ABC Toy Company is planning to market a set of children’s blocks. The package of blocks will contain 26 letter blocks, 10 number blocks, and 12 animal blocks for a total of 48 blocks in the package. Each block is a cube with 1-inch edges, so each block has a volume of 1 cubic inch.
The company wants to arrange the 48 blocks in the shape of a rectangular prism and then package them into a box that exactly fits the prism.
1. Find ALL the ways 48 cubes can be arranged into a rectangular prism.
a. How many ways are there to arrange the 48 cubes?
b. What are the dimensions (length, width, and height) of each rectangular prism?
2. Of the rectangular prisms you found, which one gives the least surface area?
a. Give the dimensions of this prism.
b. What is the surface area of this rectangular prism?
3. Explain why the ABC Toy Company needs to package the blocks using the rectangular prism that gives the smallest surface area.
A gentle reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem and all of its parts
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #6 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the Blog until it is past the due date AND Mrs. DaSilva has a chance to read and approve it
Wednesday, April 28, 2010
Wednesday, March 10, 2010
Blog Assignment #5 - Due March 19, 2010
For each of the equations below:
1. Solve each equation for the variable.
2. Explain each step you took to solve the problem and find the value of the variable.
3. Justify your reasoning for using the steps that you did to solve the equation.
Equation A: 7t = 10t + 18
Equation B: 14u – 7 = -14 – 7u
4. Compare the two equations. What was the same about them? What was different about them? What did you have to do differently for each of the problems to find the value of the variable?
A gentle reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem – there are THREE parts for each equation and then ONE final question about both – be sure to include every part and number the parts
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #5 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the Blog until it is past the due date AND Mrs. DaSilva has a chance to read and approve it.
1. Solve each equation for the variable.
2. Explain each step you took to solve the problem and find the value of the variable.
3. Justify your reasoning for using the steps that you did to solve the equation.
Equation A: 7t = 10t + 18
Equation B: 14u – 7 = -14 – 7u
4. Compare the two equations. What was the same about them? What was different about them? What did you have to do differently for each of the problems to find the value of the variable?
A gentle reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem – there are THREE parts for each equation and then ONE final question about both – be sure to include every part and number the parts
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #5 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the Blog until it is past the due date AND Mrs. DaSilva has a chance to read and approve it.
Tuesday, February 2, 2010
Blog #4 - Due February 12, 2010
You will have TWO choices for this Blog Assignment. Be sure to answer each part of the problem that you choose to do.
Choice #1: Julia’s phone calling plan is based on a set price $20.00 a month plus $0.04 a minute for calls.
1. If Julia makes m minutes of calls in a month, what would the expression be that would represent Julia’s cost, in dollars for that month? (Be sure to use “Let Statements” to set this up!)
2. Use your expression to solve each of the following (be sure to explain IN WORDS how you solved each of these):
a. What would Julia’s cost be if she spent 175 minutes on the phone in one month?
b. If Julia’s phone bill in one month was $29.12, how many minutes did she spend on the phone?
Choice #2: Every morning, Tommy and his dog, Rex, run to the local park, around the park, and back home. It is 525 meters to the park and x meters around the park.
1. Write two expressions for the total distance, in meters that Tommy and his dog run in a week. One of your expressions should involve parentheses. (Be sure to use “Let Statements” to set this up!)
2. Use either of your expressions to solve each of the following (be sure to explain IN WORDS how you solved each of these):
a. What would the total distance be that Tommy and Rex ran, in meters, if the distance around the park was 2200 meters?
b. If you know that Tommy and Rex ran 17,850 meters in one week, what would be the distance around the park?
Reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial only)
* your class
* the answer to the problem – there are THREE parts – be sure to include every part and number the expressions
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
* refer to the Rubric as you answer the blog to ensure that you get the best possible score
*** Please be sure to comment on Blog Assignment #4 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the Blog until it is past the due date AND Mrs. DaSilva has a chance to read and approve it.
Choice #1: Julia’s phone calling plan is based on a set price $20.00 a month plus $0.04 a minute for calls.
