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**Scheme of work: Key Stage 3: Year 7: Term 2: Writing with algebraic notation**

- Use simple formulae
- Generate and describe linear number sequences
- Express missing number problems algebraically
- Find pairs of numbers that satisfy an equation with two unknowns
- Enumerate possibilities of combinations of two variables.

- An expression can be simplified by collecting like terms. Like terms are those which contain the same letter symbol and equal powers.
- As 2 + 2 + 2 can be written as 3 x 2, a + a + a can be written as 3 x a. However, with algebraic notation, multiply and division symbols are not included. 3x a is written as 3a, and 3 divided a is written as a fraction 3/a.
- An algebraic expression is a collection of mathematical terms with no stated value.
- Multiplicative relationships such as xy = yx can be used to simplify some expressions.
- The order of operations is used when substituting known values into expressions.

- Develop fluency
- Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships
- Substitute values in expressions, rearrange and simplify expressions, and solve equations.

- Reason mathematically
- Identify variables and express relations between variables algebraically and graphically.

- Solve problems
- Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
- Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

- Algebra
- 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 divided b
- coefficients written as fractions rather than decimals

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

- use and interpret algebraic notation, including:

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