# Algebraic Expressions

Scheme of work: Year 12 A-Level: Pure 1: Algebraic Expressions

#### Prerequisite Knowledge

• Know and apply the following rules of indices:
• Multiplication Rule na x nb = na + b
• Division Rule  na x nb = na + b
• Power Rule (na)b
• Power of Zero
• Evaluate expressions with fractional and negative powers
• Simplify a surd
• Rationalise a denominator in the form 1/√a

#### Success Criteria

• Understand and be able to use the laws of indices for all rational exponents.
• Use and manipulate surds, including rationalising the denominator.

#### Key Concepts

• Simplifying surds at the start of a problem often makes future working much simpler.
• Students need to:
• evaluate expressions involving numerical and algebraic bases with a fractional and negative power.
• apply the rules of indices to fractional and negative powers.
• know how the complex conjugate is used to rationalise a denominator.

#### Common Misconceptions

• Students often leave surds un-simplified, especially when rationalising a denominator.
• 1/2x is often written incorrectly written as 2x-1 rather than (2x)-1.
• Students often struggle to evaluate indices involving both a fractional and negative power.  This is especially true when the base involves an algebraic and numerical term.

## Algebraic Expressions 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