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Listed under:  Distributivity

### The multiplier: make your own hard multiplications

Solve multiplications such as 84x93. Use a partitioning tool to help solve your own multiplications. Learn strategies to do complex arithmetic in your head. Split a sum into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in a series of five objects.

### The multiplier: generate easy multiplications

Solve multiplications such as 9x88. Use a partitioning tool to help solve randomly generated multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in ...

### The multiplier: generate hard multiplications

Solve multiplications such as 67x88. Use a partitioning tool to help solve randomly generated multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in ...

### 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 ...

### 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 ...

### The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

### The divider: without remainders

Solve whole number division problems such as 156/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

### The divider: whole number remainders

Solve whole number division problems such as 157/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

### The divider: solve your own problem

Create and solve division problems such as 156/6. Use a partitioning tool to help solve division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

### The multiplier: make your own easy multiplications

Solve multiplications such as 76x9. Use a partitioning tool to help solve your own multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in a series of ...

### Exploring order of operations

Work through mathematical operations in an algorithm. Perform calculations with integers where the order of operations is important. Start with two-step operations such as 6+10x2. Move on to numerical expressions involving several operations and notation such as parentheses and indices. Solve numerical expressions quickly ...

### 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.

### TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.

### TIMES Module 19: Number and Algebra: whole number arithmetic - teacher guide

This is a 17-page guide for teachers, a module that introduces addition of whole numbers.

### Starting Smart: is it the same?

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' understanding of algebraic expressions and equations. Students explore equivalences in arithmetic and algebraic expressions, evaluate algebraic expressions, and construct and learn to solve equations ...

### Order of operations

This is a set of interactive questions relating to the laws of arithmetic, their usefulness in calculations, and their importance and relevance in order of operations calculations. The questions challenge and extend students' thinking about generalisations of the laws and make a link between arithmetic and algebra. The ...

### Solving equations with the distributive property

This is a video demonstration of solving a linear equation by algebraic means. In the commentary, the presenter carefully explains the step-by-step method used to solve this example, which includes use of the distributive law and collecting like terms to simplify the equation. Having found the solution, the presenter verifies ...

### Algebra four

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

### Mental computation

This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

### Algebraic expressions

This is a website designed for both teachers and students that addresses algebraic expressions from the Australian Curriculum for year 8 students. It contains material on using simple positive and negative fractions, substitution, collecting like terms, taking products, and expanding brackets using the distributive law ...