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Transformation: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Transformation. Students describe translations, reflections and rotations and identify line (mirror) and rotational symmetries. They will extend their understanding of transformations through exploring transformations on the Cartesian plane.

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Beeswax wrap project

This project creates opportunities for students to design, create, market and sell a plastic wrap alternative, and to work with a local business or community group that supplies some materials. This lesson was devised by Trudy Ward, Clarendon Vale Primary School, Tasmania.

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Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Efficient strategies: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Efficient strategies. Students use efficient ways to multiply and divide numbers using increasingly sophisticated strategies. They develop flexible strategies to solve multiplication facts and related division facts and consolidate automatic recall. They identify and ...

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Factors, multiples, primes: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Factors and multiples. Students investigate the properties of multiplication as they learn increasingly efficient and sophisticated strategies to solve multiplication problems. They also explore divisibility rules.

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Estimating and rounding decimals

In this lesson, students draw on prior knowledge of rounding whole numbers to develop their understanding and fluency when rounding decimals and are encouraged to reason and problem-solve through a variety of contextual activities. Students will also develop an appreciation of the role of estimation in mathematics and science.

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Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Expressions, formulas and substitution

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Position and location: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Position and location. Students demonstrate understanding of objects in two dimensions (2D). Students can draw various shapes in different ways, such as drawing informally on blank paper, on grid paper, or in an isometric representation; discuss the reasons behind the ...

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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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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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Work sample Year 7 Mathematics: Investigations

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 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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7N01A Integers - Ochre Education

This unit of work focuses on integers. Students define, represent integers on number lines and Cartesian planes using a variety of scales on the axes, compare and order, add and subtract integers; evaluate expressions involving combinations of addition and subtraction of integers, including the use of brackets and consideration ...

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7N02A Square and cube numbers - Ochre Education

This unit of work focuses on square and cubic numbers. Students define and use exponent notation to write the square and cube operations; identify and recall square and cube numbers to at least 20² and 10³; evaluate squares and cubes of positive integers; evaluate square and cube roots of positive integer perfect squares ...

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7N04A Decimals - Ochre Education

This unit of work focuses on decimals. Students represent, compare, and order positive and negative decimals; convert between terminating decimals and fractions; add, subtract, multiply, divide (including writing one number as a decimal of another and finding a decimal of a number), square, cube, square root and cube root ...