Rebecca's Math 8 Learning Journal
Surface Area & Volume
Integers & BEDMAS
Linear Equations & Graphs
Volume of a Rectangular Prism
Formula: l x w x h
Volume of a Triangular Prism
Formula: bh
Volume of a Cylinder
Formula: r x h
Adding & Subtracting Integers
When you add a negative integer the original number goes down.
When you subtract a negative integer the original number goes up.
Adding a positive number makes the original number go up.
Subtracting a positive number makes the original number go down.
Multiplying & Dividing Integers
Rules For Multiplying And Dividing:
+
and
+ = +

and
 = +
+
and
 = 

and
+ = 
BEDMAS
B
Number Tables
Number tables are used to make graphing linear equations easier. they take the results and the number put into the equation and put them into coordinate pairs.
Let me show you by looking over one of the questions I did.
Graphing
Solving
a)6x + 5=y, when y= 41 x= 6
Surface Area of a Rectangular Prism
Surface Area of a Triangular Prism
Surface Area of a Cylinder
Formula: (lxw + lxh + hxw) x2
2
2
This funny little symbol means squared, as simple as that!
Formula: bh
_
2
x2 + (sxw) x2) + wxb
How To Find "s"
a +b =c
2
2
2
c
2
_
2
=
s
Formula:( r )+( d)xh)
2
d= rx2
l
w
h
_
2
xl
l= 8cm
b= 7cm
h= 7cm
2

+
Rules For Adding
+ and + = +
 and  = 
and  = +
+ and = 

+
Rules For Subtracting
1.)Change the subtraction sign to an addition.
2.)Change the sign of the second number.
3.)Follow the rules for addition.
E
D
M
A
S
(Order of Operations)
rackets ( )
ponents
3
ivision
ultiplication
ddition
ubtraction
y=3x  4
x
y
1
1
2
2
3
5
4
8
Now graphing the points will be easy, so long as I don't forget any numbers. ;)
I'll demonstrate graphing by placing the coordinates from the last slide.
(1,1)
(2,2)
(3,5)
(4,8)
Helpful tip, use graph paper. I've gotten the answer wrong by incorrectly measuring a graph.
= something
Remember to add the symbol!
3
Don't ask me why, I have no idea.
3cm
6cm
9cm
3cm
6cm
9cm
(9x6 + 9x3 + 3x6)x2= 193cm
13cm
7cm
9cm
3cm
13x3
2
x2 + (7x9) x2) + 13x9= 282cm
2
d= 10ft
h= 21ft
( 5 ) + ( 10x21)= 816.73ft
2
2
I understand that because 3 sides of this prism are the same I can multiply the answer for 3 of such sides by 2 and get the correct answer for the surface area.
Another way that I found to get the answer is to take half of the base opposed to dividing the bh part by 2.
I found this question quiet simple, apart from the fact that pi is unfathomable.
l= 5
w= 6
h= 12
5x6x12= 360units
3
Volume, especially of the rectangular prism, I found quiet easy to comprehend.
7x7
2
x8= 196cm
3
I found this to be the most difficult of all the prisms to find the volume of.
h= 6cm
r= 4cm
4 x6= 301.59cm
2
3
This was almost fun to complete! I like using pi because it reminds me of the Great Pyramid at Giza.
Reflections on integers
Adding and subtracting integers are I found quiet simple:
(21)  (32)= +11
(+6) + (4)= +2
Multiplication and division I found harder because none of the rules make any sense:
(8)x(9)= +72
35
5
= 7
4x(82)7
2
4x(6)49
2449
= 25
I haven't quiet gotten this down pact and still make the occasional error, but I'm working on it.
b)3x 24=y, when y= 12 x= 12
c)x +9=y, when y= 13 x= 44
_
2
d)4(x+7)=y, when y=20 x= 2
Solving equations was by far my favorite unit. I really like to think and solving equations lets me do that.
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