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First steps in mathematics: Measurement – Book 1

The content of this book is organised into topics including understanding units, and direct measuring.

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Bright budgeting

Students make calculations with amounts of money and make financial decisions.

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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

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Can you beat the system?

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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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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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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Measuring sticks: Decimals

In this lesson, students learn about place value and how it extends beyond whole numbers. They use drinking straws to model decimals.

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Transformations Year 3 & 4 - Calculate

This lesson helps students explore different shape transformations and describe symmetry in objects and images.

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Work sample Year 4 Mathematics: Number: addition and subtraction

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 4 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 8 Mathematics: Linear Relationships in the real world

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 8 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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8A02A Equations - Ochre Education

This unit of work focuses on equations. Students solve linear equations involving integers and rational numbers as coefficients and solutions, the unknown on one or both sides of the equation, expanding brackets and simplifying expressions on one or both sides of the equation including verifying solutions; solve pure quadratic ...

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8M01A Time and duration - Ochre Education

This unit of work focuses on time and duration. Students define time zones and determine the corresponding time in different time zones in 12- and 24-hour time using GMT and UTC; determine departure and arrival times in both departure and arrival time zones given the travel duration; determine the travel duration given ...

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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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Investigating Decimal Numbers - Calculate

In this unit let’s investigate terminating and recurring decimals. We’ll learn how to use the correct mathematical symbols for recurring (repeating) decimals, how to convert fractions into terminating or recurring decimals and how to interpret these numbers on a calculator.

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Multiplication Facts - Calculate

This resources describes some games and activities that can be used to help students learn the multiplication facts (or times tables) up to 10 × 10.

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Grid Games - Calculate

This game, played in on a grid on the classroom floor, challenges students to develop directional language and use coordinates to locate places on a grid. The instructions include multiple variations on the game which focus on different aspects of location and direction concepts.

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The Power of Ten - Calculate

This activity aims to improve student fluency in mentally multiplying and dividing numbers by 10, 100 and 1000.

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Decimals Year 3 & 4 - Calculate

The focus of this activity is to find out what students know about addition of decimals and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Inquiry Prompt Ribbon Bow - Calculate

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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Measures of turn (angles): Year 4 – planning tool

This planning resource for Year 4 is for the topic of Measures of turn (angles). Students develop their understanding that an angle is a figure formed by two rays sharing a common end point, called the vertex of the angle.