Wednesday, January 30, 2008
Tuesday, January 29, 2008
This week's POW
Option 1: A pizza restaurant offers circular pepperoni and green pepper pizzas in 3 sizes. The small pizza has diameter 10 inches and sells for $15.20. The medium pizza has diameter 12 inches and sells for $18.85. The large pizza has diameter 14 inches and sells for $22.70. What is the cost per square inch for each size pizza? Express your answer in cents to the nearest whole number.
Option 2: The box for the circular large pizza is a rectangular prism whose length and width are one-half inch greater than the diameter of the circular large pizza and whose height is 1 inch. What is the surface area in square inches of the outside of the box for the circular large pizza?
Option 3: One of the circular large pizzas is placed in the box for a large circular pizza. How many square inches greater is the area of the bottom of the box than the area of the circular large pizza? Express your answer to the nearest whole number.
Option 4: Mr. Reynolds says he will use less material to make a pizza box if he makes a rectangular pizza instead of a circular pizza. He plans to make a rectangular large pizza whose area is equivalent to the area of the circular large pizza in square inches to the nearest whole number. The sides of the rectangular large pizza will be of integer lengths and have the least possible perimeter. The length and width of the bottom and the top of the box will be one-half inch greater than the length and width of the pizza. The sides of the box will be 1 inch high. What is the surface area in square inches of the outside of the box for the rectangular large pizza?
What percent less material will Mr. Reynolds use to make a rectangular large pizza box if he changes from a circular large pizza to a rectangular large pizza of equal area? Express your answer to the nearest whole number.
Option 2: The box for the circular large pizza is a rectangular prism whose length and width are one-half inch greater than the diameter of the circular large pizza and whose height is 1 inch. What is the surface area in square inches of the outside of the box for the circular large pizza?
Option 3: One of the circular large pizzas is placed in the box for a large circular pizza. How many square inches greater is the area of the bottom of the box than the area of the circular large pizza? Express your answer to the nearest whole number.
Option 4: Mr. Reynolds says he will use less material to make a pizza box if he makes a rectangular pizza instead of a circular pizza. He plans to make a rectangular large pizza whose area is equivalent to the area of the circular large pizza in square inches to the nearest whole number. The sides of the rectangular large pizza will be of integer lengths and have the least possible perimeter. The length and width of the bottom and the top of the box will be one-half inch greater than the length and width of the pizza. The sides of the box will be 1 inch high. What is the surface area in square inches of the outside of the box for the rectangular large pizza?
What percent less material will Mr. Reynolds use to make a rectangular large pizza box if he changes from a circular large pizza to a rectangular large pizza of equal area? Express your answer to the nearest whole number.
Friday, January 25, 2008
Study Study Study
1.) Quiz on Tuesday
Be able to write math comparison statements using ratios, percents, fractions and differences.
2.) Option 1: Page 28, #19
Option 2: Page 28, #19 and #23
Be able to write math comparison statements using ratios, percents, fractions and differences.
2.) Option 1: Page 28, #19
Option 2: Page 28, #19 and #23
Thursday, January 24, 2008
Scaling Ratios
1.) Finish 2.3
2.) Chapter 2 - Math Reflection page 32
3.) Option 1 - Page 25, #6-8
Option 2 - Page 25, #6, 7, 21, and 24
QUIZ on Tuesday!
2.) Chapter 2 - Math Reflection page 32
3.) Option 1 - Page 25, #6-8
Option 2 - Page 25, #6, 7, 21, and 24
QUIZ on Tuesday!
Tuesday, January 22, 2008
Sharing Pizza
If you're in 7-1:
Read page 20, Do #14-18 on pages 27-28
If you're in 7-2:
Finish 2.2 (Sharing Pizza), Do #14-18 on pages 27-28
AND
complete POW (see below)
Read page 20, Do #14-18 on pages 27-28
If you're in 7-2:
Finish 2.2 (Sharing Pizza), Do #14-18 on pages 27-28
AND
complete POW (see below)
Wednesday, January 16, 2008
Comparing with Ratios, Fractions and Percents
Due Tuesday:
1.) Starts on page 24, #1-3 and #9-13
2.) Pows- Please pick 2 options. One will count for this week and one for next week.
In the 17th century, Christian Goldbach developed an idea about prime numbers. He stated that every even integer greater than 2 can be written as the sum of two prime numbers. He had strong evidence to support his idea but he was unable to prove that his idea is true. Today this idea is known as Goldbach’s conjecture and still remains to be proven even though there have been many attempts to do so.
