Tessellations in Geometry
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"Math Salamanders Free Math Sheets"

Welcome to Math Salamanders Tessellations in Geometry sheets.

Here you will find a wide range of free printable tessellation sheets to support learning in geometry.

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Tessellations in Geometry

Here you will find our selection of Geometrical Tessellation sheets. These fun sheets will let you explore the world of tessellating shapes and create your own geometric patterns to color in.

Using these sheets will help your child to:
  • understand what a tessellation is;
  • manipulate 2d shapes to try to find a way to fit them together;
  • create and explore patterns with 2d shapes.
All the Math sheets in this section follow the Elementary Math Benchmarks.

What is a Tessellation?

A tessellation is a repeated pattern or arrangement of 2d shapes that can fill any 2d space with no gaps or overlapping edges. Tessellations can be made from single shapes on their own or using a range of shapes.

When we say that a particular 2d shape can tessellate, we mean that it can fill any 2d space with no gaps or overlapping edges on its own without needing to add any other 2d shape to fill up the gaps.

Here is an example of a tessellating pattern made from equilateral triangles:

Tessellating triangles

Here is an example of a shape which does not tessellate. The pentagons are unable to fill up the space below on the page without leaving gaps.

Non-tessellating pentagons

The tessellation sheet below explains all about tessellation in a little more detail.

Regular Tessellations

A regular tessellation is a regular polygon that tessellates. There are only 3 regular polygons which tessellate.

The sheets below contain a regular tessellation activity to see which regular polygons tessellate.

Does it Tessellate?

Tessellating Patterns

Have fun continuing these tessellating patterns. These patterns look fantastic when colored in!

More Tessellating Patternss

Here you will find our extra selection of Tessellations sheets. These fun sheets will let you explore the world of tessellating shapes and create your own geometric patterns to color in.

Using these sheets will help your child to:
  • understand what a tessellation is;
  • create and explore patterns with 2d shapes.
All the Math sheets in this section follow the Elementary Math Benchmarks.

Symmetry Worksheets

Here is our selection of free printable symmetry worksheets for 2nd and 3rd grade.

The sheets are all graded in order from easiest to hardest.

Using these sheets will help your child to:

  • learn how to reflect simple shapes in a horizontal or vertical mirror line;
  • learn how to reflect simple shapes in 2 mirror lines.

All the sheets in this section support Elementary Math Benchmarks.

Geometry Formula Sheet

Here you will find a support page packed with a range of geometric formula.

Included in this page are formula for:

  • areas and volumes of 2d and 3d shapes;
  • interior angles of polygons;
  • angles of 2d shapes;
  • triangle formulas and theorems.
This page will provide a useful reference for anyone needing a geometric formula.
 

 

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