Olivia's Great Big Book of Integers

Chapter 1
Grade 7 Integer Review
Integers can be represented with a number lines or integer chips.

integers are usualy represented with two colors red and blueNegative - Blue
Positive - Red

Zero Pairs - a pair of negative and positive numbers and the sum is zero.

ex. (-3) + (+3) = 0.
This is a rhyme you should sing to yourself during a test if you can't remember when to use a zero pair.
When subtracting something that isnt there, use a zero pair.

In grade 7 we did integers like this
(-3)+(+7)= the thing about doing integer in grade 7 is there is brackets.

Here are some questions:

13. a)(+4)x(+6)=24
d)( -8)x(-2)=16

Chapter 2
multiplying integers

Here are some questions we did.
10. a(17)x(-24)= -408
b(34)x(22)=56

For a multyplycation question that needs a zero pair you can see how many zero pairs you need by multiplying the two factors in the question without their negative or positive signs.

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

chapter 3

Dividing Integers

Partative Division or groups of, If you know the number of groups, but you dont know the number in each group then that is partative division.

1.6÷2=3
6 groups of 2

2. 3÷2=1.5
3 groups of 2

Quotative Division

If you know the number that is in each group, but you dont know the number of groups then that is quotative division.

1.(-6)÷(2)= -3

another way to mutiply intgers is multiplicated-inverse

-2÷-3
-3÷-2

-In a division question with an even amount or no (-) signs the quotient will be positive.
-In a divison question with an odd amount of negative signs the quotient will be negative

Chapter 4

Order of operation with integers

(+5) x (-3) + (-6) / (+3) =

To do order of opration u won't to follow the rules of B.E.D.M.A.S. Brackets, Exponents( except there are no exponents in bedmas) , Division, Multiplication, Addition, Subtraction.

First add square brackets around the expressions with a x or / to help remind you to answer them first. The square brackets means that you should answer the question in them before doing anything else.

1.-6-9+10-1= -6

Sophia's Volume Post

The definition for Volume is:
Volume is the amount of space an object takes up.
Or to make it sound better and be more specific it is:
Volume is the measure of the amount of space inside of a solid shape like triangle, cylinder or cube.
The formula for volume is b=base bxh or lxw l=length
h=hieght w=width

a 2 means a squared

Sorry I am not able to post up any pictures.
So I'll just do this.

B

6cm C 9cm

A
a 2+b 2= c 2
6 2+ 9 2=c 2
(6x6)x(9x9)=c 2
36+81=c 2
117=c 2


A
5cm C

B
5cm

a 2+b 2=c 2
5 2+5 2=c 2
(5x5)+ (5x5)=c 2
25+25=c 2
50 2=c 2

52cm
B A 20cm

C

a 2+b 2=c 2
20 2+52=c 2
(20x20)+(52x52)=c 2
400+2704=c 2
3 104=c 2

Mussie's Term Two Reflectionand

In term 2 we learned about surface area, percents and volume .Surface area was easy to me i understand it and i did really well on my test . Next we learned about percents. Percent was kinda hard for me because i didn’t review or go over the stuff that i didn’t get. But at the end I did get it and learned it very well. Also i kinda did struggle on volume because I had a hard time remembering the formula. Next time i’ll be replying to the blogs more often and study hard and pass all of my tests.

Joshua's Great Big Book Of Integers

Chapter 1

Grade 7 Integer Review

Integers can be represented with number lines or integer chips.

Negative - Blue
Positive - Red

Zero Pairs - a pair of negative and positive numbers whose sum is 0.

ex. (-8) + (+8) = 0.

This song will help you remember when to use a zero pair:
When subtracting something that isnt there, use a zero pair.

This is how we did integers in Grade 7.

Here are some questions we did.

Chapter 2

Multiplying Integers

Here we learned how to multiply integers. Here are some questions we did.

For questions needing a zero pair you can find out how many zero pairs you need by multiplying the two factors in the question without their negative or positive signs.

