Have you ever come across a math trick where you are asked to pick a number, then add, subtract, multiply or divide it depending on the situation, and when you were all finished the number represented something specific?
For example:
1. Pick the number of times per week you would like sleep in (more than 1, less than 8)
2. Multiply this number by 2.
3. Add 5.
4. Multiply it by 50 (do you need a calculator?)
5. If you have already had your birthday this year, add 1757... If you haven't, add 1756.
6. Now subtract the year you were born.
You should have a three digit number......... the first digit is the number of days you want to sleep in and the next 2 numbers are (do you recognize it?)... your age!
All of these problems can be represented using algebra (yes, there is a use for it!).
Can you prove this one? If so, write it down and turn it in before the test next week; it is worth an extra credit point!
I challenge you to try to write your own problem (at least 5 steps) and post it on the blog. Other students can then either prove (or disprove) your problem. Be creative - have fun!