QUIZ TODAY!
HOMEWORK
Make sure you have all problems on pages 10-14 completed in your Ratios and Rates Book.
2/24/10
2/23/10
February 23rd, 2010
ANNOUNCEMENT - QUIZ TOMORROW ON PROPORTIONS AND CONVERTING UNITS
WORK TODAY
CONVERTING UNITS
1) 50 m = ?cm
2) 60 oz = ?lb
3) 15 in = ? ft
4) 140 min = ?hr
5) 6200 m = ? km
Information you need:
100cm = 1m
16oz = 1 lb
12in = 1ft
60min = 1hr
1000m = 1km
PROPORTION WORD PROBLEMS
1) If you can buy one can of pineapple chunks
for $2 then how many can you buy with
$10?
2) One jar of crushed ginger costs $2. How
many jars can you buy for $4?
3) One cantaloupe costs $2. How many
cantaloupes can you buy for $6?
4) One package of blueberries costs $3. How
many packages of blueberries can you buy
for $9?
5) Shawna reduced the size of a rectangle to a
height of 2 in. What is the new width if it
was originally 24 in wide and 12 in tall?
6) Ming was planning a trip to Western Samoa.
Before going, she did some research and
learned that the exchange rate is 6 Tala for
$2. How many Tala would she get if she
exchanged $6?
7) Jasmine bought 32 kiwi fruit for $16. How
many kiwi can Lisa buy if she has $4?
8) If you can buy four bulbs of elephant garlic
for $8 then how many can you buy with
$32?
9) One bunch of seedlees black grapes costs
$2. How many bunches can you buy for
$20?
10) The money used in Jordan is called the
Dinar. The exchange rate is $3 to 2 Dinars.
Find how many dollars you would receive if
you exchanged 22 Dinars.
11) Gabriella bought three cantaloupes for $7.
How many cantaloupes can Shayna buy if
she has $21?
12) Jenny was planning a trip to the United Arab
Emirates. Before going, she did some
research and learned that the exchange rate
is 4 Dirhams for every $1. How many
Dirhams would she get if she exchanged $5?
13) Castel bought four bunches of fennel for $9.
How many bunches of fennel can Mofor buy
if he has $18?
14) If you can buy one fruit basket for $30 then
how many can you buy with $60?
15) Asanji took a trip to Mexico. Upon leaving
he decided to convert all of his Pesos back
into dollars. How many dollars did he
receive if he exchanged 42.7 Pesos at a rate
of $5.30 = 11.1 Pesos?
16) The currency in Argentina is the Peso. The
exchange rate is approximately $3 = 1 Peso.
At this rate, how many Pesos would you get
if you exchanged $121.10?
17) Mary reduced the size of a painting to a
width of 3.3 in. What is the new height if it
was originally 32.5 in tall and 42.9 in wide?
18) Molly bought two heads of cabbage for
$1.80. How many heads of cabbage can
Willie buy if he has $28.80?
HOMEWORK
Finish Proportion Word Problems and STUDY FOR QUIZ!
WORK TODAY
CONVERTING UNITS
1) 50 m = ?cm
2) 60 oz = ?lb
3) 15 in = ? ft
4) 140 min = ?hr
5) 6200 m = ? km
Information you need:
100cm = 1m
16oz = 1 lb
12in = 1ft
60min = 1hr
1000m = 1km
PROPORTION WORD PROBLEMS
1) If you can buy one can of pineapple chunks
for $2 then how many can you buy with
$10?
2) One jar of crushed ginger costs $2. How
many jars can you buy for $4?
3) One cantaloupe costs $2. How many
cantaloupes can you buy for $6?
4) One package of blueberries costs $3. How
many packages of blueberries can you buy
for $9?
5) Shawna reduced the size of a rectangle to a
height of 2 in. What is the new width if it
was originally 24 in wide and 12 in tall?
6) Ming was planning a trip to Western Samoa.
Before going, she did some research and
learned that the exchange rate is 6 Tala for
$2. How many Tala would she get if she
exchanged $6?
7) Jasmine bought 32 kiwi fruit for $16. How
many kiwi can Lisa buy if she has $4?
8) If you can buy four bulbs of elephant garlic
for $8 then how many can you buy with
$32?
9) One bunch of seedlees black grapes costs
$2. How many bunches can you buy for
$20?
