I. Property Of Logarithm
Logarithm is a once form of mathematics. In mathematics lesson study we have many formula about logarithm. For example is logь X is equal Y. This is equivalen with b power of Y is equal X. Ten log X is equal log X. This is can be happen because log of ten is equal one.
In problem solving we can use this is form. For example log of ten power of one hundred is X. We can solving this problem with first form. So we have ten power of X is equal one hundred. Finally we have the point of X is ten.
In other problem, we have multiplication of logarithm. For example is logь of M times N is equal with logь M plus logь of N. We just see in other form, too. Logь of M divide N is equal with logь of M minus logь of N.
With this form, we can conclution that multiplication of logarithm is solve by additional of logarithm, and the divide of logarithm is solve by subtraction of logarithm.
II. Common Factor and Grouping
Common factor is one form to find factor of number. This is can be find by a product. The product should be in prime number. For example is fifeteen. Fifeteen is made with three times five. Fifeteen in this calculation is called product and three times five is called prime number. So if we have any product we should be to find the factor just only in prime number.
In common factor we have too Greatest Common Factor or called GCF. This is can be find by the smallest exponent form their product. For example is fourty five and sixty. The prime number of fourty are three square and five. The prime number of sixty are two square, three and five. We can calculaton the GCF with multiply the same prime number from fourty and sixty. Them are three and five. So, the Greatest Common Factor of them is three times five and this is equal fifeteen.
In second method to finding the GCF we can find by divide the product number with same prime number. For example, we given the product are thirty six, sixty and one hundred eighty. Them all should be to divide by the same prime number. The first is two, then two agains and the last is three. The GCF is prime number divided. So we have the GCF are two square times three is equal twelve.
III. English Trigonometry Functions
The trigonometry functions is used to find the value of the other sides of triangle. The triangle must on ninety degree. There are six sides base of triangle. Them are sinus, cosines, tangent, cosecant, secant and cotangent. We can find all value of them with triangle picture help. In triangle we call the height is opposite, the base is adjacent and the last is hypotenuse.
To find sinus and all base of sides, we can read this form :
IV. Factoring Polynomials
Factoring polynomials is form to find the factor. The factor should be dividing until we get zero. There are long division for a third order polynomials, them are :
· Find a parcial quotient of X square, by dividing X into X power of three to get X square.
· Multiply X square by the division and subtract the product from the divided.
· Repeat until we get the zero answer.
For example, X power of three minus seven X minus six is divide by X minus three. We can to write the calculation with detail like this :
After we finish the calculation, we get X square plus three X plus two. We should to find the factoring polynomials of the problem with factoring x minus three and X square plus three X plus two. So we get that X are minus two, minus one or three.
V. English Functions
English functions or variable functions is a form of mathematics algebra. This is made from two or more variables. The variable called X, Y and Z if there are three. There are function terminology of algebra :
· An algebraic statement that provider a link between two or more variables.
· Used to find the value of one variable if we know the value of the others.
For example, Y is equal two X. If we know X, we can find Y. If X is five, we can find that Y is equal two times five. This is equal ten.
VI. English Parallelogram
In geometry lesson study we know what about a plane. This is have uniqe charactheristic because them are abstract. We can’t to see them in our life because them are consider from two dimension. There are many kind;s of plane like square, triangle, circle, hexagonal, quadrilateral,etc. In quadrilateral there are many kinds, one from all is parallelogram. Parallelogram is a quadrilateral but the opposite of side are parallel. If we draw the parallelogram we can see like that :
From this draw we can conclution that there ara two relation. The side AB is parallel with side CD, and side AD is parallel with side CB.
