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

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

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055)

Elaborations
  • recognising that certain single-digit number combinations always result in the same answer for addition and subtraction, and using this knowledge for addition and subtraction of larger numbers
  • combining knowledge of addition and subtraction facts and partitioning to aid computation (for example 57 + 19 = 57 + 20 – 1)
General capabilities
  • Numeracy Numeracy
ScOT terms

Mental arithmetic,  Subtraction,  Addition,  Associativity

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

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.

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The difference bar: generate easy subtractions

Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of two-digit numbers such as 25 and 34. In these examples, the difference is always less than ten. Split the numbers into parts that are easy to work with, work out each part and then solve the original calculation.

Online

reSolve: Addition: Chess - The Rook

This lesson engages students in investigating place value and the addition and subtraction of numbers by exploring computation on the number chart. Students analyse the moves of a rook chess piece and how the value of the numbers change as he moves. This builds into an exploration of how the number chart can be used as ...

Online

reSolve: Algebra: Number Sequences

This sequence of lessons aims to build students' algebraic thinking through explorations of additive number patterns. Students are challenged to solve problems to generate patterns, explore strategies for addition and subtraction and apply their skills to constructing their own new patterns.The lessons are outlined in detail ...

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 ...

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

Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

Interactive

MoneySmart: Money match

This learning object helps students to recognise Australian currency through matching notes and coins. Students match different combinations of notes and coins to arrive at the same value in multiple ways. The learning object has four different levels working through matching: same coins, coins of different values, coins ...

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Summing Decimals

An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

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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.

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Wishball challenge: hundreds

Challenge your understanding of place value in whole numbers up to 999. Receive a starting number, such as 328, and work towards turning it into a target number, such as 177, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

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

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

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

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

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

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.