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1.8 Finding Number Patterns                             August 24, 2011




                                Bellwork
      Write a rule for each pattern. Find the next 3 numbers
      1) 8, 11, 14, 17, . . .

      2) 3, 5, 10, 12, 24, . . .

      Draw the next picture in the pattern.
      3.


      4.

      5. 7 + 1
        8 4




HW pg. 42 #1­7, 12­17                                                     1
1.8 Finding Number Patterns   August 24, 2011




HW pg. 42 #1­7, 12­17                           2
1.8 Finding Number Patterns                                             August 24, 2011




                              Looking for a Pattern
     Example 1

     News spreads quickly at Riverdell High. Each student who hears a story
     repeats it 15 minutes later to 2 students who have not yet heard it, and then
     tells no one else.

     Suppose one student hears some news at 8:00 am.
     How many students will know the news at 9:00 am?

     1. How many students does each student tell?

     2. How long does the news take to reach the 2nd & 3rd student?




HW pg. 42 #1­7, 12­17                                                                     3
1.8 Finding Number Patterns                                       August 24, 2011




      3. How many new students will hear the news a 8:15 AM?




      4. How many 15 min periods are there between 8AM and 9AM?
         List the 15 min periods.




         Time

         Number of New Students
         Told
         Number of student who
         know




HW pg. 42 #1­7, 12­17                                                               4
1.8 Finding Number Patterns                                                  August 24, 2011




                   Check with a tree diagram to show the pattern visually.




    5. Describe 2 ways to find the number of students who will know the news at 9:15
    AM.


    6. Suppose you want to continue the pattern beyond 9:15. Would a table or tree
    diagram work better?


    7. There are 251 students in the school. By what time will every student know the
    news?




HW pg. 42 #1­7, 12­17                                                                          5
1.8 Finding Number Patterns      August 24, 2011




      HW: pg 42
      # 1 - 7 all, 12 - 17 all




HW pg. 42 #1­7, 12­17                              6

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1.8 notes

  • 1. 1.8 Finding Number Patterns August 24, 2011 Bellwork Write a rule for each pattern. Find the next 3 numbers 1) 8, 11, 14, 17, . . . 2) 3, 5, 10, 12, 24, . . . Draw the next picture in the pattern. 3. 4. 5. 7 + 1 8 4 HW pg. 42 #1­7, 12­17 1
  • 2. 1.8 Finding Number Patterns August 24, 2011 HW pg. 42 #1­7, 12­17 2
  • 3. 1.8 Finding Number Patterns August 24, 2011 Looking for a Pattern Example 1 News spreads quickly at Riverdell High. Each student who hears a story repeats it 15 minutes later to 2 students who have not yet heard it, and then tells no one else. Suppose one student hears some news at 8:00 am. How many students will know the news at 9:00 am? 1. How many students does each student tell? 2. How long does the news take to reach the 2nd & 3rd student? HW pg. 42 #1­7, 12­17 3
  • 4. 1.8 Finding Number Patterns August 24, 2011 3. How many new students will hear the news a 8:15 AM? 4. How many 15 min periods are there between 8AM and 9AM? List the 15 min periods. Time Number of New Students Told Number of student who know HW pg. 42 #1­7, 12­17 4
  • 5. 1.8 Finding Number Patterns August 24, 2011 Check with a tree diagram to show the pattern visually. 5. Describe 2 ways to find the number of students who will know the news at 9:15 AM. 6. Suppose you want to continue the pattern beyond 9:15. Would a table or tree diagram work better? 7. There are 251 students in the school. By what time will every student know the news? HW pg. 42 #1­7, 12­17 5
  • 6. 1.8 Finding Number Patterns August 24, 2011 HW: pg 42 # 1 - 7 all, 12 - 17 all HW pg. 42 #1­7, 12­17 6