Logic Mathematic

Today we learn about the logic
before learning about the logic we have to know the statement. The statement contains a sentence that is false or true, or not worth the two. The statement can be said to be true when in accordance with actual circumstances.



Consider the following sentence
1. 5 + 7 = 15
2. 5 is a real number
3. 2 is an odd number



Well the statement is false or true can be, now and then note the following statement:
1. What is your name?
2. When was your birthday?



Now the question is not really worth and not worth one.
in logic there is an open sentence that is a sentence that has a variable and can be completed
For example y + 2 = 3
Then it can be solved y = - 2 + 3

y = 1
for more details see the following video 

source

conjunction 

picture 1

  

disjunction

picture2

implication

picture 3

bi implication 

picture 4

Assignment for you today is send a statement that is false, true, an open sentence, a statement which is not false and not true, negation, conjunction, disjunction, and implication, and bi implications.
send to my email (ita.pertiwi@sampoernaeducation.net)

Safe work and spirit

linear equation and quadratic equation

Today we learn about linear equation and quadratic equation

General form from linear equation and quadratic equation write to a, b, p, q, and r constitute real number.

y = ax + b (linear equation), but y = px² + qx + r (quadratic equation)

there is several steps to determine association from solution linear equation and quadratic equation :  

1.      Substitute linear equation y = ax + b to quadratic equation y = px² + qx + r

so ax + b = px² + qx + r

move part of equation in order to same 0 and the value of  x² is not negatif because can be more easy to determine the value of x.

px² + (q – a)x + (r – b) = 0, for get the value of x we can use factorization or we can use ABC formula. After we get the value of x, so we substitute to linear equation y = ax + b or to quadratic equation y = px² + qx + r, so we can get the value of y. value (x,y) constitute solution association of linear equation and quadratic equation.

2.       For determining quantity association of linear equation and quadratic equation. We can use discriminant. 

If the value of  D = 0, so the association of linear equation and quadratic equation is one

If the value of D > 0, so the solution have 2 association.

But if the value D < 0, so measure up to imaginary association

For example : equation y = 2x + 1 and y = x² + x -5

the value of a = 2, b = 1, p = 1, q = 1, r = -5

1.       We substitute it so be 2x + 1 = x² -3 x -5

Move part of equation, x² + ((-3)-2)x + ((-5) -1) = 0

x²  - 5x - 6 = 0

(x - 6 ) (x + 1) = 0

so x₁ = 6, x₂ = -1

2.       Then the value of x substitute to the equation

y = 2 (6) + 1           y = 2 (-1) + 1         y = (6)² - 3 (6) - 5          y = (-1)²  - 3 (-1) -5

y = 13                     y = -1                      y = 13                             y = -1

so the solution of association  ={(6, 13), (-1, -1)}

for the clear of my explanation you can watch the video, click the video  

source: (click here)                                                      source: (click here)
After you watch the video you can  understand more how to determine the solution of linear equation and quadratic equation.

1. Graph Methods


a. Drawing graphs with dot method intercept
b. When two lines intersect at one point obtained a member of the (x, y)
c. When these two parallel lines (not intersected it) then it cannot be obtained members of the set of completion
d. When the two lines coincide then obtained settlement that is not set infinity


2. Substitution method
Replace a variable with a variable from the other equations


3. Elimination method
Eliminating one variable
Prior to this study is completed there is a matter for you to do, with regard to systems of linear and quadratic equations.

Namely:

1. the equation y =-x + 2 and y = x2 + 10-10

2. The equation y =-3x - 6 and y = x2 + 4x + 6

send your answer to my email (ita.pertiwi @ sampoernaeducation.net)

safe work and spirit

 picture

Logarithm

       Hello all... Now, we will learn about Logarithm. Do you know, what is Logarithm??? The logarithm of a number is the exponent by which another fixed value, the base, has to be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: 1000 = 10³ = 10 × 10 × 10. More generally, if x = b^y, then y is the logarithm of x to base b, and is written log_b(x), so log₁₀(1000) = 3


Do you Understand??? good.. very good..


        Below is the properties of Logarithm, 

Do you want to challenge your skill about the Logarithm??? You can try to answer some questions, just click the link below...

       

click here

Three Dimensional

Welcome back! Today we will learn about how to find Surface and Volumes of three dimensional. Do you know, how to find surface and volumes of three dimensional?? Ok, firstly, could you mention the kinds of three dimensional?? Now, take your notes, than write down the formula to find the surface and areas for three dimensional... Let's check this video out..

                                           

how about the movie??? Is it good??? now, to challenge your skill about the surface and volumes of three dimensional, let's we come to this link below..:

                                

                                                        http://www.ixl.com/math/grade-8

 *Choose: Geometry>Surface or Volumes

Function

What is function?

Do you know about function?

Before we learn more about it, let’s watch the video!

This video can help us about Function :)  

Link

Graph of function has own unique, such as :

a. Constant function 

Picture 1

b) Identity Function

Picture 2

c) Absolute-Value Function

Picture3

d) Linear Function

Picture 4

e) Quadratic Function

Picture 5

Picture6

    

Introduction to Trigonometry

Do you know what Trigonometry is? In this post, you will learn about the basics of Trignometry by watching videos.

Before we learn about it, can you mention the use of Trigonometry in our daily life?

Is it hard to mention it? I just wanna make sure that you have understood why you have to learn Trigonometry.
Hemmmmm, now let's check the use of Trigonometry in this video. Enjoy it!!!

source: (click here)

So? have understood about the use of Trigonometry? To give you more examples, you also can check this video :) 

source : (click here)

Now you have already known about the use of Trigonometry in our daily life. Are you ready to learn the basics of trigonometry??

Prepare you notes, relax and let's check this video!!

source: (click here)

What do you think about the video??

Does it helps you to know the basic of Trigonometry??

To check your understanding, lets solve some problems. (click here)

Happy Learning Students :D

Inequalities

 

What comes in your mind after hearing those two-words? Have you learned about Linear Equation before? I guess YES!! Can you mention the differences between Linear Equation and Linear Inequalities

	Linear Equation	Linear Inequalities
The sign	=	<, <, >, >, and ≠
The solution	Only one solution Ex: 2x + 4 = 6 2x + 4 – 4 = 6 -4 2x = 2 (divide both sides by 2) x = 1 {x | x = 1, x Є R} The solution is only 1.	More than one solution Ex: 2x + 4 > 6 2x + 4 - 4 > 6 -4 2x > 2 (divide both sides by 2) x > 1 {x | x > 1, x Є R} The solutions are 2, 3, 4, etc.

Can you find other differences? Do they have the common thing? To learn more about Linear Inequalities, you can refer to this file prezi presentation (click here). After that, you can download the worksheet (click here).

__HAPPY LEARNING__