GEOMETRY
IN TRADITIONAL QUILT DESIGNS
LESSON FIVE - The Plane! The Plane! I See The Plane!!!!
This lesson will show how the Coordinate Plane can be used to create new quilt designs using one new irregular geometric shape. That new shape can then be rotated, reflected, and translated across the four quadrants of the Coordinate Plane to produce three new quilt designs.
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Appliqued
quilt on bed |
Star
quilt, detail
Quiltmaker - Severt, Carrie September 1978 (Library of Congress Call Number AFC 1982/009: BR8-LE26-6 Digital ID afcqltbr br097) |
Math
Objectives:
North
Carolina Standard Course of Study-Mathematics-Grade 7
2.03 Students will locate and give coordinates of plane figures which are
the results of rotations, translations or reflections in all quadrants of
the coordinate plane.
Material
List:
Cards with predetermined coordinates for various irregular polygons
Worksheet
Rulers
Protractors
1. Students will work in groups of three and given a number
(one, two or three). Assign a concept of transformation to each number:
| One | Rotation (turn) | |
| Two | Reflection (flip) | |
| Three | Translation (slide) |
2. Each group will be assigned a predetermined set of coordinates for an irregular polygon. One member of the group will read the list of coordinates to the other members and they will plot these in Quadrant I of their worksheet.
3. Number one group members will rotate their polygon four times (90 degrees each turn) around the (0,0) point of the plane. Number two members will reflect the polygon across the x-axis and y-axis until all quadrants are filled. Each number three member will translate the polygon to the same placement in the remaining three quadrants.
4. The final step of this activity is to fill in the coordinates of the new figures formed in the remaining quadrants on the Student Worksheet.
ASSESSMENT:
Student
Worksheet
Assessment of this activity is based on the accuracy of the new coordinates
named in the remaining three quadrants.
Julie
Curtis - AAM