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**Scheme of work: Key Stage 3: Year 7: Term 6: Setting up and Solving Equations**

- use and interpret algebraic notation, including:
- ab in place of a x b
- 3y in place of y + y + y and 3 x y
- a
^{2}in place of a x a, a^{3}in place of a x a x a; a^{2}b in place of a x a x b - a/b in place of a x b
- Coefficients are written as fractions rather than decimals

- simplify and manipulate algebraic expressions to maintain equivalence by:
- collecting like terms
- taking out common factors

- Students should use a scale to visualise how it remains balanced when solving equations.
- A secure understanding of the order of operations and inverse operations is needed to keep an equation balanced.
- By solving the equation you find the value of the unknown number.
- When forming equations students often become confused with using brackets.
- An equation can have a positive or negative solution which could be presented as a simplified fraction rather than a decimal.

- Develop fluency
- Move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]
- Develop algebraic and graphical fluency, including understanding linear and simple quadratic functions.

- Reason mathematically
- Identify variables and express relations between variables algebraically
- Make and test conjectures about patterns and relationships; look for proofs or counter-examples

- Solve problems
- Begin to model situations mathematically and express the results using a range of formal mathematical representations.

- Algebra
- Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
- Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

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