Mathematics / Year 5 / Number and Algebra / Number and place value

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Curriculum content descriptions

Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100)

Elaborations
  • exploring techniques for multiplication such as the area model, the Italian lattice method or the partitioning of numbers
  • applying the distributive law and using arrays to model multiplication and explain calculation strategies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Multiplication,  Mental arithmetic,  Written calculations

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20 direct matches to ACMNA100

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Making maths quizzes 2: Implementing a digital solution

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In this sequence students implement a digital solution for a maths quiz. They test and assess how well it works.

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Making maths quizzes 1: Plan and test our programs

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In this sequence students plan, create and edit a program that will ask maths questions that are harder or easier depending on user performance.

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Interactive

The multiplier: go figure

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This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

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Online

reSolve: Multiplication - reSolve Bakery

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This series of three lessons explores strategies for multi-digit multiplication. Students are presented with a range of problems in the context of a bakery producing arrays of cupcakes. The lessons aim to develop a range of strategies based on the associative and distributive properties of multiplication, moving students ...

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations Multi-age 3–6 Year B – Unit 13

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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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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world Multi-age 3–6 Year B – Unit 12

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This 2-week unit unit develops the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world. Students are provided opportunities to: combine and split common shapes; transform two-dimensional and composite figures by reflecting, translating, and rotating; ...

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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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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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Hunting for Patterns and Rules | DET - Learning sequences

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This learning sequence encourages students to develop their understanding of patterns and algebra. Pattern recognition supports the development of computational thinking. This sequence provides opportunities for students to build their algebraic thinking by analysing patterns and exploring generalisations and relationships. ...

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

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This unit develops the big idea that our number system extends infinitely to very large and very small numbers.

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

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This 2-week unit develops the big idea that our number system extends infinitely to very large and very small numbers.

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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world: Multi-age 3–6 Year A – Unit 12

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This 2-week unit introduces the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world.

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations: Multi-age 3–6 Year A – Unit 7

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This 2-week unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations.

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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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Money Year 5 & 6 - Calculate

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The focus of this activity to challenge students to apply their knowledge of the four operations to solve a problem involving money. Students also need to demonstrate their ability to explain using evidence which option is the best.

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Multiplying two-digit numbers using the area model - Calculate

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This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.

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Factors, multiples, primes: Year 5 – planning tool

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This planning resource for Year 5 is for the topic of Factors and multiples. Students investigate the properties of multiplication as they learn increasingly efficient and sophisticated strategies to solve multiplication problems. They also explore divisibility rules.

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Efficient strategies: Year 5 – planning tool

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This planning resource for Year 5 is for the topic of Efficient strategies. Students use efficient ways to multiply and divide numbers using increasingly sophisticated strategies. They develop flexible strategies to solve multiplication facts and related division facts and consolidate automatic recall. They identify and ...

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Video

Multiplication: 2 digit by 2 digit numbers: video and teaching guide

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This video explores multiplicative strategies, methods and models to solve a given worded problem. It uses a scenario of a student helping a sibling to explore and discuss methods for solving the problem: ‘How many months has a 25 year old been alive?’ It shows how prior knowledge is required to know what type of calculation ...

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