Description: DEPED-NEW_e78wysqt

        GRADES 1 to 12

        DAILY LESSON LOG

School:

Grade Level:

V

Teacher:

Learning Area:

MATHEMATICS

Teaching Dates and Time:

Week 9

Quarter:

4TH Quarter

MONDAY

TUESDAY

WEDNESDAY

THURSDAY

FRIDAY

I. OBJECTIVES

  1. Content Standards

The learner…demonstrates understanding of line graphs and experimental probability.

  1. Performance Standards

The learner…is able to create and interpret representations of data (tables and line graphs) and apply experimental probability in mathematical problems and

real-life situations.

  1. Learning Competencies/Objectives

Write the LC code for each

Describes experimental probability

M5SP-IVi-14/ Page 66 of 109

Performs an experimental probability and records result by listing

M5SP-IVi-15/ Page 66 of 109

Analyzing data obtained from chance using experiments involving letter cards (a to         z) and number cards ( 0 – 20) M5SP-IVi-16/ Page 66 of 109

  1. CONTENT

Statistics and

Probability

Statistics and

Probability

Statistics and

Probability

  1. LEARNING RESOURCES

  1. References

  1. Teacher’s Guide pages

  1. Learner’s Material pages

K-12 Grade 5 Curriculum

K-12 Grade 5 curriculum

: K-12 Grade 5 curriculum

  1. Textbook pages

Real Math pp. 336 - 339

Integrative Mathematics 6 pp.443 – 447

, Elementary Mathematics VI p. 330 -  333

  1. Additional Materials from Learning Resource (LR) portal

  1. Other Learning Resources

Coins, die spinner, playing cards

Calendar , marbles, strips of cartolina, box

letter cards (A to Z), number cards ( 0-20 )

  1. PROCEDURES

  1. Reviewing previous lesson or presenting the new lesson

A.Preliminary Activities

1.Drill

Tell whether the following is sure to happen, likely to happen or impossible to happen.

a.The baby cooks for the family.

b.The lost cellular phone was found.

c.The teacher teaches the pupils.

d.The man collapses during the rally.

e.The cat drives the car.

2.Review

Conduct a review on drawing inferences based on data presented

 in a line graph.

    MONTHLY WAGE OF AN EMPLOYEE

Refer to LM

What does the line graph tell about the wage of the employee in seven months?

Checking of assignment

1.Drill

a.Spin the spinner

b.Put a mark in the tally column for each color where the spinner stops.

Do this experiment for 10 times

c.Add the tally marks for each column and write the number in the frequency column.

color        tally        frequency

Blue

Yellow

Green                

2.Review

If you roll a die, what is the probability that you will roll 2? 1? 8? Even numbers? Odd numbers?

1.Opening Song – “ Pagdatingng Panahon” sung by Aiza Seguerra

1.1.Drill

Game ka na ba?

Materials:

4 rolled papers numbered ( 1 to 4 )

8 hidden questions on situations to be predicted

Mechanics:

a.Form 4 teams having equal number of members. The leader of the team draws and gets 2 questions to be predicted by the team in terms of:

•Likely to happen

•Impossible to happen

•Unlike to happen

•Certainty to happen

•Equally likely to happen

b.Output of each team will be presented on the board.

c.        The class, together with the teacher, processes the responses of teams.

2.Review : Writing Ratio

Find my Partner

Materials:        

25 cards – with ratio expressed in fraction

25 cards – with ratio expressed in colon equal to the former sets

of cards

Mechanics:

a.Form 4 teams. Have the cards distributed to the class.

b.The first team will stand and look for the partner of the ratio. The next team follows.

c.The team with the highest number of partner wins

  1. Establishing a purpose for the lesson

3.Motivation

Have the class listen to the song Kapaligiran.

Discuss the message of the song relating to prediction. Which line in the song tells something that will likely happen? Will unlikely happen ? Is it impossible to happen? or certain to happen?

3.Motivation

Show the pictures of the Great European Mathematician like Gerolamo Cardano, Pierre de Fermat, Blaise Pascal and Christian Huygens.

Say: Did you know that they began to analyse simple games of chance involving cards and dice?

3.Motivation

How many sides does a coin have?

If you are to toss a coin, what is the chance that your coin will land head?

  1. Presenting examples/instances of the new lesson

1.Presentation

Present to the class a number cube.

Ask:

If you roll a 0-5 number cube, what is the probability that you will roll 7?

If you roll a 0-5 number cube, what is the probability that you will roll a number less than 7?

If you roll a 0-5 number cube, what is the probability that you will roll an even number?

