1. What is the term used when a positive integer has an exclamation point behind it?
2. What is 3! representing?
3. What does the equation 7! represent?
4. What is another way to write- 4x3x2x1?
5. Say there is 1 kingdom and within that kingdom there are 2 kitchens and within each kitchen there are 3 chefs, how can we write out this problem other than 1x2x3?
6. If there is 1 pet store, and the pet store has 2 cat sections, and there are 3 workers, 4 cages and 5 cats in each section, how could we write out the factorial version of this question?
7. Write out and solve for 5!
8. Write out and solve for 8!
9. Is the number 6 in the written out version 5!
Hint: Do not multiply 5!. Simply write out 5! and state whether 6 is in equation when simply written out, not solved/multiplied.
10. The product 362,880 is the product of what factorial?
Hint: Between 1! and 10!
Answer Key
1. Factorial
2. 3x2x1- The product of all positive integers less than or equal to the integer 3
3. 7x6x5x4x3x2x1
4. 4!
5. 3!
6.5!
7. 5x4x3x2x1= 120
8. 8x7x6x5x4x3x2x1=40,320
9. No
5!= 5x4x3x2x1, 6 is not in the written out version of 5!
10. 9!
The goal of this worksheet is to aid the students in understanding the concept of factorials. This worksheet correlates with the book "Anno's Mysterious Multiplying Jar". To introduce the students to the idea of factorials I would begin by conducting a lesson on factorials. Following the lesson I would read them the book so they could see a visual of factorial work. Following the book I would release the students to work on this worksheet. The goal of this worksheet would be for me as the teacher to grasp the students understanding on the lesson. By providing a variety of factorial questions assesing the understanding of different segments of factorials, I would be able to easily navigate what areas of the lesson the students understood and what areas they were struggling with.