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Listed under:  Mathematics  >  Algebra  >  Mathematical expressions
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From patterns to equations in three simple steps

Can you write a rule to match a number pattern? See how to use a table to record a number pattern, identify the rule and write an algebraic equation to match.

Teacher resource

TIMES Module 33: Number and Algebra: factorisation - teacher guide

This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.

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BBC Bitesize: formulas - revision

This is a set of information sheets dealing with ideas associated with pronumerals, algebraic expressions and formulas. Practice questions are provided and students have access to a short multiple-choice test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

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The language of algebra

Have you seen mathematical expressions that use numbers and letters? They're called algebraic expressions. See what all this means. Watch how you can substitute a value for 'x' in an algebraic expression. It's easy when you know how!

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Try a cherry slice equation

Need a challenge to write an algebraic formula? This example involves trays of cherry slice! See if you can work out the relationship between the number of slices and the number of trays. Find out what the equation looks like after two pieces of slice from one tray have been eaten.

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Algebra basics: now you're cooking!

See how to write a number pattern as a rule. How would you write the number pattern of counting by two as a rule? Watch this short clip to find out how, along with some algebra basics.

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The key to finding 'y' is 'x'

Try these two exercises, which require you to substitute values of x into an algebraic equation. Complete the table of values for y for both equations.

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Are you pro numerals?

Do you know the conventions of writing algebraic expressions? See how to write an equation for an expression that has an input (x) and an output (y). In the examples that follow, test yourself as you go.

Teacher resource

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.

Teacher resource

TIMES Module 39: Number and Algebra: polynomials - teacher guide

This is a 27-page guide for teachers. This module introduces addition, subtraction, multiplication and division of polynomials. Factorisation of polynomials and the solution of polynomial equations are also discussed.

Interactive Resource

Matching a formula to a given context

This is a five-page HTML resource about solving problems concerning matching formula in a given context. It contains five questions, two of which are interactive, and one video. The resource discusses and explains determining a formula to reinforce students' understanding.

Teacher resource

Algebra review

This teacher resource is particularly relevant for the topic Functions and graphs of the Australian Curriculum subject Mathematical Methods and will also serve as a review of Australian Curriculum F-10 algebra for existing year 11 subjects that contain material on functions, algebra and calculus. A brief history of algebraic ...

Interactive Resource

Expressions

An animated tutorial with a focus on collecting 'like' terms to simplify expressions. An interactive quiz is included.

Teacher resource

Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

Interactive resource

Circus towers: triangular towers

Work out how many acrobats are needed to form triangle-shaped human towers. Start by building a triangle with three acrobats: two acrobats in the base layer and one acrobat 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 resource

Circus towers: square pyramids

Work out how many acrobats are needed to form pyramid-shaped human towers. Start by building a square pyramid with five acrobats: four acrobats in the base layer and one acrobat 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 ...

Interactive resource

Exploring algebra

Calculate a disc jockey's profit or loss when he sells records. Use algebraic notation to represent variables. For example, T = 56 + 3n (where T is total expenses and n is the number of records produced). Calculate revenue and expenses, then work out the profit or loss.

Teacher resource

TIMES Module 23: Number and Algebra: algebraic expressions - teacher guide

This is a 25-page guide for teachers. This module introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

Teacher resource

TIMES Module 26: Number and Algebra: linear equations - teacher guide

This is a 16-page guide for teachers. It introduces the solution of linear equations and their uses.

Teacher resource

TIMES Module 24: Number and Algebra: negatives and the index laws in algebra - teacher guide

This is a 19-page guide for teachers. It extends the use of pronumerals to include negative numbers. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.