A Semi Detailed Lesson Plan In Mathematics 6l46i

A Semi Detailed Lesson Plan in Mathematics Grade 7 I.

Objective: At the end of the sixty minute period, 85% of the students should be able to: 1. Define related to coordinate system and find solutions on linear equation. 2. Relate linear equation in daily living in of problem solving. 3. Solve and graph linear equations.

II.

Subject Matter: Solving Linear Equations in Two Variables

III.

Procedure A. Motivation Have you ever liked two things so much that you wanted to combine them to make one amazing thing? (Listen to student comments.) “For example, think about peanuts and chocolate chips. Combined together, they can make peanut butter cookies with chocolate chips on top!” “Coffee and sugar is also the most common combination that we can observed” One interesting combination has to do with a French man who really liked math back in the 1600s. His name was Rene Descartes, and he liked both algebra and geometry, but back then people did not think those two topics were very much related. Decartes started looking for ways to combine them so that they could be used together for important applications. He came up with this neat way of taking numbers that belong in the realm of algebra and plotting them visually onto a geometric coordinate plane to show how they are related. This coordinate plane became known as the "Cartesian plane," named after him. Several parts of the coordinate plane are important to understand before we can learn how to use it. In today's lesson, you will learn about it and how it is used.

B. Lesson Proper 1. Rene Decartes introduce the use of the Cartesian Coordinate plane that involves the construction of two perpendicular number lines, one horizontal and vertical, whose point of intersection called the origin. a) A vertical line is named y-axis and the Horizontal line is the x-axis. b) The two axes divide the plane into four quadrants that are numbered counterclockwise direction. (I, II, III, IV) c) Every point in the plane can be described in of an ordered pair (x, y) or (abscissa, ordinate). d) Under the first quadrant the value of X is positive as well as the value of Y. Under the second quadrant the value of X is negative while the value of Y is positive. Under the third quadrant both values of X and Y are negative. Under the fourth quadrant the value of X is positive while the value of Y is negative. 2. So now class, let’s try to plot these points in the Cartesian Coordinate Plane for us to see on what quadrant they belong. a. (7, 6)

b. (2, 5)

c. (-5,-1)

d. (4, -6)

3. After knowing the Rectangular Coordinate Plane, we can now further discuss about Linear Equations in Two Variables. To start with: Let us study this equation:

. Now let us now compute for the following:

 Find y when  Find y when  Find y when  Find y when 4. A linear equation in two variables is an equation that can be written in the standard form , where A, B, and C are real numbers and A and B are not both zero. Example: The first thing to do is to write the equation in standard form: a

The equation is now written in the form

, thus

5. To find a solution to any linear equation in two variables, select a particular value for and substitute it for

in the equation, then solve the resulting equation for

possible to the first select a value for

and substitute it for

It is also

in the equation and then

solve the resulting equation for .

Let’s now try to solve for the value of Using the values of

using the equation:

.

we can now solve .

6. After knowing how to get the value of the

and , next to which is the graphing of the

solution of the equation. The graphing of an equation involving two variables, the collection of all points ( ,

and , is

that are solutions of the equation.

7. To graph Linear Equation: a. Find at least two solutions of the equation. b. Plot the solutions of the equation. c. Connect the points to form a straight line. Example: Find the value of the If

,

If

,

and the

by using the

The Coordinates are: ( d. After getting

coordinate, we will now plot these coordinates in the Cartesian

plane. And after plotting we will now connect the two points by a straight line. All the points touching the line are solutions of the equation 8. Another example: Same procedure will be applied.

.

The computation of the If

:

?

(0,4) If

?

(2,0) Then plot these points and connect them using a straight line. 9. Worded Problem related to Linear Equation: Dessa had already walked 5 kms. And continue walking 3 kms per hour. Write the equation that shows the relation between the distance and the time. After 10 hours, how far does Dessa walked? Solution: Let: be the time (hours) be the distance (km.)

IV.

Evaluation:

In a one whole graphing paper, graph the following:

V.

1.

2.

a) (2,6)

a)

b) (-2,6)

b) –

c) (2,-6)

c)

d) (-2,-6)

d)

Assignment: In a ½ sheet of yellow paper, answer the following: 1. What is quadratic equation? 2. Give some examples of quadratic equations. 3. Illustrate how a graph of a quadratic equation looks like. 4. What is parabola?

Prepared by: LANGIT, Michelle MANUEL, Neil Christian MEDINA , Erwin