How much is shaded?

Record an estimate that is:

Priya and Mai use these diagrams to find the value of .

Priya’s diagram

Mai’s diagram

1. How are the diagrams alike?
2. How are they different?

3. Find the value that makes the equation true.

4. Han draws this diagram to represent . How does his diagram show ? Explain or show your reasoning.

   

5. Find the value that makes the equation true. Explain or show your reasoning.

1. Find the value of . Explain or show your reasoning.

2. Noah is trying out Mai’s diagram for this problem. Here is his work.

   

   , because I divided into 2 equal parts and of is shaded in.

   1. What questions do you have for Noah?
   2. Noah’s equation is incorrect. How can Noah revise his explanation?

1. Find the value that makes each equation true. Use a diagram if it is helpful.

2. What patterns do you notice?

3. How would you find the value of divided by any whole number? Explain or show your reasoning.