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Listed under:  Mathematics  >  Number (Mathematics)  >  Real numbers  >  Integers
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Algebra Tiles: Learning Sequence - Calculate

The following is a suggested teaching and learning sequence for using Algebra Tiles.

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7N01A Integers - Ochre Education

This unit of work focuses on integers. Students define, represent integers on number lines and Cartesian planes using a variety of scales on the axes, compare and order, add and subtract integers; evaluate expressions involving combinations of addition and subtraction of integers, including the use of brackets and consideration ...

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8N01A Integers - Ochre Education

This unit of work focuses on integers. Students add and subtract integers; establish multiplication and division of integers and build to raising to positive integer powers, square roots and cube roots; evaluate expressions involving combinations of operations and the use of brackets, fraction bars, and vinculums and consideration ...

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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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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.

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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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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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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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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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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.

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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.

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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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Data Representation

Find out about Data Representation. Use this topic from the Digital Technologies Hub to learn more, get ideas about how to teach about it, find out what other schools are doing and use the applications and games in the classroom.

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Computers and binary

This is a unit for Year 8 from the Scope and sequence resources from the DT Hub. The topic of data representation is organised into four key elements. Use this flow of activities to plan and assess students against the relevant achievement standards. Students examine the ways all computer data including text, images and ...

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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 ...

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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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How computers compute

Watch as Jamie Teherani from MIT, demonstrates how a big, mechanical computer made from wood works. What does it have in common with the high-tech computers of today?

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Laptop wrap – colour by numbers

A page with a focus on binary and hexadecimal numbers and their relationship to colour displays. Contains supporting activities and links to resources.

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ACARA sample assessment task: years 7-8

This resource provides strategies for assessing students' understanding of the ways in which data can be sourced, organised and represented to maximise options for analysis, evaluation, decomposition and visualisation in order to create digital solutions. The context of the resource is the liveability of the places in which ...