Inductive and Deductive Reasoning Project. This handout is ... Rob, Yu, and
Wynn challenged each other to create a number trick that ended with the number
of ...
Name: __________________________ Inductive and Deductive Reasoning Project This handout is a summative assessment, and will be worth 20% of your chapter grade. Answer all of the questions completely and show work in order to receive full grades.
Rob, Yu, and Wynn challenged each other to create a number trick that ended with the number of siblings they have. Their number tricks are given below. Robʼs Trick - choose a number - add 3 - multiply by 2 - subtract 2 - multiply by 5 - divide by 10 - add 3 - subtract the starting number
Wynnʼs Trick
- choose a number - multiply by 4 - add 8 - divide by 4 - subtract the starting number Yuʼs Trick - choose a number - subtract 2 - multiply by 0 - divide by 5
1. How many siblings do Rob, Wynn and Yu each have?
2. Create a number trick that always ends with the number of siblings you have. Use at least three different operations (addition, subtraction, multiplication and division) and at least four steps. Show a test for your number trick to make sure that it works.
3. Trade your number trick with a neighborʼs trick. Write down the steps of their trick here, and test their trick at least three times.
4. Make a conjecture about the number of siblings your neighbor has.
5. Use deductive reasoning to develop a proof of your conjecture (follow the steps for any number n).
6. Are there any numbers that will not work for your number trick? Explain.
