Directions: The diagram shows a square and four semicircles formed using each side of the square as a diameter. What fraction of the square is shaded?

### Hint

### Hint

How can you partition the space to find the area you need?

Source: Dylan Kane

Directions: The diagram shows a square and four semicircles formed using each side of the square as a diameter. What fraction of the square is shaded?

How can you partition the space to find the area you need?

Source: Dylan Kane

Tags 7.G.4 DOK 2: Skill / Concept Dylan Kane

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets …

I’m stumped, can someone shed some light on where to start and where to partition?

Divide it into fourths and find the space between the smaller square and the quarter of a circle. Once partitioned you can see that there are eight of these empty spaces which comprise the non-shaded space.

My grade 8 students and I still don’t fully understand the answer that is given. Is there anyone who might be able to show us how they got to this answer?

Thank you!!