Mathematics / Year 6 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129)

Elaborations
  • interpreting the results of calculations to provide an answer appropriate to the context
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Decimals

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Converting Decimals Year 6 - Calculate

This task introduces students to a practical situation that involves multiplying and dividing decimals by powers of 10. We want students to focus to use what they know about the measurement in order to explain how to convert them, rather than simply applying a procedure.

Online

Four operations: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Four operations. Students apply knowledge of place value to add and subtract decimals, using digital tools where appropriate. They further develop whole number multiplication and then strengthen their understanding of decimals by multiplying and dividing decimals and ...

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Work sample Year 6 Mathematics: How tall?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 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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Money Year 5 & 6 - Calculate

The focus of this activity to challenge students to apply their knowledge of the four operations to solve a problem involving money. Students also need to demonstrate their ability to explain using evidence which option is the best.

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Work Unit: Mr Moon’s feathery problem - Calculate

This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

Online

Decimals

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 ...

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.

Interactive

MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

Video

Numbers Count: What are factors?

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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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.

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MathXplosion, Ep 6: Zero the hero

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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MathXplosion, Ep 11: Fun facts about the number seven

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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Patterns, primes and Pascal's Triangle

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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What is a quarter?

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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MathXplosion, Ep 17: Develop mathematical mind-reading skills

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.

Interactive

Circus towers: square stacks

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 ...

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, ...

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.

Interactive

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

Video

Adding decimals

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, ...