PROJECT: GEOMETRY ROTATION PROJECT

TEACHER: ANNETTE FORNIES

SCHOOL: LAROSE-CUT OFF MIDDLE SCHOOL

CONTENT: Geometry and Visual Art

GRADE LEVELS: 8th

OBJECTIVES:

The learner will:

  • rotate an object 90°, 180°, and 270°
  • draw a picture (free hand or computer drawn) that symbolizes something about him/her.
  • create a class quilt of the rotation project.

TIME: Two 70-minute class periods

MATERIALS:

  1. activity sheets
  2. rubric
  3. crayons
  4. markers
  5. tape
  6. construction paper (for border of quilt)
  7. computer
  8. internet
  9. LCD projector or TV/PC converter

ACTIVITY:

Lesson Overview:
Students have learned about transformations in mathematics class. Students will use the vocabulary terms listed (attached) to create and discuss a Geometry Rotation Project. The teacher will use the Internet and LCD projector to model and explain tessellations and how they are connected to transformations -especially rotations. The students will create a class quilt of the finished rotation projects.

Activities:
1. The students will view various websites about M.C. Escher and tessellations.

http://www.worldofescher.com/gallery/
http://www.mathcats.com/explore/tessellations/tessgallery.html
http://www18.big.or.jp/~mnaka/home.index.html

2. The students will either hand draw or use the computer to draw a picture that fits inside the square on activity sheet 1 (attached)

3. The students will trace the picture in each of the 4 squares rotating the picture in a clockwise direction placing the original picture in the top left box and rotating the picture 90°, 180°, and 270°.

4 The students will color the pictures using crayons, markers, or colored pencils.
Students will be encouraged to be creative.

5. The students will cut out the quilt squares and tape them together to create a class quilt. They will use construction paper to create a border for the quilt.

6. The teacher will lead a discussion about the quilt.

Suggested questions:What does your picture represent about you?
Does your picture have symmetry or rotational symmetry?
Is your picture abstract or objective?
Why did you choose the colors that you used in your picture?
Is quilt making considered an art form?
How are transformations used in art?

EVALUATION/ASSESSMENT:

  • teacher observation
  • rubric (attached)
  • oral discussion (questions and answers)
  • student participation

GRADE LEVEL EXPECTATIONS AND STANDARDS/BENCHMARKS:
Louisiana Geometry GLEs, Standards, Benchmarks:
GLE 24 Demonstrate conceptual and practical understanding of symmetry, similarity, and congruence and identify similar and congruent figures. (G-2-M)
G-2-M identifying, describing, comparing, constructing and classifying geometric figures and concepts
G-3-M making predictions regarding transformations of geometric figures (e.g., make predictions regarding translations, reflections, and rotations of common figures)
G-4-M constructing two- and three-dimensional models
G-7-M demonstrating the connection of geometry to the other strands and to real-life situations (e.g., applications of the Pythagorean Theorem)

Louisiana Visual Arts Content Standards Benchmarks:
VA-CE-M3 Learners use the elements and principles of design and art vocabulary to visually express and describe individual ideas.
VA-CE-M6 Learners understand and visually express relationships among visual arts, other arts, and disciplines outside the arts.
VA-AP-M6 Learners describe the use and value of the visual arts in daily life, the workplace, and community.
Louisiana K-12 Educational Technology Standards:
3 Technology Productivity Tools (Resource, Access, and Utilization Foundation Skill) -- Students use technology tools to enhance learning, increase productivity and promote creativity.

MODIFICATIONS/ACCOMODATIONS:

Students will receive extended time, repeated directions, peer assistance and teacher assistance.

Vocabulary:
clockwise
rotation
symmetry
abstract
tessellation
congruent
local colors
complementary colors
composition
cool colors


Art Concepts to be discussed during lesson:

Complementary colors - Colors that are located opposite one another on the color wheel (e.g., red and green, yellow and purple, blue and orange); colors that when mixed together will (in color theory) produce a neutral color (a color that is neither warm nor cool). In the case of the three primary colors (red, yellow and blue), the complementary of one primary will be the mixture of the other two primaries (complementary of red will be a mixture of yellow and blue, or green). When placed next to one another, complementary colors will make each other appear much more intense, sometimes in an "eye-popping" sense, which was utilized by Op artists of the 1960's to create optical effects. Also in color theory, an object's primary color has its complementary color in its shadows (e.g., the shadows on and around a painted yellow apple will contain some purple).

abstract/abstraction - Abstract means the modification of a (usually) natural form by simplification or distortion. Abstraction is the category of such modified images. (See also non-objective.)

composition - The process of arranging the forms of two- and three-dimensional visual art into a unified whole, by means of elements and principles of design, such as line, shape, color, balance, contrast, space, etc., for purposes of formal clarity and artistic expression.

cool colors - In color theory, colors are described as either warm, cool, or neutral. A cool color generally is one which contains a large amount of blue, as opposed to a warm color, which will contain more yellow. In theory, cool colors seem to recede in space, as the distant mountains or hills tend to appear light bluish-gray, and the closer ones will be more green or brown (warmer). In landscape paintings, artists often paint the distant hills in this pale blue color; and it is generally thought that cool colors will recede into space in any painting. However, color is a complex element, and colors often misbehave - it is usually best to go on a case-by-case basis, because colors are influenced greatly by what colors they are next to, appearing "warm" in one setting, and "cool" in another. (I recommend reading the abbreviated version of The Interaction of Color, by Josef Albers, for his ideas and exercises.)

local color - The actual color of a form or object, uninfluenced by the effects of light or reflected color. For instance, a vase may be turquoise (the local color), but appear pale blue because of sunlight hitting it in certain places; dark blue because of areas in shadow; and many subtle color shades in certain areas because of reflected light from surrounding surfaces.

 

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