Mathematics / Year 4 / Number and Algebra / Number and place value

Curriculum content descriptions

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076)

Elaborations
  • using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Mental arithmetic,  Written calculations

Video

MathXplosion, Ep 2: 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.

Online

reSolve: Multiplication - The Tiler

This task explores arrays through the context of a tiling a courtyard. Students are given the total cost of tiling a courtyard and use this to calculate the price for individual tiles. They then explore the cost of different tiling designs to determine if one is cheaper than another. Each lesson is outlined in detail including ...

Online

reSolve: Authentic Problems: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

Interactive

Sushi monster - iTunes app

The Sushi monster needs to be fed the correct sum or product. Choose to play the addition or multipliaction game. In the addition game select the two numbers that make the target sum. In the multipication game select two numbers to make the target product. This game has several levels. Free when reviewed on 12/5/2015.

Interactive

Sites2See – number for primary

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

Online

reSolve: Multiplication - Cartesian Product

This sequence of two lessons introduces the idea of multiplication as a Cartesian product, using the language of 'for each'. Students learn to use a tree diagram to find the number of possible combinations that can be made in an animal mix and match book. They learn how a simpler problem can be used to help solve a larger, ...

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

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 ...

Online

Efficient strategies: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Efficient strategies. Students develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder. They choose and use estimation and rounding to check and ...

Downloadable

Act it out

Students revise and extend the recall of 10x. They describe and continue patterns created from multiplication, and solve multiplication and division problems.

Video

AERO Ochre Maths Year 4 Unit 1 - Using five-digit numbers

This sequence of 10 lessons will teach students about five-digit numbers and their properties.

Video

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

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 ...

Downloadable

Let's party!

In this lesson students learn about needs and wants whilst budgeting for a birthday party. Students gather and compare data about how their classmates celebrate birthdays. They are then introduced to budgeting in the context of planning a party. They are asked to consider how needs and wants impact their spending choices ...

Video

Additive strategies: Video and teaching guide

This video explores the use of computation strategies, rounding and estimation in real-world, additive situations. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. A range of strategies such as compensation and partitioning are demonstrated. Estimation and rounding are highlighted ...

Downloadable

AERO Ochre Maths Year 4 Unit 2 - Addition and subtraction

This sequence of 15 lessons teaches students about various addition and subtractions methods and where to appropriately apply them.

Text

Work sample Year 4 Mathematics: Number: addition and subtraction

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 4 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 ...

Text

Work sample Year 4 Mathematics: Odd and even

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 4 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 ...

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.

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

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.