A DITAILED LESSON PLAN IN MATHEMATICSGRADE 8

I. OBJECTIVES1. Define Cartesian Coordinate System/Plane.2. Create a Cartesian Coordinate Plane and label its parts.3. Locate which quadrant does the given point lies.

ll. SUBJECT MATTERTopic: Cartesian coordinate system

Parts of Cartesian coordinate plane Locating of points

Reference:Title of Book: The History of Mathematics/ an Introduction (7th ed.)Author: Burton, David M.Date Published: 2011Publisher: McGraw-hill Publishing CompanyPlace Published: New York, City

Strategy: Lecture The Crown of Knowledge and wisdom

Instructional Materials: Meter stick Crown Chalk Board Cards Visual aid

lll. LEARNING PROCEDURE

TEACHER’S ACTIVITY STUDENT’S ACTIVITY

Everybody stand up let’s begin our class with prayer Students are prayingOkay, who are absent today? None sir, all are present

A. MOTIVATION(Hockey Pokey)

Right footLeft footRight knee bendLeft knee bendRight shoulderLeft shoulderRight handLeft handLyrics: Put your right foot in, put your right foot, put your

Right foot in and shake it all around, and do the hockey

Pokey and you turn yourself around that’s what is allAbout.

B. REVIEWWho can recall what our topic last meeting was? Last meeting we’ve discuss

About linear equation in oneVariable.

Very good!

C. PRESENTATION OF LESSONNow, this morning we will going to discuss aboutCartesian coordinate system/ plane.Who has an idea of what Cartesian coordinate system is? Cartesian plane is all about X

And Y axes.That’s right!Basically, Cartesian coordinate system is a coordinatesystem that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Students listen attentively

Now, who can guess who discover the Cartesian coordinate plane? Rene Descartes

Yes, absolutely right!How did Rene Descartes discover the Cartesian coordinate plane? Any idea? No idea sir

Okay, Rene Descartes is a French Mathematicianwho discover the Cartesian coordinate plane in the17th century. Accordingly when he was young, he gotsick and because of that incident, his professor lethim take a rest for that day. While lying in his bed, henoticed a fly crawling in his ceiling. Then he also noticed that the ceiling is like a graphing paper for it has different lines arrange horizontally and vertically.Upon his curiosity he observed keenly the fly and draw the location of the fly as the fly changes its location. He watched the fly for a long time. He wanted to know how to tell someone else where the fly was. Finally he realized that he could describe the position of the fly by its distance from the walls of the room. When he got out of bed he wrote down what he had discovered. Thenhe tried describing the positions of points the same wayhe described the position of the fly. That’s how Rene Descartes discover the Cartesian coordinate plane. Students listen attentively

Now, Cartesian coordinate system/plane is composed of different parts.Who has an idea of what are the parts of Cartesian

coordinate sytem/plane? X and Y axes

That is right!The horizontal line is what we called the x-axes or the abscissa which is the first variable, while y-axes or ordinate is the second variable.

Basically, Cartesian coordinate system is composed of 4 different quadrant. Namely quadrant l, ll, lll, and lV.Starting in the upper right quadrant by moving counter clockwise. Students are listening

In quadrant l, all x and y-values are positive, in quadrant ll, x is negative and y is positive, in quadrant lll,all values are negative, and only x is positive in quadrant lV y is negative.

Now, what do you call the point of intersection betweenthe x and y-axes? Origin

Very good!Origin has a coordinate (0,0).

Okay, who can go to the board and create a cartesian coordinate plane with its corresponding label of its parts? One student is constructing/

creating a Cartesian coordinate plane with corresponding label

Very good!Now, since we already know the different sign to which a certain point is located. Let’s have an example.

Given point (1,5) where could we locate this in our Cartesian coordinate plane? Quadrant l

That is right!How about (-2,1) Quadrant ll

Correct!(-2,-2) Quadrant lll

Good!(2,-1) Quadrant Lv

Absolutely right!So, any question? None sir

Okay, let’s have an activity.So, we will divide the class into two groups.

Form a circle each group. I have here a crown, and base on the ancient time, whoever wears a crown shall be consider as wise and knowledgeable. Each group are listening

carefully

Direction: As I play a music you should pass thecrown and as I stop the music whoever holds the crown should go to the center of the circle and wearthe crown and I will show a card containing a point.All you need to do is to determine which quadrant thepoint in the card is located. Answer as fast as you can.The first person who gives the correct answer will gain the point in their group. The first group who gain 5 pointsshall be declare as the winner.Am I understood? Yes sir

The winner is group 1/ 2. So here is your prize. Yehey

D. VALUES INTEGRATIONAlways remember that “Accuracy” is very important in every step that we make in our

lives.

lV. EVALUATIONDirection: in a ½ sheet of paper answer the following:

A. What is Cartesian coordinate system?B. Construct/ create a Cartesian coordinate plane and label its parts.C. Determine which quadrant does the following points are located:

1. (5,1)2. (0,0)3. (-1,-1)4. (1,0)5. (0,-1)

V. ASSIGNMENT/HOMEWORK/AGREEMENT Study in advance on how to find the slope of the points.