# Area and Arc Length of Sectors

Scheme of work: GCSE Higher: Year 10: Term 6: Area and Arc Length of Sectors

#### Prerequisite Knowledge

• Know and apply formulae to calculate: the area of triangles, parallelograms and trapezia;
• Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr2; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes;

#### Success Criteria

• Calculate arc lengths, angles and areas of sectors of circles.
• Understand and use standard mathematical formulae; rearrange formulae to change the subject
• Know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments

#### Key Concepts

• A sector is a fraction of 360° of the entire circle.
• Students need to have a secure understanding of using the balance method when rearranging formulae. Recap inverse operations, e.g., x^2=>root x.
• When generating formulae it is important to associate mathematical operations and their algebraic notation with key words.

#### Common Misconceptions

• The arc length and area of a sector are often rounded incorrectly. Encourage students to evaluate as a multiple of pi and calculate the decimal at the end.
• Students often have difficult generating formulae from real life contexts. Encourage them to carefully break down the written descriptions to identify key words.

## Area and Arc Length of Sectors 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