Examination of geometric solids with special consideration of the cube: The students should get to know geometric solids and their properties. They should further develop their spatial imagination by working with geometric bodies on different levels of representation (enactive, iconic, symbolic).
Table of Contents
- Introduction to the topic "Body" - Recognizing and assigning body shapes (1 hour)
- Bodies and surfaces - drawing surface shapes (1 hour)
- Building with everyday material - making buildings from packaging material (1 hour)
- Free building with wooden cubes (1 hour)
- Building cube buildings according to pictorial specifications - determine numbers (1 hour)
- Introduction of construction plans – exercises for the creation of construction plans (1 hour)
- Building with the cube - inventing blueprints and building cube buildings (1 hour)
- Examine cube buildings – linking to multiplication tasks (2 hours)
Objectives and Key Themes
The main objective of this teaching unit is to introduce students to geometric bodies and their properties. The students will develop their spatial imagination by working with geometric bodies on different levels of representation (enactive, iconic, symbolic). They will also learn to draw blueprints and build cube buildings, further enhancing their spatial reasoning skills.
- Understanding the properties of geometric bodies, particularly the cube
- Developing spatial imagination and reasoning abilities
- Learning to create blueprints and build structures using geometric bodies
- Relating geometric concepts to real-world applications
- Exploring the connection between geometry and other subjects, such as multiplication
Chapter Summaries
- Introduction to the topic "Body" - Recognizing and assigning body shapes (1 hour): Students learn to distinguish between surfaces and bodies by arranging everyday materials and describing their properties. They also classify bodies such as spheres, cubes, cuboids, and cylinders based on their characteristics and deepen their understanding by kneading a body of their choice.
- Bodies and surfaces - drawing surface shapes (1 hour): Students discover the relationship between bodies and surfaces by drawing surface shapes using packaging material.
- Building with everyday material - making buildings from packaging material (1 hour): Students further explore the properties of bodies by constructing fantasy buildings from packaging material.
- Free building with wooden cubes (1 hour): Students engage in playful exercises with wooden cubes to build, recreate, and describe fantasy buildings.
- Building cube buildings according to pictorial specifications - determine numbers (1 hour): Students determine the number of cubes in illustrations of cube buildings and recreate them for verification.
- Introduction of construction plans – exercises for the creation of construction plans (1 hour): Students are introduced to the representation of blueprints for cube buildings and apply their knowledge by creating as many different blueprints as possible for cube buildings with four cubes.
- Building with the cube - inventing blueprints and building cube buildings (1 hour): Students train their spatial imagination by drawing blueprints and building cube buildings.
Keywords
This teaching unit focuses on geometric bodies, particularly the cube, and its properties. Key themes include spatial imagination, representation, blueprints, cube buildings, multiplication, and the development of geometric thinking. The unit also explores the connection between geometry and other subjects, emphasizing practical applications of geometric concepts.
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- Maraike Sittartz (Autor), 2007, Teaching unit: Building with the cube. Invent building plans and build cube buildings, Múnich, GRIN Verlag, https://www.grin.com/document/1216600
