This set of cards can be used to review the concept of optimizing a function. This would be a great activity for students in Calculus and AP Calculus classes.
Each card has a problem written in black and an answer to another problem (in the magnifying glass). By using the 10 cards that have a ♡ at the bottom or you use the 10 cards with a ♧ you will have 10 cards scavenger hunt. If you use the 20 cards with a ♢ you will have a combined scavenger hunt with 20 cards.
Suggestions for working with the cards:
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. If you are using a 10 card set with a larger class you may want to make more than one copy of each question.
Assign different students to start at different numbers. Distribute copies of the recording sheet to each student. Students should record the number of the card they are working on in the small square at the top left of the grid. When the work on the problem is complete, they then go on a scavenger hunt to find the card with their answer in the bottom right corner, in the magnifying glass 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.
The goal would be to complete as many questions as they can in the allotted amount of time.
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.
Awards can be given for the number of problems completed by each student.
This activity will get you students out of their seats and moving around the room.
A complete set of solutions is provided that the teacher can use with any student who may be having difficulty solving a problem.
Another way to use the cards is to pair the students up so two students are working together to solve a scavenger hunt.
Comments from buyers:
Great range of problems, thank you!
Great way to get students to do several optimization problems without realizing it. Thank you!
Fun activity. Gets the kids up and engaged. It is not a short activity though. Leave a good 45 minutes for the shortened piece. A full block of 90 minutes for the long piece of the activity.