Pattern block star challenge
Pattern block star challenge
Find the angles of a trapezoid, triangle, parallelogram, and see if they make a perfect circle.
What is the ratio of blocks in the pattern? O:R:G:W
What are the angles of all the shapes and lengths of their sides?
Directions
Find the angles of all the shapes, draw them below, and label them.
Work area:
The angles of the orange square.
The angles of the red trapezoid.
The angles of the green triangle.
The angles of the white parallelogram.
Write an arguement for one the following conjectures:
The pattern blocks don't fit together precisely, because the blocks aren't made precisely enough for the shapes to fit together precisely. However, the white parallelograms angles could be made so that they could add up to 360 degrees.
or
They pattern blocks are made okay. Howver, it's not possible to put the white parallelograms into a circle, because their angles can't add up to 360 degrees.
Hints:
Use what you know about shapes, label the angles you know (square, equilateral triangle, ...) and reason from one to another to a circle.
How many white parallelograms are in the circle? Is that a factor of 360?
More star pattern challenges:
- Verify if the angles of the corners in the orange red circle adds up to 360 degrees.
- Verify if the angles of the corners in the green white circle adds up to 360 degrees.
- Determine the length of all the sides of the pattern blocks.
- Determine the circumfernce of the orange red circle.
- Determine the circumfernce of the green white circle.