If you roll a 0-5 number cube, what is the probability that you will roll an odd number?

1.Presentation

Show a calendar to the class.

Say: Consider the days of the week. If you choose a day at random, the probability that it is a Monday is 1 out of 7 of 1/7. The probability that you choose begins with the letter T is 2 out of 7 or 2/7. The probability that the day you choose has less than 15 letters is 7 out of 7 or 1. The probability of an impossible event, such as choosing a day with only 3 letters is 0 out of 7 or 0.

1.Presentation

PICKING A CARD

a.        Have each member of the team pick a letter without looking . Let them find the probability of picking letter G.

b.        Ask them to find the number of possible outcomes.

c.        Let them answer on the prediction card. Encourage them to determine the probability of picking G.

d.        Lead them to come up with G is 1out of 10 or 1/10

e.        Ask them to symbolize the probability as P(G) = 1/10

Let us use the number line to show the probability of an event.

Refer to LM(Number line)

We can see on the number line that if probability is less than ½ , an event is unlikely to happen. If the probability is more than ½ the event is likely to happen. A probability of 1 means the event will certainly happen and a probability of 0 means the event is impossible to happen.

a.

  1. Discussing new concepts and practicing new skills #1

2.Performing the activities

Pair-Share Activity

For each of the following spinners, give the probability that the pointer will stop on

2.Performing the Activity

Group the class into four. Ask the class to perform the task assigned to them. Require them to write the results of the simple experiments on manila paper using the table.

PICK A COLOR

Materials:  a box, 6 marbles, ( 3 green, 2 blue, 1 red)

Groups  : four

Procedure:

a.Put the marbles in the box. Without looking, draw one marble from the box and record the color in the table below.

color

tally

number

Green

Blue

Red

b.Put the marble back in the box. Do more 19 trials. Replace the marble each time after recording the color.

c.How many times out of 20 did you draw a blue marble?

The probability can be approximated by the fraction

P( event) = number of times an event occurred

Number of times the experiment was performed

Such a fraction is called the experimental probability of an event.

Give your experimental probability for each event.

P(green) =  ______                P(blue) = ______         P (red) = ______

                 20                             20                                20

The greater the probability of an event, the more likely it will occur. The smaller the probability of an event, the less likely the probabilities.

2.Performing the Activity

Alphabet cards of the same size and shape were put in a bag. 3 cards have letter M, 4 cards have letter A, 2 cards have letter T, and 1 card has letter H.

1. What is the total number of possible outcomes?         ______________

2. What is the probability of picking a:

a. card with letter M        ________

b. card with letter A        ________

c. card with letter T                         ________

d. card with letter H        ________

e. card with a vowel        ________

f. card with a consonant        ________

g. card with M or T                ________

h. card with letter J         ________

i. card with T of H                ________

j. card with letter A or T        

  1. Discussing new concepts and practicing new skills #2

3.        Processing the activities

Ask the pair to put their output on the board.

Ask: How did you find the activity?

How did you perform the simple probability experiment?

How did you express the outcomes of your probability experiments?

Say:

A probability tells us how likely something is to happen.

We use fractions to describe probability. For example, if you flip  a coin it has an equal chance to land on either of its two faces. The probability that the coin will land heads up is 1 result out of two possible outcome, or ½ . Since it is likely that the coin will land tails up, that probability is also ½.

Even though we might imagine the coin landing on its edge, this event is so unlikely that we don’t usually consider it. We expect a coin to land heads up half of the time and tails up the other half. Nothing else is likely to happen.

If something cannot possibly happen, the probability is 0. If something is certain to happen, the probability is 1.

Processing the Activities

Instruct the group to post their outputs on the board.

Ask; How did you find the activity?

How did you perform the probability experiment?

How did you express the outcomes of your probability experiment?

What did you notice in the results of your probability experiment?

Lead the discussion on using the formula in expressing outcomes of probability experiments.

Processing the Activities

Instruct the group to post their outputs on the board.

Ask; How did you find the activity?

How did you perform the probability experiment?

How did you express the outcomes of your probability experiment?

What did you notice in the results of your probability experiment?

Lead the discussion on using the formula in expressing outcomes of probability experiments.

 

  1. Developing mastery

(Leads to Formative Assessment 3)

4.Reinforcing the Concept and Skill

a.Discuss the presentation on top of page ___ LM Math Grade 5.

Then give the following activity.

Which spinner gives a ¼ probability of landing on red?

b.Have the pupils do the items under Get Moving, page ___ of LM math Grade 5. Check the pupils’ answers and provide corrective measures if needed.

