Draw a Diagram and Solve a Simpler Problem

1
Draw a Diagram and Solve a Simpler Problem
COURSE 2 LESSON 5-3
A cake is shaped like a rectangle that is 13 in.
long and 9 in. wide. There is one candle at each
corner of the cake, and there are candles at
one-inch intervals along the edges of the cake.
How many candles are there in all?
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2
Draw a Diagram and Solve a Simpler Problem
COURSE 2 LESSON 5-3
(continued)
Method 1  Draw a Diagram Draw a diagram, such as
the one at the right, that allows you to see
where the candles are placed. There are 44
candles along the edges of the cake.
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3
Draw a Diagram and Solve a Simpler Problem
COURSE 2 LESSON 5-3
(continued)
Method 2  Solve a Simpler Problem Instead of
solving the problem for a 9-in. by 13-in. cake,
change the problem to a simpler one based on a
2-in. by 6-in. cake, and then on a 3-in. by 7-in.
cake.
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4
Draw a Diagram and Solve a Simpler Problem
COURSE 2 LESSON 5-3
(continued)
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5
Draw a Diagram and Solve a Simpler Problem
COURSE 2 LESSON 5-3
(continued)
There are 16 candles on a 2-in. ? 6-in. cake and
20 candles on a 3-in. ? 7-in. cake. You add 4
candles for each inch added to the length and
width of the cake. So there are 44 candles on a
9-in. ? 13-in. cake.
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6
Draw a Diagram and Solve a Simpler Problem
COURSE 2 LESSON 5-3
1. What is the sum of the first fifty odd
numbers? 2. Alan cut a log into 4 pieces in 12
minutes. How long would it take him to cut a log
of the same size into 6 pieces?
2,500
18 min
5-3