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

  • TLF-IDA003204

This planning resource for Year 9 is for the topic of Pythagoras and trigonometry. Students develop and use their understanding of the relationship between the corresponding sides of similar right-angled triangles.

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Mathematical modelling (Algebra): Year 9 – planning tool

  • TLF-IDA003212

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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Possible outcomes: Year 9 – planning tool

  • TLF-IDA003202

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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Graphs: Year 9 – planning tool

  • TLF-IDA003213

This planning resource for Year 9 is for the topic of Graphs. Students work with points, straight lines and line segments on the Cartesian plane, and use the coordinates of points to apply the formulas for calculating the gradient, midpoint and length of a line segment (distance between two points). They use digital tools ...

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Probability calculations: Year 9 – planning tool

  • TLF-IDA003221

This planning resource for Year 9 is for the topic of Probability calculations. Students build on their knowledge of probability, Venn diagrams, two-way tables and the terms ‘and’ and ‘or’ (inclusive or exclusive) in relation to events whereby relative frequencies may be calculated.

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

  • TLF-IDA003208

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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Use variables: Year 9 – planning tool

  • TLF-IDA003216

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

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Operations: Foundation to Year 9

  • TLF-IDA003569

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Transformation: Year 9 – planning tool

  • TLF-IDA003203

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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Represent collected data: Year 9 – planning tool

  • TLF-IDA003247

This planning resource for Year 9 is for the topic of Represent collected data. Students are familiar with different types of visualisations of data and variables and can evaluate and interpret data displays. Students can label data as categorical (ordinal or nominal) or numerical (discrete or continuous) and consider which ...

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Statistical analysis: Year 9 – planning tool

  • TLF-IDA003245

This planning resource for Year 9 is for the topic of Statistical analysis. Students have knowledge of various representations of data and can now extend this to comparison. Students compare many data sets of numerical variables to make comparisons using appropriate mathematical vocabulary. Students consider the shape and ...

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Statistics and probability: Foundation to Year 9

  • TLF-IDA003557

This comprehensive resource describes the progression of ideas that cover statistics and probability. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in chance and data including teaching and cultural implications.

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Algebra: Foundation to Year 9

  • TLF-IDA003564

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.

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Assessment task: Non-transitive dice

  • TLF-IDA003651

This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to explore the outcomes of a set of non-transitive dice using probability tree diagrams, and discover their unique features. The assessment task is outlined in detail including ...

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Loot boxes

  • TLF-IDA003652

In this lesson, students will create their own video game concept, complete with a loot box system. They will then calculate the probability of obtaining all unique items to form a complete set, considering the challenges this random system entails and how the gambling system inherent could lead to unexpected losses. The ...

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Poker machines (simulation)

  • TLF-IDA003654

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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Measurement of error: Year 9 – planning tool

  • TLF-IDA003206

This planning resource for Year 9 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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Formulate and manipulate expressions: Year 9 – planning tool

  • TLF-IDA003214

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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Collect, sort and compare data: Year 9 – planning tool

  • TLF-IDA003225

This planning resource for Year 9 is for the topic of Collect, sort and compare data. Students examine different techniques for collecting types of data and begin to consider the challenges of collecting representative data by sampling a population.

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Conduct chance experiments: Year 9 – planning tool

  • TLF-IDA003224

This planning resource for Year 9 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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