This set of cards can be used to challenge students to think about the concept of optimizing a function.
Suggestions for working with the cards:
1. Post the cards around the classroom (either a set of 10 problems ♡, 10 problems ♧ or 20 problems ♢). The 10 set of ♡ problems focus on optimizing a function that related to a graph of a function and the 10 set of ♧ problems focus on optimizing a function that is related to a real world problem. When you use the 20 ♢ problems you will get both optimization problems.
2. Assign different students to start at different numbers. Distribute copies of the students recording sheet. Students can record the number of the problem they are working on in the small rectangle in each section of the recording sheet. When the work on the problem, they then go on a scavenger hunt to find the card with their answer in the bottom right corner of a new card. If they can’t find there answer they need to check their work again. When they find their answer on a card, they record that number in the next square and solve the new problem. Students keep working on problem for the allotted time.
3. Two cards have been designated at Graphing Calculator Problems. With these problems decimal answers with more than 3 decimal places have been rounded to three decimal places. On all other cards the answers be exact answers such as π/2 and not 1.571. Any calculations with numbers will be easy to complete by hand.
4. The goal would be to complete as many questions as they can in the allotted amount of time.
5. Awards can be given for the number of problems completed by each student.