Variables+and+Pattern_Stretching+and+Shrinking

Homework
ACE 1: 1, 3, 5, 7 Complete worksheet 1.1 and Problem 1.1 questions
 * Test Redo due Wednesday, October 3**

Journal
1. I calculated the equasion y=3x. 2. x y -2 -6 -1 -3 0 0 1 3 2 6 3 9
 * A.**

3. If x=5 y=15.

1. I computed the equasion y=0.5x+2.
 * B.**

2.

x y -5 - 6 -4 0 -3 0.5 -2 1 -1 1.5 0 2 1 2.5

3. If x=5 then y=4.5.

1. There is a horizontal slant through the middle of the graph. 2. There is a gradually sloping slantcutting through -4 and +2. 3. Both of the graphs slant and go up at a continous rate. 4. I would take x to be 1, 2, 3, 4 etc. and calculate the equasions value. As i worked out the equasions I would put them on a table, later putting that data into a graph.
 * Follow Up**

September 20 - Zach
Notes i didnt realy have any notes about the problems but the notes i did have were learning on how to use the grapic calculater for the first time.

=Journal= A1. well for this qyestion it says which two graph are simular? but i dint know if im correct but i said that the y x-4 and y=x2 are simular A2. in what ways are the two graphs simular? for that question i said that they are both simular because the are parallel and they are strate lines.

A3. What ways are the equations for the two graphs simular?I said they start simular because of there shape and curves thats what i think. B1. Which equation in the set has a graph that is diffrent form the graphs or the other equations? Well the equation that is y=5 is diffrent from all the other equations

B2. In what ways is the graph diffrent form other graphs?The diffrence from the other graphs is because it has a different varbles to graph and differents shapes too.

B3. In what ways is the equations different form other equations? Its difference from the other equations because pof the curves and shapes of the lines like i said in B2. I didnt really understant the follow u

Homework
the homework was to do 5.1 and the follow up

September 16, 2007 - Ronita
Just add to or fix what is already here Ronita

Journal
4.3 Calculating Costs and Profits. A.1.For a bicycle rental, total cost is the number of bikes to rent times the cost for one bike ($30); c=30n

A.2. The cost is $125 times the number of customers; c=125n

A.3. The cost for van rental is $700; c=700

B. The total costs for the trip can be found by adding the bike rental expression (30n), food and camping cost expression (125n), and $700 dollars for the van; c=30n+125n+700

C. Remember, the rule for profit is as follows: income-costs=profit

Homework
Remember, we have a quiz next class, September 18, 2007!

Please type your name below to show that you are a member and you know how to click the  button and how to click the  button:

Mr. Cooper (example)

Please log into the class wiki, add your name to the "name" list (above) and the "things we'd like to see" list. Remember, we have a quiz next class, September 18, 2007! please bring 3 or more suggestions for improving our Learning Environment (due sept 24) Complete 4.3 with follow-up Complete Mathematical Reflections page 60 ACE 4:3, 5, 7, 11

Journal
4.2 Changing speeds A. Make a table and graph for 50 and 65 miles per hour B. The thing that the three tables have incommon is that it shows the data for the distance for the given mile per hour, and they are different because the show different data. C. The thing that the three graphs have in common is that they all show what happened in the intervals and they are different because I used a different scale. D.1 The pattern of change in the data that helped me to calulate the distance traveled is that after each hour, they had traveled 65 miles. The rule that explained how to calulate the distance for any given time is that you multiply 65 by the given time. 2. The equation for the rule is: d=65t E.2 The rule that helped me to calulate the distance for any given time for the distance of 50 mile per hour is that you multiple 50 by the given time. 1. The equation for the rule is d=50t F. The rule for calulating the distance are similar because they are the exact but the factors are different to fit the miles per hour. They are different because they used different data. 4.2 Follow up 1. The equation that Malcolm wrote works because it matches the equation for the others, if you multiply the miles per hour by the given time you do get the miles traveled within the hours so Malcolm's equation works. 2. To get to Philadelphia to Williamsburg it would take them: 50 miles per hour= about 7 hours and 20 minutes 60 miles per hour= about 17 hours 65 miles per hour=about 5 hours and 30 minutes Homework ACE4:1,8,9,13 1.A Make a table and graph for the distace the girl's basketball team traveled
 * 50 miles per hour ||  || 65 miles per hour ||   ||
 * Time(hours) || Distance(miles) || Time(hours) || Distance(miles ||
 * 0 || 0 || 0 || 0 ||
 * 1 || 50 || 1 || 65 ||
 * 2 || 100 || 2 || 130 ||
 * 3 || 150 || 3 || 195 ||
 * 4 || 200 || 4 || 260 ||
 * 5 || 250 || 5 || 225 ||
 * 6 || 300 || 6 || 390 ||
 * 7 || 350 || 7 || 455 ||
 * 8 || 400 || 8 || 520 ||
 * Time(hours) || Distance(miles) ||
 * 0 || 0 ||
 * 1 || 60 ||
 * 2 || 120 ||
 * 3 || 180 ||
 * 4 || 240 ||
 * 5 || 300 ||
 * 6 || 360 ||
 * 7 || 420 ||
 * 8 || 480 ||
 * 9 || 540 ||
 * 9 1/3 || 560 ||

