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Loot boxes

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)

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

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

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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The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Pour to decide

Use this diagnostic task to assess if students know about capacity and comparing containers based on how much they hold.

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Spending the lotto millions!

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

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Walking the rope

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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Snail trails

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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Assessment tasks: metric units and relationship to decimals

Use the diagnostic tasks, Page sections and Decimals and measures, to assess a student’s understanding of metric units and their relationship to decimals.

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How heavy is this frog/tin?

Use this diagnostic task to assess understanding of mass and units used to measure mass.

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Ice cream puddles

Use this diagnostic task to assess understanding of area and comparing the area of two shapes using a relevant approach.

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Kitchen scales

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

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Finding Shapes and Objects - Calculate

The focus of this activity is for students to count a variety of objects in their home environment and write the number for each.

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Multiplying two-digit numbers using the area model - Calculate

This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.

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Problem Solving (Year 6) - Calculate

This unit investigates the idea of problem solving in the year 6 classroom. By the end of Year 6 students should be able to solve problems involving addition, subtraction, multiplication and division or any combination of these processes. They should have a variety of problem-solving strategies in their repertoire, both ...

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Percentages - Calculate

In this unit, let’s look at how percentages are used in everyday life to compare changes in things and measure rates of change.

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Proportion, Graphs and Equations - Calculate

This unit challenges students to identify and describe everyday examples of ‘direct’ and ‘indirect’ proportion. They learn to recognise direct and inverse proportion from graphs, distinguish between positive and negative gradients and use the equation y = kx to model direct linear proportion.