Chapter 1:
grade 7 Integer Review
______________________
With integers, you have zero pairs.
zero pairs are when you have the same number of positive integers that you do negative, and they cancel themselves out.
ex. (+3) + (-3) = 0
There doesn't have to be brackets, but for beginners, it becomes useful when you have a longer equation to solve. Standard form is what people usually use.
ex.
+4 -4
4-4 <---that is standard form.
SIGN RULE:
When you have an even number of negative factors, the product is always a POSITIVE.
When you have odd number of negative factors, the product is always a NEGATIVE.
Chapter 2:
Multiplying Integers
______________________
(+3) x (+8)
(+3)(+8)
3(+8)
(+3) x (+3) <--- that means ' three groups of plus three'
+++ +++ +++ <--- three groups of plus three
________________________________
MULTIPLYING IS REPEATED ADDITION!!!
ex.
(+1) + (+1) + (+1) =
3 x (+1) =
_______________________________
(+2) x (+3)
The 'x' means 'groups of.'
(-2) x (-3)
This means remove 2 groups of -3
1. (4) x (+2) = ++ ++ ++ ++
2. (5) x (-2) = -- -- -- -- --
3. (-4) x (2) = ---- ----
4. (-6) x (-1) = ++++++
Chapter 3:
Dividing Integers
____________________
Partitive Division: How many parts
ex. 15 ÷ (-3) = 5
There are 5 parts of 3 in 15.
Quotative Division: Sharing in groups
15 ÷ 3 = 5
There are 3 groups of 5 in 15.
When both integers are the same, you can use both Partitive or Quotative Division.
ex.
(+15) ÷ (+3)
or
(-15) ÷ (-3)
Chapter 4:
Order of Operations
____________________
When you use the order of operations, you use BEDMAS.
Brackets [and square brackets]
Exponents
Division
Multiplication
Addition
Subtraction
Square Brackets [ ], come first in the order of operations. If you see brackets in the equation, but there are also square brackets, do the square brackets first.
To solve this problem, you would use BEDMAS to get the answer.
ex.
(+5) x (-3) + (-6) ÷ (+3)=
(-15) + (-2)=
= -17
REMEMBER: two Negatives equal a Positive.
Showing posts with label Kayla 814. Show all posts
Showing posts with label Kayla 814. Show all posts
Thursday, March 24, 2011
Tuesday, March 22, 2011
Kayla's Term 2 Reflection
In term 2, our class learned about percents, surface area, and volume. We did many things to help us learn and understand what to do, like doing textbook work and finishing homework in our math book.
In the beginning of the term, we learned how to Convert Fractions to Decimals. All you had to do was divide the Numerator by the Denominator. That was easy enough. Next, we learned how to Covert a Decimal to a Percent. That was easy, too. I had a fairly good understanding of what to do.
Getting the hang of Surface Area took more time. There were different shapes, and different formula's for each one. It was harder, but I still did it in the end. Volume was much easier. It was like surface area, but simpler.
In term 2, I commented on the blog a couple times, I never failed any of my tests and I always got at least 50% of it right. I learned from my mistakes, and I participated in class. Volume came very easily, and I think I did alright this term.
In term 3, I will try to post more on the blog, and I think I will comment more, as well. I will gather my materials, and try to remember everything that we are doing right now, so that I can do a fairly good job on the exams. I will try to be a better learner.
Tuesday, February 1, 2011
Kayla's Final Percent Post
- Understanding Percents
Percent:
- means out of a hundred.
- another word for hundreths.
- 65% means 65 out of 100 0r 65/100 or 6.5
- a percent that includes a portion of a percent such as:
- 1/2, 0.42%, 7 3/8%, 125, 3/4%, 4.5%
4.1: Representing Percents
- fractions, decimals, and percents can be used to represent numbers in various situations.
- percents can be written as fractions and as decimals.
- eg. 1/2% = 0.5%,
- 150% = 150/100
- you can convert and/or represent fractions, decimals and percents.
4.3: Percent of a Number
- you can use mental math strategies such as halving, doubling and dividing to find the percent of some questions.
- To calculate the percent of a number, write the percent as a decimal then multiply by that number.
- percents can be combined by adding to solve problems.
- eg. 5% + 7% = 12%
- To calculate the increase in a number, you can add the combined percent amount to the original number.
