REFLECTION VI

Novia Nuraini

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Mathematics Education Class

In this lesson, my teacher have a combinatorical lesson anymore. That is by playing some video and we have to make the reflection or synopsis about the video. The video is;

1. Quadratic form

The quadratic form is called square form. Quadratic forms are homogeneous quadratic polynomials in n variables. In the cases of one, two, and three variables. But in this case, we just say about square form. The form of this function is

2. Inequality

In this section, you will learn how is inequalities. Inequality is the form of someting totally different. For example

etc.

Here is an example: Consider the inequality

When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality. On the other hand, substituting -2 for x yields the false statement (-2)-2 > 5. Thus x = -2 is NOT a solution of the inequality. Inequalities usually have many solutions.

3. Graph Intersec

In mathematics form of the line function, there are intersec. Intersec is a piece of a graph that represents the pattern of intersections of a family of sets.

The intersec is presented as below

y is the form of function. y is showing the function of graph. And then, 2 is the variable of x whereas 2 can be called gradient. And the intersec is 4, its mean that 4 is the intersec-x of the function

4. Do you believe

5. Dead poet

This video is just the ice breaking video to refresh our mind in the class. There presented how the lesson is. In the class, many students feel bored, unsatisfied, and also sleepy.

The teacher feels so sick over to look his students do something absurd. At the momment, the teacher stand up and look at his students. Now, every students pay attention to the teacher. The teacher move quickly and jump up to the table in front of the class. Everyone feel confused now, to see their teacher do something unussual.

The teacher said that if we want to be a great person, we have to look something with the different point of view with the other. After that, the teacher ask his students to try, standing the table above. Everyone try and they are look the different sides of their class that they never done before.

From this video I can conclude that, to be an extra ordinary people is not an easy things. We have to have our own point of view. We have to look something different than the other. And we can be the lead or nothing.

6. Solving diferential equation

As in the case of solving equations, there are certain manipulations of the inequality which do not change the solutions. Here is a list of permissible manipulations:

Rule 1. Adding/subtracting the same number on both sides.

Example: The inequality x-2>5 has the same solutions as the inequality x > 7. (The second inequality was obtained from the first one by adding 2 on both sides.)

Rule 2. Switching sides and changing the orientation of the inequality sign.

Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 - x. (We have switched sides and turned the ``>'' into a ``<'').

Last, but not least, the operation which is at the source of all the trouble with inequalities:

Rule 3a. Multiplying/dividing by the same POSITIVE number on both sides.

Rule 3b. Multiplying/dividing by the same NEGATIVE number on both sides and “changing the orientation of the inequality sign”.

7. Invers function

invers mean reverse. So, invers function is reversible function. When we are still in Secondary school, we heve knew invers by the following notation