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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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Conduct chance experiments: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct chance experiments. 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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Networks: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Networks. Students develop the ability to use visual representations to solve problems. This is a new area for Year 10 and may be unfamiliar to many teachers. Also called graph theory, networks and network diagrams are ways of displaying and describing relationships ...

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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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Logarithmic scale: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Logarithmic scale. Students read and interpret different types of scales. They understand that that a logarithmic scale uses powers 10 and how it appears on a graph. Students know when the use of such a scale is appropriate and where logarithmic scales are used for ...

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Patterns and number facts: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Patterns and number facts. Students work with a variety of functions and relations and their rules, tables of values and graphs using digital tools. Students manipulate, explore, investigate, make conjectures and identify emerging patterns from functions and relations. ...

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Graphs: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Graphs. Students connect the graphical representation of exponential functions and their corresponding exponential rule. They use digital tools to explore how systematically making changes to the value of the base, pronumerals or variables changes the shape of the corresponding ...

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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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Interpret and discuss data displays: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Interpret and discuss data displays. Students are further equipped to analyse and evaluate claims, inferences and reported conclusions of statistics reported in the media. Students use critical-thinking skills to investigate many forms of data representation, such as ...

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Pythagoras and trigonometry: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Pythagoras and trigonometry. Students apply their knowledge of Pythagoras' theorem to solve problems involving angles of elevation and depression and direction. They explore how direction can be indicated using true bearings and compass points.

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Mathematical modelling (Algebra): Year 10 – planning tool

This planning resource for Year 10 is for the topic of Mathematical modelling. Students apply linear, quadratic and exponential functions to modelling contexts and outline reasons for selecting a particular model. They use tables of values to look for patterns in data, recognising that linear functions have constant first ...

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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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Proof: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Proof. Students are familiar with the basics of geometry and have been introduced to proof when looking at similar triangles. They will be extending and applying these skills and using deductive reasoning and geometric theorems to solve spatial problems in relation ...

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Algorithms: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Algorithms. Students apply algorithmic thinking to spatial scenarios, drawing upon their knowledge and skills in this area. The value for students is to allow them to mathematically investigate a spatial problem and to design and test an approach to solve the problem. ...

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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 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct statistical investigations. Students continue to conduct statistical investigations and are introduced to contexts that involve bivariate data. It is important to review the meaning and relationship between dependent and independent variables, as well as the ...

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Mathematical modelling (Measurement): Year 10 – planning tool

This planning resource for Year 10 is for the topic of Mathematical modelling. Students use mathematics in a range of contexts for problem-solving and modelling practical situations. These include drawing plans and elevations to scale, using ratio and proportion when making a prototype, and using estimation. Some of their ...

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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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Linear expressions and equations: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Linear expressions and equations. Students have developed confidence from their prior learning to algebraically solve linear equations of the form ax + b = c and can represent the solution graphically. They extend this to solving pairs of simultaneous linear equations ...

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Sample Teaching and Learning Outline: Humanities and Social Sciences Year 10

Find ideas and relevant links for teaching Year 10 History, Geography, Civics and Citizenship and Economics in this resource.