Mathematics / Year 3 / Number and Algebra / Number and place value

Curriculum content descriptions

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057)

Elaborations
  • writing simple word problems in numerical form and vice versa
  • using a calculator to check the solution and reasonableness of the answer
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,  Calculators,  Written calculations

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

MoneySmart: Sal's secret

This is a year 3 mathematics unit of work about saving and budgeting for a class party. The unit is intended to take about 10.5 hours of teaching and learning time spread over some months. It consists of nine student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include ...

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: Measurement - Jump!

In this sequence of two lessons, students investigate how far they can jump and explore the jumping distance of a range of animals. Students first estimate the distance they can jump, then undertake an investigation by jumping using a range of techniques. Class data is recorded and displayed and students compare their jumping ...

Online

reSolve: Multiplication - Domino Arrays

This sequence of two lessons explores multiplicative thinking through the use of arrays where all the parts of the array are not visible. The sequence encourages students to find the total number of items in an array by multiplication rather than counting by ones or skip counting. Connections between area, arrays and multiplication ...

Interactive

Greatest Of All Thieves (Estimating and subitising)

Gasp! The goat burglars robbed the piggy bank and stole all the pig's money! As a team, use subitising to estimate how big the heist is and recover the fortune from those greedy goats. Then, use number sentences to explain your thinking. Mathematical ideas and strategies this game supports: - Estimate the total of a collection ...

Online

Multiplication and division: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Multiplication and division. Students further develop multiplication and division concepts. They multiply and divide one- and two-digit numbers. Students represent problems using number sentences, diagrams and arrays, and use a variety of calculation strategies.

Text

Work sample Year 3 Mathematics: Ways to make 18

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 3 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 ...

Online

Paying It Forward Years 3-4

This resource is a cross-curricular unit about how identity and welfare is affected by the groups and places that students belong to and the services that local government provides. They learn that fair isn’t always equal, the importance of integrity and the role of laws and responsibility in protecting their rights and ...

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

Musical number patterns: musical times

Make some music by building up rhythms from four instruments. Make a counting rule that matches a pattern on a number line. Select the start number and then select a number to count by. For example, describe a sound pattern where a saxophone waits on the first note, and then plays on every eighth note. Add a second number ...

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 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

The take-away bar: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving subtractions in your head such as 87-39. Work through sample questions and instructions explaining how to use linear partitioning techniques. Solve subtractions by breaking them up into parts that are easy to work with, work out each ...

Interactive

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

Interactive

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

Interactive

MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

Online

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, ...

Interactive

Sites2See: Patterns and Algebra

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

Online

TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...