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Video

Algebraic equations: video and teaching guide

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

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Formulate and manipulate expressions: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Formulate and manipulate expressions. Students find unknown quantities in numerical equations involving a combination of operations.

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Estimation and reasonableness: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Estimation and reasonableness. Students round decimals to a specified number of decimal places and connect the process of rounding up or down to prior experiences in rounding.

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Position and location: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Position and location. Students demonstrate understanding of objects in two dimensions (2D). Students can draw various shapes in different ways, such as drawing informally on blank paper, on grid paper, or in an isometric representation; discuss the reasons behind the ...

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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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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.

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

Transformation: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Transformation. Students describe translations, reflections and rotations and identify line (mirror) and rotational symmetries. They will extend their understanding of transformations through exploring transformations on the Cartesian plane.

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Angles and parallel lines: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Angles and parallel lines. Students identify corresponding, alternate and co-interior angles on parallel lines crossed by a transversal (a line that intersects two or more parallel lines).

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Represent collected data: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Represent collected data. Students expand their knowledge of numerical data displays. Students draw or use digital software, to create their graphs or charts. Give ample opportunities to practise drawing stem-and-leaf plots, especially choosing the correct stems. Then, ...

Online

Creating my own spreadsheet to convert binary to decimal

A spreadsheet can be used to do calculations quickly using formulas. How can we make a spreadsheet that converts a binary number to a decimal number? This lesson provides some guidance and Excel files for student and teacher use.

Online

Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Solar energy installations

This lesson uses data about solar energy installations to investigate data analysis. The dataset shows how many solar systems were installed, in each postcode, from 2001 to 2016. It is a useful way to understand how to explore and characterise datasets as well as to explore the use of data in the media. This lesson was ...

Downloadable

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.

Downloadable

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

Making a large wicking bed

Wicking beds are a fantastic invention, allowing crops to be watered more efficiently. Making a large wicking bed does involve a few steps and some preparation, however the benefits of this extra effort are water conservation, improved plant growth and better crops. The design of the wicking bed also provides opportunities ...

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Circles and cylinders: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Circles and cylinders. Students are introduced to the radius, diameter and circumference of a circle. They understand the relationships between these measures and can use relevant formulae to solve problems.

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Number sequence: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Number sequence. Students extend their understanding of equivalence of fraction with visual representations such as a number line that extends beyond zero; concrete materials; and common multiples and fraction walls. Students learn to work with equivalence and explore ...

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Graphs: formulas and variables

In this lesson, students use algebra and linear equations to model two real-world scenarios to find information to make the best choice. Students set the aim of saving for a mobile phone (or similar goal) and use linear equations to model the pay rates of two part-time jobs to help make the better decision. This lesson ...

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Work sample Year 7 Mathematics: Investigations

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...