Lesson 105 :ANALYZING DATA OBTAINED FROM CHANCE USING EXPERIMENTS INVOLVING LETTER CARDS (A TO Z) AND NUMBER CARDS ( 0 – 20)

Week 9

Objectives:Analyzing data obtained from chance using experiments involving letter cards (a to z) and number cards ( 0 – 20)

Prerequisite Concepts and Skills

  • Telling the number of favourable outcomes/chances
  • Writing the ratio of favourable outcomes/ chances to the total number of outcomes/chances

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

Reference: K-12 Grade 5 curriculum M5SP-IVi- 16, Elementary Mathematics VI p. 330 - 333

Instructional Procedure

  1. Preliminary Activities
  1. Opening Song – “ PagdatingngPanahon” sung by AizaSeguerra
  2. Drill

Game kanaba?

Materials: 4 rolled papers numbered ( 1 to 4 )

8 hidden questions on situations to be predicted

Mechanics:

  1. 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
  1. Output of each team will be presented on the board.
  2. The class, together with the teacher, processes the responses of teams.
  1. 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. 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. Developmental Activities
  1. Presentation

PICKING A CARD

  1. Have each member of the team pick a letter without looking . Let them find the probability of picking letter G.
  2. Ask them to find the number of possible outcomes.
  3. Let them answer on the prediction card. Encourage them to determine the probability of picking G.
  4. Lead them to come up with G is 1out of 10 or 1/10
  5. Ask them to symbolize the probability as P(G) = 1/10

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

1/10

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.

  1. 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______

3. 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.

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. Summarizing the Lesson

Lead the pupils in generalizing the following:

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

  1. 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. 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?

  1. L,O,V,E
  2. M, A, T
  3. I
  4. V, E
  5. Y
  1. 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?