Linear Relationships

1) Miss Slawinski shops online 3 times per day.

Independent variable: Days
Dependent variable: Times shopped
Equasion: d=days, t=times shopped t=3d
Graph: Starts at (0,0) and continues to increase at a constant rate of 3 times shopped per day

3) Mr. Greig assigns atlas work 6 times a month.

Independent variable: Months
Dependent variable: Assigned atlases
Equasion: m=months, a=assigned atlases a=6m
Graph: Starts at (0,0) and continues to increase at a constant rate of 6 assigned atlases per month

5) Mr. Buchman puts $200 on his checking account and then spends $10 per day for lunch.

Independent variable: Days
Dependent variable: money spent per day
Equasion: d=per day, m=money spent, t=total money t=$200-md
Graph:Starts at $200 and decreases at a steady rate

Comparing and Scaling Inv.1 math reflections

1. Explain what you think each word means when it is used to make a comparison.
a) ratio- part to part
b) percent- per-100
c) fraction- part to whole
d) difference- how many more or less a number is to another number

2) Give an example of a situation using each concept to compare two quantities. (150 total seventh graders, 80 girls, 70 boys)
a) ratio- 80 girls : 70 boys reduced to 8 : 7
b) percent- 53% are girls and 47% are boys
c) fraction- 80 over 150 reduced to 8 over 15 girls and 70 over 150 reduced to 7 over 15 boys
d) difference- there are 10 more girls than there are boys

Math Reflections Investigation Four

1) What has to be the same in order for two parallelograms to be similar?
2) Describe a way to find a missing side length in a pair of similar figures.
3) I have a small isosceles triangle with a base of 3 inches and other sides are 4 inches.I want to create a similar isosceles triangle with a base of 7.5 inches.What should the other side lengths be and why?

1) In order for two parallelogams to be similar all of the angles have to be the same and the scale factor has to be the same.

2) To find a missing side length in a pair of similar figures you have to, find the scale factor from the triangle with all of the side lengths to the triangle with te missing side length. Then you have to multiply the scale factor by the corresponding side length of the side with the missing length by the side with the missing length.

3)The other side lengths should each be 10 inches long. I know this because, the scale factor from the small triangle to the big triangle is 2.5. 4 multiplied by 2.5 is 10.

1) Think back to Mug Wump - how did you decide which characters were similar to him? How did you decided which characters were NOT similar to him?
3) If I used (x, y) to create Mug and I used (4x, 4y) to create a new character, Pug, how would Pug be similar to Mug? What is the scale factor from Mug to Pug? How many Mugs would fit into one Pug (area)?

1) I decided which characters were similar to him by seeing if their rule was added or subtracted by any number. I also checked to see if their length and width were multiplied by the same number or divided by the same number. Characters that weren't similar to him were either multiplied by different numbers, divided by different numbers, multiplied and divided by different numbers, or multiplied and divided by the same numbers.

3)Pug would just be 4 times bigger than Mug is. The scale factor from Mug to Pug would be 4. 16 Mugs would fit into Pug.

Let's say that my original paper is 8 inches by 10 inches. I type in 50% to the copier to reduce the paper. Using the math reflection rubric I handed out this year, answer the following questions on your blog (1 bonus point for answering in paragraph form instead of question/answer form):
1) Compare the oringinal paper's side lengths to the new paper's side lengths.
2) Compare the angles of the original to the new paper.
3) Compare the area of the new paper to the area of the original.

1) The original paper's side lengths are 8in. by 10in. The new paper's side lengths are 4in. by 5in. The new paper's side lengths are twice as small as the original paper's side lengths.
2) All of the angles stay the same, no matter how small or big you make the paper. You can have right angles, acute angles, or obtuse angles but they will always stay the same.
3) The area of the original paper was 80in.2. The area of the new paper is 20in.2.The new paper is 4 times smaller than the original paper

I think that you are having us blog so,we can do math class things from home.Ithink that it will help us by,making math class easier by using the computer.I think that blogging will slightley help us.The point of bloggin is to make math and language arts class easier.