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Correlation Analysisfinal Rolly D. Balo

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Department of Education

Region X-NORTHERN MINDANAO


Division of Lanao del Norte
LIANGAN NATIONAL HIGH SCHOOL
Liangan East, Bacolod , Lanao del Norte

LESSON PLAN
PROBABILITY AND STATISTICS
Grade 11 CORE Mathematics

School LIANGAN NATIONAL HIGH SCHOOL Grade Level 11


Teacher ROLLY D. BALO Learning Area STATISTICS AND
PROBABILITY
Time & Dates June 22, 2022 Quarter Fourth Quarter

Date: JUNE 22, 2022 Time Frame: 1 session (1hr)


Day/Time: Thursday (7:30 – 8:30)` Section: Grade 11 ACADEMIC & TVL

I. Objectives: After the session, at least 75% of the learners are expected to illustrate the nature of
bivariate data, construct a scatter plot, and describe the shape (form), trend (direction),
and variation (strength) based on a scatter plot.

II. Learning Content: CORRELATION ANALYSIS

Content Standard : The learner demonstrates understanding of key concepts of correlation


and regression analyses.
Performance Standard : The learner is able to perform correlation and regression analyses on
real- life problems in different disciplines.
Learning Competencies: Illustrate the nature of bivariate data (M11/12SP-IVg-2)
Construct a scatter plot (M11/12SP-IVg-3)
Describe the shape (form), trend (direction), and variation (strength)
based on a scatter plot. (M11/12SP-IVg-4)
References : Statistics Made Simple by Antonio S. Broto and SLM Quarter 4 Module
2
Pages 96 – 105 and Pages 1 - 10
Materials/Equipment : Notebook Computer, , Powerpoint Presentation and Microsoft Excel.
Values Integration : Open minded
Strategies : Explicit Teaching and Collaborative Learning

III. Learning Activities:

A. Preliminary
 The teacher starts the lesson with an opening prayer.
 Remind the students the Health Protocol during face to face class so that the teacher
can maintain learning environments that promote fairness, respect, and care to
encourage learning. Also, the teacher can establish safe and secure learning
environments to enhance through the consistent implementation of the policies,
guidelines, and procedures.
 Checking of Attendance .
B. Review
 The learners will be given five (5) questions . The top 3 learners will be given plus 3
points and the points will be added on their scores during assessment.
 Show the answers to the students as part of their review.
 Give a short discussion on the question that most of the learners got wrong answer.
C. Lesson Proper

Presentation:
 Present the objectives of the lesson.
 Present to the class the definitions of Univariate and Bivariate data and let the learners
to give another example of variables considered as Bivariate data.
 Let the learners define correlation analysis.
 Let the learners read the definition of scatterplot and apply knowledge of content across
the other curriculum teaching area like EMPOWERMENT OF TECHNOLOGY.
 Scatterplot can be done manually, but to make the diagram accurately, we should
use a software and ask the learners:
What application software that can make a good scatter plot?
What is Microsoft Excel?
 Discuss the properties of all correlations, the Direction and Strength.
 Let the learners read the definition of Positive Correlation and let them give an
example.
Examples: IQ vs. Academic Performance
Salary vs. Job Satisfaction
 The teacher applies knowledge across other curriculum teaching area like
PSYCHOLOGY.
What is IQ?
Provides a breakdown of IQ scores:
1 – 70: Low
71– 84: Below average
85 – 115: Average
116 – 144: Above average
145 – 159: High
160+: Genius

 Let the learners read the definition of Negative Correlation and let them give an
example
Examples: academic performance vs. no. of hours watching tv
Stress vs. Job Performance

 Let the learners read the definition of Zero OR No Corrrelation and let them give
an example
Examples: shoe size vs. salary
Socio – economic status vs. grades
 Present to the class the diagram of the strength of the correlation.

 Demonstrate to the class how to create a scatter plot using Microsoft Excel based
the following data and integrate it to HISTORY.

According to Leonardo da Vinci, the persons height and arm span are
equal. Would you agree to his statement?

 (Values Integration)
Do not judge the person through what you hear until it is proven.

 To maintain learning environments that nurture and inspire learners to participate,


cooperate and collaborate in continued learning and maintain learning environments that
motivate learners to work productively by assuming responsibility for their own learning.
 Learners are required to attend the ONLINE PEER TUTORING in their
respective groups .
Group 1: MEDIAN
Group 2: VARIANCE
Group 3: CORRELATION
Group 4: STANDARD DEVIATION
Group 5: REGRESSION
 Powerpoint presentation .
 Learners will answer the problems posted on the board and those learners got the
correct answer will be given additional 10 POINTS.

IV. Evaluation

A. Determine whether the following bivariate data are correlated or not. If they are correlated,
tell the direction of the association. Evaluate whether correlation is most likely strong or
weak.
1. time spent in a supermarket and money spent
2. income and value of car driven
3. number of children and time spent cleaning the house by the mother
4. amount spent on gas and distance traveled by car each week
5. age and reaction time of persons over 18 years of age

B. For each of the following case, tell whether the relationship is positive, negative or no
correlation.

1. The more students enroll in a school, the more teachers are needed.
2. The wealthier a person is, the more friends he has.
3. A student who has many absences has a decrease in grades.
4. As one increases in age, often one's agility decreases.
5. The longer your hair grows, the more shampoo you will need.

C. Match the letter below which best describes the following scatterplot.

A. Strong negative correlation


B. Strong positive correlation
C. Moderate positive correlation
D. Low negative correlation
E. Zero correlation
V. Assignment

1. Group Activity. Group the learners that each group has only 3 members with the following
conditions.
 The learners must be located the same barangay.
 Preferably the members are the same religion.

A. Construct a scatterplot for the following data and use it to comment on the
form, direction, and strength between the variables.

Note: Groups that have no computer at home, can construct a scatter plot manually using cartesian
coordinates and Groups that have computer at home are REQUIRED to submit the printed output using
MS EXCEL.

Prepared by: Noted by:

ROLLY D. BALO DELIA R. SEMAÑA


Teacher – II Master Teacher 1

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