example 1 recognizing and extending a pattern scheduling events you are a member of a summer movie...
TRANSCRIPT
EXAMPLE 1 Recognizing and Extending a Pattern
Scheduling Events
You are a member of a summer movie club at your local movie theater. The club meets every Wednesday in July to watch a movie. The first meeting is on July 6. On what other dates in July will the club meet?
EXAMPLE 1
To answer the question about the summer movie club above, start with July 6th and repeatedly add 7 days to the date.
Date of second meeting:
Date of third meeting:
Date of fourth meeting:
July 6
July 13
July 20
July 27
+7
+7
+7
Date of first meeting:
Recognizing and Extending a Pattern
EXAMPLE 1
ANSWER
The club will meet on July 13, July 20, and July 27.
Recognizing and Extending a Pattern
EXAMPLE 2 Extending a Numerical Pattern
Describe the pattern: 2, 7, 12, 17, . . . . Then write the next three numbers.
+5 +5 +5
2, 7, 12, 17, 22, 27, 32,…
+5 +5 +5
The pattern is add 5. The next three numbers are 22, 27, and 32.
ANSWER
EXAMPLE 3
Describe the pattern: 2, 6, 18, 54, . . . . Then write the next three numbers.
3 3 3
2, 16, 18, 54, 162, 486, 1458,…
3 3 3
The pattern is multiply by 3. The next three numbers are 162, 486, and 1458.
ANSWER
Extending a Numerical Pattern
GUIDED PRACTICE for Examples 1, 2, and 3
1. Bus Schedule
A city bus drives by your house every 40 minutes during the afternoon. The first time you see the bus is at 2:20 P.M. At what other times will you see the bus before 5:00 P.M.?
3:00 P.M., 3:40 P.M., 4:20 P.M.ANSWER
GUIDED PRACTICE
Describe the pattern. Then write the next three numbers.
Subtract 4 from the previous number: 12, 8, 4.
ANSWER
2.
28, 24, 20, 16, …
3.
256, 128, 64, 32, …
Divide the previous number by 2: 16, 8, 4.
ANSWER
for Examples 1, 2, and 3