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Listed under:  Mathematics  >  Number (Mathematics)  >  Real numbers  >  Integers
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All operations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of All operations. Students use all four operations to solve problems with integers and rational numbers. They can use a range of written strategies and mental computation to demonstrate their understanding.

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Work sample Year 6 Mathematics: Interpreting and comparing data

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Ups and downs

Students position positive and negative whole numbers on a number line.

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Addition and subtraction: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Addition and subtraction. Students compare, order and solve problems involving addition and subtraction of integers.

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Number sequence: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Number sequence. Students use horizontal and vertical number lines to find solutions to everyday problems involving locating and ordering integers around zero; for example, elevators above and below sea level. They explore integers in financial contexts, such as the ...

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Position and location: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Position and location. Students locate and describe the position of objects using coordinates on the Cartesian plane in all four quadrants.

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Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

Video

MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

Video

MathXplosion, Ep 11: Fun facts about the number seven

Did you know that the digits on opposite faces of dice will always add up to seven? Use dice as fun tools to reinforce fact families of seven, multiples of seven and subtraction skills.

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What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

Video

MathXplosion, Ep 30: How many combinations can you get?

How many combinations can you get from 6 shirts and 4 pairs of pants? Determine the number of different outfits using the concept of possibilities (possible outcomes) and combinations.

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MathXplosion, Ep 17: Develop mathematical mind-reading skills

Amaze your friends with your super mind-reading skills. Here’s a brain game you can play by asking a few questions and substituting letters for numbers! Learn to follow a specific sequence of arithmetical steps to always arrive at the same answer.

Online

Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

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reSolve: Directed number

This sequence of two lessons explores directed numbers in real world situations and games, abstracting understanding to applications using the number line. In the first lesson, students develop their understanding of directed numbers by engaging in a game involving hotel elevator floors, in the second lesson students represent ...

Interactive

Arithmetic four

This is an interactive game for two students in which they solve arithmetic problems, similar to 'Connect four'. The players can choose to work with whole number and integer addition, subtraction, multiplication and division. The length of time each player will have and the level of difficulty of the problems can also be ...

Online

TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

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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 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 32: Number and Algebra: fractions and the index laws in algebra - teacher guide

This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

Online

TIMES Module 15: Number and Algebra: the integers - teacher guide

This is a 24-page guide for teachers. The module introduces the integers, order of the integers and operations on the integers.