OPTION 1: What is the greatest positive difference between two prime numbers whose sum is 18?
OPTION 2: Which two-digit even whole number can be expressed as the sum of two prime numbers whose positive difference is the greatest?
OPTION 3: Another conjecture called the “Weak conjecture” stated by Goldback says that any odd integer greater than 5 can be expressed as the sum of 3 prime numbers. In how many ways can 21 be expressed as the sum of 3 prime numbers?
OPTION 4: In the 18th century Leonhard Euler stated a formula to generate prime numbers. The formula is : P(x) = x2 + x + 17, where x is a whole number. What is the least whole number n such that P(n) is not prime?
1.) Starts on page 24, #1-3 and #9-13
2.) Pows- Please pick 2 options. One will count for this week and one for next week.
In the 17th century, Christian Goldbach developed an idea about prime numbers. He stated that every even integer greater than 2 can be written as the sum of two prime numbers. He had strong evidence to support his idea but he was unable to prove that his idea is true. Today this idea is known as Goldbach’s conjecture and still remains to be proven even though there have been many attempts to do so.
OPTION 1: What is the greatest positive difference between two prime numbers whose sum is 18?
OPTION 2: Which two-digit even whole number can be expressed as the sum of two prime numbers whose positive difference is the greatest?
OPTION 3: Another conjecture called the “Weak conjecture” stated by Goldback says that any odd integer greater than 5 can be expressed as the sum of 3 prime numbers. In how many ways can 21 be expressed as the sum of 3 prime numbers?
OPTION 4: In the 18th century Leonhard Euler stated a formula to generate prime numbers. The formula is : P(x) = x2 + x + 17, where x is a whole number. What is the least whole number n such that P(n) is not prime?
Monday, January 14, 2008
Making Comparisons
Option 1:
starts on page 12 - #8-10 and #36-38
Option 2:
starts on page 12 - #8-10 and #36-41
MISSING WORK DUE TOMORROW!
starts on page 12 - #8-10 and #36-38
Option 2:
starts on page 12 - #8-10 and #36-41
MISSING WORK DUE TOMORROW!
Wednesday, January 9, 2008
Ratios, Fractions, Percents Continued
Option 1: Page 11, #4, 5, 7, 22, 25-30
Option 2: Page 11, #4, 5, 7, 17-21, 30-33
MISSING HOMEWORK DUE TOMORROW!
Option 2: Page 11, #4, 5, 7, 17-21, 30-33
MISSING HOMEWORK DUE TOMORROW!
Monday, January 7, 2008
Comparing and Scaling
Option 1: Starts on Page 10 - #1, 2, 13, 34
Option 2: Starts on Page 10 - #2, 13-16, 34
Pow is due Monday, January 14.
Extra Credit is due Monday, January 21.
All missing work is due on Thursday!
Option 2: Starts on Page 10 - #2, 13-16, 34
Pow is due Monday, January 14.
Extra Credit is due Monday, January 21.
All missing work is due on Thursday!
Sunday, January 6, 2008
January 7 Problems of the Week
Option 1: Tokyo is 9 hours ahead of London and London is 7 hours ahead of Denver. If Denver is 2 hours behind Washington DC, what time is it in Washington DC at the moment 2008 begins in Tokyo?
Option 2: During Jillian’s New Year’s Eve party she wants to have several candles lit. Each candle she plans to use burns at a rate of 5 mL of wax per 15 minutes. One of these candles has a diameter of 8 centimeters and a height of 15 cm. How long will it take the candle to burn down completely? Express your answer to the nearest whole number. (Note: 1 mL = 1 cm3)
Option 3: Mike and Barbara and going to a New Year’s Eve gala and Barbara needs a new dress. She found a dress that is perfect and it is on sale for 20% off. After the discount and a 5% sales tax, the total cost of the dress was $117.60. What was the original price of the dress?
Option 2: During Jillian’s New Year’s Eve party she wants to have several candles lit. Each candle she plans to use burns at a rate of 5 mL of wax per 15 minutes. One of these candles has a diameter of 8 centimeters and a height of 15 cm. How long will it take the candle to burn down completely? Express your answer to the nearest whole number. (Note: 1 mL = 1 cm3)
Option 3: Mike and Barbara and going to a New Year’s Eve gala and Barbara needs a new dress. She found a dress that is perfect and it is on sale for 20% off. After the discount and a 5% sales tax, the total cost of the dress was $117.60. What was the original price of the dress?
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