Friday, December 12, 2014

unit 3: basic of geometry (chapter 8 -10)

In chapter 8, we learned about THE NUMBER PLANE. It's introducing about coordinates. By looking in both side, such s scatter diagram. With X and Y axis that I will explain below:

coordinate have two axis there are x Axis and y Axis and 4 parts. it shown in the picture below:

<<<< ------- as you can see that it has 2 axis, x Axis and y Axis. there are also 4 parts of it, 1st quadrant, 2nd quadrant, 3rd quadrant and 4th quadrant.

so, this is one of the example how to do it. So, the first one is
(1, 2) the first thing to do is to find the x axis, the x axis is always at the front so it is 1. Same like the y axis, but the differences is the y axis is at the back so it is 2. the next step is to find the position of the coordinate. the x axis is 1 and remember that x axis is always the horizontal line and the opposite, the y axis is always vertical line. then find the position line that have been numbered.





The next chapter, is chapter 10 (reasoning in geometry). In this chapter, we learned about the basic of angels and lines. I have learned new things, that line did not have any end.

Angle is an exact location in space or the basic element of geometric figure. Angle can be measure by a protecter, there are several types of angles:

- obtuse angle or a angle that is more than 90˚








- acute angle or a angle that is less than 90˚








- right angle or a angle that is exactly 90˚( in this terms to mark it, it use a square mark)








There are other terms that is connected to angles:

- line is a collection of points going on and on with out limits in both side or there are no end point.






- line segment is a part of line. in has two end point and includes all the points between those end point.











- ray is a part of line, it has one end point but one side of it it has no limits.












- concurrent line is three or more line passing through a common point.












- collinear is 4 points that lie in a straight line.


- perpendicular lines is spiral  intersecting lines that form right angle (square corner) where they intersect.
- parallel lines is lines which never intersect with each other.
- intersection lines is lines that will always intersect with each other
The relation ship of 2 angles (parallel and transversal lines)
- Corresponding or f angle is when two parallel lines cut by a third line, or it can be shaped like a F letter.
- Alternatif line or z line has two types alternate interior; on opposites sides of the line inside, alternate exterior opposites sides of the line m and outside the line k and l

- Co interior that is forming a c letter or a angle that is equal when they are facing each other.




MATH
READING MATHEMATICS 
10:07

:)

NAME: JESSIECA JUNESHA
GRADE: 7 ASIA



QUESTIONS:
1. Why do angle point have a sum of 360 degree?
2. Why are vertically opposite angles are equal? 
3. Why are opposite angles of parallelogram equal?
4. Why is the angle sum of triangle 180 degree?
5. Why is the exterior angle of a triangle 180 degree?
6. Why is the angle sum of a quadrilateral 360 degree?

ANSWERS:
1. Because angle are only can form a circle after drawing it, if we use compass to draw a circle   around it will prove it. A circle is equal to 360 degree


2. Because when we use our hand to close on side it will always add up to 180 degree or a straight line.


3. because when we draw a line across the parallelogram inside it, when we measure it will be the same degree with the angle across it.

4. Because when we add up every single angle it will become 180 degree, other the other word is “ a + b + c = 180 degree. The other way is when we make a triangle and cut lout the angles and arrange it with angle and angle it will add up to 180 degree or  a straight line.




5. Because the exterior is always the same to the sum of the interior or remote opposite angles.



6.  Because when we add every angle together the sun of it all be 360 degree. If there are two shape in one shape, we need to add 1 shape one by one and then ad them together






















UNIT 2 ALGEBRA (chapter 6 - 7)



Algebra(6:02, 6:03, 6:04, 6:05 fun spot, 6:06, 6:03 fun spot, 6:08, 6:09, and 6:10)

Algebra to me is a mathematic technique that is useful for our life, so it is a technique that is use to count the same species or the same type or in mathematic we called it like terms.

the concept:
-the first concept is to add, subtract, times or divide with the same species or type or like terms. e.g. 3ab + 4ab = 7ab

There are many work that I have learn in this unit.

