Integer Scribe Post

Integers 
Integers are negative and positive numbers which can be modelled with integer chips or a number line.



Number Line



Integer Chips





Adding Integers
You can think of adding integers in terms of money, like owe and have.
The negative number is what you owe and the positive number is what you have.
The addition sign just means and.
Ex: (-6) + (+4) = (-2)
    I owe 6 and have 4 = I owe 2

using integer chips you have to look for zero pairs. A Zero Pair is made when opposite quantities combine to make zero.

     







When adding integers with the same sign, you keep the sign and add the value of each number. Its just basically adding.

Steps on how to add integers with the same signs:
(-6) + (-4) = ?

1. Keep the sign. (-)
2.Add both numbers together.  [6 + 4 = 10]
3.Put in the sign with the numbers that were added up and that is your answer.  (-10)

(-6) + (-4) = (-10)

When adding integers with different sign, you keep the sign of the integer that has the largest value and then take away the smallest value from the largest.

Steps on how to add integers with different signs:
(+6) + (-4) = ?

1.Find the integer that has the largest value and keep the sign.
                           6 is larger than 4 so we keep the sign of the number 6 which is a positive.
2.The (-4) then becomes into a (+4)
3.Subtract the smallest integer from the largest integer and you get your answer.   (+6) - (+4) = (+2)

* Positive numbers are just the same as 6, 5, 24, 62, etc.

A video to help you understand on how to add add integers




Link to a game for integers:
http://www.arcademics.com/games/orbit-integers/orbit-integers.html

Heather's Pay it Forward

Part 1
Pay it Forward is doing an act of kindness towards others. It can be indirect or direct. You don't get anything in return, you just feel good about it. And if they do offer something in return you just tell them to pass on an act of kindness to other people.

Part 2
My Pay it Forward act of kindness was visiting a senior home Betelstadur.

I chose to do this activity because they are grandparents, parents, friend, daughter and son to others and they have been there for their family and friends. Others don't realize how big of a help they were to us, so I payed it forward to them as an act of kindness and appreciation. 

I helped out the seniors who lives alone at the senior home at Betelstadur.

There we accompanied the seniors. My friends and I served them free coffee and food like egg rolls, cupcakes, cookies, mandarins, etc. We chatted for a little bit and handed each one of them a Christmas card.

My friends and I did this act of kindness on Christmas Eve at Betelstadur during 1:00 P.M until 3:00 P.M.

Part 3
My act of kindness went very well. 

My friends and I along with my friend's mom, great aunt and my sister (Bethel) helped us buy supplies and ingredients for the seniors. We bought Christmas cards, supplies for baking, ingredients for the food we made and Christmas hats for us to wear. After buying the ingredients for the food we made, my friends and I went to cook the food and brought them over at the seniors home. We went to the seniors home around 10:30 A.M. and prepared the place for them. My friends and I then chatted a little bit with them and at 3:00 P.M. we cleaned up and went to celebrate Christmas Eve with our family and friends.

It was a long day for us, though it felt good seeing those bright smiles on their face.

They were very fond of our act of kindness for them, it was so nice seeing them interact with their neighbours and friends. 

We did ask them to Pay it Forward. They didn't react a lot, but while we were saying it, I saw a lot of them having serious faces and it seemed like it was for sure that they will pay it forward to someone else too. 

Part 4

Pay it Forward is important because it brings back the joy and love to all people. It shows how a small act of kindness can be a big difference to all people. This small act of kindness spreads bigger and is a world-wide action.

I do think that my pay it forward act of kindness has made a difference because to the seniors, they were not lonely and they gathered together to have a great time with those who love them and who they love the most.

Video of my friends and I performing Song for You by Bridgit Mendler and Shane Harper :

Heather's Percent Post

A Percent is an equivalent fraction out of 100. Percents are related to fractions. To get the percent in a fraction form you divide the numerator with the denominator and it will give you a decimal. You then multiply the decimal by 100, and it will give you a number out of 100.

N/D = Decimal/1
Decimal x 100 = ?/100

100 percent means everything (e.g 100/100 or 16/16). Per Meaning out of and cent meaning 100, so a percent means a number out of 100.
To find 100 percent, you divide the number  by 1,  and it will give you 100% of that number.
example: 100% of 40 = ?
               40/1 = 40
               100% of 40 is 40
50 percent means half or 1/2 or 50/100.
To find 50 percent, you divide the number by 2, and it will give you 50% of that number.
example: 50% of 40 = ?
                40/2 = 20
                50% of 40 = 20
10% means 1/10 or 10/100.
To find 10 percent, you divide the number by 10, and it will give you 10 % of that number.
example: 10% of 40 = ?
               40/10 = 4
                10% of 40 = 4
25 percent means 1/4 or 25/100.
To find 25 percent, you divide the number by 4, and it will give you 25% of that number.
example: 25% of 40 = ?
               40/4 = 10
               25% of 40 = 10
1 percent means 1/100.
To find 1 percent, you divide the number by 100, and it will give you 1% of that number.
example: 1% of 40 = ?
               40/100 = 0.40
                1% of 40 = 0.40



Representing Percents

180%                                                            12.3/4%
                                             

        

0.6%

Converting Fractions to Decimals and Percents: 88/50
Numerator divide by the Denominator
88 divide by 50 = 1.76
1.76 x 100 = 176%

Converting Decimals to Percents and Fractions: 0.0064
0.0064/1 x 100/100 = 0.64/100 or 0.64%
64/10000 divide by 16/16 = 4/625

Converting Percents to Decimals and Fractions: 750%
750 divide 100 = 7.5
750/100 = 7.5 or 7 1/2



Show How You Know: (Mental Math)
20% of 60:      60 ÷ 10 = 6
                        6 x 2 = 12
                        20% of 60 is 12

0.1% of 40:      40 ÷ 100 = 0.4
                         0.4 ÷ 10 = 0.04
                         0.1% of 40 is 0.04

250% of 400:   400 = 100%
                         400 ÷ 2 = 200 (50%)
                          200 x 5 = 1000
                          250% of 400 = 1000

Calculator:

20% of 60 :                               0.1% of 40:                           250% of 400
20÷100=0.2                                 0.1÷100=0.001                         250÷100=2.5 
0.2 x 60=12                                0.001 x 40=0.04                     2.5 x 400=1000
20% of 60 is 12                          0.1% of 40 is 0.04                     250% of 400 is 1000


Question #3 on pg 148:

a) 15 ÷ 100 = 0.15       b) 10 ÷ 100 = 0.1          c) 25 ÷ 100 = 0.25
    0.15 x 200 = 30            0.1 x 230 = 23             0.25 x 200 = 50
    30 + 200 = 230             23 + 230 = 253            50 + 200 = 250

Kyle is incorrect.



Discount - what you save
Sale Price - what you pay
Total Price - what you pay altogether with tax.
( Discount - Original Price = Sale Price)     (Sale Price + Tax = Total Price)


Show How You Know pg 148
Which is a better buy? What is the final price?
          Plate Collection $ 68.00
Store A: 50% off one day only
              68 ÷ 2 = $34

Store B: 25% off one day followed by 25% off the reduced price the second day.
             25 ÷ 100 = 0.25               $51 x 0.25 = $12.75
             0.25 x 68 = $17               $51 - $ 12.75 = $38.25
             $68 - $17 = $51

Store A has a better deal because it is less than Store B after the discount.





Video to help you learn more about percents.