DATE: FEB. 5, 2019 DATE: FEB. 6, 2019 DATE: FEB. 7, 2019 DATE: FEB.

8, 2019
TUESDAY WEDNESDAY THURSDAY FRIDAY
Content Standards The learner demonstrates understanding of key concepts of tests of hypotheses on the population mean and population
proportion.
Performance Standards The learner is able to perform appropriate tests of hypotheses involving the population mean and population proportion to
make inferences in real-life problems in different disciplines.
I. OBJECTIVES: At the end of the lesson the At the end of the lesson the At the end of the lesson the At the end of the lesson the students
students should be able to: students should be able to: students should be able to: should be able to:
1. Define the Population Mean. 1. Differentiate Population 1. Define the Central Limit 1. Define the Population Proportion.
SECTIONS: COOKERY 1, COOKERY 2 2. Calculate the Population MeanA SEMI-DETAILED
Variance and SampleLESSON
Variance. PLAN IN
Theorem. 2. Construct a formula on a given
ANIMAL PROD. & HUMSS from the data. STATISTICS AND PROBABILITY 11
2. Compute the Population 2. Relate the Central Limit Theorem problem in Population Proportion.
3. Perform the exact computation variance in a given problem. in the real situations. 3. Cherish the population proportion in
of Population Mean in a data given. 3. Appreciate the difference 3. Acknowledge the Central Limit giving their meaning.
between Population Variance and Theorem in the world of M11/12SP-IVf-1
M11/12SP-IVd-1 Population Mean. mathematics.
M11/12SP-IVb-2 M11/12SP-IVc-1
II. SUBJECT MATTER
POPULATION MEAN POPULATION VARIANCE CENTRAL LIMIT THEOREM POPULATION PROPORTION
A. TOPIC Animals in the
B. RESOURCES Internet, books, articles Internet, books, articles Internet, books, articles Internet, books, articles
Clinic
C. INSTRUCTIONAL Meta-cards, Manila paper, Meta-cards, Manila paper, Meta-cards, Manila paper, Meta-cards, Manila paper, cartolina,
cartolina, chalk, eraser cartolina, chalk, eraser cartolina, chalk, eraser chalk, eraser
MATERIALS
III. LEARNING PROCEDURES PRAYER PRAYER PRAYER PRAYER
CHECKING OF ATTENDANCE CHECKING OF ATTENDANCE CHECKING OF ATTENDANCE CHECKING OF ATTENDANCE
A. PREPARATION CHECKING OF ASSIGNMENTS REVIEW REVIEW REVIEW
REVIEW
B. MOTIVATION (The teacher shows the normal (The teacher recall the (The teacher gives a group activity (The teacher gives an activity as a form
distribution curve that showing a population mean and relate it to that will motivate the students to of a game and let the students cooperate
mean. Give more discussion on the the variance participate before the discussion). and participate on the said activity).
population as an example to
motivate the students.)
C. ANALYSIS One veterinary practice probably Since Population variance An interesting thing about the CLT is Let’s say you had 1000 people in the
keeps weight records of all the pets measures spread, ϑ 2 for a set of that it does not matter what the population and 237 of those people have
that come in the door, enabling you identical points is 0. distribution of Xi’s is. The Xi’s can be blue eyes. Make a fraction of those
to calculate the average weight of a If you add a constant to every discrete, continuous, or mixed people. (The student gives their different
dog for that practice. random variables. ideas).
data point the ϑ 2 remains
But if you were working for a pet The letter p is used for the population
food company who wanted to know unchanged. For instance, suppose proportion so you would write this fact
the average weight of a dog, you you study the birth years of like this:
wouldn’t be able to track down all senior citizens in New York and P=237/1000
the 70 to 80 million dogs in the US decide to switch calendar where It can be also write in decimals, p=0.237
and weigh them. You would have to 1900 was year 1, the ϑ 2 would
take a sample (a small portion of stay the same.
the population of dogs) and weigh
them. You can then use this figure
to approximate the population
mean.
D. ABSTRACTION Let the students define the Let the learner make their own Central Limit Theorem (CLT) A population proportion is a fraction of
population mean. (The population definition on the population is one of the most important the population that has a certain
mean is an average of a group variance based on the given results in probability theory. characteristic.
characteristic. The group could be a examples. It states that under certain The formula is p=x/n