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Listed under:  Mathematics  >  Algebra  >  Mathematical expressions  >  Algebraic terms
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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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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.

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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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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.

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 ...

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 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.

Teacher resource

TIMES Module 25: Number and Algebra: special expansions and algebraic fractions - teacher guide

This is a 21-page guide for teachers. It introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, expanding two or more sets of brackets, the difference of squares, and algebraic fractions.

Teacher resource

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.

Interactive Resource

BBC Bitesize: linear sequences

This interactive resource introduces students to the meaning of the term 'linear sequence'. Finding the rule both in words or symbols, and in terms of the position in the sequence, is covered in worked examples and in questions for students to attempt. Further terms in the sequence are found by continuing the pattern and ...

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BBC Bitesize: linear sequences - revision

These illustrated information sheets revise the definition of a sequence and the nth term. The method of finding the rule for the nth term is extended to more complicated sequences. Highest common factors and lowest common multiples of pairs of numbers are found. This resource is one of a series of online resources from ...

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.

Interactive Resource

Expressions

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

Interactive Resource

Terms

An animated tutorial about terms and 'like' terms, followed by an interactive quiz.

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Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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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: a piece of cake

Can you write an algebraic equation to relate two variables? See how to write an equation that shows how the number of cakes relates to the cake ingredients of eggs, butter, cocoa, flour, sugar and milk.

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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.