Mathematics / Year 6 / Number and Algebra / Number and place value

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Curriculum content descriptions

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

Elaborations
  • applying strategies already developed for solving problems involving small numbers to those involving large numbers
  • applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Mental arithmetic,  Subtraction,  Addition,  Written calculations

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4 direct matches to ACMNA123 | 16 other related resources
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What's the problem: nature: level 2

  • TLF-IDL8157

Star as a contestant in a quiz show! Select three worded mathematical problems, about nature, from two categories: 'plants' or 'animals'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score.

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ABC News: Mapping a sea voyage: calculating distance

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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

BTN: Yes, fashion designers need maths skills!

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Are you interested in becoming a fashion designer? Or an architect? Or a pilot? Did you know that you need maths skills to succeed in all of these careers? Watch this video to learn how fashion designer Cristina uses maths in her work. How does architect Thomas use it? And why is maths important to pilot Paul? Can you think ...

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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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Video

Numbers Count: What are factors?

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What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

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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 11: Fun facts about the number seven

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Did you know that the digits on opposite faces of dice will always add up to seven? Use dice as fun tools to reinforce fact families of seven, multiples of seven and subtraction skills.

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Video

Subtracting decimals

  • TLF-IDM011495

This is a video demonstration, with audio commentary, of the procedure for pen-and-paper subtraction of decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to subtraction of decimal fractions involving tenths and hundredths, ...

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Interactive

The difference bar: go figure

  • TLF-IDL114

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

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Interactive

Circus towers: square stacks

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Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

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Interactive

The foul food maker: go figure

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This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

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Interactive

Fraction fiddle: hit the apple

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Help an archer to hit an apple with his arrow. Build two fractions to make a total of one whole. Complete the numerators of both fractions (they may have fixed denominators). For example, work out how many quarters and how many eighths can be added together to total one whole. Look at fraction bars and a number line to ...

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Interactive

Fraction basics - Easy & Effective Fractions Tutor - iTunes app

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Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

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Video

MathXplosion, Ep 17: Develop mathematical mind-reading skills

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Amaze your friends with your super mind-reading skills. Here’s a brain game you can play by asking a few questions and substituting letters for numbers! Learn to follow a specific sequence of arithmetical steps to always arrive at the same answer.

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Video

Fractions in the real world

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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

MathXplosion, Ep 6: Zero the hero

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What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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Video

Catalyst: Prime number keys

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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

Catalyst: Prime numbers and unbreakable codes

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Imagine if anyone was able to read all our secret, encrypted messages and information. Watch and find out how scientists at the Australian National University are developing a new encryption system using quantum physics and quantum computing.

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Video

Patterns, primes and Pascal's Triangle

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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

What is a quarter?

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What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.

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