B. The estimated distance traveled by the bus after each of the times is: 2 3/4=121.5 miles 2 =120 miles 7 1/4=4227.5 miles C. Two hours are represented on the table at 120, it is represented on the graph at the the point where two hours and 120 meet. D. 2 3/4 hours is represented in the table and graph between 120 and 180 miles per hour. E. The rule relating the time and distance that would help me in the distance traveled for any given time is that i multiplied 60 by time. F.It took them 3 hours to get from El Paso to Sierra Blanca. G. It took them 2 hours to get from El Paso to San Antonio. 8.A Kai would have completed 27 inches in one turn. B. Masako would have completed 20 inches in one turn. C. kai would have completed 13,500 inches in 500 turns. D. Masaka would have completed10,000 inches in 500 turns. E. Kai's weels would have turned 60 turns to cover 100 feet. G. Kai would have turned 120 turns to cover one mile. H. Masaka would have turned123 turns to cover one mile. 9.A The radius of the front wheel for t he Penny Farthing Bicycle is 2.5feet B. The bike would have completed 500 feet to complete 100 turns. C. The bike would have turned 500,000 turns to complete 23-mile trip. D. The numbers compare like that because they have different diameters. 13.A, The trip would have taken 6 hours and 6 minutes if the average speed is was 6 miles per hour. B. If the average speed increased their time to get to their destination it would be shorter and if the average decreased the time to get to their destination would take more time.

September 10, 2007

Journal
A. If there is 10customers the profit will be $150, 25customers the profit will be $390, and 40customers will be $600.

B. To earn $200 profit there have to be about 16customers, the $500 profit would need 38 customers, and the $600 profit would need 40customers.

C. As the number of customers increases, the profit increases too.

D. The profit of it will be decrease from now.

Follow up
(1,12),(2,21),(3,43),(100,900), would be answer. To find this question of answer, look at x-axis, and find the number of customers that you want to find. After that go up straight until you reach at the line. The way to write in easy to read(coordinate pair) is write first column the number of customers which is the number from X-axis. The next one fill with the profit which is number from Y-axis. (x,y)

Homework
ACE 3,p42-47 question 1,2,5,6,10

Journal
Problem 3.4 and Follow Up 1 $350 $30 $125 $700 1710 $-505 2 700 60 250 700 1710 -310 3 1050 90 375 700 2215 -115 4 1408 120 500 700 2728 -80 5 1750 150 625 700 3225 275 6 2100 180 750 700 3730 470 7 2450 210 875 700 4235 665 8 2800 240 1000 700 4740 860 9 3150 270 1125 700 5245 1055 10 3500 300 1250 700 5750 1250
 * Number of Customers Income Bike rental Food and Camp Cost Van rent Total Cost**

B) Well as the number of customers increases, so will the income. For each customer the tour price is $350 so you just keep on adding $350 until you go to 10 customers.

C) Because every time we keep on adding customers and with one customer there is the tour price, bike rental, food and camp cost and van rent. So every time you add more customers the total cost will increase. The total cost depends how much people there are.

D) The rule for finding out profit: Income - costs Income - expenses 1750 - 1475= $275 (profit for 5 customers) 3500 - 2250= $1250 (profit for 10 customers) 8750 - 4575= $4175 (profit for 25 customers)

Problem 3.4 Follow Up 1). The other patterns that I see on the table are that total cost is increasing as the income bike rentals food and camp costs and the van rentals. The profit is also increasting as well.

2). The least number of customers neede to make a profit is 4 and will make the profit as $80 because anything after it is a negative number.

3). I think the least number of customers needed to make worthwile for the students to run the tour is 6 because the profit is $470 and $470 is in between the profits, $275 and $665.

ACE 3,p42-47 question 1,2,5,6,10
= =

Notes:
Rocky's cycle center prices:
 * Number of Bikes || Rental Fee ( $ ) ||
 * 5 || $ 400 ||
 * 10 || $ 535 ||
 * 15 || $ 655 ||
 * 20 || $ 770 ||
 * 25 || $ 875 ||
 * 30 || $ 975 ||
 * 35 || $ 1070 ||
 * 40 || $ 1140 ||
 * 45 || $ 1180 ||
 * 50 || $ 1200 ||

Adrians cycle center prices:
 * Number of Bikes || Rental Fee ( $ ) ||
 * 5 || $ 190 ||
 * 10 || $ 320 ||
 * 15 || $ 440 ||
 * 20 || $ 600 ||
 * 25 || $ 780 ||
 * 30 || $ 910 ||
 * 35 || $ 1020 ||
 * 40 || $ 1200 ||
 * 45 || $ 1380 ||
 * 50 || $1490 ||

Journal:
1a. Ocean and History bike tour should use both but for different reasons. If they have alot of people the is lower at Rockys for over 35-50 people, but if they have less than 35 people than they should use Adrains cycle center because their price is cheaper for less bikes.

