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

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

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Year level 3-4
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Learning area Mathematics

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### Sites2See – number for primary

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

### 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 ...

### 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.

### Maths Years 3 - 6 with Miss White: Calculating change using vertical subtraction

In this lesson, Miss White teaches you how to complete formal subtraction problems that involve regrouping. She will teach you how to regroup multiple times, and she will teach you how to calculate your change when you go shopping.

### 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 ...

### 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 ...

### 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...

### 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 ...

### 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 ...

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.

### 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 ...

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.

### Mental computation: basic facts - addition and subtraction

This is a teacher resource that is part of a wider series; it develops a structured strategies-based approach to mental computation of the 242 basic mathematics facts at primary level. The resource provides 13 stimulating classroom activities that encourage students to use a wide variety of mental-computation strategies. ...

### 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 ...

### 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.

### 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 ...

### 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.

### 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.

### Mental computation: two-digit whole numbers

This is a teacher resource that is part of a wider series; it provides a structured strategies-based approach to mental computation of two-digit whole number sums at primary level. It provides 14 classroom activities that enable students to apply appropriate mental-computation strategies to more challenging sums. The support ...

### Mental computation: introduction

This is a teacher resource that is part of a wider series; it introduces a structured strategies-based approach to mental computation for primary level and provides four generic classroom activities that can be used to empower students to use, share and test strategies. The support material describes the content of the ...