Are they possible?

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Students examine some isometric drawings that seem to be impossible and investigate one way artist M.C. Escher used to create these “impossible” figures.

Students will:

Examine isometric drawings that seem to be impossible.
Investigate one way Escher used to create these figures.

NCTM Standards and Expectations covered by this lesson include:

Recognizing and applying geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 6

Goal 3: Geometry -The learner will understand and use properties and relationships of geometric figures in the coordinate plane.
- Objective 3.03: Transform figures in the coordinate plane and describe the transformation.
- Objective 3.04: Solve problems involving geometric figures in the coordinate plane.

Grade 7

Goal 3: Geometry - The learner will understand and use properties and relationships in geometry.
- Objective 3.01: Using three-dimensional figures:
  - Identify, describe, and draw from various views (top, side, front, corner).
  - Build from various views.
  - Describe cross-sectional views.

Grade 8

Goal 3: Geometry - The learner will understand and use properties and relationships in geometry.
- Objective 3.01: Represent problem situations with geometric models.

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