Transcript E.P.S.E Problem Solving Model

E.P.S.E
Problem Solving Model
TEKS Basic Understandings
Underlying mathematical processes. Many
processes underlie all content areas in
mathematics. As they do mathematics,
students continually use problem-solving,
language and communication, and
reasoning (justification and proof) to
make connections within and outside
mathematics. Students also use multiple
representations, technology, applications
and modeling, and numerical fluency in
problem-solving contexts.
(8.14) Underlying processes and mathematical tools.
T The student applies Grade 8 mathematics to solve problems
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connected to everyday experiences, investigations in
K
other disciplines, and activities in and outside of school.
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The student is expected to:
O (A) identify and apply mathematics to everyday
experiences, to activities in and outside of school, with
B
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other disciplines, and with other mathematical topics;
E (B) use a problem-solving model that incorporates
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understanding the problem, making a plan, carrying out
T
the plan, and evaluating the solution for reasonableness;
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V (C) select or develop an appropriate problem-solving
strategy from a variety of different types, including
E
drawing a picture, looking for a pattern, systematic
guessing and checking, acting it out, making a table,
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working a simpler problem, or working backwards to solve
a problem.
E.P.S.E
Problem Solving Model
•Explore
•Plan
•Solve
•Examine
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 answer
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
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 answer 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!
The following table shows the
number of pages in novels that
Chloe read for pleasure each month
during the school year.
Month
Sept
Oct
Nov
Dec
Jan
Feb
March
April
Number
of pages
read
370 393 380 376 396 372 385 391
If Chloe read only 125 pages during
the month of May, which measure
of data changed the most, the
mean, median, or mode?
E.P.S.E
Problem Solving Model
Explore – Fact Finding.
Plan – How will I solve this problem?
Solve – Find the answer.
Examine – Show the problem is
reasonable.
EXAMPLE!
Jerome is planning to paint
the walls of a game room?
The room measures 16 ft by
25 ft and has 8 ft ceilings.
He will put 2 coats of paint
on these walls. Each gallon of
paint will cover 400 square
feet. How many gallons of
paint will he need?
E.P.S.E
Problem Solving Model
Explore – Fact Finding.
Plan – How will I solve this problem?
Solve – Find the answer.
Examine – Show the problem is
reasonable.
EXAMPLE!
Julia estimated that it would
take her 4 hours to write a
4-page report. It actually took
her only 38 minutes to write the
first page of the report. If she
keeps writing at this same rate,
by how many hours did she
overestimate the time it would
take her to complete the
report?
E.P.S.E
Problem Solving Model
Explore – Fact Finding.
Plan – How will I solve this problem?
Solve – Find the answer.
Examine – Show the problem is
reasonable.
EXAMPLE!