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