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reSolve: Authentic Problems: Bunches of Balloons

This sequence of three lessons introduces division and multiplication through the context of decorating a room with clusters of balloons. Students carry out an inquiry using a variety of processes associated with multiplication and division such as grouping concrete objects, arrays, repeated addition and skip counting. ...

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reSolve: Multiplication - reSolve Fruit Shop

This sequence of two lessons explores the use of arrays to determine how many objects are in a collection. Students use strategies such as skip counting, repeated addition and partitioning the array into smaller parts. They investigate how some numbers can be represented as an array in different ways. They also explore ...

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reSolve: Multiplication: Making Robots

This sequence of lessons introduces the key idea of multiplication as a Cartesian product, using the language of 'for each'. Students explore the total number of different robots that can be made using three heads, three bodies and three feet. The students represent the different combinations for the robots as array. The ...

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TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

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TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

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TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...

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reSolve: Multiplication - reSolve Bakery

This series of three lessons explores strategies for multi-digit multiplication. Students are presented with a range of problems in the context of a bakery producing arrays of cupcakes. The lessons aim to develop a range of strategies based on the associative and distributive properties of multiplication, moving students ...

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.

Interactive

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Interactive

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

Interactive

The number partner: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for breaking up numbers into pairs of smaller numbers, eg 15 = 11 + 4. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions.

Interactive

Finding the area of compound shapes

Find the area of compound shapes based on rectangles on a grid. Explore how the formula works for finding a rectangle's area. First, estimate the area of a compound shape based on rectangles on a grid. Second, work out the correct formula for finding area by placing rows and columns of squares inside two rectangles. Then, ...

Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Interactive

The multiplier: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

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

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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Multiplying two-digit numbers using the area model - Calculate

This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.

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Years 9–10: Data science skills

This unit introduces data science as a process, focusing on specific skills used in data science. These include the acquisition of data from surveys, sensors or online repositories; storage and analysis of that data; and its visualisation, including with interactivity. When acquiring and analysing data, students can apply ...

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reSolve: Multiplication: Trays of Arrays

This sequence of 7 tasks uses the array to explore the distributive and associative properties of multiplication. Students use different strategies to calculate the number of items in arrays, and use mathematical reasoning to explain which strategies are the most useful. Students learn to use the distributive property to ...

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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.