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

Subtraction,  Addition

Video

Count Us In, Ep 8: 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.

Interactive

Gobbling Goblins

Welcome to 'The Toadstool Bistro', the hottest diner in Goblin Town. Maître d' Grundle is in a panic! The Gobbling Goblins, three fierce food critics, have arrived at The Toadstool Bistro and they're determined to put your kitchen to the test! Your goal is to keep the food coming for these ghastly gourmets. Use your maths ...

Interactive

Goat Crashers (Mental calculations with unconditional probability) - ABC Education

Using your knowledge of different operations, join the Pig Posse to help kick them out before they eat everything. Or join the goats and move on in! Mathematical ideas and strategies this game supports: addition and subtraction with 1–30; multiples of 2, 3, 4, 5, 6, 8 and 10; dividing by 3, 4, 5, 6, 8 and 10.

Text

Space Race Game (Introducing Algorithmic Thinking) - Calculate

Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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Addition Year 3 - Calculate

This activity is designed to see if students are able to apply their addition strategies in order to find the total of their collection of cards. Often students will have a method for adding two numbers, but when asked to add a list of numbers they revert to less efficient methods.

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Subtraction Strategies - Calculate

This game gives students opportunities to practice subtraction skills and to learn subtraction strategies, including the jump strategy, the split (or partition) strategy, compensation and the count-up to strategy (sometimes called the Shopkeeper’s method).

Downloadable

Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

Interactive

Goat to bed (Partitioning twenty) - ABC Education

Some naughty little goats should be in bed, but they are still up and playing games! You will need to choose teams, then use your strategies (such as combinations for 20) to decide who wins: baby goats or babysitter! Mathematical ideas and strategies this game supports: numbers can be partitioned in many ways; there are ...

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Salute - Calculate

This game gives students opportunities to practise addition and subtraction strategies and develop algebraic thinking by finding unknown values in additive equations.

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Park Ranger Problem Solving: An ‘Addition & Subtraction’ Rich Task for Years 3–4 - Calculate

The aim of this task is to provide a rich, contextual activity through which students can begin to explore the addition and subtraction of one- and two-digit of numbers in everyday contexts.

Video

Fractions in the real world

How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

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 ...

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Addition and Subtraction - Calculate

This game focuses on addition, subtraction and estimation. It can be played many times as the totals will often be different and the focus of the mathematics can change. There is a video included to help with how to play the game.

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Race to... - Calculate

This game challenges students to use their knowledge of place value to add and subtract random numbers in order to meet a target value.

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Decimals Year 3 & 4 - Calculate

The focus of this activity is to find out what students know about addition of decimals and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Subtraction Year 3 & 4 - Calculate

This activity is designed to encourage students to develop and explain different strategies to solve subtraction problems.

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ROWCO - Calculate

ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

Interactive

Goat Grommets (Mental computation and dependent probability) - ABC Education

As a team, you'll need to use your understanding of probability to decide which waves your surfer should catch — or when to play it safe and head in. Use mental addition to calculate your score. Enjoy the surf but watch out for the shark pig! Mathematical ideas and strategies this game supports: the probability of an occurrence ...

Interactive

Goat Squad (Partitioning numbers and dependent probability) - ABC Education

The Rocksteady Reds cheer squad is competing against the Blue Boing Boings to be the first to build a triangle and win the cheerleading competition. Will you use your strategies for addition and partitioning numbers to help your team win? Mathematical ideas and strategies this game supports: addition and partitioning numbers; ...