Solving Word Problems

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Transcript Solving Word Problems

Let’s See What You Know
What place
What is the
value is the 8 in estimated sum
345,7866?
of 56.89 +
43.09?
How do you
solve word
problems?
What are your
steps?
Solving Word Problems
Easier Than What You Think
Let’s Attack those Word Problems!
• Convergent Thinking!!
First – Read the problem carefully!
Second-Reflect and gather all clues
for your problem.
Third-Plan a strategy for solving
your problem.
Fourth-Solve your problem.
Fifth-Check your answer. Does it
make sense?
Let’s Try Some
Find the Pattern
Question: Carol has written a number
pattern that begins with 1, 3, 6, 10, 15. If
she continues this pattern, what are the
next four numbers in her pattern?
Did you read it carefully? Did you find some clues?
Now plan a strategy.
• Strategy:
1) UNDERSTAND:
What do you need to find?
You need to find 4 numbers after 15.
2) PLAN:
How can you solve the problem?
You can find a pattern. Look at the numbers. The new
number depends upon the number before it.
• 3) SOLVE:
Look at the numbers in the pattern.
3 = 1 + 2 (starting number is 1, add 2 to make 3)
6 = 3 + 3 (starting number is 3, add 3 to make 6)
10 = 6 + 4 (starting number is 6, add 4 to make 10)
15 = 10 + 5 (starting number is 10, add 5 to make 15)
New numbers will be
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36
36 + 9 = 45
Guess/Check
Question: Amy and Judy
sold 12 show tickets
altogether. Amy sold 2
more tickets than Judy.
How many tickets did each
girl sell?
• Strategy:
1) UNDERSTAND:
What do you need to find?
You need to know that 12 tickets were sold in all. You
also need to know that Amy sold 2 more tickets than
Judy.
2) PLAN:
How can you solve the problem?
You can guess and check to find two numbers with a
sum of 12 and a difference of 2. If your first guess does
not work, try two different numbers.
• 3) SOLVE:
First Guess:
Amy = 8 tickets
Judy = 4 tickets
Check
8 + 4 = 12
8 - 4 = 4 ( Amy sold 4 more tickets)
These numbers do not work!
Second Guess:
Amy = 7 tickets
Judy = 5 tickets
Check
7 + 5 = 12
7- 5 = 2 ( Amy sold 2 more tickets)
These numbers do work!
Amy sold 7 tickets and Judy sold 5 tickets.
Word Problems
Kayla balanced twice as many glasses as
Petra. Petra balanced 89 glasses fewer
than Chico. Chico balanced 230 glasses.
How many glasses did Kayla balance?
Reflect, Plan, and Solve
Clues
Plan
Solve
Kayla – 2 times as Petra
Petra- 89 less than Chico
Chico- 230
Seems to be a pattern…..
Or guess and check….
Chico 230-89 equals Petra
Then Petra times 2 equals
Kayla
230-89 =141
How many did Kayla balance?
141 x 2 = 282
Kayla balanced 282
glasses. Does that make
sense??
Let’s Try
• Ted Hoz has the world’s largest collection
of golf balls. If he has room for 31, 886
more golf balls. How many can Ted have
altogether?
• He has 5,000 golf balls now.
You Tell ME!!
Tiered Assignment
• Tier 1
• Tier 2
Eleven- year old Leila and her 2
younger brothers are touring the
city of San Antonio with their
grandmother and grandfather.
They are window-shopping in front
of a clothing store. Adult T-shirts
cost $7.50 each. Children’s Tshirts cost $5.00 each.
What would be the cost of the T-shirts
for the entire group?
• Darren arrived at his new job at
8:00 am. After he got up, it took him 10
minutes to shower and get dressed, 15
minutes to eat breakfast, 7 minutes to
Walk his sister to the day-care center, and
then 11 minutes to walk to his job.
What time did he get up?
Let’s Try Some More
• Tier 1
• Tier 2
Martina bowled 3 games. She
scored 105,114,111. What was
her average for the 3 games?
• What number would you add to
the numbers 4,6,7,8,9, and 11
to make the mode 4?
• The range 8?
Don’t Forget to THINK