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

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

Online

Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

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 ...

Interactive

Divide it up: puppies

Use a dividing tool to make equal shares of biscuits and toys in a pet shop. For example, share 34 biscuits equally between 6 puppies. Predict how many items each puppy will get, or how many packets can be filled. Check your prediction. Decide what to do with any leftovers. Complete a sentence describing the number operations.

Interactive

Divide it up: grouping tool

Use a dividing tool to make equal shares of stationery such as pens, pencils or crayons. Complete a sentence describing a number operation. For example, pack 24 crayons into packets of 5. Predict how many packets are needed and identify how many items are left over.

Interactive

The array

Use an array-building tool to help solve multiplications. Explore strategies to break up multiplications. Create and solve easy multiplications such as 9x3. Examine relationships between rows, columns and areas in arrays.

Online

Mental calculation strategies - multiplication and division

This collection of 14 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing multiplication and division. The collection also aims to develop and consolidate students' knowledge of multiplicative number facts. It is organised in four categories: ...

Online

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

Interactive

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Interactive

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

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 ...

Online

Thinking multiplication: assessment: teacher guide

Use this resource with 'Thinking multiplication: 2-digit by 1-digit: assessment' (L9923) and 'Thinking multiplication: 2-digit by 2-digit: assessment' (L9919). First, see a profile of the assessment objects, which gives you some helpful background information. Then follow clear guidelines on the marking and interpretation ...

Interactive

What's the problem: nature: level 2

Star as a contestant in a quiz show! Select three worded mathematical problems, about nature, from two categories: 'plants' or 'animals'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score.

Online

Exploring division and multiplication

This collection of 17 digital curriculum resources contains activities to consolidate and extend students' problem-solving skills in the areas of multiplication and division. The first category, arrays, allows students to visualise problems while consolidating the idea that multiplication involves repeated groups of objects. ...

Video

Prime number keys

Have you ever wondered how modern day encryption works? How are messages and financial transactions kept hidden from cyber criminals and hackers? Listen to reporter Ruben Meerman and mathematician Simon Pampena discuss the largest prime number ever found and how prime numbers are used to encrypt electronic information.

Video

Prime numbers and unbreakable codes

Imagine if anyone was able to read all our secret, encrypted messages and information. Watch and find out how scientists at the Australian National University are developing a new encryption system using quantum physics and quantum computing.

Video

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.

Video

Double that number

Explore an age-old multiplication method that repeatedly doubles numbers to get a product. Learn how this ancient method of multiplication is similar to that used by modern computers.

Video

Decimal multiplication: petrol prices

Petrol for our cars is made from crude oil. The price of crude oil is constantly changing. This affects the price of petrol at the pump. Listen to Natasha Thiele explain how and why the price of petrol keeps changing. This clip provides context for decimal multiplication.

Video

Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

Video

Calculate your compost

Watch this clip and learn how to make the best use of your fruit and vegie scraps. What are the three uses Costa suggests? JP Williamson says that, on average, households produce 2.3kg of compostable food waste per week. Can you use this figure to calculate how much food waste your street produces each week? Using your ...