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

6 zero pairs

Chapter 3

Dividing Integers

Partative Division or groups of

If you know the number of groups, but you dont know the number in each group then that is partative division.

Quotative Division

If you know the number that is in each group, but you dont know the number of groups then that is quotative division.

You could also find the answer to a division question using multiplicated-inverse

In a division question with an even amount or no (-) signs the quotient will be positive.
In a divison question with an odd amount of negative signs the quotient will be negative.

Chapter 4

Order of Operations with Integers

(+5) x (-3) + (-6) / (+3) =

To answer this question you will need to folow the rules of B.E.D.M.A.S. Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

First add square brackets around the expressions with a x or / to help remind you to answer them first. The square brackets means that you should answer the question in them before doing anything else.

Summer's Term Two Reflectionand

In term two we learned about volume, percent, and surface area. I did pretty well but struggled at first. i will do better this term by leaving more comments and studying for tests. i learned the formula for volume pi x r x r x h or pi x r *2 x h that's for a cylinder. For a triangular prism its b x h /2 x h. And for rectangular prism its l x w x h. In percent we learned about converting percent. And for surface area we learned the formulas for finding circumference, diameter and radius.a cylinders formulas are: for the circumference its pi x 2 = c for diameter its r x 2 = d for the radius its d / 2 = r and to find the area its pi x c = a. the formulas for a triangular prism are: b x h / 2 and l x w. And lastly for rectangular prism its l x w. And that is my term 2 reflection.

Sophia's Term Two Reflection

In term two we learned about Volume, Surface Area, and Percents. I think I did really well when we were working on Surface Area.ex
a 2 + b 2=c 2
5 2+5 2=c 2
(5x5) +(5x5)=c 2
25+25=c 2
50 2=c 2
At first I didn't understand it but after awhile it was really easy. Espeasially unwrapping a cylinder, rectangular prism,and triangle prism.
Another thing that was pretty easy was volume.
I learned that by using a piece of string and going around a circle leaves a gap which is 3.14 and that's for any shape or size. I learned stuff like pi x r x r.
The things I think that I did poorly in was pecents and I think it was because I wasn't really interested in it and that I wasn't asking any questions. Next time I will ask my dad or a friend for help. I think that working more on the blog will increase my term 3 mark and getting ready and ahead the day before a test or qiuz so if theres something I don't get I can ask for help.

Summer's Great Big Book Of Intergers

Chapter one: Grade 7 integers review

Integers
- number line
- integer chips
- zero pair



























- negative and positive numbers

Integers










































- Number line


Song:
"When subtracting something that isn't there use a zero pair"



Find the zero pairs for the following integers

-6 +10 -16 63
+6 -10 +16 -63


-11 +11

+ 14 -14

19 -19


integers Ala grade 7

have 4 owe 4
(+4) + (-4) = O

Brackets are training wheels.
Standard form:

+4 + -4
+4 -4

pure standard form:
4 -4

























3 -2 = Subtraction = adding a negative integer.











Questions:

-3 - (-7) = -10

-3 - 7 = 10

3 - 7 = -4

3 + 7 = 10

-3 + 7 = 4


Chapter 2 multiplying integers:

multiplying integers:

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

(2) x (3) = 6

(2) (3) = 6 2 (3) = 6
standard form





(=2) x (+3) = 6

or

2 groups of ( +3) = 6










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

or

2 groups of (-3) = -6











(-2) x (+3)

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

remove 2 groups of (+3)
(use zero pairs)









( -2) x (-3)
remove 2 groups of (-3) = +6















(-3) x (-4) = + 12











(+2) x (+4) = +8

(+5) x (-2) = -10

(+4) x (+2) = -8 - 4 x 2 for zero pairs remove (+) left with (-)

(-6) x (-1) = -6




Sign Rule: (negative signs)

Even: when you have an even number of negative factors the product is positive.