To further reinforce the skill, ask the pupils to answer items under Keep Moving, page ____ of LM Math

.Reinforcing the Concept and Skill

        Discuss the presentation under Explore and Discover on page _____LM Math 5, Then let the pupils do the activities under Get Moving and Keep Moving on pages _____ LM Math Grade 5

4.Reinforcing the Concept and Skill

        Discuss the presentation under Explore and Discover on page _____LM Math 5, Then let the pupils do the activities under Get Moving and Keep Moving on pages _____ LM Math Grade 5

  1. Finding practical applications of concepts and skills in daily living

. 6.        Applying to New and Other Situations

Describe three instances where the probability of those events happening are 0 .

6.Applying to New and Other Situations

 Describe three instances where the probability of those event happening is 1.

5.Applying to new and other Situations

Lorraine puts cards with letters of her name into a box. What is the probability that the card she pulls out is _____

a.        L?         ______

b.        O?         ______

c.        R?         ______

d.        A?         ______

e.        I?          ______

f.        N?         ______

g.        E?         ______

6.        Applying to new and other Situations

There are 4 different letters to match with 6 different numbers. If you look for the probability of getting 1 letter and 1 number combination, what will be your total number f possible outcomes?

  1. Making generalizations and abstractions about the lesson

5.Summarizing the Lesson

A probability tells us how likely something is to happen.

If something cannot possibly happen, the probability is 0. If something is certain to happen, the probability is 1.

4.Summarizing the Lesson

Lead the pupils in generalizing the following:

Ask: How do you record prediction?

By doing probability experiment, we can determine the number of times an event occur. We use a table and record the outcome of probability experiment.

The probability can be approximated by the fraction

P( event) = number of times an event occurred

Number of times the experiment was performed

5.Summarizing the Lesson

Lead the pupils in generalizing the following:

Ask: How do you tell the number of favourable outcomes/chances?

A favourable outcome is the result we want to happen in an event.

  1. Evaluating learning

C.Assessment

Answer the following questions.

Jimmy and Naomi are rolling a regular 0-5 number cube. Jimmy wins if 0 is rolled. Naomi wins if 1,2,3,4 or 5 is rolled.

1.Who do you think will win more often?

2.What fraction of the time do you think Jimmy will win?

3.What is Naomi’s probability of winning?

4.If they roll the cube 6 times, how many times would you expect Jimmy to win?What is 1/6 of 6?

5.Should you be surprised if Jimmy did not win exactly 1 time out of 6 tries?

.Assessment

 

C.Assessment

Express the outcomes of your prediction. Write your answer in your notebook.

1.What is the chance that you will get a perfect score in you Math quiz?

2.What is the probability that a newly born puppy is a girl?

3.Toss a die, what is the probability that you will get 4 on top?

4.What is the probability that Claire chooses a rose from a flower shop selling sunflower, tulips, and dahlia?

5.Toss a coin. What is the probability that neither the head not the tail shows up?

C.Assessment

Study the cards with letters.

        One card is drawn from a well-shuffled 9 letter cards. What is the probability of drawing a card having the following letter/s?

a.        L,O,V,E

b.        M, A, T

c.        I

d.        V, E

e.        Y

  1. Additional activities for application or remediation

D.Home Activity

Remediation

Write 0 for impossible to happen, ½ for equally likely to happen and 1 for certain to happen.

_____1. From a class of 30 boys and 30 girls, what is the probability that a  girl is chosen as a leader?

_____ 2. Without looking, what is the probability that a green pen is drawn from a box of green pen?

_____ 3. What is the probability that a tomato is drawn from a box of apples and oranges.

______ 4. From tossing a coin, what is the probability that the head shows up?

______ 5. What is the probability that an odd number of dots show up if a die is rolled?

D.Home  Activity

Remediation

What is the probability that this spinner will land on

1.

2.

3.

4.

5.

D.Home  Activity

Remediation

There are 4 strawberries – flavoured candies and 5 cherry-flavoured candies in a jar. If Kristine picks first and Randy picks next, what is the probability of picking a strawberry- flavoured candy? What is the probability of picking cherry- flavoured candy?

  1. REMARKS

  1. REFLECTION

  1. No. of learners who earned 80% in the evaluation

  1. No. of learners who require additional activities for remediation who scored below 80%

  1. Did the remedial lessons work? No. of learners who have caught up with the lesson

  1. No. of learners who continue to require remediation

  1. Which of my teaching strategies worked well? Why did these work?

  1. What difficulties did I encounter which my principal or supervisor can help me solve?

  1. What innovation or localized materials did I use/discover which I wish to share with other teachers?

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