1. 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?

2. 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 Date of first meeting: Recognizing and Extending a Pattern

3. EXAMPLE 1 ANSWER The club will meet on July 13, July 20, and July 27. Recognizing and Extending a Pattern

4. 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

5. 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

6. 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

7. 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