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Nelson Education > School > Mathematics K-8 > Math Focus > Grade 9 > Parent Centre > Web Quests > Chapter 8
 

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Chapter 8: Symmetry

The Effect of Symmetry

INTRODUCTION

Line symmetry and rotation symmetry are used in art, in design, and in structures. They also exist in nature. Some pictures or shapes are almost, but not quite, symmetrical.

 

THE TASK

Your task is to find and describe examples of line symmetry and of rotation symmetry. Then you will create a design with both line symmetry and rotation symmetry for an event or location. You will explain your strategies for creating the design, and describe the effect of symmetry in your design.

 

THE PROCESS

  1. Choose two examples of shapes or pictures with line symmetry from these websites.
  • Copy the two examples of line symmetry. Draw the lines of symmetry for each.
  • Identify the number of lines of symmetry.
  • Describe the visual effect of the symmetry.
  • Are they pictures exactly symmetrical or almost? Explain.

Art, Baskets, Musical Instruments, Beadwork, Masks

Prints

Haida Art

Totem Poles

Haida Houses

British Columbia Flag

Franco-Yukonnais Flag

  1. Choose two examples of shapes or pictures with rotation symmetry from these websites.
  • Copy the two examples of rotation symmetry. Identify the order of rotation symmetry and the angle for rotation symmetry for each.
  • For each, describe the visual effect of the symmetry. Explain.
  • Do either of the two pictures also have line symmetry? Explain.
  • Are they pictures exactly symmetrical or almost? Explain.

Wind Turbines

Snowflakes

Quilt

M. C. Escher Art

Butterflies

Starfish

Water Wheels

Rugs

Fractals

Frieze Patterns

  1. Are symmetry and balance connected? Use examples of symmetry from the above websites to explain your answer.

Balance and Symmetry

Symmetrical Balance

Balance in Art

  1. Create a design with line symmetry and rotation symmetry for the Dinosaur Provincial Park, Festival du Voyageur, or Yukon Quest. Include some art in your design that is almost symmetric, but not quite. Use square dot paper, triangle dot paper, a coordinate grid on grid paper, or plain paper.

Festival du Voyageur

Yukon Quest

Dinosaur Provincial Park

  1. Explain your strategy for creating the design. How do you know that your design has line symmetry and rotational symmetry? How is your design connected with the place or event that you chose? What is the visual effect of the symmetry?
  2. Share your design and your explanations with classmates. Talk about whether they agree with what you said about your design.

 

Mathematical Processes

Work meets standard of excellence

Work meets standard of proficiency

Work meets acceptable standard

Work does not yet meet acceptable standard

Communication

Uses effective and specific mathematical language and conventions to enhance communication about line symmetry and rotation symmetry, and about designs

Uses appropriate and correct mathematical language and conventions to support communication about line symmetry and rotation symmetry, and about designs

Uses mathematical language and conventions to partially support communication about line symmetry and rotation symmetry, and about designs

Uses mathematical and non-mathematical language and conventions incorrectly and/or inconsistently, which interferes with communication about line symmetry and rotation symmetry, and about designs

Connections

Makes insightful connections between pictures/designs and symmetry

Makes meaningful connections between pictures/designs and symmetry

Makes simple connections between pictures/designs and symmetry

Makes minimal or weak connections between pictures/designs and symmetry

Visualization

Uses a visual representation to demonstrate a thorough understanding of line symmetry and rotation symmetry

 

Uses a visual representation meaningfully to demonstrate a reasonable understanding of line symmetry and rotation symmetry

 

Uses a visual representation simply to demonstrate a basic understanding of line symmetry and rotation symmetry

 

Uses a visual representation poorly to demonstrate an incomplete understanding of line symmetry and rotation symmetry

 

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