling. Students use algebraic rules, tables, graphs and digital tools to construct linear and quadratic models for a range of real-life situations, make predictions and solve related problems. They spend time identifying variables to formulate the models ...

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Angle strength

Students calculate unknown angles using angle relationships.

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Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

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First steps in mathematics: Chance and data

This guide supports teachers to develop students’ understanding, skills and processes related to probability and statistics.

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Assessment task: Chuck-a-Luck

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to investigate an old gambling game known as Chuck-a-Luck. They will calculate the probabilities of each betting option and their expected values. The assessment task is ...

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Nets, shapes … and donuts!

In this lesson, students learn about industrial engineering and explore designing cardboard packaging nets that can be folded into innovative packages.