Day 29 of 30
Tessellations
Content is AI-assisted and continuously improved through educator review
Learning Objective
Students will explore tessellations through guided practice and application.
This lesson focuses on tessellations. Mathematics provides tools for modeling and analyzing complex systems.
Spatial reasoning is the ability to visualize and manipulate shapes and figures mentally. Tessellations are patterns made by fitting shapes together without gaps or overlaps—like floor tiles. Regular tessellations use one type of regular polygon: equilateral triangles, squares, and regular hexagons tessellate. Tangrams use 7 geometric pieces to form various shapes, building visualization skills. Building with blocks develops understanding of 3D shapes, balance, and spatial relationships. These spatial skills connect mathematics to art, architecture, engineering, and everyday problem-solving.
As you engage with this material, consider both the theoretical foundations and practical applications. Think critically about how this concept builds on prior knowledge and where you might apply it beyond the classroom.
Challenge yourself to go beyond memorization—seek to understand the "why" behind the processes and principles.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Practice Problem 1: Apply what you learned today.
Practice Problem 2: Try a similar problem on your own.
Challenge: Can you create your own problem like the ones we practiced?
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply tessellations to novel situations.