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Hexaflexagon Exploration

Explore the fascinating world of hexaflexagons with this engaging worksheet designed for 6th graders. Learn about their construction, faces, and properties through hands-on activities and critical thinking.

Grade 6 Math GeometryHexaflexagons
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.6.G.A.1CCSS.MATH.CONTENT.6.G.A.4

Topics

hexaflexagongeometrypaper craftmathgrade 6
8 sections · Free to use · Printable
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Hexaflexagon Exploration

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Follow the instructions for each section. If you need to construct a hexaflexagon, ask your teacher for materials.

1. In your own words, describe what a hexaflexagon is. What makes it unique?

2. A typical tri-hexaflexagon has how many faces that can be flexed into view?

a

2 faces

b

3 faces

c

4 faces

d

6 faces

3. A hexaflexagon is typically constructed from a strip of paper divided into a series of equilateral  .

4. When flexing a hexaflexagon, you are essentially rotating sections of the paper to reveal a new  .

5. All hexaflexagons have exactly three faces.

T

True

F

False

6. Below is a simplified diagram of a hexaflexagon strip before folding. Label the three faces (Face 1, Face 2, Face 3) on the triangles where they would appear after folding.

??????????

7. Imagine you are designing a hexaflexagon with four faces. How do you think the initial strip of paper would need to be different from a tri-hexaflexagon strip? Explain your reasoning.