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Can
my students use appropriate strategies in solving problems.
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Some
common problem-solving strategies are:
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Appropriate
for Grade K-3
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Example Grade K-3:
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There
are six pennies in a row. Every
other penny is replaced with a nickel.
Then every third coin is replaced with a dime.
Then every fourth coin is replaced with a quarter.
How much money is in the row.
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VI-2.1
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Example Grade 3-4:
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Horses
to Ride
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VI-2.1
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A
riding stable owner has the following kinds of horses and ponies:
Arabian mare, Appaloosa stallion, Palomino pony, Arabian
pony, Palomino mare, Pinto stallion, Appaloosa mare, Palomino
stallion, Pinto pony, and Arabian stallion.
If he wants to have mounts of every size and breed
combination, what types of horses or ponies should he obtain.
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Stop
reading and solve the problem by making a table.
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By
constructing the table according to horse size versus horse breed,
we can enter the problem information and better determine what
horses he has and the ones he needs.
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Breed/Size
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Stallion
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Mare
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Pony
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Arabian
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x
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x
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x
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Appaloosa
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x
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x
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Palomino
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x
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x
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x
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Pinto
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x
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x
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We
can now easily see that the man needs an Appaloosa pony and a
Pinto mare.
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Example Grade 5-6:
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You
need 17 lbs. of fertilizer.
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VI-2.5
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What
do you buy to obtain at least that amount at the lowest cost?
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To
obtain the smallest amount equal or slightly exceeding 17 lbs. of
fertilizer using 3-lb and 5-lb quantities, we can list these
possibilities: four
5-lb bags; three 5-lb and one 3-lb bags; two 5-lb and three 3-lb
bags; one 5-lb and four 3-lb bags; or six 3-lb bags.
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5-lb
bags
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Cost
@$3.25
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3-lb
bags
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Cost
@$2.29
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Total
Amount
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Total
Cost
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4
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$13.00
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20
lb.
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$13.00
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3
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$
9.75
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1
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$
2 .29
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18
lb.
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$12.04
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2
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$
6.50
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3
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$
6.87
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19
lb.
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$13.37
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1
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$
3.25
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4
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$
9.16
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17
lb.
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$12.41
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6
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$13.74
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18
lb.
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$13.74
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Example
Grade
7-8:
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Solve
the following problems using an appropriate strategy.
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VI-2.3
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i.
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How
many line segments can be drawn between any pair of points in this
figure?
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VI-2.1
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ii.
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How
many pairs of people can you make from a group of five people?
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I-1.3
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iii.
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When
you represent the first five triangular
numbers with dots, how many dots do you need for each step?
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I-1.1
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iv.
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How
are the above three problems related to finding the sum of the
first 5, 6, 7, 8, 9, or 10 counting numbers?
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Problem
Solving……….. A Basic Goal
Ohio Department of Education
*Problem Solving Strategies is not a separate category in the
“Michigan Curriculum Framework for Mathematics”, but the
content appears in other strands.
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