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Make a table and Look for a Pattern

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In this lesson, students learn how to simplify complex information by organizing it into tables and charts. Using a sample problem involving bikers from three towns, they explore how relationships and patterns can be unveiled through structured data. The lesson also includes a pattern recognition challenge that requires solving equations based on identified patterns. Through classwork and homework assignments, students will practice these skills, enhancing their problem-solving abilities and understanding of sequences.

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Make a table and Look for a Pattern

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  1. Make a table and Look for a Pattern Lesson 2-4

  2. Use a Chart or Make a Table • Sometimes putting information into a table with rows and columns makes it much easier to keep up with numbers or spot missing numbers in a problem. Sometimes you can even discover relationships and patterns among the information.

  3. Sample Problem • Wheels, Inc., is gearing up for its annual bicycle race. This year’s race will involve bikers from three different towns. For every eight bikers from Glendale, there will be 12 bikers from Glenbrook and nine bikers from Glenwood. If 72 bikers from Glenwood will be at the race, how many bikers from each of the other two towns will be there?

  4. Solution

  5. Look For a Pattern • Looking for patterns is often useful in solving problems. Sometimes a pattern may need to be extended or the information put into a table to reveal the pattern.

  6. Sample Problem • Detective Jones is having trouble solving his latest case. See if you can help him crack the code to the pattern below. The solution contains at least one number and operation, and it must work for each problem. • 7 ______ = 15 • 23 _____ = 31 • 47 _____ = 55 • 16 _____ = ___

  7. Solution • 7 + 8 = 15 • 23 + 8 = 15 • 47 + 8 = 55 • 16 + 8 = 24

  8. Classwork • Patterns are sequences that repeat or change in an orderly way. You can use patterns to predict the next step in solving a problem. In Crack Hacker's Safe, the player must complete a sequence of patterns to crack Hacker's safe. Homework • P 81, 1-27 ODD

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