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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations
Downloadable

Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

Downloadable

Operations: Foundation to Year 9

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.

Interactive

Piñata Party Tens (2-digit place value)

As a team, use your knowledge of tens and ones place values to help the goats release the treats from the piñata and have the GOAT party! Mathematical ideas and strategies this game supports: - Increasing and decreasing the value of 2-digit numbers. - Identifying the value of a digit based on its position in a numeral. - ...

Online

All operations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of All operations. Students use all four operations to solve problems with integers and rational numbers. They can use a range of written strategies and mental computation to demonstrate their understanding.

Online

Shooting 3-pointers: Part 1

In this lesson students are guided through solving a problem using mathematical modelling. Students are guided through the process of formulating a problem that can be solved using a mathematical modelling approach. A professional sporting context allows students to engage in a common basketball scoring move: shooting ...

Downloadable

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.

Online

Shooting 3-pointers: Part 2

In this lesson, students conduct a statistical investigation, collecting and analysing data using percentages, and choosing efficient calculations and strategies. The investigation is communicated visually and verbally to the teacher and peers. Students reflect on feedback and consider revisions for the investigation.

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Work sample Year 8 Mathematics: Random selection

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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8N04A Irrational numbers - Ochre Education

This unit of work focuses on irrational numbers. Students define, recognise, and approximate real and irrational numbers, including π and square and cube roots of non-perfect square and cube numbers; add and subtract, multiply and divide, raise to positive integer powers and the 0th power, square root and cube root irrational ...

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8N02A Rational numbers - Ochre Education

This unit of work focuses on rational numbers. Students define and write recurring non-terminating decimals using dot and vinculum notations; identify fractions that will have terminating or recurring non-terminating decimal expansions using the prime factorisation of the denominator in simplified form; convert between ...

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8N01A Integers - Ochre Education

This unit of work focuses on integers. Students add and subtract integers; establish multiplication and division of integers and build to raising to positive integer powers, square roots and cube roots; evaluate expressions involving combinations of operations and the use of brackets, fraction bars, and vinculums and consideration ...

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8N03A Percentages - Ochre Education

This unit of work focuses on percentages. Students practice writing one number as a percentage of another, including in financial applications; finding a percentage of a number, and finding the original amount that a percentage was of, given the result, including in financial applications; establish and use multipliers ...

Video

How does income tax work?

Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with ASIC Moneysmart's "Things to think about" classroom exercises.

Video

Numbers Count: Adding two numbers

How many different ways can you think of to add two numbers to reach ten? Watch this video to learn them all!

Online

reSolve: Polygon Pieces

This lesson explores the geometry of cutting polygons in different ways and using algebra to express subsequent findings. Students use one straight cut to divide a convex polygon into two new polygons. They make generalisations about the total number of sides of the two new polygons, and about the number of different combinations ...

Online

reSolve: Algebra: Think of a number - Linear Equations

This lesson explores algebra by generalising results from arithmetic used in 'think of a number' games. Students connect arithmetic operations with algebraic notation and visualisations. The lesson begins with an observation made using arithmetic that students then justify and extend using algebra. The lesson is outlined ...

Online

reSolve: Authentic Problems: What's For Lunch?

This sequence of four lessons invites students to investigate how many of a chosen food item are eaten at their school in a year. Students identify the mathematical knowledge they need to find how many of the selected items they eat in a year and devise a plan to find the total number, using grouping, partitioning and repeated ...

Online

reSolve: Algebra: Tens and Units

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. ...

Online

reSolve: Authentic Problems: Bunches of Balloons

This sequence of three lessons introduces division and multiplication through the context of decorating a room with clusters of balloons. Students carry out an inquiry using a variety of processes associated with multiplication and division such as grouping concrete objects, arrays, repeated addition and skip counting. ...

Online

reSolve: Multiplication: Making Robots

This sequence of lessons introduces the key idea of multiplication as a Cartesian product, using the language of 'for each'. Students explore the total number of different robots that can be made using three heads, three bodies and three feet. The students represent the different combinations for the robots as array. The ...