FINDING THE VALUE OF PRO NUMERALS.e.g. To find the value of x
4x + 8 = 6
4x = 6 - 8
4x = - 2
  x = 0. 5 or 1/2
The concept:
-grouping the pro numerals with that same like terms or same species. 
-when the number pass through the equal sign or the magic door it will change to the opposite sign (+ to -, - to +, ÷ to x and x to ÷) 
e.g 3a + (6 x a) + 5 = 10 - 3
3a + 6a + 5 = 7
          9a + 5 = 7
          9a = 7 - 5
a =2/9

EXPANDING.e.g. expand this and simplify it
                              3( 3ab + 4 ac)
                              9ab + 12ac
                                   OR
                              2(4ad + 5ac) + 5( ad + ac)
                              8ad + 10 ac + 5ad + 5ac
                              = 13ad + 15ac
The concept is:
- times the number outside the bracket with the number inside the bracket.
- remember that the sign will never disappear. 
  6(2a + 4) -> (6 x 2a) + (6 x 4)
 so, the answer will be 12a + 24


FACTORISATION.e.g. factorise and simplify it
                                       12ab - 21a
                                       12 = 1, 2, 3, 4, 6, 12
                                       21= 1, 3, 7, 21
                                       3a(4b - 7)
the concept is:
- the number outside the bracket need to be a number that can be divided the two number inside.
- factorise and find the biggest same number.
 16ab + 24c
 16 = 1, 2, 4, 8, 16
 24 = 1, 2, 3, 4, 6, 8, 12, 24
 8( 2ab + 3c )

ADDING, SUBTRACTING, MULTIPLYING, AND DIVIDING ALGEBRA.

ADDING AND SUBTRACTING
 21ab + 12 ab = 33ab
 21ab - 12ab = 9ab
concept: adding and subtracting the same pro numerals

MULTIPLYING AND DIVIDING

4ac x 5bd = 20abcd
20ab ÷ 5ac = 4bc
concept:
-multiply every thing in the problem by adding all the pro numerals
- dividing it by disappearing all the duplicate pro numeral in each side.


This is the my math reading mathematic about the geometrical, in this report I explain about the 10:07 reading mathematics. This is about the angles and why does it have to be like that? every thing is explain over here


MATH
READING MATHEMATICS 
10:07

:)

NAME: JESSIECA JUNESHA
GRADE: 7 ASIA







QUESTIONS:
Why do angle point have a sum of 360 degree?
Why are vertically opposite angles are equal? 
Why are opposite angles of parallelogram equal?
Why is the angle sum of triangle 180 degree?
Why is the exterior angle of a triangle 180 degree?
Why is the angle sum of a quadrilateral 360 degree?

ANSWERS:
1. Because angle are only can form a circle after drawing it, if we use compass to draw a circle around it will prove it. A circle is equal to 360 degree.

2. Because when we use our hand to close on side it will always add up to 180 degree or a straight line.












3. because when we draw a line across the parallelogram inside it, when we measure it will be the same degree with the angle across it.









4. Because when we add up every single angle it will become 180 degree, other the other word is “ a + b + c = 180 degree. The other way is when we make a triangle and cut lout the angles and arrange it with angle and angle it will add up to 180 degree or  a straight line.



5. Because the exterior is always the same to the sum of the interior or remote opposite angles.




6.  Because when we add every angle together the sun of it all be 360 degree. If there are two shape in one shape, we need to add 1 shape one by one and then ad them together


Tuesday, December 9, 2014

UNIT 1 NUMBER (chapter 2 - 4)

This is my comic about applications of percentage, where I explain about discount and how to make a discount , how to count discount. In this way I explain the reader will not easily to get bored when reading. There also some comedy or jokes inside, to make it fun to be read.

 
















 STORY LINE

This story is about Plankton that want to steal the formula. To steal the formula Plankton make a robot like Mr. Krab. So, when Mr. Krab go away plankton have a chance to steal the formula. Spongebob explain everything about discount. Patrick as the customer have no money. So, Plankton with the robot Krab say that just give a discount. but Patrick didn`t know what is discount. Spongebob explain every about discount. And the least Plankton show him self to everybody, after Spongebob explain about discount. He said that he have get the formula…..THE DISCOUNT FORMULA!!!!!!