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

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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.

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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.

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AERO Ochre Maths Year 3 Unit 2 - Exploring calculation strategies

This sequence of 15 lessons will teach students various calculation strategies.

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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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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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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.

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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).

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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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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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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?

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What is a quarter?

What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.

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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.

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Musical fractions

Break down a song by counting how long the notes are in action! Learn about patterns in rhythms and musical notes, and discover the role of fractions in denoting whole, half and quarter notes and creating distinct sounds.

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Mixed Up Maths, Ep 11: 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 ...

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Flying high

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

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Addition Strategies - Calculate

Regular practise of addition facts can help children build their confidence in maths.

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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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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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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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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.