Can You Draw a Larger Dragon?

Teacher Lesson Plan


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This activity is aligned to NCTM Standards - Grades 6-8: Measurement, Problem Solving, Communication and Reasoning and Proof and to California Mathematics Standards Grade 7: Measurement and Geometry #1.2, 2.3 and Mathematical Reasoning #1.1, 1.2, 1.3.

As part of the Dragonwings project, students in Ms. Dunbar's and Mrs. Alejandre's Math 7 classes drew dragons. Sixteen dragon drawings were selected to use in a mathematics exercise using the idea of scale drawings and enlargement to scale.

Objectives:

  1. to facilitate
  2. to apply a scale factor of 1:4
  3. to explain the group's process

Materials:

    (for each group of four students)

  1. two Dragon Head pictures
  2. four sheets of large blank paper
  3. four sheets of quarter-inch graph paper
  4. four sheets of one-inch graph paper
  5. four rulers
  6. four pencils
  7. four colored pencils
  8. paper for note-taking

Preparation:

  1. The teacher demonstrates how to enlarge a figure using a scale factor of 1:4.
  2. The students are instructed to outline one square on the quarter inch graph paper and again one square on the one inch graph paper.
  3. The students are instructed to outline a small triangle on the quarter inch graph paper and again on the one inch graph paper.
  4. To complete the practice session the students are instructed to draw a squiggle on the quarter inch graph paper and again on the one inch graph paper using the grid to make an accurate enlargement.

Tasks:

  1. Cut the Dragon Head picture into four sections using the guidelines provided.
  2. Each student in the group is responsible for enlarging to scale one-fourth of the picture.
  3. The group will use a scale factor of 1:4 [Suggestion: Use the two different sizes of graph paper to help see the grid.]
  4. Draw your dragon head piece on your large paper.
  5. Write your group's reasoning. Use the lined paper provided.

Evaluation:

  1. Teacher observation during the group activity.
  2. The four large sheets will be combined to show one large dragon head. If they fit and look like an accurate enlargement, the task has been accomplished.

Dragon Head Pictures 1998-99:

Dragon Head One
Dragon Head Two
Dragon Head Three
Dragon Head Four
Dragon Head Five
Dragon Head Six
Dragon Head Seven
Dragon Head Eight
    Dragon Head Nine
Dragon Head Ten
Dragon Head Eleven
Dragon Head Twelve
Dragon Head Thirteen
Dragon Head Fourteen
Dragon Head Fifteen
Dragon Head Sixteen

Dragon Head Pictures 1997-98:

Suggestion: Print in color.

Dragon Head One
Dragon Head Two
Dragon Head Three
Dragon Head Four
Dragon Head Five
Dragon Head Six
Dragon Head Eight

Photographs of Student Activity:


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