Exploring Geometry through Origami

Title: Exploring Geometry through Origami

Compliance: Common Core State Standards for Mathematics

Subject: Mathematics

Summary: Engage eighth-grade students in a hands-on activity that combines the art of origami with the principles of geometry, allowing them to explore geometric concepts in a fun and interactive way.

Topic: Geometry, Origami, Geometric Shapes, Symmetry

Learning Outcomes:

• Know the basic geometric shapes and their properties
• Understand the concept of symmetry and its applications in geometry
• Apply geometric principles to create origami models
• Develop spatial reasoning and problem-solving skills

Methodology:

This activity will be conducted over several class periods and will involve a combination of teacher-led instruction, hands-on exploration, and group work.

Resources/Materials:

• Origami paper (square-shaped)
• Rulers
• Pencils
• Scissors
• Markers or colored pencils
• Chart paper or whiteboard

Instructions:

Day 1:

1. Begin by introducing the concept of geometry and its relevance in everyday life.
2. Discuss the basic geometric shapes (e.g., triangles, squares, rectangles, circles) and their properties (e.g., number of sides, angles, symmetry).
3. Show examples of origami models that can be created using these shapes.
4. Explain the connection between origami and geometry, highlighting how folding paper can help visualize and understand geometric concepts.
5. Demonstrate how to fold a simple origami model, such as a paper crane, step-by-step, emphasizing the geometric principles involved.
6. Allow students to practice folding the model, providing guidance and support as needed.

Day 2:

1. Review the geometric shapes and their properties covered in the previous class.
2. Introduce the concept of symmetry and its applications in geometry.
3. Show examples of symmetrical origami models and discuss how symmetry is achieved through folding.
4. Guide students in creating their own symmetrical origami models, such as a butterfly or a flower, using the origami paper.
5. Encourage students to explore different folding techniques and experiment with creating their own designs.

Day 3:

1. Review the geometric shapes, their properties, and the concept of symmetry.
2. Divide students into small groups and assign each group a specific origami model to create.
3. Provide the necessary materials and allow students to work collaboratively to fold their assigned models.
4. Encourage students to discuss the geometric principles involved in their models and how they can be applied to real-life objects.
5. Have each group present their origami model to the class, explaining the geometric concepts used and the creative process.

Assessment:

To assess student learning, use the following methods:

• Observation during class discussions and hands-on activities
• Group presentations of origami models, evaluating their understanding of geometric concepts and ability to explain the creative process
• Written reflections or journals where students can describe their learning experiences and connections made between origami and geometry

By the end of this activity, students should have a solid understanding of basic geometric shapes, symmetry, and their applications in real-life objects. They will also have developed spatial reasoning and problem-solving skills through the hands-on exploration of origami.