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Listed under:  Mathematics  >  Algebra  >  Equations
Video

Algebraic equations: video and teaching guide

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

Online

Sphero slalom lesson

In this lesson students explore slalom sports and how competitors maximise speed when completing a course. Students research different slalom sports and then share their findings with the class. Students investigate the impact of distance and friction on time to complete a course through digital and unplugged activities. ...

Online

Patterns and number facts: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Patterns and number facts. Students bring together knowledge and skills of algebraic and graphical representations of linear functions and quadratic functions. They make these connections by systematically varying the parameters in the rules y = ax + b and y = a(x + ...

Online

Find unknown values: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Find unknown values. Students explore mathematical equations involving multiplication and division.

Online

Find unknown values: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Find unknown values. Students find unknown quantities in numerical equations involving a combination of operations.

Online

Area and perimeter: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Area and perimeter. Students refine their understanding of area and perimeter and establish the formula for the area of a rectangle and use it to solve practical problems.

Downloadable

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.

Online

Patterns and number facts: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Patterns and number facts. Students work with a variety of functions and relations and their rules, tables of values and graphs using digital tools. Students manipulate, explore, investigate, make conjectures and identify emerging patterns from functions and relations. ...

Online

Formulate and manipulate expressions: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...

Online

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.

Online

Mathematical modelling (Algebra): Year 10 – planning tool

This planning resource for Year 10 is for the topic of Mathematical modelling. Students apply linear, quadratic and exponential functions to modelling contexts and outline reasons for selecting a particular model. They use tables of values to look for patterns in data, recognising that linear functions have constant first ...

Online

TIMES Module 35: Number and Algebra: proportion - teacher guide

This is a 22-page guide for teachers. The module introduces the idea of direct proportion and illustrates its many uses in science, commerce and measurement. It looks at ratios, gradients and fractions. A history of the development and use of proportion concludes the module.

Online

reSolve: Pythagoras' Theorem - Phone finding

This lesson challenges students to apply Pythagoras' Theorem to explore a practical real-world problem. Students explore technology reliant on mathematical concepts. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as ...

Video

Are plants mathematicians?

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

Online

TIMES Module 21: Number and Algebra: rates and ratios - teacher guide

This is a 17-page guide for teachers. This module introduces the idea of ratios and rates. Ratios are used to compare two quantities. The emphasis is usually on comparing parts of the whole. Rates are a measure of how one quantity changes for every unit of another quantity. It relates the ideas of ratios, gradient and fractions.

Online

TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

Online

Whole numbers with all four operations

This is a website designed for both teachers and students that addresses whole numbers with the four operations from the Australian Curriculum for year 6 students. It contains material on the strategies and algorithms used when adding, subtracting, multiplying and dividing whole numbers. There are pages for both teachers ...

Online

The laws of arithmetic and their use in algebra

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

Interactive

Laptop wrap: Expanding on algebra

Students make a presentation on the index laws, investigate the visual representation of the binomial expansions and design an acronym to help recall the special products. 

Interactive

Syllabus Bites: Proportionality problems

This is the fourth in a series of Syllabus Bites related to direct and indirect proportion. Students use graphs, equations and numerical methods to solve problems involving direct proportion.