Lesson plan	Titles of parts of the lesson must be formatted as headings
What to create	Lesson plan
Which subject	Mathematics
What topic	Tesselations
What length (min)	30
What age group	Year or Grade 7
Include homework
Include images descriptions
Any other preferences

Lesson Plan: Tesselations in Mathematics

Subject: Mathematics

Grade: 7

Duration: 30 minutes

Topic: Tesselations

Objectives:

• Understand the concept of tessellations.
• Identify different types of tessellations.
• Create a simple tessellation design.

Materials Needed:

• Graph paper
• Colored pencils or markers
• Ruler
• Scissors
• Examples of tessellations (images or printed examples)

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Lesson Outline:

Introduction (5 minutes)

• Begin with a brief introduction to tessellations. Define tessellation as a pattern made of one or more shapes that fit together without any gaps or overlaps.
• Show images of famous tessellations (e.g., M.C. Escher’s works) to engage students and spark interest.

Explanation (10 minutes)

• Types of Tessellations:

  • Regular Tessellations: Made using one type of regular polygon (e.g., equilateral triangles, squares, regular hexagons).
  • Semi-Regular Tessellations: Made from two or more types of regular polygons in a repeating pattern.
  • Irregular Tessellations: Made with shapes that do not follow regular patterns.

• Key Properties of Tessellations:

  • Must cover a plane without gaps.
  • Must not overlap.

Activity (10 minutes)

• Creating a Tessellation:
  1. Distribute graph paper to each student.
  2. Instruct students to choose a simple shape (e.g., a triangle, square, or hexagon).
  3. Demonstrate how to draw the shape on the graph paper and replicate it to create a tessellation.
  4. Allow students time to construct their own tessellations, encouraging creativity and the use of colors.

Conclusion (5 minutes)

• Allow a few students to showcase their tessellation designs to the class.
• Summarize the key points discussed about the types and properties of tessellations.

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Homework Assignment

Objective:

Reinforce learning about tessellations through exploration and creation.

Tasks:

1. Research Task:

   • Find a real-world example of tessellations (e.g., tiles, murals, architecture). Write a short paragraph describing it and include a picture.

2. Creative Task:

   • Create a tessellation pattern using at least three different shapes. Include a color scheme for your design.

3. Reflection:

   • Answer the following questions:
     • What is your favorite type of tessellation and why?
     • How did you overcome challenges while creating your tessellation?

Correct Answers (Examples):

1. Research Task Example:

   • Example: "The Alhambra in Spain features beautiful tile patterns that are a great example of tessellation. The designs are intricate and showcase a variety of geometric shapes." (Include picture of Alhambra tiles)

2. Creative Task Example:

   • A tessellation made from squares, triangles, and hexagons arranged alternately in a color scheme of blue, green, and yellow.

3. Reflection Answers:

   • Favorite type: Regular tessellations because they are simple and symmetrical.
   • Challenge: It was difficult to fit shapes together without gaps, but I adjusted my shapes until they worked.

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Notes for Teacher:

Encourage students to express their creativity in both their tessellation designs and homework assignments. Be ready to assist those who struggle with understanding the concepts or creating their tessellations.