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

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 ...

Downloadable

Flying high

Students partition four-digit numbers into place-value parts.

Downloadable

First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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.

Online

Patterns and number facts: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Patterns and number facts. Students extend and apply knowledge of number facts to 20 for addition and subtraction and extend to larger numbers. They demonstrate proficiency with multiplication facts for 3, 4, 5, and 10 and further develop their knowledge of related division ...

Interactive

Piñata Party Tens (2-digit place value)

As a team, use your knowledge of tens and ones place values to help the goats release the treats from the piñata and have the GOAT party! Mathematical ideas and strategies this game supports: - Increasing and decreasing the value of 2-digit numbers. - Identifying the value of a digit based on its position in a numeral. - ...

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 ...

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 ...

Interactive

Squirt: two containers

Examine the relationships between capacities of various containers. Look at two containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Express relationships using mathematical notation such as a=6xb.

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

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

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 ...

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 ...

Online

MoneySmart: The house of needs and wants

This is a unit of work integrating aspects of the mathematics, English and science curriculums around planning a school breakfast. The unit was written for year 3 and is intended to take about 12 hours. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities ...

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.

Video

MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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

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

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?