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factorising may uncover common attributes of different parts of expressions

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manipulation of expressions can lead to clearer representations

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Generalisation
expressions help in representing the outcomes mathematical operations in a more efficient way

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simple algebraic fractions, addition of terms, multiplication of terms, expansion, simplification, factorisation

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* Are statements that are sometimes true ever useful?

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* How can some statements be always true?

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* Example of an equation that is sometimes true?
* What is an identity?
* Is there a difference between a formula and equation.

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* How are equations used to demonstrate connections between expressions?

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* What is an equation?
* What is an expression?
* What is the difference between an equations and an expression?
* Give an example of an equation? Expression?

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... inverse operations can reduce the complexity of equations

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... when manipulating equations balance must be maintained.

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linear, simultaneous, quadratic, convergence, balance, inverse operations, solutions in context.

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linear, simultaneous, quadratic, convergence, balance, inverse operations, solutions in context.

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... inequalities can be used to compare the value of expressions

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... equivalence can lead to statements that can be "sometimes true", "always true" or "never true"

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...equivalence can demonstrate connections between expressions.

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Equations, identities, formulae inequations (!=, < ,<=)

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Equations, identities, formulae inequations (!=, < ,<=)