1b. I foundmy answer by making a table for both cycle stores and seeing the diffrences and then working out which one has cheaper rental fees at different number of people.

Follow Up
1. If I had made a graph I think I would of connected the points because then you can see when the prices fall and grow on the graph but if the points were in a straight line then i would not need to connect the points.

2. Estimations: - 32 bikes form adrains cycle shop: $ 932 - 32 bikes from rockys cycle shop: $ 980

3. Patterens: Adrians bike shop costs around 110-180 for every 5 bikes. Rockys bike shop costs around 20-135 for every 5 bikes.

4. If every bike was to go up by $ 110 then if you wanted 6 nikes it would cost $ 660


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Journal
  

  

Homework
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Homework
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D: Graph would be a better choice to display the(time,distance) data and help you see changes better, because you could see the intervals rising and falling, you could see it at a glance, and can take a quick overview.

Homework
ACE: 2,3,5,7

Journal
A

B
 * Time || distance ||
 * 8:30 || 0 ||
 * 9:00 || 8 ||
 * 9:30 || 16 ||
 * 10:00 || 24 ||
 * 10:30 || 24 ||
 * 11:00 || 29 ||
 * 11:30 || 34 ||
 * 12:00 || 37 ||
 * 12:30 || 39 ||
 * 1:00 || 39 ||
 * 1:30 || 40 ||
 * 2:00 || 43 ||
 * 2:30 || 54 ||
 * 3:00 || 62 ||
 * 3:50 || 73 ||
 * 4:00 || 80 ||

2.4 Follow Up
I used the notes by starting at 8:30 and anding 7 and a half hours to that and ended at 4:00

Homework
= =

2.2 - Abhisek
Notes The cycling group has started their journey for Day 2. They have traveled 8 miles during the second half-hour interval

Journal
A (Can be done on Grid paper) B. The group started from Atlantic City. During the second half-hour interval, they traveled 8 miles. Then they got energized and traveled 7 miles more in the third half-hour interval. Then they got a little bit less active and traveled 4 miles only in the fourth-half hour interval. Then they got dehydratedand traveled 2 miles in the fifth-half hour interval. Then they drank some water and went on going 6 miles in the sixth-half hour interval. The bicyclers worked hard and completed 7 miles again in the seventh-half hour interval. The bicyclers came to a break after traveling in the eight-half hour interval. Then the bicyclers decided to have lunch during the ninth and tenth-half hour interval. Then finally, the bicyclers traveled 5 more miles and ended their tour for Day 2. The group made the most progress during when they started to the first-half hour intervals and made the least progress during the 3.5 to 4.5 half hour intervals and they made the most progress. during the first half of the day's ride.

C. You can find the time intervals when the riders made the most progres by looking at each interval and subtracting the distance number from the distance number of the last interval and doing that for each interval until you reach the highest difference between a pariticular two intervals. Do the same thing for finding when the riders made the least progress except for finding the least differerence beween a particular two intervals. You can find these differences by analyzing a graph by looking where and when the points on the graph have the highest distance/lowest distance from the lalst point.

D. I think she shuld include a table in her graph because tables are numerals and are easy to analyze than a graph.

2.2 follow up 1. The coordinate pair for the third point on my graph is (1.0,15). This point tells us that the group traveled 15 miles at the interval of 1 hour. 2 a. (Can be done on graph) b. I can use the line segments to help me estimate the distance traveled after three-quaters of an hour by looking at the scale of distance traveled between the middle of 0.5 and 1.0 hour intervals.
 * 3 a. ii b. i c. iii d. iv**

Homework
ACE2:1,9,11

A. B. **First 50 seconds, I was a bit faster that time, but as the time passed to 60, 70, 80 seconds I started to slow down ( and it's easy to see what's different when I make a graph).**

__1.2 Follow-up__**
To see the relationships I found between the number of jumping jacks and times, I think it's easier to see it in a graph because a table only gives you information, but graph also give you the visual so maybe you are easier to understand with a graph.

Homework
=August 15, 2007= Hand out books, course summary, and journal and homework record. for Variables and Patterns

=September 16, 2007=

Homework
Remember, we have a quiz next class, September 18, 2007!

Please type your name below to show that you are a member and you know how to click the  button and how to click the  button:

Mr. Cooper (example) Nico Palesch

Please log into the class wiki, add your name to the "name" list (above) and the "things we'd like to see" list. Remember, we have a quiz next class, September 18, 2007! please bring 3 or more suggestions for improving our Learning Environment (due sept 24) Complete 4.3 with follow-up Complete Mathematical Reflections page 60 ACE 4:3, 5, 7, 11