10) The money used in Jordan is called the
Dinar. The exchange rate is $3 to 2 Dinars.
Find how many dollars you would receive if
you exchanged 22 Dinars.
11) Gabriella bought three cantaloupes for $7.
How many cantaloupes can Shayna buy if
she has $21?
12) Jenny was planning a trip to the United Arab
Emirates. Before going, she did some
research and learned that the exchange rate
is 4 Dirhams for every $1. How many
Dirhams would she get if she exchanged $5?
13) Castel bought four bunches of fennel for $9.
How many bunches of fennel can Mofor buy
if he has $18?
14) If you can buy one fruit basket for $30 then
how many can you buy with $60?
15) Asanji took a trip to Mexico. Upon leaving
he decided to convert all of his Pesos back
into dollars. How many dollars did he
receive if he exchanged 42.7 Pesos at a rate
of $5.30 = 11.1 Pesos?
16) The currency in Argentina is the Peso. The
exchange rate is approximately $3 = 1 Peso.
At this rate, how many Pesos would you get
if you exchanged $121.10?
17) Mary reduced the size of a painting to a
width of 3.3 in. What is the new height if it
was originally 32.5 in tall and 42.9 in wide?
18) Molly bought two heads of cabbage for
$1.80. How many heads of cabbage can
Willie buy if he has $28.80?
HOMEWORK
Finish Proportion Word Problems and STUDY FOR QUIZ!
2/21/10
February 22nd, 2010
ANNOUNCEMENT: QUIZ WEDNESDAY ON PROPORTIONS AND CONVERTING UNITS.
LOG PROBLEM
If you can drive 124 miles in 2 hours, how far can you drive in 7 hours? How far is that in kilometers? (1.61 kilometers = 1 mile)
WORK TODAY
We will be working on calculating ratios. We will also be defining absolute comparisons and relative comparisons.
ANSWERS to Rates and Ratios Problems
Page 9
People per telephone
37.98076923
76.92307692
1.699346405
20
1.301020408
1.89869281
130.979021
2.201754386
1.610526316
5.882352941
45.86206897
7.644067797
268.75
1.300147856
Telephones per person
0.026329114
0.013
0.588461538
0.05
0.768627451
0.526678141
0.00763481
0.454183267
0.620915033
0.17
0.021804511
0.130820399
0.00372093
0.76914329
Page 10
2a) United States and Finland rely on the telephone the most. They have the largest number of telephones per person. (They have the smallest number of people per telephone.)
2b) Sudan relies on telephones the least. They have the smallest amount of telephones per person. (They have the largest number of people per telephone.)
3a) People per telephone
4) France has way more telephones than the Solomon Islands.
Page 11
5a) China has more telephones.
5b) You would wait in a longer line in China because there are way less telephones per person in China.
6) The RELATIVE COMPARISON gives a much better picture because it includes people in the measurement of how many telephones there are in the country.
7) An absolute comparison would be useful for finding out how much of something a group of people use. A relative comparison would be useful for finding out how much of something an individual person uses.
HOMEWORK
Complete pages 9-11 in your Ratios and Rates Book.
LOG PROBLEM
If you can drive 124 miles in 2 hours, how far can you drive in 7 hours? How far is that in kilometers? (1.61 kilometers = 1 mile)
WORK TODAY
We will be working on calculating ratios. We will also be defining absolute comparisons and relative comparisons.
ANSWERS to Rates and Ratios Problems
Page 9
People per telephone
37.98076923
76.92307692
1.699346405
20
1.301020408
1.89869281
130.979021
2.201754386
1.610526316
5.882352941
45.86206897
7.644067797
268.75
1.300147856
Telephones per person
0.026329114
0.013
0.588461538
0.05
0.768627451
0.526678141
0.00763481
0.454183267
0.620915033
0.17
0.021804511
0.130820399
0.00372093
0.76914329
Page 10
2a) United States and Finland rely on the telephone the most. They have the largest number of telephones per person. (They have the smallest number of people per telephone.)
2b) Sudan relies on telephones the least. They have the smallest amount of telephones per person. (They have the largest number of people per telephone.)
3a) People per telephone
4) France has way more telephones than the Solomon Islands.
Page 11
5a) China has more telephones.
5b) You would wait in a longer line in China because there are way less telephones per person in China.
