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Graded Geometric Figures

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Material

Set of circles, triangles, and squares of varying sizes and colors which will inscribe within each other. Each set of shapes is kept in a separate compartment in a box. 

The AMI approved material includes: 
A series of 10 plastic circles, from 1 cm to 10cm, in red, blue, and yellow in a compartmented box.
A series of 10 plastic squares, from 1 cm to 10cm, in red, blue, and yellow in a compartmented box. 
A series of 10 plastic equilateral triangles, from 1 cm to 10cm, in red, blue, and yellow in a compartmented box. 

Presentation

  1. Invite the child to the lesson. 
  2. Take a box of squares to the table.  
  3. Use only one shape and one color. 
  4. Place the squares one at a time on the table. 
  5. Randomize the squares. 
  6. Grade them from largest to smallest.  
  7. Randomize the squares again.  
  8. Stack the squares concentrically.  
  9. Randomize the squares again.  
  10. Ask the child to explore. 

Exercises

Exercise 1: child works independently.
Exercise 2: One Shape, Two Colors.
Exercise 3: Two Shapes, Two Colors.
Exercise 4: Gradually give the child the freedom to use more colors and shapes.

Language

None.

Control of Error

None.

Direct Purpose

Further child’s experience with shapes and their relationships.
Preparation for ornamental geometry such as quilts, art deco style, prairie style. 

Indirect Purpose

Preparation for geometry and plane geometry.

Age

4

Notes

This work reflects many other pieces of work in the environment, it may lead to many new realizations about those works and their underlying geometry.  

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