1. If Julia makes m minutes of calls in a month, what would the expression be that would represent Julia’s cost, in dollars for that month? (Be sure to use “Let Statements” to set this up!)
2. Use your expression to solve each of the following (be sure to explain IN WORDS how you solved each of these):
a. What would Julia’s cost be if she spent 175 minutes on the phone in one month?
b. If Julia’s phone bill in one month was $29.12, how many minutes did she spend on the phone?
Choice #2: Every morning, Tommy and his dog, Rex, run to the local park, around the park, and back home. It is 525 meters to the park and x meters around the park.
1. Write two expressions for the total distance, in meters that Tommy and his dog run in a week. One of your expressions should involve parentheses. (Be sure to use “Let Statements” to set this up!)
2. Use either of your expressions to solve each of the following (be sure to explain IN WORDS how you solved each of these):
a. What would the total distance be that Tommy and Rex ran, in meters, if the distance around the park was 2200 meters?
b. If you know that Tommy and Rex ran 17,850 meters in one week, what would be the distance around the park?
Reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial only)
* your class
* the answer to the problem – there are THREE parts – be sure to include every part and number the expressions
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
* refer to the Rubric as you answer the blog to ensure that you get the best possible score
*** Please be sure to comment on Blog Assignment #4 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the Blog until it is past the due date AND Mrs. DaSilva has a chance to read and approve it.
Wednesday, January 20, 2010
Blog #3 - Due January 29, 2010
Since the NHL started having the “Winter Classic”, an outdoor hockey game that takes place on New Year’s Day, many people have become more interested in watching hockey regularly. Mrs. DaSilva has always been a hockey fan and has decided to organize a group to go visit the Hockey Hall of Fame in Toronto, Canada.
Unfortunately for Mrs. DaSilva, who doesn’t like the cold very much, it is likely quite cold in Toronto. She has asked her math classes to find the average temperature in Toronto.
The average daily temperatures (in Fahrenheit) in Toronto for the previous two weeks are: +1, -1, 0, -2, +4, -1, -1, -9, -6, -9, -12, -2, 0, and +3.
1. What is the range of the data?
2. What is the median temperature?
3. What is the mean temperature?
4. What is the mode temperature?
5. How would the mean change if the next day’s temperature of +7 was included in the data?
BONUS: Suppose you were told that the average temperature in Toronto for one week in December was -1 degree Fahrenheit. You could read on the data table that six of the temperatures were -2, +3, -5, 0, +4, and -1 but the last temperature was too blurry to read. What is the missing temperature?
A gentle reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem – there are FIVE parts (or SIX including the bonus question) – be sure to include every part and number the expressions
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #3 so that your assignment is not lost on other posts! ***
Unfortunately for Mrs. DaSilva, who doesn’t like the cold very much, it is likely quite cold in Toronto. She has asked her math classes to find the average temperature in Toronto.
The average daily temperatures (in Fahrenheit) in Toronto for the previous two weeks are: +1, -1, 0, -2, +4, -1, -1, -9, -6, -9, -12, -2, 0, and +3.
1. What is the range of the data?
2. What is the median temperature?
3. What is the mean temperature?
4. What is the mode temperature?
5. How would the mean change if the next day’s temperature of +7 was included in the data?
BONUS: Suppose you were told that the average temperature in Toronto for one week in December was -1 degree Fahrenheit. You could read on the data table that six of the temperatures were -2, +3, -5, 0, +4, and -1 but the last temperature was too blurry to read. What is the missing temperature?
A gentle reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem – there are FIVE parts (or SIX including the bonus question) – be sure to include every part and number the expressions
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #3 so that your assignment is not lost on other posts! ***
Tuesday, January 5, 2010
Blog #2 - Due January 15, 2010
Blog Assignment #2 will focus on Writing Algebraic Expressions
"Let statements" are required for this assignment!!
Blog Assignment #2:
Pretend that you are planning for a Mavericks team trip to see a play live at Trinity Rep in Providence.
An adult ticket costs $50.
