Lesson Plan-1.docx

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LESSON PLAN IN MATHEMATICS 10 I.

OBJECTIVES At the end of the lesson the students should have: 1. Enunciated the midpoint formula 2. Located the given points in the Cartesian plane precisely 3. Solved real-life problems involving midpoint formula

II.

SUBJECT MATTER A. Topic : Midpoint Formula B. References : Mathematics Leaner’s Module Grade 10 pg.229 – 251 C. Materials: Chalk, Board, Power Point Presentation, Visual Aids D. Values: Develop the creativity, cooperation, collaboration and apply the use of Midpoint formula in real-life situations.

III.

PROCEDURE TEACHER’S ACTIVITY A. Routinary Activities 1. Opening prayer 2. Checking of Attendance: The evaluation sheets of the students serve as their attendance. 3. Review The teacher will call a student to recapitulate the previous lesson. (Distance Formula)

STUDENT’S ACTIVITY

A student will lead the prayer.

Students will recall the distance formula: 𝑑 = √(𝑥2 − 𝑥1 )2 + (𝑦2 − 𝑦1 )2

B. Development of the lesson 1. Motivational Activity “4 pics, 1 word” The teacher will divide the class into six group. Each group will be given a picture for them to guess what word is being implied.

Students will guess the appropriate word that will describe the pictures. Point Distance Line Segment

Formula Middle 2. Presentation Class, based on the activity, what do you think is our lesson for today? 3. Lesson Proper The teacher will present another activity. (They will sing a song)

Midpoint Formula

Students are singing and dancing. Midpoint Song “Midpoint, midpoint what do you do? Add them together and divide it by 2.” (repeat twice)

What can you say about the song?

The song is about on how to get the midpoint.

How can you get the midpoint?

Add the two points and divide by 2

Let’s apply it in problem solving. (The teacher will give an example) What if we have AD and the points are 2 and 6. What is the midpoint?

Students will raise their hands and answer the question being asked by the teacher. 𝑚=

0

1

2

3

5

4 4 4

7

6

8

1

2

3

0

4 4 4

5

6

7

8

=4

9

Let’s have another example. Find the midpoint of the CM whose points are –2 and 12.

-2 -1 0

2+6 2

9 10 11 12

What if we have points lying on a Cartesian plane, we have coordinates (x, y)

1

𝑚=

2

−2+12 2

-2 -1 0

1

3

=5

2

5

4 4 4

3

4 4 4

5

6

6

7

7

8

8

9 10 11 12

9

(the teacher will present the Cartesian plane)

Based on the illustration, what is the midpoint formula?

Example: The coordinates of the endpoints of AB are (2, 1) and (8, 7), respectively. What are the coordinates of its midpoint M? (The teacher will call a student to plot the points on the Cartesian plane.) (The teacher will call another student to find the midpoint.)

𝑥2 +𝑥1 𝑦 +𝑦 ),( 2 2 1 ) 2

𝑚=(

The student plots the points. The Student solves the midpoint. 8+2 1+7 ),( 2 ) 2

𝑚=(

= (5,4) B(8, 7)

7 6 5 4

M(5, 4)

3 2 1

A(2,1) 0

1

2

3

4

5

The teacher will give another example. M(-9, 15) and N(-7, 3)

What if the midpoint and one point of the segment is given. What will you do? We can use again the midpoint formula. But how? Example: The midpoint of CS has coordinates (2, -1). If the coordinates of C is (11, 2). What

m = (-8, 9)

Student raises her/his hand. 𝑥2 + 𝑥1 𝑚𝑥 = ( ) 2 𝑦2 + 𝑦1 𝑚𝑦 = ( ) 2

11 + 𝑥1 2=( ) 2

6

7

8

9

are the coordinates of S? Plot the points on the Cartesian plane.

x1 = -7 −1 = (

2 + 𝑦1 ) 2

y1 = -4 The student plots the points on the Cartesian plane. The teacher gives another example. The midpoint of PT has coordinates (-5, 6). If the coordinates of T are (-7, 2). What are the coordinates of P? The teacher will divide the class into 2 groups. Boys versus girls. They will choose a pair to answer each question. The group that finish first and got the correct answer will get a point. 1. 2. 3. 4. 5. 6.

M(6, 8) and J(12, 10) C(5, 11) and D(9, 5) K(-3,2) and L(11,6) R(-2,8) and Mid(-6, 7) Mid(3/2, 5/2) and Q(8, 6) Mid(5, 4) and R(10, 0)

4. Generalization What have you learned for today’s discussion? 5. Application The teacher will ask the students to cite real-life examples applying the midpoint formula.

IV.

m = (-3, 10)

Students will answer it on the board. (9, 9) (7, 8) (4, 4) (-10, 6) (-5, -1) (0, 8)

The students will state what they have learned.

The students will give real-life examples in applying midpoint formula.

Evaluation I. 1. Find the coordinates of the midpoint of the line segment DE whose endpoints are (12, 5) and (3, 10) 2. The midpoint of XY has coordinates (-8, 7). If the coordinates of X are (-7, 11). What are the coordinates of Y? II.

Problem Solving A study shed will be constructed midway between two school buildings. On a school map drawn on a coordinate plane, the coordinates of the first

building are (10, 30) and the coordinates of the second building are (170, 110) a. What are the coordinates of the point where the study shed will be constructed? b. Plot the coordinates of the buildings in a Cartesian plane. c. Why do you think the study shed will be constructed midway between the two school buildings?

V.

Assignment Answer the following on 1 whole sheet of paper. a. Your coordinates are (25, 86) and your friend’s coordinates are (12, 73). Find the midpoint of your location from your house to your friend’s house. b. The midpoint of the school from the museum is (7, 2). If the museum is located at (7, 3), what is the location of the school from the midpoint?

Prepared by: Gaco, Marry Joy M. Loria, Jessica G. San Juan, Christian Mel G. BSEd 4D – Math Major

Approved by: Sir. Nestor B. Badillos, MAT