Problem
Solving
"When
is a problem not a problem?
When
you know the answer!!!
"
| Strategy | Sample
problem |
| 1.Draw a picture,
act it out, use models. |
Some acrobats are
planning a new act. They
want to build a human pyramid 5 people wide and 5 people high. How many
acrobats will they need for their act? Jane wants a 16-foot length of 2 x 4 wood cut into eight equal 2-foot lengths. The lumber yard charges 60 cents for cutting a piece of wood into 4 equal pieces. How much will it charge Jane?
|
| 2. Look for a
pattern |
Would
you rather have $100 a day for a month or $1 on the first day and double
it each day thereafter for a month? How long would it
take to spread a rumor in a town of 90,000 people if every person who
heard the rumor told it to 3 new people every 15 minutes?
|
| 3. Construct a table
or chart. |
One day farmer Brown
was counting her pigs and chickens.
She noticed that the pigs and chickens together had 60 legs. If she had
22 animals (pigs and chickens) altogether, how many of each did she
have? A local Ben and
Jerry’s sells 15 flavors of ice cream. You can order your ice-cream in
a sugar cone, a waffle cone or a dish. How many different options do you
have?
|
| 4. Make an organized
list. |
Mary has 3 four cent
stamps and 4 three cent stamps. What different amounts of postage can
she make with these stamps? A
3lb bag of sugar
costs $2.79. A 5lb bag costs $3.98. How many bags of each would you buy
to get the best deal on a total of at least 28lbs?
|
| 5. Work backwards |
If two whole numbers
have the sum of 18 and the product
of 45, what are the numbers? Dave, yes Dave,
baked some cookies. He put half of them away for the next
day. He divided the remaining cookies equally between three
friends so each got 4. How many
cookies did he bake?
|
| 6. Use logical
reasoning |
Tom, Julie and Harry
work in a bank. One is the manager, one is the teller and one is the
cashier. The teller, an only child earns the least. Harry, who married
Tom’s sister, earns more than the manager. What job does each have?
|
| 7. Write a sentence
or equation |
An ant walks 33 cm.
in walking completely around the edge of a rectangle. If the rectangle is twice as long as it is wide, how long is each side? 2/3 of a number is
24. Half the number is 18. What is the number?
|
| 8. Try a simpler
problem or analog |
How thick is a sheet
of paper? Find the answer using a ruler as your measuring instrument.
|
| 9. Guess. and check |
Marge hit the
dartboard with 3 darts. Each dart hit a different
number and her total core was 25. What numbers might she have hit to
make that score? Place the numbers 1
through 9 in the cells of a 3 x 3 square so that the sum in each direction is
15.
|
Last updated April 6, 2004
For more
information contact Tim Whiteford at: