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 11
Class size	20
What curriculum
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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

Topic

Algebra: Quadratic Functions and Their Graphs

Objectives

• Understand the standard form of a quadratic equation.
• Analyze the key features of quadratic functions, including vertex and axis of symmetry.
• Graph quadratic functions and interpret their properties.
• Solve quadratic equations using factorization and the quadratic formula.

Materials

• Whiteboard and markers
• Graph paper
• Calculators
• Projector for presentations
• Handout with key concepts and practice problems

Grade/Age Group

Year 11 (Ages 15-16)

Subject

Mathematics

Class Size

20 students

Lesson Duration

30 minutes

Curriculum Alignment

This lesson aligns with the New Zealand Mathematics Curriculum, focusing on algebra and graphical interpretation of functions.

Lesson Structure

Step Number	Step Title	Length (Minutes)	Details
1	Introduction to Quadratics	5	Briefly discuss the characteristics of quadratic functions. Write a standard form equation on the board.
2	Key Features of Quadratic Functions	10	Explain the vertex, axis of symmetry, and direction of opening. Show how to calculate these features using examples.
3	Graphing Quadratic Functions	8	Demonstrate how to plot a quadratic function using a graph from standard form. Allow students to graph on their own graph paper.
4	Solving Quadratic Equations	5	Teach students how to factor and use the quadratic formula. Provide examples and ensure understanding.
5	Guided Practice	2	Distribute practice problems. Guide students as they work independently or in small groups to reinforce concepts.
6	Homework Assignment	0 (5 min intro)	Explain homework expectations and review the solution key to ensure students understand the problems without presenting in class.

Homework Assignment

• Complete a set of quadratic equations, both for graphing and solving, to reinforce the day’s lesson.
• Review the handout and ensure understanding of how to find the vertex and axis of symmetry.

Evaluation

• Monitor student engagement during the lesson and check for understanding through informal assessments during practice.
• Collect homework assignments to assess individual understanding without formal presentations.

Lesson script