E.P.S.E Problem Solving Model

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Transcript E.P.S.E Problem Solving Model

E.P.S.E
Problem Solving Model
•Explore
•Plan
•Solve
•Examine
E.P.S.E
Problem Solving Model
Explore – Fact Finding.
1)Read the whole problem carefully.
Reread if necessary.
2)What facts do you know? (List them.)
3)What do you need to find out? (Write
Plan – How will I solve this problem?
the question.)
1)Explain what strategy or strategies you
will use to solve the problem without
using numbers or number words.
2)Estimate when appropriate using your
strategy. (You may use numbers here.)
Solve – Find the answer.
Examine – Show the problem is
1)Use your plan to find the answer.
2)Show all your work.
3)Rewrite the question(s) using the
answer. (As a sentence.)
4)Circle the answer sentence.
reasonable.
1)Did you answer the right question(s)?
2)Does my answer make sense?
· Compare the estimate to your
EXAMPLE!!
answer.
· Reverse the operation(s) / Solve
Backwards…
· Use common sense!
Explore – Fact Finding
1. Read the whole problem
carefully. Reread if necessary.
2. What facts do you know?
(List them.)
3. What do you need to find
out? (Write the question.)
Plan – How will I solve this problem?
1. Explain what strategy or
strategies you will use to solve the
problem without using numbers or
number words.
2. Estimate when appropriate using
your strategy. (You may use
numbers here.)
Solve – Find the answer
1. Use your plan to find the answer.
2. Show all your work.
3. Rewrite the question (as a sentence.)
using the answer.
4. Circle the answer in the sentence.
Examine – show the problem
is reasonable
1. Did you answer the right
question(s)?
2. Does my answer make sense?
•Compare the estimate to your answer
•reverse the operation(s)/solve backwards
•use common sense!
E.P.S.E
Problem Solving Model
• Now let’s practice!! 
• Take a sheet or use spiral for notes 
• Draw 4 quadrants
Like this
E
P
S
E
• Use the EPSE model to solve the
following word problem:
The Farells want to buy a VCR
that costs $460. They plan to
make a down payment of $100
and pay the rest in eight equal
payments. What will be the
amount of each payment?
Explore
Plan
Facts: VCR cost $460; make
down payment of $100; pay
rest in 8 equal payments
Need to find:
What will be the amount of
each payment?
Solve
Strategy:
Subtract down payment from
the cost; then divide into equal
payments
Estimate: (when appropriate)
($500 – $100) ÷ 8 = $50
Examine
Show work:
460 – 100 = 360
360 ÷ 8 = 45
Word sentence:
The amount of
each payment
will be $45.
Did I answer the right question?
yes
Compare actual answer & estimate
Actual: $45 Estimate: $50
Does my answer make sense?
Yes, because $45 x 8 = $360
and $360 + $100 = $460 and
that’s how much the VCR cost.
Mulitiplication w/
decimals
Gwenyth walks her dog each
morning. If she walks 0.37
kilometers each morning, how
many kilometers will she have
walked in 7 days?