Mathematics / Year 3 / Algebra

Curriculum content descriptions

recall and demonstrate proficiency with multiplication facts for \(3, 4, 5\) and \(10\); extend and apply facts to develop the related division facts (AC9M3A03)

Elaborations
  • using concrete or virtual manipulatives, groups and repeated addition to recognise patterns and establish the \(3, 4, 5\) and \(10\) multiplication facts; ; using the language of “\(3\) groups of \(2\) equals \(6\)” to develop into “\(3\) twos are \(6\)” and extend to establish the \(3 \times 10\) multiplication facts and related division facts
  • recognising that when they multiply a number by \(5\), the resulting number will either end in a \(5\) or a zero; using a calculator or spreadsheet to generate a list of the multiples of \(5\) to develop the multiplication and related division facts for fives
  • practising calculating and deriving multiplication facts for \(3, 4, 5\) and \(10\), explaining and recalling the patterns in them and using them to derive related division facts
  • systematically exploring algorithms used for repeated addition, comparing and describing what is happening, and using them to establish the multiplication facts for \(3, 4, 5\) and \(10\); for example, following the sequence of steps, the decisions being made and the resulting solution, recognising and generalising any emerging patterns
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Mental arithmetic,  Commutativity,  Generalisation,  Division,  Multiplication tables

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reSolve: Multiplication: Building bots

In this sequence of four lessons, students build their understanding of multiplication by exploring the concept of "for each" through Cartesian product. They work out how many different robots can be built using three robot heads, three bodies and three types of legs. Key learning goals, assessment advice, pedagogical tools ...

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Multiplication: reSolve Market

This sequence of 8 tasks builds the mathematical ideas idea of multiplication as ‘how many groups’ and ‘how much in each group’. Students learn that ‘how many groups’ and ‘how much in each group’ is represented in the array, where rows and columns represent factors that can be multiplied to find the product. Through the ...

Interactive

Goat Busters (Area model for multiplication) - ABC Education

As a team use the area model and mathematical thinking to find the answer to tricky calculations. Mathematical ideas and strategies this game supports: area model for multiplication; 1 x 2-digit multiplication; 2 x 2-digit multiplication; identifying factors; partial products; distributive property; place value partitioning ...

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.

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Multiplication Facts - Calculate

This resources describes some games and activities that can be used to help students learn the multiplication facts (or times tables) up to 10 × 10.

Interactive

Disco Goats (Array models for multiplication and division) - ABC Education

As a team, use your knowledge of arrays and multiplication and division facts to get the bunnies into formation. Mathematical ideas and strategies this game supports: using arrays to find the factors of whole numbers between 10 and 100; identifying the factors of composite numbers and prime numbers; using multiplication ...

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Cuisenaire Rods Lesson Plan - Calculate

This lessons explores the use of Cuisenaire rods and uses play to introduce them to students.

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The Array Game - Calculate

The purpose of this game is for students to construct arrays and to describe them in words and numbers.

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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 ...

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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 ...

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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 ...

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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 ...

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BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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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 ...

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 ...

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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.

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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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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

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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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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.