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GEOMETRY
IN TRADITIONAL QUILT DESIGNS
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LESSON
FOUR - Help! My Square Is the Wrong Size!
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This lesson will
allow students to construct perpendicular and parallel lines in order to duplicate
the square they receive. They will have to investigate the relationships of
the angles found in the various shapes including congruency and supplementary
and complementary pairs of angles. In addition, each group will also have
to demonstrate their knowledge of similarity of polygons and use proportions
to change the original dimensions of the shapes into larger and/or smaller
versions.
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Double
wedding ring pattern, made by Catherine Stewart from pieced cotton scraps
found on the Ninety Six Ranch, ca. 1930 (Library of Congress Call
Number NV-SI-19 Digital ID afc96ran 47823)
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Math
Objectives:
North
Carolina Standard Course of Study-Mathematics-Grade 7
1.05 Students will be able to write and solve proportions.
3.05 Students will be able to create a wide variety of patterns to investigate
relationships and solve problems; use appropriate technology.
4.01 Student will be able to construct histograms.
4.04 Students will be able to create and evaluate different graphic representations
of the same data
Computer
Objectives:
North
Carolina Standard Course of Study - Computer Skills - Grade 7
North Carolina Standard Course of Study - Computer Skills - Grade 7
3.1 Students will be able to select and use technology tools to collect, analyze
and display data.
3.3 Students will research, create, publish, and present projects related
to content areas using a variety of technological tools.
3.7 Students will choose charts, tables or graphs which best represent their
data.
Material
List:
Cards with randomly selected quilt square designs
Geoboards
Graph paper or dot paper
Rulers
Protractors
Calculators
Time
Frame:
One or two 45-50 minute class periods
1. Students will be placed in groups of three or four.
2. Each group will receive one quilt block card in very small proportion.
Roughly sketch this design onto a sheet of graph or dot paper. Using a ruler,
measure each side of every patch in the block and record these measurements
to your sketch.
3. Using the measurements from your sketch and your knowledge of similarity
(using proportions) enlarge or reduce your design to produce one of the following
size quilt blocks. Calculate measurements of each newly created block:
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A.
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10 X 10 inch square |
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B.
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12 X 12 inch square |
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C.
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6 X 6 inch square |
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D.
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4 X 4 inch square |
5. Now you can test your calculations by drawing a new block. All group members must participate in the activity.
ASSESSMENT:
1. Each member of the group will be asked to evaluate all members (including yourself). This activity is worth 100 total points and students will award points to all group members based on the percentage of work contributed by each member Lesson Four Assessment Sheet.
2. As a follow-up
activity, each group will be asked to assess the accuracy of a square resized
by another group. You will check all measurements of sides and angles of the
original square, calculations of all proportions, and measurements of the
new resized square.
Julie Curtis - AAM