Mike says that 3/3 o his fraction model is shaded blue. ryan says that 6/6 of the same model is shaded blue. are the two fractions equivalent? if so, what is another equivalent fraction?

Yes, these fractions are equivalent. If you were to multiply the numerator and the denominator of 3/3 by 2, you would get 6/6, meaning that they are equivalent. These fractions are also equal to one whole, which is any fraction where both the top and bottom (numerator and denominator) are the same number, so 1/1, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, 8/8, etc. are all equal.

Yes, 3/3 and 6/6 are equivalent. some other equivalent fractions are:
1/1
2/2
4/4
5/5
7/7
8/8
9/9
10/10
I hope this helped you :)