6) The RELATIVE COMPARISON gives a much better picture because it includes people in the measurement of how many telephones there are in the country.
7) An absolute comparison would be useful for finding out how much of something a group of people use. A relative comparison would be useful for finding out how much of something an individual person uses.
HOMEWORK
Complete pages 9-11 in your Ratios and Rates Book.
2/19/10
February 19th, 2010
LOG PROBLEM
2 pounds of turkey costs 6 dollars. What is the unit price? How much does 4 and 1/2 pounds cost?
WORK TODAY
We will work on the following problems from our Ratios and Rates Books:
a. Page 5- problems 8, 9a, 9b, 10
b. Page 7 – problems 11 and 12
c. Page 8 – problems 13a, 13b, 14 (all of them), 16
Answers for SHOWN WORK
PAGE 5
8) 50 mi/2.5 gal =20 miles per gallon
PAGE 6
9a) Arnold multiplied by 10.
9b) Arnold’s gas mileage 203 mi/8.75 gal =23.2 miles per gallon
10) Sheena’s gas mileage 81.2 mi/3.75 gal =21.65 miles per gallon
Compare the two rates
PAGE 7
11) Tom multiplied 10 gallons by 21 miles per gallon to get 210 miles.
Cathy divided 213.3 miles by 10.5 gallons to get 20.31 miles per gallon.
12)
Miles traveled = 46,404.9 mi – 46,260.6 mi =144.3
Gas used = 10.5 gal – 6.1 gal =4.4
Gas mileage =32.8 miles per gallon
PAGE 8
13a) 38 people/16 cars =2.375 people per car
13b)320 students/9 classes =35.55 students per class
16)Recommended: 4 plants/1 m
1st Row 30 plants/7.3 m =4.11 plants per meter
2nd Row 9 plants/2.6 m =3.46 plants per meter
2 pounds of turkey costs 6 dollars. What is the unit price? How much does 4 and 1/2 pounds cost?
WORK TODAY
We will work on the following problems from our Ratios and Rates Books:
a. Page 5- problems 8, 9a, 9b, 10
b. Page 7 – problems 11 and 12
c. Page 8 – problems 13a, 13b, 14 (all of them), 16
Answers for SHOWN WORK
PAGE 5
8) 50 mi/2.5 gal =20 miles per gallon
PAGE 6
9a) Arnold multiplied by 10.
9b) Arnold’s gas mileage 203 mi/8.75 gal =23.2 miles per gallon
10) Sheena’s gas mileage 81.2 mi/3.75 gal =21.65 miles per gallon
Compare the two rates
PAGE 7
11) Tom multiplied 10 gallons by 21 miles per gallon to get 210 miles.
Cathy divided 213.3 miles by 10.5 gallons to get 20.31 miles per gallon.
12)
Miles traveled = 46,404.9 mi – 46,260.6 mi =144.3
Gas used = 10.5 gal – 6.1 gal =4.4
Gas mileage =32.8 miles per gallon
PAGE 8
13a) 38 people/16 cars =2.375 people per car
13b)320 students/9 classes =35.55 students per class
16)Recommended: 4 plants/1 m
1st Row 30 plants/7.3 m =4.11 plants per meter
2nd Row 9 plants/2.6 m =3.46 plants per meter
February 18th, 2010
WORK TODAY
We converted units by cross-multiplying proportions.
HOMEWORK
1) 25 oz = ? lb
2) 2,000 mL = ? L
3) 19 gal = ? qt
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
We converted units by cross-multiplying proportions.
HOMEWORK
1) 25 oz = ? lb
2) 2,000 mL = ? L
3) 19 gal = ? qt
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
2/17/10
February 17th, 2010
LOG PROBLEM
How many centimeters are in 20 meters?
WORK TODAY
1. We worked on a PSSA Constructed Response Question.
HOMEWORK
Complete the following conversions by using proportions and cross multiplication.
1) 32 oz = ? lb
2) 200 mL = ? L
3) 5 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
How many centimeters are in 20 meters?
WORK TODAY
1. We worked on a PSSA Constructed Response Question.
HOMEWORK
Complete the following conversions by using proportions and cross multiplication.
1) 32 oz = ? lb
2) 200 mL = ? L
3) 5 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
2/16/10
February 16th, 2010
LOG PROBLEM
If you can run 5 kilometers in 3 hours, how many kilometers can you run in 4 hours?
