1. | a. | In a playground bicycle rack, there were a number of bicycles and tricycles. If the total number of wheels were 24 and there were at least one of each kind, how many of each type of bike were there? Model the problem with one of the above manipulatives. |
| b. | Suppose there were 22 bikes in total. How would your answer change? |
| c. | Suppose there were 16 bikes, how would your answer change? |
| d. | In each of the above cases, the number of tricycles is constant. Explain why this is so. |
| e. | Suppose you started with an odd number of bikes. Would the number of tricycles still always be the same? If so, what is the number and why? |
2. | Create a similar problem using another topic such as chickens and cows, birds and cats, motorcycles and cars, etc. |