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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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Spending the lotto millions!

  • TLF-IDA003573

Students apply standard and non-standard place value partitioning to seven-digit numbers.

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Tuckshop orders

  • TLF-IDA003574

Students make calculations with money.

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Walking the rope

  • TLF-IDA003575

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

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How many quads?

  • TLF-IDA003578

In this lesson students revise and extend fluency of recall of the 4× facts. Students develop proficiently in multiplying and dividing by four, understanding the patterns in multiples of four, and applying strategies for mental multiplication with an emphasis on visual and numerical pattern recognition.

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Snail trails

  • TLF-IDA003580

Refer to the diagnostic task for a guide on how to conduct a one-on-one interview where the student is asked to measure length by choosing an informal unit.

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Introduction to trigonometry

  • TLF-IDA003319

These lesson plans guide the teacher on how to introduce trigonometry to students through an investigation of similar triangles.

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Broken ruler

  • TLF-IDA003586

This task can be used to reveal whether students can use markings on a ruler to measure in centimetres and whether they understand how the number on the scale relates to the units.

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Kitchen scales

  • TLF-IDA003587

Use this diagnostic task to assess a student's understanding of mass and the graduations on a kitchen scale.

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Make a measuring jug

  • TLF-IDA003588

Use this diagnostic task to assess a student's understanding of capacity and the calibrated scale on a measuring jug.

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The coloured cube

  • TLF-IDA003591

Use this task to reveal if the student can see in their ‘mind’s eye’ the transformation from a 2D net to a 3D object.

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Counter-intuitive probability

  • TLF-IDA003650

This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...

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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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Lucky lottery

  • TLF-IDA003656

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Prediction vs. reality

  • TLF-IDA003657

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

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Can you beat the system?

  • TLF-IDA003659

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. ...

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Online

Place Value: Lolly Shop

  • TLF-IDA003940

This sequence of 6 tasks explores the mathematical idea of '10 of these is equal to one of those'. Students explore through the context of a Lolly Shop as Ms Fizz counts and packs the lollies that she sells. They work with their own lollies and explore different ways that they might pack them to make it easy to count. The ...

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Mathletes in motion

  • TLF-IDA003488

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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Text

Work Unit: Mr Moon’s feathery problem - Calculate

  • TLF-IDA004338

This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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