Dots can be arranged to form diamonds. Here are the first three diamond patterns.

A. Make a drawing of the next diamond pattern. Hand that in the basket for me to look at. 1 pt.

B. How many dots will be in the sixth diamond pattern? 1 pt

C. Make a table with data up to and including diamond 6 and hand that in with your drawing. 1 pt

D. Could a diamond pattern have 70 dots? Explain why or why not. 2 pts

E. How many dots would be in the nth diamond pattern? Clearly explain your process. 2 pts

Geometry #21

The following list contains the results Yvonne got when she rolled three number cubes simultaneously and recorded the numbers appearing on the three faces.

a. (1,3,3)
b. (5,3,4)
c. (4,6,2)
d. (4,3,2)

If each set of three numbers was used as the lengths of the sides, could Yvonne always make a triangle? Explain how you know. Be sure to use mathematical language in your explanation.