- eg. 12% of 100 = 0.12 x 100 = 12
- percents of percents can be used to determine amounts that result from consecutive percent increase or decreases.
Monday, December 20, 2010
Kayla Steen's Pay It Forward
Part 1
Pay It Forward to me was a very emotional and inspirational movie that you only find once in a while. After we had finished watching it, I had to admit that even I was crying. I don’t cry easy. When I think about it, I would like to meet the person that came up with pay it forward in the first place. I don’t know if it had in fact been a child, but if it had, I would have liked to meet him/her, all the same. What affected me the most would be the ending, again. It’s just that he died, and didn’t even do anything wrong. It was so sad, but to see all those people go and place flowers and to gather and acknowledge him, it was just terribly sad and beautiful. I wish that a child could change the world. It would show that if children can do it, why can’t you, too? Why can’t you change the world? Because you can’t? because it’s too big? No, it’s because you haven’t tried, and, I must admit, that I haven’t tried either. Because I want to, but don’t want to at the same time. I want to stay in my comfort zone. Where I feel safe. I don’t want to go out into the Big Bad World, because I’m comfortable now right here. I’m afraid that the world will eat me if I leave my family and the people I know, never to return and I don’t want to leave my comfort zone, even if I want to change the world. I guess that my will and wish to change it is too vague for the world to acknowledge. And I can admit that.
Part 2
What I did for my Pay It Forward took me a long time to figure out. Well, not really a long time, considering it had probably been 2 days, but it seemed so much longer to me.
Thereason that I couldn't come up with anything is because I'm not a very good thinker, but I completely make that up in wording... and actually reading, unlike some people I know. *cough cough* … *nudge nudge*(silence)
I'm not very good with ideas. Where was I, again? Oh, yes. I wouldn't have known a good idea if it hit me in the arse. forget writers' block. “Sorry, Good Idea, It just wouldn’t work out for us in a long-term relationship. I love your characters and themes but your plot is so hard to get along with. You’re just not my type. I need my space.” Yeah. Like that’s going to happen. So, contemplating this at home in my room, I was leaning back on my chair with my feet on the desk brainstorming, with no apparent luck, and my thoughts drifted to my neighbor, who lives not two doors down from our humble family of three (well, actually she does, but you don't know that yet). Mrs. Kreis, the women I was telling you about, is an elderly lady at the ripe old age of **. . . ( aha! not like I would tell you, nice try though…don’t worry, rammy is somuch older. As in millions of years older), and I was thinking about when our last encounter had been. If I remembered correct, I was pretty sure that I had not gone to her house in a week,and I was a little bit worried about how she was doing, if she needed help with anything, and so on. And that's when it hit me. Literally. (..I had fallen out of my chair from leaning back toomuch, and hit my head on hard wood. not a pleasant feeling, I remind you). But, nonetheless, Istill had it. I would have jumped 15 feet in the air (if i could, of course, but, unfortunately I can't) and got a piece of paper out of my binder that I scribbled like mad on while smiling triumphantly, thoroughly pleased with myself. I had decided I would make it my duty to make a good contribution to pay it forward, and I had found the perfect subject: Mrs. Kreis.When I thought of doing Mrs. kreis as the person I would help, I knew I had picked the right decision and person. Even whenI had visited her before, she always seemed bustling with life and purpose, fixing the garden, cleaning out the garage. But I always did wonder if, sometimes, by and chance, she ever got lonely? Well, that wouldn't do, now would it? No, it definitely would not.
So,I went to visit my old friend, because the day before I had decided that I would tell her about my proposition and all about Pay It Forward.Over tea, that is. Everybody loves tea cookies.
When I had finished telling her, I was feeling very excited at the prospectof doing the project. Inside, I was actually very nervous, because I really wanted to so it, but what if she refused?
But, in the end, she agreed anyway though, and I was very happy that I had made her so happy. For a second I though I might have seen tears, but I can’t be sure. (I speak no lies.)
What exactly did she agree to, you ask? Well, the pay it forward act of kindness I’m going to do, (wait for it) … is help my old, next door neighbor to shovel her walk, go carry her groceries when she goes out shopping, keep her company when she’s alone, and listen to her about things from a long time ago that she might want to talk about, to help her bake all the pastries that she knows I love and any other odd jobs she has around her house.
