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

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

Recognise that the place value system can be extended beyond hundredths (ACMNA104)

Elaborations
  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001
General capabilities
  • Numeracy Numeracy
ScOT terms

Place value,  Decimals

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Year level 5-6
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Learning area Mathematics

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2 direct matches to ACMNA104

Interactive Resource

Sites2See – number for primary

  • TLF-IDM016278

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

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Tablet friendly (Interactive resource)

Wishball: hundredths

  • TLF-IDL869

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. ...

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Interactive resource

Scale matters: hundredths

  • TLF-IDL2000

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 ...

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Interactive resource

Wishball: tenths

  • TLF-IDL868

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. ...

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Interactive resource

Decimaster: match-up 2

  • TLF-IDL1077

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 ...

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Tablet friendly (Interactive resource)

Decimaster: match-up 1

  • TLF-IDL1076

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.

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Interactive resource

Decimaster collections: match-up 3

  • TLF-IDL1083

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, ...

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Interactive resource

Scale matters: tenths

  • TLF-IDL1998

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 ...

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Interactive resource

Decimaster collections: match-up 1

  • TLF-IDL1081

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.

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Interactive resource

Decimaster collections: match-up 2

  • TLF-IDL1082

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 ...

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Interactive resource

Hopper: tenths

  • TLF-IDL1085

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' ...

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Interactive resource

Hopper: hundredths

  • TLF-IDL587

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 ...

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Interactive resource

Decimaster: match-up 3

  • TLF-IDL586

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 ...

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Interactive resource

Decimaster plus: match-up 3

  • TLF-IDL1080

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 ...

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Assessment resource

Scale matters: decimal numbers: assessment

  • TLF-IDL8630

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 ...

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Interactive resource

Swamp survival: hundredths challenge

  • TLF-IDL7903

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 ...

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Interactive resource

Swamp survival: hundredths patterns

  • TLF-IDL7902

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 ...

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Interactive resource

Hopper: whole numbers

  • TLF-IDL1084

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

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Interactive resource

Swamp survival: hundredths counting

  • TLF-IDL7901

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 ...

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Interactive resource

Hopper challenge: whole numbers

  • TLF-IDL1087

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 1+ (5 x 2) = 11. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...

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