lesson 2-3 objective: solve problems by looking for a pattern. problem-solving strategy: look for a...
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Lesson 2-3Objective: Solve problems by looking
for a pattern.
Problem-Solving Strategy: Look for a pattern
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.Explore Sara worked 30 min per problem set.
Time worked number of problems worked1st 30 min 32nd 30 min 43rd 30 min 64th 30 min 9
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.Explore Sara worked 30 min per problem set.
Time worked number of problems worked1st 30 min 32nd 30 min 43rd 30 min 64th 30 min 9
Plan Look for a pattern.
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.Explore Sara worked 30 min per problem set.
Time worked number of problems worked1st 30 min 32nd 30 min 4 increased by 13rd 30 min 64th 30 min 9
Plan Look for a pattern.
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.Explore Sara worked 30 min per problem set.
Time worked number of problems worked1st 30 min 32nd 30 min 4 increased by 13rd 30 min 6 increased by 24th 30 min 9
Plan Look for a pattern.
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.Explore Sara worked 30 min per problem set.
Time worked number of problems worked1st 30 min 32nd 30 min 4 increased by 13rd 30 min 6 increased by 24th 30 min 9 increased by 3
Plan Look for a pattern.
2-6 Problem-Solving Strategy: Look for a Pattern
ExampleSara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.Explore Sara worked 30 min per problem set.
Time worked number of problems worked1st 30 min 32nd 30 min 4 increased by 13rd 30 min 6 increased by 24th 30 min 9 increased by 3
Plan Look for a pattern. The difference between numbers increases by 1 each time.
2-6 Problem-Solving Strategy: Look for a Pattern
Solve Problems worked: 3 4
Time worked: 1hr
2-6 Problem-Solving Strategy: Look for a Pattern
Solve Problems worked: 3 4 6 9
Time worked: 1hr 2hr
2-6 Problem-Solving Strategy: Look for a Pattern
Solve Problems worked: 3 4 6 9 13 18
Time worked: 1hr 2hr 3hr
2-6 Problem-Solving Strategy: Look for a Pattern
Solve Problems worked: 3 4 6 9 13 18 24 31
Time worked: 1hr 2hr 3hr 4hr
2-6 Problem-Solving Strategy: Look for a Pattern
Solve Problems worked: 3 4 6 9 13 18 24 31
Time worked: 1hr 2hr 3hr 4hr3 + 4 + 6 + 9 + 13 + 18 + 24 + 31 =
Problems worked: 3 4 6 9 13 18 24 31
Time worked: 1hr 2hr 3hr 4hr3 + 4 + 6 + 9 + 13 + 18 + 24 + 31 = 108 problems
2-6 Problem-Solving Strategy: Look for a Pattern
Solve
Problems worked: 3 4 6 9 13 18 24 31
Time worked: 1hr 2hr 3hr 4hr3 + 4 + 6 + 9 + 13 + 18 + 24 + 31 = 108 problems
2-6 Problem-Solving Strategy: Look for a Pattern
Solve
Examine Do the number of problems worked each half hour follow the pattern?
63, 48, 35, 24, . . . . . .
2-6 Problem-Solving Strategy: Look for a Pattern
Write a rule to find the successive terms in the pattern.
63, 48, 35, 24, . . . . . .
2-6 Problem-Solving Strategy: Look for a Pattern
Write a rule to find the successive terms in the pattern.
The number decreased by 15, then 13, then 11, so the next number should decrease by 9 and then by 7. The number subtracted decreases by two each time.
2-6 Problem-Solving Strategy: Look for a Pattern
The pattern of numbers, 1, 1, 2, 3, 5, 8, . . . . ., is called the Fibonacci sequence. The terms of the sequence are called the Fibonacci numbers. List the first ten Fibonacci numbers.
2-6 Problem-Solving Strategy: Look for a Pattern
Find a pattern for the following numbers.
1, 3, 5, 8, 11, 15, 19, . . . . . .
2-6 Problem-Solving Strategy: Look for a Pattern
Find a pattern for the following numbers.
1, 3, 5, 8, 11, 15, 19, . . . . . .
Pattern: +2, +2, +3, +3, +4, +4, +5, +5, . . .
Thanks