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Mathematics / Year 5 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Compare, order and represent decimals (ACMNA105)

Elaborations
• locating decimals on a number line
General capabilities
• Numeracy Numeracy
ScOT terms

Decimals,  Numerical order

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Year level 5-6
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Learning area Mathematics

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Swamp survival: hundredths challenge

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look carefully at whole numbers and the tenths or hundredths. Put the decimals in order ...

Sites2See – number for primary

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

Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...

Swamp survival: hundredths counting

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, counting by either tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a counting pattern. Put the decimals ...

Decimaster: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial, array and pie ...

Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

Decimaster collections: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame, ...

Decimaster plus: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a number line and a common fraction. Match three decimals with each tool. This learning object is one in a series of nine objects.

Swamp survival: thousandths counting

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, counting by thousandths to form the path. Compare the decimal fraction on each stepping-stone to the others to see if it is larger or smaller. Look for a counting pattern. Put the decimals in order from ...

Decimaster: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame, dial, array ...

Swamp survival: thousandths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by hundredths and thousandths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the ...

Scale matters: hundredths

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as hundredths. Look at a pair of numbers such as 8.97 and 9.12 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked ...

Scale matters: tenths

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as tenths. Look at a pair of numbers such as 29.7 and 30.2 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked ...

Swamp survival: thousandths challenge

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look carefully at whole numbers and the tenths, hundredths or thousandths. Put the decimals ...

Decimaster collections: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a collection (represented by fishbowls) and adjust a common fraction. Match three decimals with each tool. This learning object is one in a series of nine objects.

Decimaster plus: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame ...

Decimaster plus: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame and dial. ...

Decimaster collections: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial and ...

Ordering Decimals

An animated tutorial about ordering numbers with up to 3 decimal places. An interactive quiz is included.

Virtual manipulatives - iTunes app

Explore the relationship between equivalent fractions, decimals and percentages. This resource has great application for use on an interactive whitebaord or at home as a family maths focus. Annotate and save your work to your device. Free when reviewed on 12/5/2015.

Hopper: hundredths

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of hundredths 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 the pattern of 'landing ...

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. ...

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' ...

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. ...

Scale matters: decimal numbers: assessment

Test what you know about using scales ranging from hundreds and tens down to tenths and hundredths. Look at two numbers and place a third number on a number line. Rename the third number by assigning place values for each digit or group of digits. For example, look at the numbers 74.6 and 76 on a number line and select ...

Scale matters: all numbers: assessment

Test your understanding of the use of scales, ranging from tens of thousands or thousands through to ones, tenths or hundredths. Look at two numbers and place a third number on a number line. Rename the third number by assigning place values for each digit or group of digits. For example, look at the numbers 105 384 and ...

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 ...

Wishball challenge: 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 use the given operation (either addition or subtraction) on your starting number. ...

Hopper challenge: tenths

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 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 ...

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 ...