1. Topic


2. Content

Discovering the geometry of mathematics behind quilting and search
for reasoning through quilt patterns. Students will become familiar
with terms such as reflection and rotational symmetry in relation
to quilt blocks that create quilts. 


3. Goals: Aims/Outcomes

1. The different symmetries that result from placing the same quilt
block together in different ways.
2. How to determine different symmetries by looking at an individual
quilt block. 


4. Objectives

1. Use of new vocabulary
2. Completion of assignment(s)
3. Ability to understand the relationship between the history and
mathematics of quilting. 


5. Materials and Aids

Handouts, Crayons (optional) 


6. Procedures/Methods

A. Introduction
1. Four different letters (M, B, H, and S) will be placed on the
chalkboard.
2. Each group gets four quilts, and they are asked to sort them (minute
17) 


B. Development
1. What block they put under each letter? (write blocks/letters
on the board)
2. Why they placed the block there?
3. How does the symmetry of the letters relate to the quilt blocks?



C. Practice
Move individual quilt cut outs with guide underneath (minute 812)
Verbal instructions:
1. Turn upper right corner 180 degrees
2. What symmetry is this?
3. Now on your own by moving other squares make this H symmetry
4. Move the upper left corner, What symmetry is this?
5. Now make this M symmetry (if short on time, stop here)
6. Move the lower left corner, What symmetry?
7. Make this B symmetry
Power point quiz (minute 1315)
Example of:
 S symmetry
 M symmetry
 H symmetry
 B symmetry



D. Independent Practice
1. Creating designs from verbal directions
2. Questions the form of symmetry 


E. Accommodations (Differentiated Instruction)
Expected Questions/difficulties:
1. There is no line of symmetry for S because it cannot fold over
on top of itself.
2. Can there be symmetry without reflection?



F. Checking for understanding
1. Able to follow verbal directions to create designs
2. Recognizes the correct form of symmetry 


G. Closure
1. Define key vocabulary
2. Review four types of symmetry
3. Reflection and Rotational symmetry 