You see, it’s not that she doesn’t have family, she does, it’s just that she alone. She has children and grandchildren, and had a husband, but they are all in other places now. Her sons and daughters have all left home and grown up, they do visit with their children to greet and see grandma Freita, but they all live in different places and provinces. And, sadly, only last year Mrs. Kreis had lost her husband to Colon Cancer. I remember that he used to walk up and down the back lane by our house, and my dadwould talk to him and ask him how things were doing.
The time when I had done part of my act of kindness was when I, this night, had gone to Mrs. Kreis’s house to talk to her about when she was a child and how her family had survived through WW2. It was very emotional and I got to learn new things and I am grateful to her for what she has confided in me.
Part 3
My act of kindness went very well, and I hope to help more in the near future as well. It was all very interesting, but an insightful encounter and one that I hope to come by again soon. When I had gone through my act of kindness for the day, I felt very happy, but also solemn and I think it was because of the things she had told me about her childhood. She told me all these things, and I felt a warm tingly feeling in my chest because she already trusted me, and it feels good to be trusted in. I think the reason I did not ask her to pay it forward, is because I personally think that the paying it forward should be started by young people. Mrs. kreis was young, she had a happy life with no regrets, and I think she has already in her life, somewhere, already paid it forward. So, no, I don’t want to ask her to pay it forward, because I’m sure that somewhere she has already done so.
Part 4
I think the idea of “Pay It Forward” is so important because young people need to give back to the community the kindness that somebody else had shown them, from picking up the stuff you dropt, to holding the door foryou because of common courtesy, or anything at all. I personally don’t know if my act of kindness has done anything at all but I know that ,while it may not affect the whole world, it has helped a person who lives on that earth, and it has helped me, too.
Pay It Forward to me was a very emotional and inspirational movie that you only find once in a while. After we had finished watching it, I had to admit that even I was crying. I don’t cry easy. When I think about it, I would like to meet the person that came up with pay it forward in the first place. I don’t know if it had in fact been a child, but if it had, I would have liked to meet him/her, all the same. What affected me the most would be the ending, again. It’s just that he died, and didn’t even do anything wrong. It was so sad, but to see all those people go and place flowers and to gather and acknowledge him, it was just terribly sad and beautiful. I wish that a child could change the world. It would show that if children can do it, why can’t you, too? Why can’t you change the world? Because you can’t? because it’s too big? No, it’s because you haven’t tried, and, I must admit, that I haven’t tried either. Because I want to, but don’t want to at the same time. I want to stay in my comfort zone. Where I feel safe. I don’t want to go out into the Big Bad World, because I’m comfortable now right here. I’m afraid that the world will eat me if I leave my family and the people I know, never to return and I don’t want to leave my comfort zone, even if I want to change the world. I guess that my will and wish to change it is too vague for the world to acknowledge. And I can admit that.
Part 2
What I did for my Pay It Forward took me a long time to figure out. Well, not really a long time, considering it had probably been 2 days, but it seemed so much longer to me.
Thereason that I couldn't come up with anything is because I'm not a very good thinker, but I completely make that up in wording... and actually reading, unlike some people I know. *cough cough* … *nudge nudge*(silence)
I'm not very good with ideas. Where was I, again? Oh, yes. I wouldn't have known a good idea if it hit me in the arse. forget writers' block. “Sorry, Good Idea, It just wouldn’t work out for us in a long-term relationship. I love your characters and themes but your plot is so hard to get along with. You’re just not my type. I need my space.” Yeah. Like that’s going to happen. So, contemplating this at home in my room, I was leaning back on my chair with my feet on the desk brainstorming, with no apparent luck, and my thoughts drifted to my neighbor, who lives not two doors down from our humble family of three (well, actually she does, but you don't know that yet). Mrs. Kreis, the women I was telling you about, is an elderly lady at the ripe old age of **. . . ( aha! not like I would tell you, nice try though…don’t worry, rammy is somuch older. As in millions of years older), and I was thinking about when our last encounter had been. If I remembered correct, I was pretty sure that I had not gone to her house in a week,and I was a little bit worried about how she was doing, if she needed help with anything, and so on. And that's when it hit me. Literally. (..I had fallen out of my chair from leaning back toomuch, and hit my head on hard wood. not a pleasant feeling, I remind you). But, nonetheless, Istill had it. I would have jumped 15 feet in the air (if i could, of course, but, unfortunately I can't) and got a piece of paper out of my binder that I scribbled like mad on while smiling triumphantly, thoroughly pleased with myself. I had decided I would make it my duty to make a good contribution to pay it forward, and I had found the perfect subject: Mrs. Kreis.When I thought of doing Mrs. kreis as the person I would help, I knew I had picked the right decision and person. Even whenI had visited her before, she always seemed bustling with life and purpose, fixing the garden, cleaning out the garage. But I always did wonder if, sometimes, by and chance, she ever got lonely? Well, that wouldn't do, now would it? No, it definitely would not.
