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

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

Recognise and explain the connection between addition and subtraction (ACMNA054)

Elaborations
  • demonstrating the connection between addition and subtraction using partitioning or by writing equivalent number sentences
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Subtraction,  Addition

Interactive Resource

Sites2See – number for primary

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

Teacher resource

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 ...

Moving Image

How many are left?

Flynn and Dodly are practising their magic tricks. They are trying to make eggs, muffins and even guinea pigs disappear. Help our two friendly monsters work out how many should be left after their disappearing tricks.

Tablet friendly (Interactive resource)

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 ...

Tablet friendly (Interactive resource)

Musical number patterns: odds and evens

Make some music by building up rhythms for chimes. Complete a counting rule that matches a pattern on a number line. Select the start number or select a number to count by. For example, start at 1 on a number line; then choose which number to count by (4, 5 or 6) to alternate between odd and even numbers. Add a second number ...

Interactive resource

Exploring number patterns

Find an addition or subtraction pattern relating to four numbers on a grid. Predict the next three numbers in the pattern. For example, predict the next three numbers in the following sequence: 60, 53, 46, 39...

Collection

Mental calculation strategies - addition and subtraction

This collection of 21 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing additions and subtractions of two-, three- and four-digit whole numbers. It is organised in three categories: developing strategies - addition; developing strategies ...

Interactive resource

The part-adder: make your own hard sums

Solve addition sums such as 43+29. Use a linear partitioning tool to help solve your own addition sums. Learn strategies to do complex addition sums in your head. Split a sum into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series of five objects.

Interactive resource

The take-away bar: generate hard subtractions

Solve subtractions such as 87-29. Use a linear partitioning tool to help solve randomly generated subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series ...

Interactive resource

The part-adder: make your own easy sums

Solve addition sums such as 58+9. Use a linear partitioning tool to help solve your own addition sums. Learn strategies to do complex sums in your head. Split a sum into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series of five objects.

Interactive resource

The part-adder: generate easy sums

Solve addition sums such as 28+9. Use a linear partitioning tool to help solve randomly generated addition sums. Learn strategies to do complex sums in your head. Split a sum into parts that are easy to work with, work out each part, then solve the original calculation. This learning object is one in a series of five objects.

Interactive resource

The take-away bar: generate easy subtractions

Solve subtractions such as 28-9. Use a linear partitioning tool to help solve randomly generated subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series ...

Interactive resource

The take-away bar: make your own hard subtractions

Solve subtractions such as 93-47. Use a linear partitioning tool to help solve your own subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series of five ...

Interactive resource

The take-away bar: make your own easy subtractions

Solve subtractions such as 58-9. Use a linear partitioning tool to help solve your own subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series of five objects.

Assessment resource

Thinking addition: 2-digit plus 1-digit: assessment

Test your ability to turn a word problem into a 2-digit plus 1-digit equation. Solve the equation without a calculator. For example, use a partitioning tool to help solve the sum 15+8. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the first in a series ...

Interactive resource

The number partner: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for breaking up numbers into pairs of smaller numbers, eg 15 = 11 + 4. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions.

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Interactive Resource

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 ...

Interactive Resource

MoneySmart: Pay the price

This learning object helps students to recognise Australian currency through a supermarket shopping scenario which requires simple transactions. Students match item value with the correct coin and note combinations. The learning object has three different levels working through matching item value to: two single coins, ...

Moving Image

Funny money

What do you use money to buy? In this clip we look at Australian money. See the different coins and notes that make up our money system. We investigate if size, (in coins) does matter. Check out how many 5 cent pieces you need to make two dollars. We also look at some currencies used around the world. Find out which country ...