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Which subject	Mathematics
What topic	Linear Diaphantine Equations
What length (min)	30
What age group	Year or Grade 11
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

Topic

Linear Diophantine Equations

Objectives

• Understand the definition of Linear Diophantine Equations.
• Solve basic Linear Diophantine Equations.
• Apply concepts to real-world problems involving Linear Diophantine Equations.

Materials

• Whiteboard and markers
• Projector and screen
• Handouts with practice problems
• Graphing calculators (optional)
• Examples of real-life applications of Linear Diophantine Equations

Grade/Age Group

Year/Grade 11

Subject

Mathematics

Class Size

20 students

National Curriculum Correspondence

This lesson aligns with the Canadian mathematics curriculum, particularly in relation to algebraic concepts and problem-solving strategies for Grade 11.

Lesson Structure

Step Number	Step Title	Length (min)	Details
1	Introduction to Diophantine Equations	5	Briefly introduce Linear Diophantine Equations, including definition and significance.
2	Basic Concept Explanation	7	Explain the standard form of the equation, ax + by = c, and what a solution looks like.
3	Solving Examples	7	Work through simple examples on the whiteboard, demonstrating how to solve the equations.
4	Practice Problems	7	Distribute handouts with practice problems for students to solve in pairs or small groups.
5	Real-World Applications	2	Discuss how Linear Diophantine Equations are used in real-life scenarios, such as resource allocation.
6	Homework Assignment	2	Assign homework on Linear Diophantine Equations and explain how it will be checked.

Homework

• Students will be assigned problems related to Linear Diophantine Equations to complete at home.
• Homework will be collected at the beginning of the next class and checked for completion without requiring students to present it in front of the class.

Additional Notes

• Encourage students to ask questions during the practice session.
• Consider forming groups based on varying skill levels to promote collaborative learning.

Lesson script