Odd: when you have an odd number of negative factors the product is negative.




Chapter 3 dividing integers:

Partitive division using a number line:

6 / 2 =

















-6 / (-2) =


















Quatative Division:

(-6) / 2 = -3


Multiplicative Inverse:

6 / (-2) = 4

Sign Rule for Division: using

6 / 2 = 3

-6 / (-2) = -4

(-6) + 2 = -4

6 / (-2) = 4



Chapter 4 order of operations with integers:

explain how to solve this:

(+5) x (-3) + (-6) / (+3) =

[(+5) x (-3)] + [(-6) / (+3)] =

-8 + -17 = -25

first add extra brackets then do the problems that are inside the extra brackets then add the two numbers that came from the extra brackets together and you have your answer.

Samarab Term 2 Reflection

Term 2 Reflection

In term two we learned about percent , Surface Area , and volume they were all kinda hard and some were really easy and i really enjoy learning about theses subjects. I did well on Volume because i understood what i was doing and i got the hang of it faster. I think i Struggled in surface area because i didn’t really under stand it and it was kinda hard for me. I will do better in surface area , and percent and try to get it and ask for help when i need it. In percent learned how to find 100 and divided it by 100.

I WILL DO AUDIO BOO LATER

Olivia'S Term 2 Reflection

Term 2 Reflection

This term i think i did very will on TSA and volume because i worked really hard on trying to figure it out and i asked some question than usual and i enjoyed learning about these subjects. I really struggked in percent because i was not here when we were learning and i did not ask questions so in reasult i did really bad in that subject maybe if i would have asked question and read the blog i could have done a lot better so my goal for term 3 is to ask question read the blogs and be at school and if i am not asking my friends or teachers what i missed so i can hand in assignments.IN term 2 i learned at lot of different things mostly in TSA and volume i learned formula’s and how to calculale the area of shapes like triangle, rectangle and cylinder prisims. In percent i didn’t really learn a lot in all honesty i don’t really remember but here is one thing i remember that the whole is always hundred so 60% could be a whole so in this case 60% is a 100% so over all term 2 was okai but i hope to do better next time.

Term Two Reflection AudioBoo

For term two I did well on volume I learned the basic things like pi x r x r x h is for the volume of a cylinder. I struggle on surface area because i didn't really get it. Also for percents i had a really hard time understanding it I also learned about the volume of a rectangular prism and triangular prism is base x height. Next term i hope to do better in term 3 and to do allot better on my tests and quiz's to get a better grade.

Term 2 Reflection AudioBoo

Term 2 Math Reflection

In Term two we learned about percent,total surface area and volume.I did well on the TSA unit in term 2 I struggled in the volume unit because I didn’t practice enough.I think if I read more of the blogs more and learned easier methods I would have been better .The things I learned about percent is finding parts/amounts of certain things.In TSA,we learned how to find the size of different shapes and in volume we earned how space something takes up.


I will upload the audioboo later.

Jomer's Great Big Book Of Integers

Chapter 1 Grade 7 Integer Review

Questions:
-3 - (-7)= +4
-3 -7= -10
3 -7= 4
3 +7= 10
-3 +7= 4

Chapter 2 Multiplying Integers

(+2) x (+3)=

(+2) x (-3)=

(-2) x (+3)=

(-2) x (-3)=

Sign Rule (Negative signs)
Even: When you have an even number of negative factors the product is positive.
Odd: When you have an odd number of negative factors the product is negative .

Chapter 3 Dividing Integers

Partitive Division is how many groups of a number are in a given value.

Quotative Division is sharing a certain number between a given value.

Sign Rule

In a division question with an even amount or no (-) signs the quotient will be positive.
In a division question with an odd number of (-) signs the quotient will be negative.

