Mathematics / Year 8 / Number

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

recognise terminating and recurring decimals, using digital tools as appropriate (AC9M8N03)

Elaborations
  • identifying when a fraction has a terminating decimal expansion from the prime factorisation of its denominator; for example, \(\frac7{24}\;=\;0.291\overset\_6\) does not have a terminating decimal expansion, while \(\frac7{25}\;=\;0.28\) does
  • identifying terminating, recurring and non-terminating decimals and choosing their appropriate representations such as \(\frac13\) is represented as \(0.\overset\_3\)
ScOT terms

Repeating decimals,  Irrational numbers,  Number operations

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Investigating terminating and recurring decimals

  • TLF-IDM014017

This is a website designed for both teachers and students that refers to terminating and recurring decimals from the Australian Curriculum for year 8 students. It contains material on which decimals are terminating and which are recurring, and gives methods for determining both from corresponding fractions. There are pages ...

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Investigating Decimal Numbers - Calculate

  • TLF-IDA004263

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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Proportional reasoning video

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Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

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MathXplosion, Ep 1: Magic 9s

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Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

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Mystery man Pythagoras meets his match

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What do you know about Pythagoras? Join Vi Hart as she not only explains his theorem but raises some legends about his dark past! Follow Vi's timeline of famous mathematicians to find out in which century Pythagoras lived. See how Vi shows a proof of his theorem and raises what was a big dilemma for Pythagoras: the irrational ...

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BTN: What is the GST?

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The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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MathXplosion, Ep 40: Kaprekar's operation

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Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

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Are plants mathematicians?

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Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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How does income tax work?

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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.

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MathXplosion, Ep 7: The power of exponents

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Have you heard of the term "exponential growth"? Growth can occur very quickly when powers are involved. See how you can use the power of two to rapidly increase the amount of anything from grain to coins!

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Equivalent linear algebraic expressions

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This is a six-page HTML resource about solving problems concerning equivalence of linear algebraic expressions. It contains one video and four questions, three of which are interactive. The resource discusses and explains equivalence of linear algebraic expressions to reinforce students' understanding.

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Arithmetic four

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This is an interactive game for two students in which they solve arithmetic problems, similar to 'Connect four'. The players can choose to work with whole number and integer addition, subtraction, multiplication and division. The length of time each player will have and the level of difficulty of the problems can also be ...

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TIMES Module 32: Number and Algebra: fractions and the index laws in algebra - teacher guide

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This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

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Irrational Numbers - Calculate

  • TLF-IDA004269

In this unit, let's investigate irrational numbers! We'll look at some examples of commonly used irrational numbers such as Pi (π), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world

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TIMES Module 15: Measurement and Geometry: Pythagoras's theorem - teacher guide

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This is a 24-page guide for teachers. It contains proofs of Pythagoras's theorem and its converse, applications of Pythagoras's theorem and a discussion of Pythagorean triads. A history of Pythagoras's theorem concludes the module.

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TIMES Module 18: Number and Algebra: decimals and percentages - teacher guide

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This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...

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TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

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This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

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TIMES Module 14: Number and Algebra: fractions - teacher guide

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This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

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The maths behind RGB images

  • TLF-IDA004599

In this lesson, students explore the RGB (Red, Green, Blue) colour model commonly used in digital imaging and display systems. They learn how each colour in the RGB model is represented by 8 bits and understand why there are 256 color intensities for each channel. Students will represent the 8 bits using their mathematical ...

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Moving out of home

  • TLF-IDA005438

This lesson explores costs and responsibilities associated with moving out of home and setting up living arrangements. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

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