Full lesson	Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle}
Which subject	Mathematics
What topic
What length (min)	30
What age group	Year or Grade 10
Class size	20
What curriculum
Include full script
Check previous homework
Ask some students to presents their homework
Add a physical break
Add group activities
Include homework
Show correct answers
Prepare slide templates
Number of slides	5
Create fill-in cards for students
Create creative backup tasks for unexpected moments

Lesson plan

Lesson Plan: Mathematics

Topic

Quadratic Equations: Solving by Factoring

Objectives

• Understand the concept of quadratic equations and their standard form.
• Learn to solve quadratic equations by factoring.
• Apply problem-solving skills to find the roots of quadratic equations.

Materials

• Whiteboard and markers
• Projector for presentation (optional)
• Handouts with quadratic equation problems
• Graphing calculators (optional)
• Worksheets for practice

Grade/Age Group

Year 10

Subject

Mathematics

Class Size

20 students

National Curriculum Alignment

This lesson aligns with the Australian Curriculum: Mathematics, focusing on understanding and solving quadratic equations.

Lesson Structure

Step Number	Step Title	Length (minutes)	Details
1	Introduction to Quadratics	5	Discuss what quadratic equations are. Introduce standard form (ax² + bx + c = 0).
2	Explaining Factoring	5	Explain the method of factoring quadratic equations. Provide simple examples.
3	Guided Practice	10	Work through examples of solving quadratic equations by factoring as a class.
4	Independent Practice	5	Distribute handouts with problems for students to solve individually.
5	Homework Assignment Overview	2	Brief students on the homework assignment related to quadratic equations.
6	Homework Check	3	Collect homework without student presentations; provide feedback on common errors.

Assessment

• Monitor participation during guided practice.
• Review independent practice worksheets for understanding.

Homework

• Assign students to solve a set of quadratic equations using the factoring method.
• Encourage students to complete the assigned problems before the next class.

Adaptations

• Provide additional support for students who may struggle with factoring by offering one-on-one assistance or additional resources.
• Offer extension activities for advanced students to explore the quadratic formula as an alternative solving method.

Conclusion

Wrap up the lesson by emphasizing the importance of understanding quadratic equations in real-world applications, such as physics and engineering. Remind students to check their homework and prepare for the next lesson.

Lesson script