Title:  Geometric Art   Subject/Course:  Math  Topic: Geometry Grade(s): 7  Designer(s): Pam Joseph

 

In this project, students will use geometric concepts to design a pattern for a T-shirt. They will create three designs: one with a tessellation, one with a translation and one with a reflection. They will present one of them to the class.

 

Stage 1 – Desired Results

Established Goal(s)

Georgia Performance Standards-7th grade mathematics:

M7G2a.   & M7G4a.

 

Understanding(s) Students will understand that...

1.      the same geometric figures can be used to form tessellations, translations, and reflections

2.      new software and computers have revolutionized what artists can do with images; artists can make drawings electronically in a fraction of the time it would take to draw them with a pencil; this allows an artist to quickly try out, change, combine, rearrange, and refine new ideas

U

Essential Question(s)

1.      What kinds of polygons will help me to make these three designs?

2.      How do I measure various geometric figures to make these three designs?

3.      What software and computer aided devices will help me make my designs?

 

Q

 

Students will know...

 about different kinds of polygons based on the number of sides and the relationship of the sides and angles

 

K

Students will be able to...

measure the sides and angles of polygons and use logical reasoning to make predictions about how polygons can be combined in geometric  patterns and will be able to use Geometer’s Sketchpad to make their T-shirt designsand and will be able to S

 


 

Stage 2 – Assessment Evidence

Performance Task(s) Summary in G.R.A.S.P.S. form

Students will be assessed in the following ways:

·        The research they do on their ethnic heritage and geometric pattern.

·        The geometric patterns they find in their home.

·        The research they do in the electronic encyclopedia on polygons.

·        Their success with Geometer’s Sketchpad.

·        The three designs-tessellation, translation, reflection-they create.

·        Their presentation of one of the designs to the class.

 

T

Key Criteria:

Key criteria are success with making the three designs correctly, and their presentation to the class.

Other Evidence

Teacher observation, using Geometer’s SketchpadOE

 


 

 

Stage 3 – Learning Plan

Learning Activities Consider the W.H.E.R.E.T.O. elements.

 

1.       Students will be instructed to look for examples of geometric patterns in fabrics they find in their homes. They then describe the patterns in writing.

2.       Students will then research their ethnicity and geometric patterns from their heritage. They will use one of these patterns for one of their designs. They will summarize the background information on their heritage and the specific design.

3.       Students will research various polygons with an electronic encyclopedia. They will summarize this information.

4.       Students will have a lesson in Geometer’s Sketchpad and will be able to practice.

5.       Students will then design their three T-shirt patterns.