Tesselations (HSG.CO.A.2)

A tessellation is...

• a repeating pattern 
• a repeating pattern with no overlaps
• a repeating pattern with no gaps or overlaps
• a repeating pattern with no gaps

Tags

CCSS.HSG.CO.B.6

To decide if given figures will tessellate, I look at the shape(s) __________.

• number of sides
• angle measures
• number of vertices
• size

Tags

CCSS.4.G.A.2

CCSS.4.MD.C.5

In a tessellation, the measures of the angles that meet at each vertex must add up to 360 degrees.

• True
• False

Tags

CCSS.4.MD.C.5

CCSS.4.MD.C.7

Because the angle measures of a _________ add up to 360 degrees, it can always be used to tessellate.

• Triangle
• Quadrilateral
• Pentagon
• Hexagon

This figure is a tessellation.

• True
• False

Tags

CCSS.4.G.A.2

CCSS.4.G.A.3

CCSS.4.OA.C.5

Which of the following is NOT an example of a tessellation?

• Brick wall
• Flower petals
• Bee hive
• Soccer ball

Tags

CCSS.5.G.B.4

Name three types of tessellations used by Escher in his artwork

• rotation, translation, dilation
• rotation, reflection, translation
• reflection,  dilation, translation

Would the octagon and square tessellate?

• No; two octagons and one square would not meet at each vertex
• Yes; two octagons and one square meet at each vertex
  135+135+90=360
• Yes; two octagons and one square meet at each vertex 130+130+100=360
• Yes; two octagons and one square meet at each vertex; 140+140+80=360

Tags

CCSS.4.G.A.2

CCSS.4.MD.C.5

CCSS.4.MD.C.6

CCSS.4.MD.C.7

Would the octagon and the equilateral triangle tessellate?

• Yes; two octagons and one triangle meet at each vertex; 150+150+60=360
• Yes; two octagons and one triangle meet at each vertex
  135+135+60=360
• Yes; one octagon and two triangles meet at each vertex
  135+60+60=360
• No; there is no combination of 135 and 60 that adds up to exactly 360

Tags

CCSS.7.G.B.5

Would you classify this tessellation as regular, semiregular, or neither?

• regular
• semiregular
• neither

Tags

CCSS.5.G.B.3

CCSS.5.G.B.4