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Finding the shortest path

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

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Owning a pet

This lesson asks students to explore statistics about pet ownership in Australia and the cost of buying and maintaining a pet. During the activities, students are asked to gather and compare data about pets in Australia using trusted information sources such as the RSPCA. They go on to consider the costs and benefits of ...

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What are the odds?

Students calculate the probability for single-step events using sample spaces.

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Humpback whales: what the data reveals

The lesson follows an inquiry process where students use the dataset to answer relevant questions about the whale population. They consider what other data they would need in order to effectively examine the impact on humpback whales of sonar activity and noise from development.

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Put them together

Students rearrange the parts of an addition situation to show commutativity. They use appropriate thinking strategies to solve simple addition problems and record addition problems with numerals and symbols.

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Angle it

Students describe angles as the amount of turn between two lines and locate angles in the real world.

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Cutting it up

Students represent fractions using linear materials and recognise key equivalent fractions. They share collections equally to solve simple problems (halves, quarters and eighths).

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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.

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Skateboard skills

Students identify the components and properties of angles.

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What is the area?

Use this diagnostic task to assess what students know about area and using the area formula.

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Which lunchbox holds more?

Use this diagnostic task to assess what students know about volume and units to compare volumes.

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Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

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Tiling problem

Use this diagnostic task to assess if students use an array structure when working out how many tiles fit in a rectangle.

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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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Geometry: Foundation to Year 9

This comprehensive resource describes the progression of geometric reasoning. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in geometry including teaching and cultural implications.

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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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My drink bottle

Students compare the spaces within containers.

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Which is the longest?

Students compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units.

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My town

Students use everyday language to give directions, follow directions to locate positions on maps, and draw plans from a bird’s-eye view.