Mathematics / Year 3 / Number

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Curriculum content descriptions

multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies (AC9M3N04)

Elaborations
  • applying knowledge of numbers and the properties of operations using a variety of ways to represent multiplication or division number sentences; for example, using a Think Board to show different ways of visualising \(8 \times 4\), such as an array, a diagram and as a worded problem
  • using part-part-whole and comparative models to visually represent multiplicative relationships and choosing whether to use multiplication or division to solve problems
  • matching or creating a problem scenario or story that can be represented by a given number sentence involving multiplication and division; for example, using given number sentences to create worded problems for others to solve
  • formulating connected multiplication and division expressions by representing situations from First Nations Australians’ cultural stories and dances about how they care for Country/Place such as turtle egg gathering using number sentences
General capabilities
  • Numeracy Numeracy
ScOT terms

Mathematical expressions,  Division,  Multiplication,  Visualisation tools,  Grouping (Counting)

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Multiplication: reSolve Market

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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 ...

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Goat Busters (Area model for multiplication) - ABC Education

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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 ...

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

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

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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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The Array Game - Calculate

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

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reSolve: Measurement - Jump!

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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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reSolve: Multiplication - Domino Arrays

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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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Use an array-building tool to help solve multiplications. Explore strategies to break up multiplications. Create and solve easy multiplications such as 9x3. Examine relationships between rows, columns and areas in arrays.

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reSolve: Addition: Chess - The Rook

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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

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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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Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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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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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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This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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

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

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

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