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Exploring Hexaflexagons

A worksheet for 7th graders to explore the geometry and properties of hexaflexagons through questions and drawing exercises.

Grade 7 Math GeometryHexaflexagons
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Includes

TextFill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2CCSS.MATH.CONTENT.7.G.A.3

Topics

hexaflexagonsgeometrymathgrade7
8 sections · Free to use · Printable
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Exploring Hexaflexagons

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Use the provided space for your responses and drawings.

What is a Hexaflexagon?

A hexaflexagon is a flat model, usually made of paper, that can be folded or 'flexed' to reveal different faces. The simplest type is a trihexaflexagon, which has three faces and is constructed from a strip of paper divided into ten equilateral triangles.

1. A hexaflexagon is a flat model, usually made of  , that can be folded or 'flexed'.

2. The simplest type of hexaflexagon is called a  .

3. A trihexaflexagon typically has   faces.

4. What shape are the individual sections that make up a trihexaflexagon strip?

a

Squares

b

Rectangles

c

Equilateral Triangles

d

Circles

5. Draw a strip of ten equilateral triangles that could be used to construct a basic trihexaflexagon. Label each triangle with a number from 1 to 10.

6. All hexaflexagons have only three faces.

T

True

F

False

7. In your own words, explain what makes a hexaflexagon unique compared to a standard folded piece of paper.