Order of Operations with Integers

[(+5)x(-3)]+(-6)/(+3)=-7

(-15)+(-6)/(+3)=-7

(-21)/(+3)=-7

Brandon's Term 2 Reflection

Katerina'sTerm Two Reflection

Listen!'>Term Two Reflection







Sorry I didn't know how to add the thing on like everyone else.





Hello, I am Katerina from room 8-73!



Term two:



I did very well in volume and surface area. I really enjoyed working on it. One thing I really struggled on is the percent unit. In percent I learned how to find the tax of an object. Next term I hope to do better and finsh all of my homework! Also, i hope to do better in term three. The difference between surface area and volume is that the volume is the volume of and surface area is the surface of the object. then you add it up and to get Total Surface Area!

Thanks.

Joshua's Term 2 Reflection

In Term 2 we learned about percents, surface area and volume. I didn't really do well in percents because I didn't study at all so my marks definitely were bad. In surface area and volume I did great! I actually understand how to do both of them and I did great on the tests. I understood what to do and I knew what the formulas were. I learned that to find the volume of a rectangular prism and a triangular prism is area of base x height. I also learned that to find the volume of a cylinder is pi x r x r = h. Next term I will listen more in math class so I could get perfect on my tests. And I will also do more blogs.

Sophia's Great big book of integers

Integers can be positive or negative odd or even. A negative number is a number that is less than O. An even number can be divided by 2. An odd number can't be evenly divided by 2. O is an even number and it is not positive or negitive just 0

-NEGATIVE is blue
+POSITIVE is red
BOTH=zero pair

Remember the song "use a zero pair when subtracting something that is not there"
(use this song it will help)

Grade 7 way
Using brackets ( )

Standard form
Not using brackets ( X )

If you are having trouble and you don't understand intergers use a number line or think of it as money.(try it out right now)

Even= When you have an even number of negative factors the product is POSITIVE
ODD= When you have an odd number of negative factors the product is negative

Examples:

-11-(4)=-7 - - - - - - - (- - - -) Take this away

22-(-9)

22-+(-9)=31 + + + + + + + + + + + + + + + + + + + + + +

- - - - - - - - -

+ + + + + + + + +

These are supposed to be zero pairs
(sorry about the whole zero pair thing )

Sorry that I don't have blue and red circles but I think you get it

-9 +4 +(-9)

-9 +4 -9 Sorry I tried making a number line but it didn't work

-9 -9 +4 But a number line is a good strategy-for me anyway

-18+4= -14

example of multyplying integers:

7X-2

Forget the signs and multyply normaly

7X2= 14
Now you can go back to the signs
You know that a positive times a negative is a negative
So your answer is obviously -14

Sorry that I didn't do any of the chapters

Term 2 Reflection

Please read along! Thank you!

Term 2 Reflection

In term 2 I did really good in volume because I really understood what to do and how to do it. In this term I kind of struggled in surface area because I didn’t really understood the formula or how to solve the questions. In term 3 I will focus more then term 2 and really try to ask for help if i didn’t understand anything. In percent I had learn how to find how many percent of things that is contained in something. For example we learned how to find how many percent of apple juice is in the carton after 10 people had a glass of it. In surface area I learned how to find areas of different kinds of shapes. Finally in volume I learned how to find how much the whole shape is. The differences between surface area and volume is in surface area you are finding how many units there are outside and in volume you are finding how many units there are inside.

Brandon's Great Big Book of Integers

Chapter 1

Grade 7 Integer Review

Questions for class

-8 - (-4) = -4

-10 + 8 = -2

8 - 7 + 2 = 3

17 - (-3) = 14

- 5 - (-7) = 2

- 2 - 5 = -7

3 - 7 = -4

5 + 5 = + 10


-5 + 6 = - 1

Chapter 2

Multiplying Integers
(+4)x(+2) = 8

Make 4 groups of positive 2


Make 4 groups of negative 2

(+4)x(-2) = -8

(-4)x(+2) = -8
Remove 4 groups from positive 2


(-4)x(-2)= 8

Remove 4 groups of negative 2

Chapter 2

Dividing Integers

Even = When you have a even number of negative factors your product is positive.

