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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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Conduct chance experiments: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Conduct chance experiments. Students draw on what they have learnt about probabilities related to compound events and apply this knowledge in a variety of experiments. The use of digital tools and simulations allow for repeated practice of compound events and help to ...

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Probability calculations: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Probability calculations. Students design and conduct chance experiments relating to conditional probability using digital simulation tools to conduct multiple trials. Students are expected to interpret problems and describe their interpretations.

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Volume and surface area: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Volume and surface area. Students extend their application of volume and surface area to solve problems on composite solids. Students will need to be able to visualise the individual elements of the composite solids and identify the areas where these elements touch.

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Interpret and compare data displays: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Interpret and compare data displays. Students interpret and compare datasets using different data displays and visualisations.

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Have fun with flowcharts

Create a flowchart to represent a sequence of (branching) steps and decisions needed to solve a mathematical problem.

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Balance

This activity invites students to explore the phenomena of balance and investigate the question, 'Can you find at least three different ways of balancing three identical weights on a balance board?' Students work with a simple balance (e.g., a ruler as the balance board, a toilet-paper-tube fulcrum, and coins as weights), ...

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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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Mathematical modelling (Measurement): Year 8 – planning tool

This planning resource for Year 8 is for the topic of Mathematical modelling. Students use mathematical modelling to solve problems involving ratios and rates in a financial context.

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Formulate and manipulate expressions: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...

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Conduct statistical investigations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Conduct statistical investigations. Student have been learning about measures of spread in terms of mean, median, mode and range. They use these values to interpret data and data displays. They are familiar with statistical terminology and are ready to conduct their ...

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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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Position and location: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Position and location. Students create and interpret simple grid maps. Location on these informal maps can be represented by grid references. They understand that a grid reference identifies a region on a map.

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Mathematics, moon phases, and tides

Through this activity, students will learn the relationship between lunar phases and tides, graphically plotting the tidal range versus Moon phase over an annual cycle for a selected Australian port, as well as determining the mean tidal range for each lunar phase. Students will then focus on determining the relationship ...

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Transformation: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Transformation. Students explore and develop their understanding of the enlargement transformation using dynamic geometry software. They will investigate what changes and what remains the same when a shape or object is enlarged. Students will look for patterns in the ...

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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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Statistical analysis: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Statistical analysis. Students are competent with comparing data distributions and are fluent with the relevant mathematical vocabulary. Extend students to work with other data displays, such as box plots, to represent continuous numerical variables. Review the distinction ...

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Measurement of error: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Measurement of error. Students make considered estimations of measurements. They use percentages to calculate the size of errors in different circumstances. They estimate the accuracy of given measurements and the effects of rounding.

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Estimation and reasonableness: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Estimation and reasonableness. Students make approximations using real numbers in repeated calculations. Students recognise the effect of the result of a problem comprising multiple steps of calculations when approximations or rounding has been utilised at each of those steps.

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Shooting 3-pointers: Part 1

In this lesson students are guided through solving a problem using mathematical modelling. Students are guided through the process of formulating a problem that can be solved using a mathematical modelling approach. A professional sporting context allows students to engage in a common basketball scoring move: shooting ...