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Which subject	Mathematics
What topic	factorise quadratcis
What length (min)	30
What age group	Year or Grade 9
Class size	20
What curriculum
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Check previous homework
Ask some students to presents their homework
Add a physical break
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Include homework
Show correct answers
Prepare slide templates
Number of slides	5
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Lesson plan

Topic

Factorising Quadratics

Objectives

• Understand the concept of factorisation of quadratic expressions.
• Identify the standard form of a quadratic equation.
• Apply factorisation techniques to solve quadratic equations.
• Develop the ability to check factorised expressions by expanding them back.

Materials

• Whiteboard and markers
• Projector (if available)
• Handouts with practice problems
• Graph paper
• Calculators (optional)

Grade/Age Group

Year 9 (ages 13-14)

Subject

Mathematics

Class Size

20 students

National Curriculum Alignment

This lesson aligns with the National Curriculum for Mathematics, focusing on:

• Understanding and applying the concepts of algebra.
• Factorising and manipulating algebraic expressions.
• Using algebra to solve problems.

Lesson Structure

Step Number	Step Title	Length (minutes)	Details
1	Introduction to Quadratics	5	Briefly discuss what a quadratic is, highlighting the standard form ( ax^2 + bx + c ). Provide examples.
2	Explanation of Factorisation	5	Explain the term 'factorisation' and its importance in solving quadratics. Introduce methods (trial and error, using formulas).
3	Guided Practice	10	Work through two examples of factorising quadratics as a class. Encourage student participation and questions.
4	Independent Practice	5	Distribute handouts with practice problems. Students work on these independently. Circulate to provide support as needed.
5	Review & Discuss Solutions	3	Review the answers to the handout without calling on individual students to present. Ask for general questions.
6	Conclusion and Homework	2	Summarise lesson key points and assign homework. Homework to include additional factorisation problems to reinforce learning.

Homework

Assign a set of quadratic expressions for factorisation. Collect the homework for checking but do not require students to present their work in front of the class. Provide written feedback on individual submissions during the next lesson.

Additional Notes

• Ensure to monitor the class for understanding during independent practice.
• Adjust the difficulty of examples based on student performance and understanding.
• Utilize visual aids, if available, to enhance understanding.

Lesson script