LESSON 60: �SOLVING ROUTINE AND NON-ROUTINE PROBLEMS INVOLVING PERCENTAGE USING APPROPRIATE STRATEGIES AND TOOLS

�HAVE A DRILL ON IDENTIFYING THE MISSING/ UNKNOWN PART OF THE PROBLEM: THE BASE,� RATE AND PERCENTAGE.� 

36% of 95 is N.

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30% of 600 is what number?

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150% of P 400 is _____.

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�WHAT ARE THE STEPS IN SOLVING A PROBLEM?� IN WHAT STEPS WILL THE FOLLOWING QUESTIONS FALL?�

• What is asked?
• What are the given facts?
• What is the process to be used?
• What is the number sentence?
• Show the solution and complete answer

DO YOU SAVE SOME OF IT FOR FUTURE USE?

How much money do you spend in school every day?

Why did you do it?

Share your experience. Let the pupils realize the importance of being thrifty.

Reyes family has a monthly income of P 15 850. They allotted 40% of for food, 25% for education, 15% for water and electricity fare, 8% for transportation, 7% for miscellaneous expenses and 5% for savings. How much money is allotted for their savings?

WHAT IS ASKED IN THE PROBLEM?

What are the given facts?

What is the operation to be used?

ASK THE PUPILS TO WORK IN GROUPS IN SOLVING THE PROBLEM.

Step I: P 15 850

x 5%

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Arranged the numbers vertically.

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Step 2: P 15 850

x 0.05 Move the decimal point of 5% twice from right to left.

Step 3 P 15 850

x 0.05

79250

00000

0792.50

Multiply the numbers following the steps in multiplication.

P 792.50 – amount allotted for savings by the Reyes family.

WHY DOES REYES FAMILY ALLOTTED A CERTAIN AMOUNT AS SAVINGS? IS IT A GOOD THING TO SAVE MONEY? 

GROUP ACTIVITY

Romeo celebrated his 11^th birthday. He counted the person who attended the party and found out that 40% of the 200 visitors were male. How many attendees are male?

WHAT IS ASKED IN THE PROBLEM?

What are the given facts?

What is the operation to be used?

. Let the groups discuss the problem and think of ways of solving it. The pupils may use “Guess and Test Strategy,” “Drawing Pictures,” and others.

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Solve each problem.

1. There are 40 students in a class. If 95% of them were present, how many students attended their class?

2. Among the 1 400 students who attend school, 12% are left-handed. How many are left-handed? How many are right-handed?

During the basketball season, George shot 175 free throws. He made 88% of them. How many free throws did George make?

. A talk show hosts has done 3 225 shows, 20% of which were shot on tape (not live). How many of the shows were taped? How many were live?

AFTER THE GROUP PRESENTED AND CHECKED THEIR WORK, CALL ON THE LEADER TO RELATE WHAT THEY HAVE DONE TO SOLVE THE PROBLEM.

• Which of the two problems is easier to solve?
• In which problem did you enjoy solving? Why?
• How many operations did you use to solve problem 1?
• What operation is it? How did you solve it?
• What is your number sentence? What is your final answer?
• What about problem number 2?
• How were you able to solve it? Do you have a number sentence to solve it?
• Did you work in group cooperatively?
• When your group solved the problem easily, how did you feel?

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SUMMARIZING THE LESSON

• The steps in solving routine problems involving percentage are:
• Understand – Know what is asked, what are given.
• Plan – Know the operation. Write the number sentence.
• Solve – Write the correct units/ label your answer.
• Check and Look back – Review and check your answer.
• To solve non-routine problems involving percentage, keep in mind:
• Read and analyze the problem

ASSESSMENT 

• A. Directions: Solve the following percentage problems.

  1. On their family budget, Mariano family allotted 45% for the education of their children.

If the family has a monthly income of

P 13, 540.00, how much is allotted for the education of their children?

2. If 25% of 80 is 10% of a number? What is number?

3. A regular fare of P 8.00 is implemented in a public jeepney. Students are given a 12.5% discount. If the jeepney drivers have 12 student passengers, how much discount are given to all 12 student passengers?

• Home Activity

A. Solve the following problem. 

• 1. Of the 40 members of Mathematics club, 35% are also member of Science Club. How many members of the club are also members of Science Club?

• 2. In a group of 200 teachers, 72% are right-handed. Of these numbers 25% are musically inclined. How many teachers are musically inclined?

• 3. There are 580 pupils enrolled as Grade Six pupils in Labangan Elementary School. If 15% of them are members of Pantawid Pamilyang Pilipino Program, how many pupils are not members of the Pantawid Pamilyang Pilipino Program?