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

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

Video

BTN: Yes, fashion designers need maths skills!

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Interactive

What's the problem: nature: level 2

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.

Video

ABC News: Mapping a sea voyage: calculating distance

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.

Online

Literacy and numeracy improvement: a whole-school approach

This teacher resource describes how 74 public schools in metropolitan, regional and rural Western Australia used three major components of the school improvement cycle to achieve significant improvement in the literacy and numeracy learning outcomes of their students. The resource is organised in nine sections: Summary, ...

Interactive

Arithmetic four

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Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Online

MoneySmart: The fun begins: plan, budget, profit!

This is a unit of work integrating aspects of the year 6 mathematics, English, geography, and economics and business curriculums around planning a nature fun park. The unit is intended to take about eight hours. It consists of eight sets of student activities supported by teacher notes, including mapping, holding discussions, ...

Interactive

The foul food maker: go figure

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Video

Numbers Count: What are factors?

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Interactive

Cassowary ecology quiz

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Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Interactive

The divider: with or without remainders

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Interactive

Wishball: hundredths

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Video

Catalyst: Prime number keys

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Audio

Self Improvement Wednesday: The beauty of prime numbers

A prime number is a number that only has two factors: one and itself. Listen to Adam Spencer and Richard Glover discussing prime numbers. They cover how we define these numbers and how and why prime numbers are widely used in internet encryption.

Video

Patterns, primes and Pascal's Triangle

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Video

Catalyst: Prime numbers and unbreakable codes

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Video

What is a quarter?

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Video

Adding decimals

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Video

Subtracting decimals

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, ...