Overview


Subject/Sub-Subject: Math/Geometry


Title: Geometry: Transformations in Quilts


Summary:

Students will gain an understanding of the three types of transformations, and be able to
recognize and reproduce the application of mathematical concepts in quilt
design.


Understanding Goal

Geometry exists in the things that surround us.

Investigative Question

How is geometry used in making quilts?

Grade(s): 10, 11, 12, 8
Audience: Special Education
Learners: A class of 12 10th -12th grade students with a wide range of abilities.
Required Vocabulary: N/A
Prior Content Knowledge: N/A
Standards

GEOMETRY
TOPIC: COORDINATE RELATIONS AND TRANSFORMATIONS
STANDARD G.2
The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include
b) investigating symmetry and determining whether a figure is symmetric with respect
a line or a point; and
c) determining whether a figure has been translated, reflected, or rotated.

Field Tests

Click on the title to expand the description of each field test

Sources

Geometry: Transformations in Quilts

Understanding Goal

Geometry exists in the things that surround us.

Click on an image for more information.

Slideshow Icon View as a slideshow
1992 New Mexico State Winner; Ed's Graduation Quilt 1994 New Jersey State Winner; Blest Be the Tie That Binds 1994 New York State Winner; Variable Star/ Flying Circles 1992 Mississippi State Winner; Bird of Paradise 1996 Georgia State Winner; International Fabric I 1992 Rhode Island State Winner; Stardust 1992 Washington, District of Columbia, Winner; An American Quilt 1994 Tennessee State Winner; Autumnal Shadows 1996 Delaware State Winner; Where's Waldo 1996 Maine State Winner; Storm in the Fisheries / Storm at Sea

Required Materials

Files

Transformations in Quilts.ppt

Directions

Investigation

Step 1 Review the three different types of transformations and show how each works.

Files

Step 2 After reviewing the three different types of transformations, have each student write a 1-2 sentence definition, using their own words, for the following terms: Transformation Plane Translation Reflection Rotation
Step 3 Use the quilts prints for the Library of Congress to find examples of translation, reflections, and rotation in the quilt prints. Note that each quilt may use more than one kind of transformation. Ask students to explain their responses.
Step 4 Ask students to pick one of the pictures of the quilts, to study the pattern in greater detail. Ask students to describe how their patterns work using geometric terms, such as symmetry, rotation, reflection, or transformation. Ask students to draw the basic design or they can create their own design on graph paper.

Best Instructional Practices


Understanding Goal

Geometry exists in the things that surround us.

Investigative Question

How is geometry used in making quilts?


Analysis of Student Learning


At first, students unfamiliar with quilting chose to relatively simple designs using triangles or squares. However, after reviewing the terms, most students wanted to explain the more complex images. All students were able to describe pattern works using geometric terms and apply those geometric principles in designing a quilt.


Analysis of Best Instructional Practices (learn more)

Differentiated Instruction Differentiated Instruction (learn more)

Process

The use of a variety of quilt patterns, for very simple to extremely complex. Note taking using Inspiration.

Literacy Instruction Literacy Instruction(learn more)

Writing

Students define the geometric terms and describe how they are used in patterns.

Visual

Visual aids used in the experience were a PowerPoint presentation on transformations, and the prints of the quilts.

Teaching for Understanding Teaching for Understanding(learn more)

Explicit Understanding Goal

Using the quilt pattern, students were able to describe in terms of symmetry, rotation, refection, or translation, and then they were able to draw the basic design.

Assessing Understanding

Using the quilt pattern, students were able to describe in terms of symmetry, rotation, refection, or translation, and then they were able to draw the basic design.

Learners Explain Thinking

Discussion of various patterns in quilts.

Technology Integration Technology Integration(learn more)

Content Presented

Power Point Presentation. Some student took notes using Inspiration.

Reflections and Recommendations


This is a great activity that can be differentiated for all grades and abilities. One way to differentiate this activity is to simplify the vocabulary. For example, instead of using the translation, you could use "slide". Another way to differentiate the activity is by adjusting the out put to suit the students preferred learning style. Another accommodation could be to select the easy quilt prints for student who you think might struggle, while giving brighter student the more different prints. I could go on and on the number of way a teacher could differentiate this activity. Overall, I think the lesson went well. The only thing I would do differently is to have a worksheet of some type of graphic organizer for the students to follow or fill out. I would recommend this activity for K-5. At the secondary level, I feel that the activity was too time consuming for such a simple concept.

Credits

Authors and Contributors

Tracy Ramey
TC Williams High School, Alexandria City Public Schools, Virginia

Library of Congress Items

Library of Congress items used in this Lesson Plan.

Thumbnail Library of Congress Item
1992 New Mexico State Winner; Ed's Graduation Quilt Manzanares, H. 1989-1991. 1992 New Mexico State Winner; Ed's Graduation Quilt. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1994 New Jersey State Winner; Blest Be the Tie That Binds Thompson, J. 1993-1994. 1994 New Jersey State Winner; Blest Be the Tie That Binds. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1994 New York State Winner; Variable Star/ Flying Circles Strasberg, L. 1993. 1994 New York State Winner; Variable Star/ Flying Circles. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1992 Mississippi State Winner; Bird of Paradise Baggett, G. 1991-1992. 1992 Mississippi State Winner; Bird of Paradise. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1996 Georgia State Winner; International Fabric I Butler, B. 1993. 1996 Georgia State Winner; International Fabric I. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1992 Rhode Island State Winner; Stardust Burrill, J.F. 1989-1990. 1992 Rhode Island State Winner; Stardust. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1992 Washington, District of Columbia, Winner; An American Quilt Splitt, M. 1991. 1992 Washington, District of Columbia, Winner; An American Quilt. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1994 Tennessee State Winner; Autumnal Shadows Clabo, M. 1992. 1994 Tennessee State Winner; Autumnal Shadows. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1996 Delaware State Winner; Where's Waldo Schwam, V. 1995-1996. 1996 Delaware State Winner; Where's Waldo. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.
1996 Maine State Winner; Storm in the Fisheries / Storm at Sea Chase, L. 1994. 1996 Maine State Winner; Storm in the Fisheries / Storm at Sea. Library of Congress: American Memory, Quilts and Quiltmaking in America, 1978-1996.