So,I went to visit my old friend, because the day before I had decided that I would tell her about my proposition and all about Pay It Forward.Over tea, that is. Everybody loves tea cookies.
When I had finished telling her, I was feeling very excited at the prospectof doing the project. Inside, I was actually very nervous, because I really wanted to so it, but what if she refused?
But, in the end, she agreed anyway though, and I was very happy that I had made her so happy. For a second I though I might have seen tears, but I can’t be sure. (I speak no lies.)
What exactly did she agree to, you ask? Well, the pay it forward act of kindness I’m going to do, (wait for it) … is help my old, next door neighbor to shovel her walk, go carry her groceries when she goes out shopping, keep her company when she’s alone, and listen to her about things from a long time ago that she might want to talk about, to help her bake all the pastries that she knows I love and any other odd jobs she has around her house.
You see, it’s not that she doesn’t have family, she does, it’s just that she alone. She has children and grandchildren, and had a husband, but they are all in other places now. Her sons and daughters have all left home and grown up, they do visit with their children to greet and see grandma Freita, but they all live in different places and provinces. And, sadly, only last year Mrs. Kreis had lost her husband to Colon Cancer. I remember that he used to walk up and down the back lane by our house, and my dadwould talk to him and ask him how things were doing.
The time when I had done part of my act of kindness was when I, this night, had gone to Mrs. Kreis’s house to talk to her about when she was a child and how her family had survived through WW2. It was very emotional and I got to learn new things and I am grateful to her for what she has confided in me.
Part 3
My act of kindness went very well, and I hope to help more in the near future as well. It was all very interesting, but an insightful encounter and one that I hope to come by again soon. When I had gone through my act of kindness for the day, I felt very happy, but also solemn and I think it was because of the things she had told me about her childhood. She told me all these things, and I felt a warm tingly feeling in my chest because she already trusted me, and it feels good to be trusted in. I think the reason I did not ask her to pay it forward, is because I personally think that the paying it forward should be started by young people. Mrs. kreis was young, she had a happy life with no regrets, and I think she has already in her life, somewhere, already paid it forward. So, no, I don’t want to ask her to pay it forward, because I’m sure that somewhere she has already done so.
Part 4
I think the idea of “Pay It Forward” is so important because young people need to give back to the community the kindness that somebody else had shown them, from picking up the stuff you dropt, to holding the door foryou because of common courtesy, or anything at all. I personally don’t know if my act of kindness has done anything at all but I know that ,while it may not affect the whole world, it has helped a person who lives on that earth, and it has helped me, too.
Tuesday, November 9, 2010
Kayla's Estimating Square Roots
Pg. 100, #14, 15
________________________
14. Alex is thinking of a number. The number has a square root between 7 and 8, and it is a multiple of 12.
a) What number is Alex thinking of?
The square root of 7 is 49, and the square root of 8 is 64. 60 fits in between 49 and 64 and is a multiple of 12.
- 12 x 5 = 60
_________________________
15. Order the following numbers from least to greatest.
- 7, 6.7, 5.8, 5.1, 6.3 (I couldn't make the symbol for squaring, sorry. These are the simplified versions.)
_________________________
Here is a link for a video that shows you how to calculate square roots without a calculator! Enjoy.
Monday, October 18, 2010
Kayla's Sesame Street Video Post
MEMBERS
Kayla S
- The dealer
Shane A- The buyer
Kim C- The shy camera women
Part 1
Ratio-
two-term ratio- compares two quantities(things) measured in the same units
three-term ratio- compares three quantities(things) measured in the same units
part-to-part ratio- compares different parts of a group to each other
part-to-whole ratio- compares one part of a group to the whole group
(ex. one: two/ 1:2, one: two: three/ 1:2:3, apples to bananas/ 2:7, quarter: dollar/ 1:4)
Rate-
rate- compares two quantities in different units
unit rate- a rate in which the second term is one
unit price- a unit rate used when shopping
(ex. 3 erasers/ $0.75, 64 heart beats/ 1 min, $3.00/100 g)
Proportion-
proportion- a relationship that says that two ratios or two rates are equal
(ex. erasers/ $ 3 erasers/ $0.75 = 12 erasers/ $3.00)
Part 2
Wednesday, October 6, 2010
Kayla's Math Profile
Hi, my name is Kayla and I am a student in grade 8. I think if someone asked me if I liked math, I'd say "only when I get it right or figure something out that i didn't know before." It's not really that I don't like math, I do, but sometimes when I'm learning new things, I don't really have a lot of patience, so I end up not liking math all the time. I still like parts of math, though. I always liked playing with numbers, and I like adding and multiplying. I always hated subtracting. In grade 3 and 4 I really liked adding because it didn't take really long and it was really simple. Subtraction on the other hand, you could say, was not my strong point. I really didn't like it because it took so long and confused me. I still dont like it to this day. To be honest, I don't really know the best thing I've done in math class. I know that I always feel great if I do good on a test, or if I figure a question out that nobody else has, but I just dont know what the best thing may be.
Last year in grade 7, the unit that I am most comfortable with would be grid work. I always liked finding coordinates. I think I liked this unit so much was because there was just something about finding coordinates that made me feel really content (i know, that sounds really stupid, but it's true). Maybe part of it was because sometimes last year there would be some grids that had the coordinates that made simple designs or pictures that made me happy. I guess you could say that I get easily distracted and I'm narrow minded. There was one time last year, where I got lost, and I didn't understand at all what was going on. It was pretty embarassing knowing that everybody knew it and I didn't. I don't like being left behind. But it wasn't entirely my fault. I was sick. Sort of. i think this year, if I really want to get better, all I have to do is pay more attention. I think it's that simple.
This year in grade 8, I dont know exactly what we will be doing, but I hope that this year we learn something about algebra. Why, you ask? I don't really know. It just seemed like a fun way of doing math. I'm pretty weak willed, and when I decide to do something, I just end up not doing it. I don't think I have enough conviction. It's not really that I dont want to do it, I just don't end up doing it. This year I'm going to have to work harder than before if I'm going to be serious about this. I'll try.
Last year I did some blogs, and I found this one at random, but I really liked this blog, even if I did screw some of it up. Sorry before hand.
http://room43math09.blogspot.com/2009/11/parallel-and-perpendicular-lines.html
(copy this to find my super-awesome blog did last year. Sorry about the link, I couldn't do it properly. Sorry for the inconvenience)
I liked making posts where people would give me lots of positive feedback and would point out my errors so I didn't make them again. this year I hope that I will get the same feedback from my fellow peers. I hope this will be a fun year in math for all of us!
Thank-you.
Last year in grade 7, the unit that I am most comfortable with would be grid work. I always liked finding coordinates. I think I liked this unit so much was because there was just something about finding coordinates that made me feel really content (i know, that sounds really stupid, but it's true). Maybe part of it was because sometimes last year there would be some grids that had the coordinates that made simple designs or pictures that made me happy. I guess you could say that I get easily distracted and I'm narrow minded. There was one time last year, where I got lost, and I didn't understand at all what was going on. It was pretty embarassing knowing that everybody knew it and I didn't. I don't like being left behind. But it wasn't entirely my fault. I was sick. Sort of. i think this year, if I really want to get better, all I have to do is pay more attention. I think it's that simple.
This year in grade 8, I dont know exactly what we will be doing, but I hope that this year we learn something about algebra. Why, you ask? I don't really know. It just seemed like a fun way of doing math. I'm pretty weak willed, and when I decide to do something, I just end up not doing it. I don't think I have enough conviction. It's not really that I dont want to do it, I just don't end up doing it. This year I'm going to have to work harder than before if I'm going to be serious about this. I'll try.
Last year I did some blogs, and I found this one at random, but I really liked this blog, even if I did screw some of it up. Sorry before hand.
http://room43math09.blogspot.com/2009/11/parallel-and-perpendicular-lines.html
(copy this to find my super-awesome blog did last year. Sorry about the link, I couldn't do it properly. Sorry for the inconvenience)
I liked making posts where people would give me lots of positive feedback and would point out my errors so I didn't make them again. this year I hope that I will get the same feedback from my fellow peers. I hope this will be a fun year in math for all of us!
Thank-you.
Subscribe to:
Posts (Atom)