M N H S DREAMS (Dedication, Responsibility, and Efficiency for Achieving Meaningful Success)

Republic of the Philippines Department of Education

Region III Division of Gapan City

MARUHAT NATIONAL HIGH SCHOOL

Macabaklay, Gapan City

LESSON PLAN IN MATHEMATICS 10

I. Learning Objectives

At the end of the lesson, the students should be able to:

a. interpret measures of position;

b. calculate the specified measures of position; and

c. solve problems involving measures of position for ungrouped data with

accuracy.

II. Subject Matter

Topic: Measures of Position for Ungrouped Data

References: Learner’s Module pp. 355-372

Teacher’s Guide pp. 314-327

Materials:

PowerPoint Presentation

Manila Papers

Markers

Chalk and Board

III. Teaching Strategy

A. Pre-activities

- Prayer

- Greetings

- Checking of Attendance

- Motivation: 4 pics 1 word

Group Activity

The students will be grouped with five (5) members each. Tell them to follow the

directions and do it as fast as they can.

A group of students obtained the following scores in their Statistics quiz:

8 , 2 , 5 , 4 , 8 , 5 , 7 , 1 , 3 , 6 , 9

PROCEDURE:

1) Arrange the scores in INCREASING or DECREASING order

2) Identify the lowest score and highest score

M N H S DREAMS (Dedication, Responsibility, and Efficiency for Achieving Meaningful Success)

3) Find the middle score. Label it as 𝑄2

4) Identify the value between the middle score and the lowest score.

Label it as 𝑄1.

5) Identify the value between the middle score and the highest score.

Label it as 𝑄2 .

Guide Questions:

What is 𝑄1, 𝑄2 , and 𝑄3 of their scores?

How many students belong to 𝑄1, 𝑄2 , and 𝑄3 in terms of their scores?

Have you realize of finding the position of the scores?

B. Lesson Proper

1. Ask the students about their ages then organize the students’ responses which

will lead to the introduction of Statistics (ungrouped and grouped data).

2. Define measures of position.

Measures of position are techniques that divide a set of data into equal groups.

To determine the measurement of position, the data must be sorted from lowest to

highest or highest to lowest. The different measures of position are: Quartiles,

Deciles and Percentiles.

3. Enumerate the importance of measures of position.

dealing with large amount of data, which includes the timely results

for standardized tests in schools, etc.

trying to discover the smallest as well as the largest values in a given

distribution.

examining financial fields for academic as well as statistical studies.

4. Define quartile

Quartiles are the score points which divide a distribution into four equal parts.

(Show an illustration of quartile measure of position)

5. Give an example.

The scores of 7 students in a Mathematics seatwork are:

7 , 4 , 3 , 6 , 7 , 4 , 8

a. Find lower 𝑄1, 𝑄2 , and 𝑄3 .

b. Interpret the results.

M N H S DREAMS (Dedication, Responsibility, and Efficiency for Achieving Meaningful Success)

C. Application

Find the first quartile (𝑄1), second quartile (𝑄2 ), and the third quartile (𝑄3 ), given

the scores of 10 students in their Mathematics.

4 9 7 14 10

8 12 15 6 11

D. Generalization

When do we apply measures of position?

IV. Evaluation

Andoy has an assignment to ask at random 10 students in their school about their ages.

The data are given in the table below.

NAME AGE

Ana 10

Tony 11

Dennis 12

Aira 13

Antonette 13

Christian 13

Susan 14

Lito 14

Michael 15

Gladys 15

1. What is 𝑄1, 𝑄2 , and 𝑄3 of their ages?

2. How many students belong to 𝑄1, 𝑄2 , and 𝑄3 in terms of their ages?

V. Agreement

Answer Activity 8 “Aqua Running” pg. 372 (to be written on one whole sheet of paper)

Prepared:

HAZEL CHARISE N. GONZALES

Teacher I

Noted:

DAVID M. DAVID

School Principal II