Jacob's Multiplying Integers Scribe Post

Multiplying Integers-

3x4=12 

Repeated Addition: 4+4+4=12

Three groups of four

3x(-4)=                           (-2)x(+3)= -6

(-4)+(-4)+(-4)=12      / \   Remove 2 groups of +3      / \

3 groups of (-4)         |____(+++) (+++) _____________|

(----) (----) (----)                    ---     ---

(  )= groups    

                             (-2)x(-3)=+6

                             Remove 2 groups of -3

                       /\      +++  +++       /\

                        |____(---)  (---)_____|

(-2)x(+3)= removing groups        (+2)x(+3)= make groups

(-2)x(-3)= removing groups         (+2)x(-3)= make groups

Jacob's Integer Scribe Post

Subtracting Integers- To remove what isn't there, you must add a zero pair.

1. -8--8= 

#1: You should never write positive or negative, instead you write either have or owe. If there is a double negative, then you remove and if there is no double negative, you just write "and".

Ex: -8--8(double negative)=

      Owe 8 remove owe 8

#2: the second step is showing your diagram. You can't remove what isn't there and that's where the zero pair comes in. To remove what isn't there, you must add a zero pair.

Ex: -8--8(double negative)= 0

       Owe 8 remove owe 8                                /\

       _ _ _ _ _ _ _ _ _   _ _ _ _ _ _ _ _   ________|

                                  + + + + + +++

       | _ _ _ _ _ _ _ _|

       |+ + + + + +++|

*Negative 8 is turned into positive 8

2. 3--7(double negative)= +10

    Owe 3 remove owe 7           / \

    _ _ _  _ _ _ _ _ _ _   ________|

             + + + ++++

    |_ _ _|

    |+++ |++++

    

Jacob's Pay It Forward

I PART 1:

Paying it Forward is doing a simple act of kindness without asking that person for anything in return other than paying it forward to another person. Pay it forward was an idea that started off as a school project but instead turned into something even better than they had anticipated. Pay it forward is a simple idea of giving back to the people that had helped you in the past. Pay it forward is as simple as donating canned goods to your nearby food drives that would then go to the less fortunate or if you don't have canned goods to donate, you can shovel your neighbour's driveway for them. The idea of pay it forward is basically giving back to your community and to the people that had helped you in the past and also because there is no greater feeling than knowing that you have tried to make a difference. Doing a simple act of kindness such as volunteering at a soup kitchen can come a long way in making a difference in someone's life.

PART 2: 

For my pay it forward act of kindness, I voluntarily shovelled my neighbour's walk. My neighbour is an elderly woman and so I figured that it would the right thing to shovel it myself for her. I had already volunteer to shovel my parent's driveway and front yard and so I figured that it would be a nice thing to shovel my neighbour's walk. I chose to do this activity because I thought that it would be a  nice thing to do since it was the holiday season and the holidays is about giving back. I shovelled my neighbour's walk after every heavy snowfalls during the holidays and over the break.

PART 3:

I think that my act of kindness went well and I felt really good about doing it afterwards. I think that if you were to ask every grade eight student about how they felt after  doing their act of kindness, I think that they would say that they felt great and so did I. I do not really know how my elderly neighbour reacted to my act of kindness but my parents saw me do it and said that it was very  thoughtful. I also did not get to ask her to pay it forward, however, I did leave a Merry Christmas card and wrote pay it forward and left it in her mailbox. 

PART 4: 

I think the idea of pay it forward is important because it teaches others that not everyone that does a good deed needs something in return. I think it's important because it teaches us important lessons that we could use in the future. 

Jacob's Percent Post

Percent means...

• A percent is an equivalent fraction out of 100

• 100%- all, whole, everything, 40/40, 100/100
• 10%- 10/100
• 50%- half, part/whole
• 25%- quarter, 25/100
• 1%- out of 100, 1/100

• % = /100
• 205/100 is an improper fraction or top heavy
• The reason why 100 is used is because it is an easy number to work with
• In french, the word percent is split into two words, "per" being "out of" and "cent" being "100"

Representing Percents on a Grid:

• A) 180%

• B) 0.6%

• C) 12 3/8

Converting Percents:

• A ratio statement out of 1

          Fraction - Decimal - Percent

• 3/4: 3/4= 0.075/1(0.075/1 x 100) = 7.5/100 or 7.5%

          Decimal - Percent - Fraction

• 0.0064/1 = 0.64/100 or 64%     0.0064/10 000 = 64/10000 (Use place holder - Simplify)

                                                                                       32//5000 -> 16/2500 -> 8/1250 -> 4/625

          Percents - Decimal - Fraction

• 750%/100(/100) = 7.5/1     7 5/10 or 7 1/2

• PERCENT OF A NUMBER:
• Percent of a number is the next part of this exercise. Show how you could solve the following using mental math and calculator.

20% of 60

20 ÷ 100 = 0.2

0.2 x 60 = 12

20% of 60 = 12

0.1% of 40

0.1 ÷ 100 = 0.001

0.001 x 40 = 0.04

0.1% of 60 =  0.04

250% of 400

250 ÷ 100 = 2.5

2.5 x 400 = 1000

250% of 400 = 1000

• COMBINING PERCENTS:
• Combining Percents is the last part of this post. You need to explain Discount, Sale Price and Total Price with taxes. I also need you to explain what is a better deal 50% off or 25% off of an already reduced price of 25%. This can be done using the following questions,

• How to find the SALE PRICE: Take the regular price and subtract it by the discount.

-Sale Price: What you pay

• How to find the DISCOUNT: Take the percent of the discount and divide it by 100 and then multiply it by the regular price.
• Total Price Including Taxes: If the tax is 13%, you need to add 13% to the sale price which is 100%.

           13+100=113(Total price+Taxes)                      

           113÷100=1.13

           1.3 x 147.99 = 192.387 or 192.39

Add 13 and 100 together which is the tax added to the total price. Then divide 113 by 100 and multiply by the total price(147.99) 

-Discount: What you save

 25% off of an already reduced price of 25% and 50% off are both good deals because 25% + 25% is the equivalent of 50%

e.g. 25 ÷ 100 = 0.25
     0.25 x 250 = 62.5
                                   = 125
     25 ÷ 100 = 0.25        250 - 125 = 125
     0.25 x 250 = 62.5

    50 ÷ 100 = 0.50
    0.50 x 250 = 125    = 125
                                       250 - 125 = 125