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

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

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

Elaborations
  • extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths
  • exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Rounding,  Subtraction,  Addition,  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

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. ...

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

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' ...

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 ...

Interactive resource

Wishball challenge: 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 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

Summing Decimals

An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

Interactive resource

Wishball challenge: 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

Hopper: ultimate

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of decimal fractions or whole numbers to a starting number. For example, 1.72 + (11 x 0.07) = 2.49. Explore the patterns made on a counting grid and number line. Identify counting rules that match ...

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. ...

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

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

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 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

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 ...

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 ...

Tablet friendly (Interactive resource)

Fraction fiddle: hit the apple

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 ...

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. ...

Interactive resource

Wishball: tenths

Test your understanding of decimal place value with numbers that include tenths. Receive a starting number, such as 128.9, and work towards turning it into a target number, such as 845.6. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...