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