Writing with algebraic notation

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

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.