Sample Daily Lesson Log, Study notes of Mathematics

About the Discrete and Random Variables

Typology: Study notes

2019/2020

Uploaded on 11/13/2021

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I. OBJECTIVE: At the end of the period, students are expected to:
a. understand the population proportion p
A. Learning Competencies Computes for the point estimate of the population mean.
B. Learning Outcome At the end of the period, students are expected to:
a. distinguishes between a discrete and continuous random variable; and
b . give real life example of discrete and continuous random variable.
C. Learning Objectives (KSA) At the end of the period, students are expected to:
a. distinguishes between a discrete and continuous random variable; and
b . give real life example of discrete and continuous random variable.
II. CONTENT Random Variables and Probability Distributions
III. LEARNING RESOURCES
A. References Teacher’s Guide, Curriculum Guide of Statistics and Probability
B. Other Learning Resources Set Theory and Related Topics
IV. PROCEDURES
A. Reviewing previous lesson
or presenting the new lesson
Review the lesson yesterday by asking, what is a sample space and a random variable?
B. Establishing a purpose for
the lesson
What have you noticed with the values of the random variable of our examples
yesterday?
C. Presenting examples/
instances of the new lesson
The teacher will give an example:
Activity: 5 min “My Apartment”
Instruction: Cards with information about these ten apartments
will be provided. You will be picking one. Record the following information for
the apartment you selected.
* Number of bedrooms
* Size (sq.ft)
* Color of walls
* Floor number
* Distance to elevator
* Floor type
Template for apartment cards used in Example 1
- The students will sort the features of each apartment into three categories:
* Number of bedrooms/Floor Number
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I. OBJECTIVE: At the end of the period, students are expected to:

a. understand the population proportion p

A. Learning Competencies Computes for the point estimate of the population mean.

B. Learning Outcome At the end of the period, students are expected to:

a. distinguishes between a discrete and continuous random variable; and

b. give real life example of discrete and continuous random variable.

C. Learning Objectives (KSA) At the end of the period, students are expected to:

a. distinguishes between a discrete and continuous random variable; and

b. give real life example of discrete and continuous random variable.

II. CONTENT Random Variables and Probability Distributions

III. LEARNING RESOURCES

A. References Teacher’s Guide, Curriculum Guide of Statistics and Probability

B. Other Learning Resources Set Theory and Related Topics IV. PROCEDURES A. Reviewing previous lesson or presenting the new lesson Review the lesson yesterday by asking, what is a sample space and a random variable? B. Establishing a purpose for the lesson What have you noticed with the values of the random variable of our examples yesterday? C. Presenting examples/ instances of the new lesson The teacher will give an example:

Activity: 5 min “My Apartment”

Instruction: Cards with information about these ten apartments

will be provided. You will be picking one. Record the following information for

the apartment you selected.

* Number of bedrooms

* Size (sq.ft)

* Color of walls

* Floor number

* Distance to elevator

* Floor type

Template for apartment cards used in Example 1

- The students will sort the features of each apartment into three categories:

* Number of bedrooms/Floor Number

* Size (sq. ft.)/ Distance to elevator

* Color of walls/ Floor type

Question:

a. Describe how the features listed in each category are similar.

* The number of bedrooms and floor numbers are integers.

* The size of the apartment and distance to the elevator are not

all integers and none of the values are the same.

* The color of the walls and floor type are verbal descriptions, not numbers.

- The teacher will now introduce the topic.

(A random variable associates a number with each outcome of a chance

experiment. )

- The teacher will ask the students of which of the features are random

variables. Explain.

- The teacher will also introduce the definition of discrete and

continuous variables.

- The teacher will ask the students to label the random variables in the

table.

* Which features are discrete random variables?

-Number of bedrooms and floor number

* Which features are continuous random variables?

- Size and distance to elevator

* Why are color and floor type not random variables?

- They are not associated with an outcome

  1. Why is there a need of classifying discrete random variables and continuous random variables? H. Making generalizations and abstractions about the lesson
  2. How do you know whether a random variable is a continuous or a discrete?
  3. What is the difference between continuous and a discrete random variables? V. Evaluating learning Classify the following random variables as discrete or continuous.
  4. the number of defective computers produced by a manufacturer
  5. the weight of newborns each year in a hospital
  6. the number of siblings in a family of a region.
  7. the amount of paint utilized in a building project
  8. the number of dropout in a school district for a period of 10 years
  9. the average amount of electricity consumed per household per month
  10. the number of female athletes
  11. the amount of sugar in a cup of coffee
  12. the number of people who are playing LOTTO each day
  13. the number of voters favoring a candidate VI. Additional activities for application and remediation Complete the table K.Annotations Prepared by: LOLIBETH D. MANDAGUIO A. Find the probability of the following events Event (E) Probability P(E)
  14. Getting an even number in a single roll of a die
  15. Getting a sum of 6 when two dice are rolled
  16. Getting an ace when a card is drawn from a deck
  17. The probability that all children are boys if a couple has three children
  18. Getting an odd number and a tail when a die is rolled and a coin is tossed simultaneously
  19. Getting a sum of 11 when two dice are rolled
  20. Getting a black card and a 10 when a card is drawn from a deck
  21. Getting a red queen when a card is drawn from a deck
  22. Getting doubles when two dice are rolled
  23. Getting a red ball from a box containing 3 red and 6 black balls