Mathematics / Year 5 / Number

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Curriculum content descriptions

check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context (AC9M5N08)

Elaborations
  • interpreting a series of contextual problems to decide whether an exact answer or an approximate calculation is appropriate; explaining their reasoning in relation to the context and the numbers involved
  • recognising the effect of rounding addition, subtraction, multiplication and division calculations, rounding both numbers up, both numbers down, and one number up and one number down; explaining which estimation is the best approximation and why
  • considering the type of rounding that is appropriate when estimating the amount of money required; for example, rounding up or rounding down when buying one item from a store using cash, compared to rounding up the cost of every item when buying groceries to estimate the total cost and not rounding when the financial transactions are digital
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Estimation (Number operations),  Rounding

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 15

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This 2-week unit unit develops the big idea that addition and subtraction problems can be solved using a variety of strategies. Students are provided opportunities to: partition, rearrange and regroup numbers to at least 1000 to solve additive problems; choose and use efficient strategies to solve addition and subtraction ...

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This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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'Mission to Mars' - An AMSI Schools 'Rich Task' in Number & Place Value - Calculate

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This task aims provide a rich, contextual activity through which students can gain an understanding of the distances relevant to the size of our solar system, and how an understanding of place value, metric measurement systems and time measurement can be used to represent these large distances and convert calculations ...

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Estimation and Rounding - Calculate

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These activities focus on developing skills in estimation and rounding. Estimation can help children to make reasonable guesses at solutions and check the accuracy of their calculations.

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Work sample Year 5 Mathematics: Who were the fastest swimmers?

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This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 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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MathXplosion, Ep 16: It's an estimate, not a guess!

  • TLF-IDM024925

An approximation is the nearest estimate without having the precise size or measurement of something. See how accurate estimates are made in logical ways using information about many things in our everyday lives.

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MathXplosion, Ep 3: How many heads tall are you?

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What are non-standard measurement units? Did you know we can reliably use objects in the real world, including our own body parts, to measure things? This concept of anthropometry, the ratios of body measurements, was first proposed by Leonardo da Vinci.

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MathXplosion, Ep 5: Measure a tree without using a ladder

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What do you do when you need to measure a length, height or distance but don't have a ruler or some other measuring instrument? You can compute linear measurements with surprising accuracy using indirect measurements, proportions and estimations. Learn a nifty trick to measure a tree from a distance.

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Mixed Up Maths, Ep 6: Maths saves lives

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Can maths really help to save lives? In this clip we see some real life applications of mathematics. Some are about helping to save lives others are about how maths can be useful. What do Florence Nightingale and WHO, the World Health Organisation have in common?

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BTN: What is the GST?

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The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 11

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This 2-week unit unit develops the big idea that the number system extends infinitely to very large and very small numbers. Students are provided opportunities to: recognise, represent, order and partition large numbers; apply place value knowledge to recognise, name and order decimals; make connections between benchmark ...

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This 2-week unit unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations. Students are provided opportunities to: select and apply strategies to solve problems involving multiplication and division with whole numbers; investigate ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 6

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This 2-week unit unit develops the big idea that our number system extends infinitely to very large and very small numbers. Students are provided opportunities to: read, partition, rename, represent and order large numbers; recognise, name, compare, order and represent decimals; identify the relationship between addition ...

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This 2-week unit unit develops the big idea that fractions represent multiple ideas and can be represented in different ways. Students are provided opportunities to: partition, measure, label and compare lengths and wholes using fractions; solve problems with fractions; represent and compare fractions of measures and quantities; ...

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 2

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This 2-week unit unit develops the big idea that addition and subtraction problems can be solved by using a variety of strategies. Students are provided opportunities to: apply place value understanding to solve addition and subtraction problems; identify the connection between addition and subtraction; select and explain ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 1

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This 2-week unit unit develops the big idea that our number system extends infinitely to very large and very small numbers. Students are provided opportunities to: partition, represent and order larger numbers; apply place value to recognise, regroup and order whole and decimal numbers; explore the link between multiplicative ...

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In this learning sequence, students undertake research in order to create tour packs for families visiting Victoria. Students use public transport and tourism websites to develop itineraries outlining ways in which families can visit at least two places of interest using public transport. The packs include: information ...

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This interactive slideshow from the Royal Australian Mint provides a series of high resolution images and brief descriptions of currencies from Indigenous barter systems to modern Australian currency. A downloadable fact sheet on Australian coin history is accessible from selected pages within the slideshow.

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Online

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This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...

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