This set of cards can be used to challenge students to think about the concept of using u-substitution with definite integrals.
Suggestions for working with the cards:
1. Post the cards around the classroom (either a set of 10 problems hearts, 10 problems clubs or 20 problems diamonds). The 10 set of hearts problems focus on using u-substitution with composite functions and the 10 set of clubs problems focus on using u-substitution involving negative substitution with composite functions. When you use the 20 diamonds problems you will get both sets of integrations.
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 their 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. The goal would be to complete as many questions as they can in the allotted amount of time.
4. Awards can be given for the number of problems completed by each student.