Odd = When you have a odd number of negative factors your product is negative.

Partitive Division - when you use groups to find your quotient.

6 ÷ 2 = 3


(-6) ÷ (-2) = 3

Quotative Division - Sharing numbers in groups

(-6) ÷ 2 = - 3

Chapter 4

Order of Operations

(+6) x (-2) + (-6) ÷ (+2)= ?

1) Always do multiplication and division first
2)Put square brackets around (+6) x (-2) ex. [(+6) x (-2)]
3)Put square brackets around (-6) ÷ (+2) ex. [(-6) ÷ (+2)]
4) Solve (-12)+(-3) = + 15

Term Two Reflection

My audioboo couldn't upload so i just put this.

Term Two Reflection

This is my Term Two Reflection on math, we have learned surface area and volume is term. The unit that I did really well was volume, it was easy for me and I understand it well. I could help others and I could pass my test with a good mark. I really don’t have a unit that I struggled with, the units were easy for me. The thing that I can do better for the next term is to do my homework, take time to check my work in tests, and to listen more. I learned how to find the surface area and the volume in shapes. For surface area you have to find each face of the shape and add it together. For volume you have many things you have to do. You can find the volume of a rectangular prism, triangular prism, and a cylinder.

Christian's Term 2 Reflection

* If you can't hear my voice very well, I wrote my reflection down here. Sorry, my mic on my laptop was far away from my mouth and I kept messing up trying to record it again.

Term 2 Reflection

In term 2 I think I did well on volume and surface area. I think I did well on my tests because I remembered the formulas. It was easy to understand.

I struggled with some of the formulas for finding volume. I didn't like finding the volume for cylinders at all. It sucked. I didn't really understand percents.

Next term I will listen more in class and focus on my work more. I will also try to be involved with class discussion to help my learning.



I learned how to convert decimals to fractions. I learned how to calculate taxes by a ratio table. I learned how to calculate the formula for 3D shapes like rectangle or a right triangle. I learned how to find the volume of them too.



Surface area is the amount of units outside of the 3D shape, and volume is the is the amout of units inside the shape.

Karl's Great Big Book of Integers

Chapter 1 Grade 7 Review
Questions from class
1) -3 - (-7)=4


2) -3 - 7=-10


3)3 - 7=-4



4) 3 + 7=10



5) -3 + 7 = 4



Chapter 2 Multiplying Integers

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

+++ +++ 2 groups of +3

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

--- --- 2 groups of -3

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



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




Sign Rule (Negative Signs)

Even: When you have an even number of negative factors the product is positive.
Odd: When you have a odd number of negative factors the product is negative.


Chapter 3 Dividing Integers

Partitive Division: When you use groups to find your quotient

ex. 6 ÷ 2= 3



-6÷ (-2)= 3



Quotative Division: Share a number between an amount of groups

ex. (-6)÷2= -3



Multiplicative Inverse: When you rewrite a division question to a multiplication question because you can't find a way to use partitive or quotative division.

ex. 6÷(-2)=
you can't share 6 with -2 people so you use the multiplicative inverse
(-2)x(-3)=6
(-3)x(-2)=6
answer: -3

Chapter 4 Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3) = ?

You can use BEDMAS to solve this question
BEDMAS stands for:
B-Brackets
E-Exponents
D-Division
M-Multiplication
A-Addiction
S-Subtraction

Ex.
There are no brackets or exponents so you could skip the B and the E.
There is a division question and that is (-6) ÷ (+3).
(-6) ÷ (+3) = -2.
The question now is (+5) x (-3) + (-2) = ?
There is a multiplication question and that is (+5) x (-3).
(+5) x (-3) = -15
The question now is (-15) + (-2)
Now all you have to do is solve (-15) + (-2).
(-15) + (-2) = -17.
Your answer is -17