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[CMP - Prime Time]11-13-2001 1. .................2. .................3. ................. 4. .................5. .................6. .................OBJECTIVE: #To recognize that a number may have several different factorizations but, except for order, each number greater than 1 has exactly one factorization into a product of primes (THE FUNDAMENTAL THEOREM OR ARITHMETIC) #To use several different strategies for finding the prime factorization of a number #To recognize primes as the building blocks of whole numbers ACTIVITIES: Review the processes of common factors and common multiples; review greatest common Factor and least common multiple. Review factor trees. Answer the Reflections questions on page 57 as assigned- Final Copies in ink! NOTES: HOMEWORK: P57 1, 2 &4 In ink
11-14-2001 1. -HWP571/2/4 ink..2. .................3. ................. 4. .................5. .................6. .................OBJECTIVE: #To use ideas about the multiplicative structure of numbers-such as primes, composites, factors, multiples and square numbers-to solve problems #To simulate a problem, gather data, make conjectures, and look for justification for those conjectures #To reason mathematically and to communicate ideas clearly. ACTIVITIES: Students will work in groups of three to develop a process for enacting and dealing with the locker problem on page 58. Check on writing the questions and providing solutions to those questions and the follow-up questions. NOTES: HOMEWORK: Page 61 1-7
A Thousand Lockers Imagine you are at a school that still has student lockers. There are 1000 lockers, all shut and unlocked, and 1000 students.
Here's the problem:
- Suppose the first student goes along the row and opens every locker.
- The second student then goes along and shuts every other locker beginning with number 2.
- The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it.)
- The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the thousand students have followed the pattern with the thousand lockers.
At the end, which lockers will be open and which will be closed? Why?
11-15-2001 1. -HW61 1-7........2. .................3. ................. 4. .................5. .................6. .................OBJECTIVE see 11-14: ACTIVITIES: Continue on locker problem. NOTES: HOMEWORK:62-63 9/10/12/14 Problem 16 on page 63 can be done as extra credit.
11-16-2001 1. -HW62-3 various..2. =Locker results..3. ................. 4. .................5. .................6. .................OBJECTIVE: See 11-14 ACTIVITIES: Present locker problem results. NOTES: HOMEWORK: P63 17-19
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