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Rob Schupbach                                                                Problem #3
CRIN E07: Elementary Math Curriculum and Instruction
Dr. Margie Mason/Ms. Rachael Cofer
September 23, 2011

Topic: Measurement: Perimeter and Area—Grade 5 (SOL 5.8 a, b)

Expected Heuristics: Use a picture; Use logical reasoning; Use equations and
formulas

More for the Floor

Nika is selecting floor tiles for her room in her family's new house. No tiles will be
put down in the closets. Each tile is 1 foot square and costs $0.60. All the
intersecting sides of the tiles meet at right angles.




             How much will the tiles cost if there are no tiles left over?

Answer: Cost: $105.60

Complete Solutions: There are 176 ft². Since each tile is 1 ft², 176 tiles are
needed.

Multiply: 176 x $0.60 = $105.60, the cost of the tiles.

Here is another way to solve the problem.

      Find the total area of the room: 15 ft x 14 ft = 210 ft².
      Find the total area of the two closets: 6 ft x 3 ft = 18 ft², the area of one
       closet; 4 ft x 4 ft = 16 ft², the area of the other closet.
       The total for both closets is 18 ft² + 16 ft², or 34 ft².
      Subtract: 210 ft² − 34 ft² = 176 ft² of floor space, or 176 tiles needed.
      Multiply: 176 x $0.60 = $105.60, the cost of the tiles.
Rob Schupbach                                                       Problem #3
CRIN E07: Elementary Math Curriculum and Instruction
Dr. Margie Mason/Ms. Rachael Cofer
September 23, 2011


Houghton Mifflin Math. (2011). Retrieved September 23, 2011, from

      http://www.eduplace.com/kids/mw/g_5.html

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Problem 3

  • 1. Rob Schupbach Problem #3 CRIN E07: Elementary Math Curriculum and Instruction Dr. Margie Mason/Ms. Rachael Cofer September 23, 2011 Topic: Measurement: Perimeter and Area—Grade 5 (SOL 5.8 a, b) Expected Heuristics: Use a picture; Use logical reasoning; Use equations and formulas More for the Floor Nika is selecting floor tiles for her room in her family's new house. No tiles will be put down in the closets. Each tile is 1 foot square and costs $0.60. All the intersecting sides of the tiles meet at right angles. How much will the tiles cost if there are no tiles left over? Answer: Cost: $105.60 Complete Solutions: There are 176 ft². Since each tile is 1 ft², 176 tiles are needed. Multiply: 176 x $0.60 = $105.60, the cost of the tiles. Here is another way to solve the problem.  Find the total area of the room: 15 ft x 14 ft = 210 ft².  Find the total area of the two closets: 6 ft x 3 ft = 18 ft², the area of one closet; 4 ft x 4 ft = 16 ft², the area of the other closet. The total for both closets is 18 ft² + 16 ft², or 34 ft².  Subtract: 210 ft² − 34 ft² = 176 ft² of floor space, or 176 tiles needed.  Multiply: 176 x $0.60 = $105.60, the cost of the tiles.
  • 2. Rob Schupbach Problem #3 CRIN E07: Elementary Math Curriculum and Instruction Dr. Margie Mason/Ms. Rachael Cofer September 23, 2011 Houghton Mifflin Math. (2011). Retrieved September 23, 2011, from http://www.eduplace.com/kids/mw/g_5.html