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

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

Text

reSolve: Multiplication - reSolve Bakery

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 ...

Interactive

The multiplier: go figure

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 ...

Text

reSolve: Multiplication: What is a Plocoroo?

In this sequence of two tasks, students use an animal flip book to explore the multiplicative idea of 'for each' by determining the number of possible animal combinations, represented as a Cartesian product. Students explore how many different combinations can be made in a flip book with ten animal heads, ten bodies, and ...

Text

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

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 ...

Text

Money Year 5 & 6 - Calculate

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.

Text

Multiplying two-digit numbers using the area model - Calculate

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.

Text

reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

Text

reSolve: Lamingtons

This sequence of three lessons explores the mathematical idea that fractions represent division. In the first lesson, students are invited to solve a problem involving fair sharing of different plates of lamingtons. Students explore how the denominator represents how many shares and the numerator represents the number being ...

Video

What is a fractal?

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

Video

MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

Video

MathXplosion, Ep 31: Heavy vs big

How would you measure and compare the weight of something? Learn why big things aren't necessarily heavy. All you need is something heavy and a lot of something light and you’ll be able to prove that weight is not the same as size.

Video

MathXplosion, Ep 40: Kaprekar's operation

Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

Text

TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

Text

Subtraction Strategies - Calculate

This game gives students opportunities to practice subtraction skills and to learn subtraction strategies, including the jump strategy, the split (or partition) strategy, compensation and the count-up to strategy (sometimes called the Shopkeeper’s method).

Text

Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

Text

Factors and Multiples - Calculate

These games and activities require children to identify factors and multiples to help children become more familiar with these terms. This understanding will support children’s ability to solve problems, including knowing how to add fractions with different denominators.

Text

TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

Interactive

The foul food maker: go figure

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 ...

Video

Numbers Count: What are factors?

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

Text

The Power of Ten - Calculate

This activity aims to improve student fluency in mentally multiplying and dividing numbers by 10, 100 and 1000.