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

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

Interactive Resource

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 Resource

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 ...

Interactive resource

School canteen: best buy: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that the unit prices are different for packs of different sizes. Perform basic calculations to work out how many packs you will need, and which available pack size will be the cheapest. ...

Interactive resource

School canteen: estimate and check: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that unit prices vary depending on the multiples in which items are sold. Look at the shopping list and check the prices and package sizes from the price catalogues of two traders. Estimate ...

Interactive resource

Hopper: tenths

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of tenths to a starting number. For example, 29.5+(12 x 0.2) = 31.9. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive resource

School canteen: two traders: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and cheese sticks. For each item on the shopping list, check the prices and package sizes of two traders. Perform basic calculations to select the cheaper deal for each item. Compare the total cost of the items from ...

Interactive resource

School canteen: estimate and check: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and sesame bars. Notice that unit prices vary depending on the multiples in which items are sold. Look at the shopping list and check the prices and package sizes from the price catalogues of two traders. Estimate which ...

Interactive resource

School canteen: restock: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as muffins or bread rolls. Notice that the unit price of the items remains the same regardless of the quantity purchased. Perform basic calculations to work out how many packs you will need. For example, in order to purchase 80 bread rolls (available ...

Teacher resource

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 ...

Moving Image

Decimal multiplication: petrol prices

Petrol for our cars is made from crude oil. The price of crude oil is constantly changing. This affects the price of petrol at the pump. Listen to Natasha Thiele explain how and why the price of petrol keeps changing. This clip provides context for decimal multiplication.

Interactive resource

School canteen: restock: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as muffins or bread rolls. Notice that the unit price of the items remains the same regardless of the quantity purchased. In this level, perform slightly harder calculations to work out how many packs you will need. For example, in order to purchase ...

Moving Image

Calculating percentage and simple interest: Banking

Most of us use banks to keep our money safe. We put our money in, can access it at any time and earn interest. So how do the banks make such enormous profits? Where does that money come from? Listen to Nathan Bazley explain how the banks use your money and make a profit. This clip provides a context for percentage, simple ...

Interactive resource

Wishball: tournament

Challenge your understanding of place value in whole numbers and decimal fractions, from 0.001 to 9999. Either add or subtract numbers to reach a target number. For example, receive a starting number of 39.61. Spin the number 5 and decide whether to add or subtract 0.05, 0.5, 5 or 50 to reach your target number of 70.12 ...

Interactive resource

Wishball challenge: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

Interactive resource

Hopper challenge: ultimate

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of tenths or whole numbers to a starting number. For example, 29.5+(12 x 0.2) = 31.9. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern ...

Interactive resource

Wishball: thousandths

Test your understanding of decimal place value with numbers that include thousandths. Receive a starting number, such as 3.569, and work towards turning it into a target number, such as 7.832. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Tablet friendly (Interactive resource)

Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Tablet friendly (Interactive resource)

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 resource

Design your own school

Help a town planner to design a site plan for a school. Using a 10x10 grid, design areas for two regions (playgrounds and classrooms) based on the percentages given. Assign the area for an additional six regions, using percentages of your choice. Observe the number line displaying equivalent fractions for the percentages ...

Interactive resource

Wishball: ultimate

Test your understanding of decimal place value with whole numbers or numbers that include tenths, hundredths or thousandths. Receive a starting number, such as 3569, 356.9, 35.69 or 3.569, and work towards turning it into a target number, such as 7832, 783.2, 78.32 or 7.832. Spin a random digit, choose its decimal place ...

Interactive resource

Balance the blobs: find the rule 2

Balance scales by using blobs. Using non-unit ratios, such as 3:2, 4:5 or 5:2, explore how many black blobs and white blobs balance each other. Discover the rule that balances the scales with the correct number and type of blobs. For example, 3 black blobs balance 2 white blobs. Find out how many black blobs balance 4 white ...

Interactive resource

The divider: solve your own problem

Create and solve division problems such as 156/6. Use a partitioning tool to help solve division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.