5Es Lesson Plan in Mathematics VI Experimental Probability

  

LESSON PLAN IN MATHEMATICS 6

 

I. OBJECTIVES

Content Standards:                Demonstrates understanding of pie graphs and experimental probability

Performance Standards:         Is able to create and interpret representations of data (tables and pie graphs) and apply experimental probability in mathematical problems and real-life situations

Most Essential Learning

Competencies:                        makes simple predictions of events based on the results of experiments

 

Specific Objectives:                 a. Define experimental probability

                                                b. Differentiate experimental and theoretical probability

                                                c. Solve problems involving experimental probability

                                                d. Collaborate in accomplishing the task

 

 

II. SUBJECT MATTER

A. Solid Figures

B. K to 12 MELC, M6GE-IIIa-28, p. 224; 21^st Century Mathletes, pp. 341-350

C. TV, slides presentation, graphic organizers

D. Wise decision-making, Cooperation

 

III. PROCEDURE

A. ELICIT

 Review learners on probability using Spin-A-Wheel.

 Learners will be randomly chosen to spin the wheel and answer the question about probability.     If the learner gets the question right, he/she will receive the prize on the wheel.

 

 

a. What is the probability that the spinner will stop to Arroz Caldo?

b. What is the probability that the spinner will stop to Donut?

c. What is the probability that the spinner will stop to something sweet?

d. What is the probability that the spinner will stop to something soft?

e. What is the probability that the spinner will stop to something dry?

 

B. ENGAGE

Film Showing 

·       Show a videoclip of “How It’s Made: Cookie Sandwiches”.

Ask: How does the factory assure the quality of their product?

      Do you think they need to taste all the products to check their quality?

      Why or why not?

 

C. EXPLORE

Cooperative Work/Group Activity

·       Divide the class in groups of 5-6 members. Remind them of proper decorum during group activity. Emphasize cooperation to successfully accomplish the given task.

·       Each group will be assigned a product that they need to try and experiment on.

 

Group Number	Product	Question
1	Mixed Nuts	What is the probability of getting a green pea?
2	Cheese Ring	What is the probability of getting a crispy  cheese ring?
3	Chocolates	What is the probability of getting a strawberry chocolate?
4	Crackers	What is the probability of getting a soft cracker?
5	Sweet Corn	What is the probability of getting a crispy sweet corn?

 

·       Allow the group to tally/encode their data using the sample table below: 

 

Example:

Expected Outcome	Tally	Frequency	Probability
Crispy
Not Crispy/Soft
Total Number of Trials

 

 

D. EXPLAIN

Class Reporting/Presentation

·       Allow each group representative to present their answers to the class. Remind them of proper decorum during group reporting/presentation.

·       Facilitate discussion and sharing of ideas. 

·       After the presentation of each group, present the Venn Diagram to differentiate Theoretical and Experimental Probability.

 

D. ELABORATE

·       Show a picture of Guimaras and Manggahan Festival. Discuss that Guimaras mango is famous as one of the sweetest if not the sweetest mango in the world.

·       Present the following real-life scenario:

 

3 out of first 10 mangoes in a basket tasted sour. If this trend continues, how many sour mangoes are expected in the basket of 60 mangoes?

 

·       Provide differentiated ways to solve the problem

 

a. Pictorial Approach (Block Model) 

 

60 mangoes

6

6

6

6

6

6

6

6

6

6

             P(sour)= 3/10

                     

1 block = 6                  3 blocks = 18

 

      b. Abstract Approach (Algorithm)

 

  x 60 =  x  =  = 18

 

 

Therefore, there are 18 sour mangoes expected to be in the basket.

 

·       Let the learners solve the following problem in pairs. They may choose pictorial or abstract approach in finding the solution.

 

In a doll factory, the experimental probability of having a doll with broken leg is 2 out of 10. If the factory produces 50 dolls, how many of these are expected to have a broken leg?

 

 

 

E. EVALUATE

Formative Assessment

·       Direction: Accomplish independently. 

 

The spinner was spun 20 times. Use the results to complete the table.

 

Expected Outcome	Frequency	Probability
BLUE	2
RED	5
YELLOW	9
GREEN	1
ORANGE	3

 

 

F. EXTEND

 

Assignment

·       Direction: Create your own problem on experimental probability. You may create problems relating to other subjects like Science, AP or TLE.

 

 

 

 

 

 

 

 

 

Prepared by:

 

JAYLORD S. LOSABIA

    Master Teacher I