Mathematics / Year 6 / Number

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Curriculum content descriptions

apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers (AC9M6N04)

Elaborations
  • applying estimation strategies to addition and subtraction of decimals to at least thousandths before calculating answers or when a situation requires just an estimation
  • applying whole-number strategies; for example, using basic facts, place value, partitioning and the inverse relationship between addition and subtraction, and properties of operations to develop meaningful mental strategies for addition and subtraction of decimal numbers to at least hundredths
  • working additively with linear measurements expressed as decimals up to \(2\) and \(3\) decimal places; for example, calculating how far off the world record the athletes were at the last Olympic games in the women’s long jump or shot-put and comparing school records to the Olympic records
  • deciding to use a calculator as a calculation strategy for solving additive problems involving decimals that vary in their number of decimal places beyond hundredths; for example, \(1.0 - 0.0035\) or \(2.345 + 1.4999\)
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Subtraction,  Estimation (Number operations),  Decimals,  Rounding,  Addition

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4 direct matches to AC9M6N04 | 16 other related resources
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Downloadable

Smart shopping

  • TLF-IDA003520

Students compare and evaluate different shopping options.

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Decimals: Adding and subtracting

  • TLF-IDA004919

In this lesson, students learn about place value and how it extends beyond whole numbers. Students play a board game that draws on their knowledge of adding decimals to tenths, hundredths and thousandths with and without regrouping.

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Event Planner - Calculate

  • TLF-IDA004365

This investigative project gives students the experience of being a professional ‘event planner’, by organising a special event such as a wedding reception, farewell or special birthday party. Students are asked to prepare a comprehensive plan that outlines a floor and seating plan, a fully costed menu, a monetary quote ...

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Decimals

  • TLF-IDM013356

This is a website designed for teachers and students in year 5, and addresses components of the working with decimals topic. It is particularly relevant for comparison, addition, subtraction, multiplication and division with decimals. There are pages for both teachers and students. The student pages contain interactive ...

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Text

reSolve: Reconciliation data

  • TLF-IDM021059

This lesson prompts students to examine data from the Reconciliation Barometer report, collect their own local data and compare with the national findings. Students discuss the meaning of reconciliation, explore statements from Reconciliation Barometer report, design a survey to collect local data relating to the statements ...

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Video

Algebra basics video

  • TLF-IDA003312

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Video

Catalyst: Prime number keys

  • TLF-IDM015451

Have you ever wondered how modern day encryption works? How are messages and financial transactions kept hidden from cyber criminals and hackers? Listen to reporter Ruben Meerman and mathematician Simon Pampena discuss the largest prime number ever found and how prime numbers are used to encrypt electronic information.

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Video

Fractions in the real world

  • TLF-IDM020296

How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

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Video

BTN: What is the GST?

  • TLF-IDM021150

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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Video

Patterns, primes and Pascal's Triangle

  • TLF-IDM017686

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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Video

ABC News: Mapping a sea voyage: calculating distance

  • TLF-IDM015842

Scientists involved in the Two Bays Project describe data collection methods for their 20-day expedition around Port Phillip and Western Port bays. Watch this clip to view the route mapped out by the scientists. Use Google Maps to recreate the route and calculate the total distance travelled.

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Video

Catalyst: Small scale measurements

  • TLF-IDM017558

What units of measurements do we use to describe incredibly small things like blood cells and atoms? Watch as you are taken on a journey to explain the different units of measurement that we use to describe the very small.

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Video

MathXplosion, Ep 1: Magic 9s

  • TLF-IDM024938

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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Video

MathXplosion, Ep 40: Kaprekar's operation

  • TLF-IDM024984

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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Video

Multiplying and dividing decimals

  • TLF-IDM020281

Learn how to multiply and divide decimals by 100. Based on this video, see if you can work out how to multiply and divide decimals by 10 and 1000. What do you get if you multiply 0.375 by 10?

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Video

Adding decimals

  • TLF-IDM011494

This is a video demonstration, with audio commentary, of the procedure of adding decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to addition of decimal fractions involving tenths and hundredths, are presented with answers, ...

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Text

Percentage discounts

  • TLF-IDM014014

This is a website designed for both teachers and students that refers to making connections between percentages, decimals and fractions, as well as calculating percentages and percentage discounts from the Australian Curriculum for year 6 students. It contains material on calculating percentages of an amount and calculating ...

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

  • TLF-IDM008607

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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Interactive

Arithmetic four

  • TLF-IDM012008

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 14: Number and Algebra: fractions - teacher guide

  • TLF-IDM008602

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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