Step 1: Begin by connecting the dots labeled “1” on the attached template to make a large triangle with equal sides.

Step 2: Choose one side of the large triangle and find the dots labeled "2". The section between these dots will form the base of a smaller triangle.

Step 3: Use these guides along with the dot labeled "3" to draw a smaller triangle with equal sides connected to the base on the big triangle. (See diagram.)

Step 4: Repeat steps 2 and 3 on the other two sides of the large triangle.

Step 5: Using the same method as steps 2-3 (but without the numbered dots as guides) to draw more triangles on each side of the new shape you just created. (See the diagram to the right.) When you're done, erase the pencil marks on the inside so it looks like the shape drawn below.

The Koch (rhymes with "Coke") Snowflake is a special repeating pattern discovered by the Swedish mathematician Helge von Koch. You begin with a triangle, and by adding smaller and smaller triangles you end up with a beautiful snowflake. Follow the instructions below to make one!

• Lower Elementary December Activity •

Make a Koch Snowflake!

1

1 12 2

2

2 2

2

3

3

3

Once you’re done with your new shape, cut out the Koch Snowflake you’ve constructed. It is helpful to fold the shape in half when cutting. Color and hang your snowflake where everyone can see it! To make your snowflake extra fancy, you can also cut out the shape outlined in the middle with the dotted line.

• Lower Elementary December Activity •

Make a Koch Snowflake!