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Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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Fractions Year 6 - Calculate

This activity challenges students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task asks students to stop and think and then make corrections to ensure the rule works in all cases (generalise).

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Use variables: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

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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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Algebra basics video

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Formulate and manipulate expressions: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Formulate and manipulate expressions. Students move beyond expanding and factorising linear expressions, such as 3(2x – 1) or 4x + 6, to working with monic quadratic expressions (that is, where the coefficient of the square term is 1). This involves expanding expressions ...

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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 ...

Interactive

Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

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Numbers Count: What are factors?

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

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BTN: What is the GST?

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Mixed Up Maths, Ep 12: Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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Catalyst: Take the Phi Golden challenge

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

Interactive

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

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

Fish market: explore trading

Buy and sell fish in trading markets in a range of Australian and New Zealand cities. Compare market prices, supply and demand. Explore a range of traders to find the best deals and open up new markets. Find a rare fish. Maximise your profit and reputation as a smart trader. This learning object is the first in a series ...

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Literacy and numeracy improvement: a whole-school approach

This teacher resource describes how 74 public schools in metropolitan, regional and rural Western Australia used three major components of the school improvement cycle to achieve significant improvement in the literacy and numeracy learning outcomes of their students. The resource is organised in nine sections: Summary, ...

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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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BTN: Yes, fashion designers need maths skills!

Are you interested in becoming a fashion designer? Or an architect? Or a pilot? Did you know that you need maths skills to succeed in all of these careers? Watch this video to learn how fashion designer Cristina uses maths in her work. How does architect Thomas use it? And why is maths important to pilot Paul? Can you think ...

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Imperial pie

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

Online

Simple interest

This is a website designed for both teachers and students that addresses simple interest from the Australian Curriculum for year 9 students. It contains material on calculating simple interest. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress ...