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When subtracting some thing that isn't there use a Zero Pair.
In Grade 7 we wrote integers like this....
(+6)+(-3)=
In Grade 8 we now remove the things in the
question that we do not need....
6-3=
We were told to think of it as money.
Example:
You have 6 dollars and you owe 3 dollars.
Homework
-6-(-4)=-2 You have to use a Zero pair to take -4 away from -6.
-10+6=-4
You would add 6 to -10 but because it is a negative # you are adding o
n to you match the negative # with a positive and you end up with -4.
6-7+
2=1
I wold first match the negative #'s with a positive from the first 2 numbers (6
and -7). Then I would add on the 2 once again using the Zero pairs to get the answer 1.
14-(-3)=17
In this question you are once again taking away something that is no there so you use the zero pairs. First you must add on 3 Zero pairs then you have a -3 that you can take away. Once you have you are left with 17.
-3-(-7)=4
You have to add on 4 zero pairs to take away some thing that is not there.
-3-
7=-10
You have -10 because you have to once again use zero pairs this time you would ad
d on 7 pairs.
3-7=-4
For this question you have to add on 4 zero pairs to get your answer.
3+7=10
This is just like any other addition question.
-3+7=4
This question equals 4 because the #'s make zero pairs.
Multiplying Integers
The questions:
(+2)x(+3)=
(+2)x(-3)=
(-2)x(+3)=
(-2)x(-3)=
Audioboo:
The first question can be look at as two groups of positive three. So the answer would be positive six.
The second question is almost the same as the first but the three in this question is negative. So instead of positive you have two groups of negative three.
The third question is like removing two groups of three. To do this you have to use zero pairs. After you have taken two groups of positive three away you are left with negative six.
The last question is like the opposite of the one before it. You still use zero pairs and are still removing two groups of something. The difference is you are removing a negative number instead of a positive one. When you have used the zero pairs you will be left with a positive number meaning six.
Dividing Integers
Partitive division is when you use the number line to divide the integer.
Example:
6÷2=3
-6÷(-2)=
Quotative division is when you use sharing to get your answer.
Example:
(-6)÷2=
Multiplicative Inverse is when you use multiplication to get your answer.
Example:
6÷(-2)=
(-2)x(-3)=6
(-3)x(-2)=6
that mean that the answer to the division question would be 3.
Sign Rules...
When there is no negative sign or there is an even numbers the answer will be positive.
Example: 6÷2=(+3) There is no negative signs.
Example: -6÷(-2)=(+3) There is an even number of negative signs.
When there is an odd number of negative signs the answer will be negative.
Example: (-6)÷2=(-3) There is an odd number of negative signs.
Example: 6÷(-2)=(-3) There is an odd number of negative signs.
Order of Operations with Integers
The Question is...
(+5) x (-3) + (-6) ÷ (+3)=
The first thing that you need to know is that the order of operations is BEDMAS. BEDMAS means brackets, exponents and the brother sister pairs division and multiplication. The other pair is adding and subtraction. That is the order that they should be done in but with the brother and sister ones you go just from left to right.
Because there is no brackets other than the ones around one number and there is no exponents the first thing you will do is the multiplication of (+5)x(-3). To get (-15), so then the new question is (-15)+(-6)÷(+3)=. Then you have to divide (-6) by (+3). The answer is (-2) and the new question is (-15)+(-2)=. All you have to do then is to add them together to get the answer of (-17).
I think that in term 2 I did the best on my volume section. I found the work on that section the easiest. The part that was my favorite was figuring out the answers to the volume questions that had a piece out of them. I think that the thing I struggled on the most was remembering the formulas for the different problems. To do better I will practice the math more and also write things out. I think that by doing that I am more likely remember the things that I have learned for tests and the exam. I learned this term about how to add tax on to a price by using percent. The tax here in Manitoba are 12%. You have to find out what 12% of your price is and then add it to the price. I learned that surface area is measured in square units like cm^2 or km^2. I also learned how to get the surface by taking the shape apart and finding the area of the sides then adding that together to get the total surface area. I also learned about volume. I learned how to get the volume of a cylindrical, rectangular, and triangular prism. To find the volume of a rectangular prism you use the formula v=lxwxh. To find the volume of a triangular prism you use the formula v=bxh/2xh. The last formula was for the cylinder it was v=(pir^2)h. I also learned how to take a piece out of a prism you have to get the volume of both and then subtract the inside shape fro the outside one. The difference between surface area and volume is that volume is telling you what a shape is when you cube it. I is written as cubic.
Define Percent: Percent also known as hundredths can be represented as an fraction or a decimal and means out of 100.
In the first section of chapter 4 we learned how to represent a percent with hundred grids.
Example:
In the second section of the chapter we learned that a precent can also be represented as decimal and a fraction.
Example:
3/4, 0.75, and 75% all mean the same.
The third section of the chapter was about Precent of a Number. In this section we learned how to uses mental math like dividing by 10, doubling, and halving. We also learned to get the answer by writing the percent as a decimal and multiplying it by the number.
Example:
10.25% of 50= 0.1025 x 50
= 5.125
The last section of chapter 4 was about combining percents. to do this all you have to do is add the two percents together once that is done you can treat it just like any other percent to get your answer. (can be used for taxes by having a 1 before the decimal place to show it is more than 100%)
The movie "Pay it Forward" was about Trevor a young boy who's assignment at school was to change the world. He came up with a great idea "Pay it Forward". "Pay it Forward" is when you help three people and then each of those three people help three people. The chain of help would continue and the help would spread all over the world.
Part 2:
What was your "Pay it Forward" act of kindness?
I did two "Pay it Forward acts of kindness. The first one I did was I when to Cindy
Klassen recreation complex. I volunteered at a sports ccamp there that I went to
when I was younger. The second act of kindness I did was I helped out at the Parent
council canteen at the elementary Christmas concert.
Why did you choose this act of kindness?
I choose to do the first act of kindness because I went to the same sports champ when I was younger and it was aways fun to play the sports. I also thought that I would have fun there because it was all sports and I liked sports. I choose to do the second activity because my mom has been on the Parent Council for awhile and said that they always need help with it and there is never enough people there.
What did you do?
When I was at the first activity Igot to play all different sports with the young kids and help with the supervising of them. I went to the Cindy Klassen Recreation complex and helped out in a children sports camp that I went to when I was young. I volunteered there for two hours. I got to have fun and play with young children. He guy who runs the camp is named Coach Grant.When I was there we did activities like soccer, basket ball, badminton and I got to paddle a canoe. I had a lot of fun there. When I helped out at the Parent council canteen at elementary Christmas concert I was there with my mom. I got to make and do the adding for what the person had bought. I also got to give the person there food.
When did you do your act of kindness?
I did the first act of kindness on Saturday December 11th. I did the second act of kindness on Thursday December 16th.
This is a picture of me working at the canteen on the 16th (I was not able to get a photo of me at the first act of kindness).
Part 3:
How did your act of kindness go?
I thought that my act of kindness went pretty well because there was no real problems that I had to encounter.
What happened?
When I was at the sports camp for the young kids to help out Coach Grant the kids were very excited to havesomeone new there to help out. They were very kind to me and we had a lot of fun playing all the sports and running around. I stayed for two classes because I had so much fun there. During the second act of kindness I did I also had fun. I enjoyed helping the ladies there and they all were very kind to me and it was nice that they let me help out. My job there was to make the change and give people the food that they had bought. I also decided to stay a little bit after to help clean up the tables and put the risers back in the music room.
How did you feel?
After I had completed both of the acts of kindness I felt good about what I had done. I felt this way because I knew that I had helped Coach Grant, the Parent Counsel and even the kids that had gone to the camp. I had helped out people for nothing in exchange and it really made me feel good about myself because I did not expect something in return from the people that I had helped. It was a gift to them from me and not one that has to be returned by another gift to me but could be returned by another small act of kindness to a person in need of help.
If you did not ask the person to "Pay it forward" how come?
I did not ask the people that I had helped out to "Pay it Forward" and I am not really sure why I had not. I know that I did not ask the young kids to "Pay it Forward" because I thought that at the ages between 4-6 that they may not really under stand the meaning of the "Pay it Forward". But as for why I did not ask the Parent Counsel or Coach Grant is I think that maybe I thought that they were doing an act of kindness. Like the Parent Counsel was helping out the school and Coach Grant was teaching all the young kids.
Part 4:
Why is the idea of "Pay it Forward" important?
I think that the idea of "Pay it Forward" is important because if everyone did 3 random acts of kindness we really could change the world forever. If people were nicer to one another there might not be starvation and other things like that. That could happen with some simple acts of Kindness from everyone. With that said some people in the world really need food, clothing or even friends. These are simple things that could change many peoples lives.
Has your act of kindness made a difference?
I believe that my act of kindness has made a difference. I believe this because I think that any act of kindness no matter how big or how small will change and impact a persons life to make it better in some way.