A child ticket (2-14 years of age) costs $10.
1. Write an expression for the total ticket cost in dollars if a adults and 85 students attend the production.
2. Write an expression for the total ticket cost in dollars if 8 adults and S students attend the production.
Wait, we almost forgot about transportation! If we were to need 2 buses to take us to Providence it would cost $750. The transportation cost will only be shared among the students since their ticket price is less than the adults.
3. Write an expression that represents the total cost for each student. (This means one expression that includes the price of the ticket to the play and his/her share of the cost of transportation.)
4. Now that you have your algebraic expressions, what will be the total cost for each student if 85 students go on the trip?
Reminder:
In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem – there are FOUR parts – be sure to include every part and number the expressions
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #2 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the blog until Mrs. DaSilva has a chance to read it and approve it.
"Let statements" are required for this assignment!!
Blog Assignment #2:
Pretend that you are planning for a Mavericks team trip to see a play live at Trinity Rep in Providence.
An adult ticket costs $50.
A child ticket (2-14 years of age) costs $10.
1. Write an expression for the total ticket cost in dollars if a adults and 85 students attend the production.
2. Write an expression for the total ticket cost in dollars if 8 adults and S students attend the production.
Wait, we almost forgot about transportation! If we were to need 2 buses to take us to Providence it would cost $750. The transportation cost will only be shared among the students since their ticket price is less than the adults.
3. Write an expression that represents the total cost for each student. (This means one expression that includes the price of the ticket to the play and his/her share of the cost of transportation.)
4. Now that you have your algebraic expressions, what will be the total cost for each student if 85 students go on the trip?
Reminder:
In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem – there are FOUR parts – be sure to include every part and number the expressions
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?
* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #2 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the blog until Mrs. DaSilva has a chance to read it and approve it.
Tuesday, December 22, 2009
"YOUR" Page
A few students have requested the ability to start discussions and/or questions for fellow Mavericks to comment on. This will be the place to do just that!!
Be sure to include your name with anything that you post.
Please remember that all comments and posts need to be approved by Mrs. DaSilva before they will be visible on the Blog.
Happy Math Blogging!!!
Be sure to include your name with anything that you post.
Please remember that all comments and posts need to be approved by Mrs. DaSilva before they will be visible on the Blog.
Happy Math Blogging!!!
Thursday, December 10, 2009
Scoring Rubric for ALL Blogs
Score: 3
Student includes correct answer to the problem.
Student includes clear procedural explanation and justification for answer.
Student includes extended thoughts and/or connections to the problem.
Score: 2
Student includes correct answer to the problem.
Student includes procedural explanation and justification for answer.
Student includes thoughts and/or connections to the problem.
OR
Student includes incorrect answer to the problem.
Student includes clear procedural explanation and justification for answer.
Student includes thoughts and/or connections to the problem.
Score: 1
Student includes correct answer to the problem.
Student does not include procedural explanation and justification for answer.
OR
Student includes incorrect answer to the problem.
Student includes procedural explanation and justification for answer.
Score: 0
Student did not complete assignment.
If the student gives an exceptional response for the assignment, then student’s grade will be a 100.
On the rubric a “3” = 95
On the rubric a “2” = 85
On the rubric a “1” = 70
Student includes correct answer to the problem.
Student includes clear procedural explanation and justification for answer.
Student includes extended thoughts and/or connections to the problem.
Score: 2
Student includes correct answer to the problem.
Student includes procedural explanation and justification for answer.
Student includes thoughts and/or connections to the problem.
OR
Student includes incorrect answer to the problem.
Student includes clear procedural explanation and justification for answer.
Student includes thoughts and/or connections to the problem.
Score: 1
Student includes correct answer to the problem.
Student does not include procedural explanation and justification for answer.
OR
Student includes incorrect answer to the problem.
Student includes procedural explanation and justification for answer.
Score: 0
Student did not complete assignment.
If the student gives an exceptional response for the assignment, then student’s grade will be a 100.
On the rubric a “3” = 95
On the rubric a “2” = 85
On the rubric a “1” = 70
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