WORK TODAY
We will convert units by cross multiplying proportions.
HOMEWORK
1) 50 oz = ? lb
2) 4,000 mL = ? L
3) 9 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
If you can run 5 kilometers in 3 hours, how many kilometers can you run in 4 hours?
WORK TODAY
We will convert units by cross multiplying proportions.
HOMEWORK
1) 50 oz = ? lb
2) 4,000 mL = ? L
3) 9 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
2/9/10
February 9th, 2010
LOG PROBLEM
If 10 inches of snow produces 4 inches of water, then how much water will be produced from 16 inches?
WORK TODAY
We converted metric units by using cross multiplication of proportions.
HOMEWORK
No homework due to class-wide homework pass given for cross-multiplication contest. Great Job!
If 10 inches of snow produces 4 inches of water, then how much water will be produced from 16 inches?
WORK TODAY
We converted metric units by using cross multiplication of proportions.
HOMEWORK
No homework due to class-wide homework pass given for cross-multiplication contest. Great Job!
2/4/10
February 4th, 2010
PSSA CONSTRUCTIVE RESPONSE TODAY!
HOMEWORK
Make sure you have pages 41-43 of your Procedural Fluency Workbook completed.
HOMEWORK
Make sure you have pages 41-43 of your Procedural Fluency Workbook completed.
2/3/10
February 3rd, 2010
LOG PROBLEMS
1. What are the differences between perimeter, area, and volume?
2. What is the volume of a cube that has a side that measures 1 centimeter long?
WORK TODAY
We converted units of measurements by using proportions.
HOMEWORK
Page 41-42 of Procedural Fluency Workbook
1. What are the differences between perimeter, area, and volume?
2. What is the volume of a cube that has a side that measures 1 centimeter long?
WORK TODAY
We converted units of measurements by using proportions.
HOMEWORK
Page 41-42 of Procedural Fluency Workbook
2/2/10
February 2nd, 2010
LOG PROBLEM - February 2nd
What is the volume of a rectangular prism that has a length of 3 and 1/2 cm, 4 and 1/4 cm, and 5 and 3/4 cm?
WORK TODAY
We completed a set of problems where students calculated the volume of rectangular prisms while using a formula.
HOMEWORK
Finish worksheet handed out in class today.
What is the volume of a rectangular prism that has a length of 3 and 1/2 cm, 4 and 1/4 cm, and 5 and 3/4 cm?
WORK TODAY
We completed a set of problems where students calculated the volume of rectangular prisms while using a formula.
HOMEWORK
Finish worksheet handed out in class today.
2/1/10
February, 1st 2010
LOG PROBLEM
What is the total surface area of a rectangular cube where one side has a length of 2 cm, another side has a length of 3 cm, and another side has a length of 4 cm? Try to draw it.
WORK TODAY
Volume Project:
1. Assemble a rectangular cube.
2. Measure the length, width, and height of the cube.
3. Use the formula for volume to calculate the amount of cubic centimeters in your cube. (Volume = length x width x height)
4. Disassemble your cube and check your formula answer by counting the number of cubes.
HOMEWORK
Calculate the volume of the cubes with the following dimensions:
1) w= 4 in, h = 6in, l = 3 in
2) w= 14 in, h = 26in, l = 33 in
3) w= 3.2 in, h = 7.4in, l = 8.3 in
4) w= 4 and 1/2 in, h = 6 and 1/4in, l = 3 and 1/3 in
What is the total surface area of a rectangular cube where one side has a length of 2 cm, another side has a length of 3 cm, and another side has a length of 4 cm? Try to draw it.
WORK TODAY
Volume Project:
1. Assemble a rectangular cube.
2. Measure the length, width, and height of the cube.
3. Use the formula for volume to calculate the amount of cubic centimeters in your cube. (Volume = length x width x height)
4. Disassemble your cube and check your formula answer by counting the number of cubes.
HOMEWORK
Calculate the volume of the cubes with the following dimensions:
1) w= 4 in, h = 6in, l = 3 in
2) w= 14 in, h = 26in, l = 33 in
3) w= 3.2 in, h = 7.4in, l = 8.3 in
4) w= 4 and 1/2 in, h = 6 and 1/4in, l = 3 and 1/3 in
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