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

Curriculum content descriptions

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057)

Elaborations
  • writing simple word problems in numerical form and vice versa
  • using a calculator to check the solution and reasonableness of the answer
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Multiplication,  Mental arithmetic,  Calculators,  Written calculations

Text

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 ...

Text

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 ...

Interactive

The array

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.

Text

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 ...

Text

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.

Text

Inquiry Prompt Ribbon Bow - Calculate

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

Interactive

Greatest Of All Thieves (Estimating and subitising)

Gasp! The goat burglars robbed the piggy bank and stole all the pig's money! As a team, use subitising to estimate how big the heist is and recover the fortune from those greedy goats. Then, use number sentences to explain your thinking. Mathematical ideas and strategies this game supports: - Estimate the total of a collection ...

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 ...

Interactive

Moon Goats (Geometric reasoning) - ABC Education

As a team, use your understanding of geometric reasoning to transform two-dimensional floor plans into three-dimensional pod houses. See how many unique houses you can build for the Moon Goats. Then, try the Budget Challenge to calculate the cost of different types of houses. Mathematical ideas and strategies this game ...

Text

Cuisenaire Rods Lesson Plan - Calculate

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

Text

The Array Game - Calculate

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

Text

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 ...

Text

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 ...

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 ...

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 ...

Text

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).

Text

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.

Video

Additive strategies: Video and teaching guide

This video explores the use of computation strategies, rounding and estimation in real-world, additive situations. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. A range of strategies such as compensation and partitioning are demonstrated. Estimation and rounding are highlighted ...