Download Problem Solving Project

Unit 9 - Problem Solving Project
Due Wednesday April 20th, 2011
Your task: Create a problem solving book, showing your abilities at problem solving. You
must have a minimum of 10 word problems (2 can come from class problems or homework
problems). Each problem must be solved entirely and provide an explanation that models
our classroom problem solving rubric (see attached). You have been given a list that is
included in this packet. You have freedom in the problems you choose to do, however each
problem will be graded on the following:
SelfTeacher
assessment assessment
points
points
Format
Rubric

Organized into a book or magazine format and bound
A minimum of 10 problems are shared
/10 points
/10 points
Work is organized, clearly labeled and legible
Typed if possible
Diagrams are easy to follow
/10 points
/10 points
Restates the question or questions and only the information that
pertains to the problem
Uses paragraph format with complete sentences on the reflection
questions.
Explains your mathematical knowledge or mathematical thinking in
words, pictures and numbers
Uses the appropriate mathematical knowledge (pictures, diagrams,
equations, conversions, etc)
Has a clear answer
/50 points
/50 points
When working problems, mathematical computations are accurate
and have been checked
Problems Solved Correctly
/10 points
/10 points
/15 points
/15 points
/5 points
/5 points
/100 points
/100 points

Neatness



Explanations





Computational Accuracy


Peer assessment

At least 3 of your problems have been assessed by a peer and
rough drafts with peer editing are attached
Changes were made if needed

Self assessment

You have checked all problems according to this rubric and
completed a self assessment score for your project.
TOTAL
How to do a Math Peer Review
1. Write reviewed by _______________ at the top of the paper.
2. Read through the work once carefully.
3. On the second read through, make suggestions and comments in a different color.
 Identify when something isn’t clear
 Make suggestions about organization
 Check formulas, diagrams and work for accuracy
 Check to see that they have told the problem and the important information from the
problem,
 Clear answer
4. At the end,
1. Give a compliment
2. Make a suggestion or two for improvement
Problems
You are renting a car for three days. You plan to drive about 100 miles per day. The car cost
$39 per day plus 8 cents per mile. Estimate the total cost.
In a photograph, the length of a sailing ship is 12 in., and the height of its mast is 5 in. The
actual ship is 30 m long. What is the actual height of the ship’s mast?
Martha bought a $30 skirt at 20% off and a $20 blouse at 30% off. What percent discount did
she receive on the total purchase?
Which is more expensive, $0.59 per liter or $1.69 per gallon? Explain how you got your answer.
A snail begins climbing from the bottom of a well that is 10feet deep. Each day the snail climbs
3 feet, and each night the snail slips down 2 feet. How many day does it take the snail to reach
the top of the well?
Mary can buy a ring and earrings for $9, earrings and a comb for $10, a comb and a ring for $11.
What is the price of the comb?
In colligate football a team can score in the following ways. (to score in either of the last two
ways, the team must have scored a touchdown on the preceding play) If a team scores in every
possible way during the game, what is the least number of points the team could have?
Points
Touchdown………………………………6
Field goal…………………………………3
Safety……………………………………..2
Two-point conversion……………2
One-point conversion……………1
Mrs. Li has three children. Their mean age is 11. Their median age is 11. The oldest child is 15
years old. What are the ages of the other two children?
When it is 4:30 p.m. in New York City, what time is it in the following cities?
1. Los Angeles
2. Denver
3. Chicago
4. Atlanta
5. Miami
6. Seattle
A grocery store sells four different-sized boxes of Major Munch breakfast cereal. Which box
of cereal is the best buy? Explain
The 5-oz box costs $1.75.
The 9-oz box costs $2.80.
The 12-oz box costs $3.50.
The 16-oz box costs $5.00.
More Problems to solve
1. You are renting a car for three days. You plan to drive about 100 miles per day. The car cost
$39 per day plus 8 cents per mile. Estimate the total cost.
2. Find the next two rows in the triangular pattern.
1
1
1
1
2
1
1
3
3
1
1
4
6
4
1
3. A book is lying open on a desk. The product of the page numbers showing is 930. What are
the two page numbers?
4. Jamie and Rosa are brother and sister. Jamie has the same number of brothers as sisters.
Rosa has twice as many brothers as sisters. How Many boys and girls are in the family?
5. The equation (5+5)(5+5) = 100 shows how the number 100 can be expressed with only the
digit 5. Try to find as many ways as you can to make 100 with only the digit 9.
6. The diagram represents a figure made with 17 toothpicks.
___ ___ ___
___ ___ ___
___ ___ ___ 
1. How can you take away 3 tooth picks to leave exactly 4 squares?
2. How can you take away 5 tooth picks to leave exactly 3 squares?
7. In a photograph, the length of a sailing ship is 12 in., and the height of its mast is 5 in. The
actual ship is 30 m long. What is the actual height of the ship’s mast?
8. Will sent party invitations to 12 relatives, 16 friends and 8 business associates. After he had
mailed the invitations, he found that one of the stamps had fallen off its envelope. What is the
probability that the unstamped invitation was to a relative?
9. Martha bought a $30 skirt at 20% off and a $20 blouse at 30% off. What percent discount
did she receive on the total purchase?
10. An archer shot 8 arrows at the target shown. Each arrow hit the target. The archer’s total
score was 175. Where did the arrows land?
10
25
25
10
50
11. Which is more expensive, $0.59 per liter or $1.69 per gallon? Explain how you got your
answer.
12. How many cards do you have to draw from a deck of 52 cards to make sure that you have at
least 2 cards of the same suit?
13. Which capital letters do not change when you look at them in a mirror?
14. A snail begins climbing from the bottom of a well that is 10feet deep. Each day the snail
climbs 3feet, and each night the snail slips down 2feet. How many day does it take the snail to
reach the top of the well?
15. X+X+X= 21
Y+Y+Y=6
Z+Z+Z=18
Find the sum of X+Y+Z.
16. Mary can buy a ring and earrings for $9, earrings and a comb for $10, a comb and a ring for
$11. What is the price of the comb?
17. In colligate football a team can score in the following ways. (to score in either of the last
two ways, the team must have scored a touchdown on the preceding play)
Points
Touchdown………………………………6
Field goal…………………………………3
Safety……………………………………..2
Two-point conversion……………2
One-point conversion……………1
If a team scores in every possible way during the game, what is the least number of points the
team could have?
18. Which is greater, the number of inches in a mile or the number of ounces in a ton?
19. What is the least number that has factors of 2,3,4,5,6,7,8,9, and 10?
20. Mrs. Li has three children. Their mean age is 11. Their median age is 11. The oldest child is
15 years old. What are the ages of the other two children?
21. When it is 4:30p.m. in New York City, what time is it in the following cities?
1. Los Angeles
3. Chicago
5. Miami
2. Denver
4. Atlanta
6. Seattle
22. A grocery store sells four different-sized boxes of Major Munch breakfast cereal.
The 5-oz box costs $1.75.
The 9-oz box costs $2.80.
The 12-oz box costs $3.50.
The 16-oz box costs $5.00.
Figure out in your head which box of cereal is the best buy.
23. Samantha is walking across the United States. The table shows the distance walked during
one week. How many kilometers per day did Samantha average?
64)
65)
Day
Distance
Sunday
31.2km
Monday
24.5km
Tuesday
27.7km
Wednesday
16.2km
Thursday
0km
Friday
12km
Saturday
24.9km