Close message Scootle will be undergoing maintenance between 17:00 to 19:00 on 25 September 2023. You may experience intermittent connection during this time. We apologize for any inconvenience caused.

# Mathematics / Year 5 / Number

Version 9
Curriculum content descriptions

solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers (AC9M5N06)

Elaborations
• solving multiplication problems such as $$253 \times 4$$ using a doubling strategy; for example, $$2 \times 253 = 506$$ and $$2 \times 506 = 1012$$
• solving multiplication problems like $$15 \times 16$$ by thinking of factors of both numbers, $$5 = 3 \times 5, 16 = 2 \times 8$$; rearranging the factors to make the calculation easier, $$5 \times 2 = 10, 3 \times 8 = 24$$ and $$10 \times 24 = 240$$
• using an array to show place value partitioning to solve multiplication, such as $$324 \times 8$$, thinking $$300 \times 8 = 2400, 20 \times 8 = 160, 4 \times 8 = 32$$ then adding the parts, $$2400 + 160 + 32 = 2592$$ ; connecting the parts of the array to a standard written algorithm
• using different strategies used to multiply numbers, explaining how they work and if they have any limitations; for example, discussing how the Japanese visual method for multiplication is not effective for multiplying larger numbers
General capabilities
• Numeracy Numeracy
• Critical and creative thinking Critical and Creative Thinking
ScOT terms

Associativity,  Commutativity,  Distributivity,  Written calculations,  Multiplication

## Refine by topic

Related topic

### Mixed Up Maths, Ep 6: Maths saves lives

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?

### Mixed Up Maths, Ep 1: Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

### 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.

### 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 ...

### 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 ...

### Sites2See – number for primary

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

### MoneySmart: Hey! Let's have a big day out!

This is a year 5 mathematics unit of work about costing and budgeting for various types of family outings. The unit is intended to take about 7.5 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, five sets of student activities, and teacher notes ...

### Making maths quizzes 1: Plan and test our programs

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

### 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 ...

### Introduction to binary

This sequence of lessons focuses on what a binary number is, what a decimal number is, why binary numbers are important in digital systems and how to read and understand a binary number.

### Making maths quizzes 2: Implementing a digital solution

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

### Fun with fractals

Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?

### Fraction basics - Easy & Effective Fractions Tutor - iTunes app

Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

### 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.

### 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 ...

### 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 ...

### 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.

### Literacy and numeracy improvement: a whole-school approach

This teacher resource describes how 74 public schools in metropolitan, regional and rural Western Australia used three major components of the school improvement cycle to achieve significant improvement in the literacy and numeracy learning outcomes of their students. The resource is organised in nine sections: Summary, ...