# Writing with algebraic notation

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

#### Prerequisite Knowledge

• 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.

#### Key Concepts

• 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.

#### Working Mathematically

• 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.

#### Subject Content

• 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
• a2 in place of a x a, a3 in place of a x a x a; a2b 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

## Writing with algebraic notation Resources

### Mr Mathematics Blog

#### Sequences and Series

Edexcel A-Level Mathematics Year 2: Pure 2: Algebraic Methods

#### T- Formulae

Scheme of work: A-Level Further Mathematics: Further Pure 1: The t – formulae

#### Regression, Correlation and Hypothesis Testing

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing