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The Problem With Problem Solving

By Jessica Smith
Meet the Author

"How do mathematicians communicate their ideas to each other and to the public? If math is just numbers and symbols, how can we talk about math?"
 Overview


 Understandings & Objectives


 Contents
Strategy: Patterns


 At A Glance




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Strategy: Patterns

Instructional Time: 1 hour a day for 2 days

#9
USE OR LOOK FOR A PATTERN
Each winter the elephant seals return to Ano Nuevo State Park on the California coast.  On the first day of their return, rangers count 5 elephant seals lying on the beach.  On the second day, 6 more seals arrive.  On the third day, 7 more seals arrive.  Each day the number of seals that arrive increases by one more than the number of seals that arrive the day before.  At this rate, how many seals will be on the beach at the end of the eighth day?

#34
USE OR LOOK FOR A PATTERN
Robia’s favorite part of the new indoor mall is the beautiful brass and glass sculpture between the two escalators in the center of the mall.  Robia likes to ride up one escalator and down the other and look at the sculpture, as it rotates in the light.  The top part of the sculpture is one brass and glass cube.  The second part of the sculpture has eight cubes.  The third part has 27 cubes.  The fourth part has 64 cubes.  If the parts keep increasing in the same way, how many cubes are in the sixth and bottom part of the sculpture?