## Thursday, May 24, 2012

### Solving Problems Involving Sales Tax, Selling Price - Interactive Math Lesson

Mathematics Lesson Plan and Interactive PowerPoint in Solving Problems Involving Sales Tax, Selling Price
I: Learning Objectives
Cognitive:
Solve word problems involving sales tax, rate of sales tax, selling price
Psychomotor:
Write the solution of word problems involving application of percent in sales tax, rate of sales tax, selling price
Affective:
1. Be tax conscious
2. Be punctual in paying one's tax
3. Be truthful in paying one's tax

II. Learning Content
Skill: Solving word problems involving sales tax, selling price
Reference: PELC II.L.3.4.3
Value:    Honesty and truthfulness Tax consciousness

III. Learning Experiences
A. Preparatory Activities
1. Opening Song: Solving Problem
2. Mental Computation: Drill on Finding the Rate, Base or Percentage
a. Strategy 1: Role Play
Materials: 4 rolled papers numbered 1-4
Table for each team having column for percentage, rate, base
Mechanics:
1) Have the 4 teams prepare flashcards where each card has question on rate, base or percentage.
2) Let the leader of the team draw the numbered rolled paper to determine the first, second, third or fourth teacher.
3) The teacher from a team flashes the card and the other 3 teams answer on the board for their own table.
4) The team with the highest score wins.

b. Strategy 2: Searching the Lucky Team
Materials:    8 rolled papers numbered 1-8
8 prepared questions on rate, base and percentage Mechanics:
1) A member of the team draws a rolled paper and gets the corresponding question. Then he reads to the class.
2) All tie teams answer and the first team to get the answer correctly will be given the point.
3) The scorer determines the winner by getting the highest number of scores.

3. Motivation
Every year, your parents pay an amount to the government. What do you call this amount paid to the government?
Why is there a need for us to pay our taxes?

B. Developmental Activities

1. Presentation
a. Activity 1 - Use of Compatible Numbers in the Problem
Sample:
Jetli needs to buy a book. He has P150 for a book. Is the money of.Jetli enough to buy the book which costs P140.00 plus a sales tax of 6%?
His younger sister gives him P45 to buy a pencil case with a selling price of P30. What is the rate of sales tax if the sales tax is P0.90?
a) What does Jetli want to buy?
b) How much is his money?
c) Who gives him money to buy a pencil case?
d) If you were Jetli, what decision will you make? Why?
2) Guide the pupils analyze and solve the problem.
a) Help the pairs of pupils determine what the problem tells them to look for.
b) Let them know which are the given data relevant, irrelevant, and hidden fact.
c) Tell them to decide what processes to use.
d) Let them write an equation for the hidden question/whole problem.
e) Have them solve the problem by pairs and verify their solution by working backward.
f) Give them time to discuss their solution by pair square and determine if their answer makes sense.

b. Activity 2— Use of Challenging Life Situation Problems
Sample:
Nena is offered to buy a car. She thinks of the tax the government impose. She makes a table showing the rate of sales tax imposed as shown below: (Refer to the PowerPoint presentation)

a) Who is offered to buy a car?
b) What cars are offered to her?:
c) What is the selling price of each car?
d) What does Nena think in buying a car?
e) If you were Nena, what will you decide? Why?
2) Help the pairs of pupils analyze and find the answers in the table by using the steps in Activity 1 number 2 - a to g.

2. Practice Exercises/Fixing Skills
Complete the table.
Setting Price  |  Rate of Sates Tax  |  Sales Tax  |  Total Cost
(Refer to the PowerPoint presentation)

3. Generalization
How do you solve for sales tax, rate of sales tax and selling price?

C. Application
1) Mr. Foronda bought a picture frame at P510 with a sales tax of 6% included. How much is the tax? What is the selling price?
2) A sales tax for an item is P420 or 6%. How much is the total cost and the selling price of the item?

IV. Evaluation
Fill in the data to complete the table. (Teacher will make a table.)

V. Assignment
Analyze and solve the problem.
1) A lady bag worth P1500 is given a sales tax of 6%. How much will a buyer pay for the bag?
2) A food item is given a sales tax of P22.40 or 4% paid by the customer. How much is selling price of the item? ' How much is the total cost paid by the customer?
3) A sales tax for an item is P125. The cost is P3125. What is the ratio of the sales tax? How much is the selling price?
4) A refrigerator is marked P15100. A tax of 4% is added. What is the rate of sales
tax? What is the total cost of the refrigerator?
5) Rhoda has P50000. Can she afford to buy a computer plus P2000 or 4% sales
tax? How do you know?
a) How nnuch is the sales tax?
b) How much is the total cost?

This video will explain how to solve for sales tax, rate of sales tax and selling price.
Download Solving Problems Involving Sales Tax, Selling Price - Interactive Math Lesson in PowerPoint presentation.

## Tuesday, May 22, 2012

### Commission, Rate of Commission, Total Sales and Income - Interactive Math Lesson

Lesson Objective: Solve problems involving commission, rate of commission, total sales and total income.
File: Interactive PowerPoint
In this lesson, pupils can easily learn how to solve word problems about commission using percent proportion using the formula:
Commission/Total Sale = Rate of Commission/100
Total Income = Basic Salary + Commission
The whole process is in the presentation.

## Thursday, May 17, 2012

### Interactive Math Lesson - Finding the Percentage (Activinspire Flipchart)

Title of the lesson: Finding the Rate when the Percentage and Base are Given
File: Interactive Activinspire Flipchart

How to solve for the percentage:
A. Using a Proportion
Set up a proportion that uses the percent over 100.
2. Cross multiply to write an equation.
3. Solve the equation.
To set up your proportion, think, "IS over OF equals PERCENT over 100".
The formula is P/B = R/100

B. Using a Decimal
1. Change the percent to a decimal.
2. Multiply that decimal by the number you are finding the percent of.
Use the formula: R x B = P

## Friday, May 11, 2012

### Interactive Math Lesson - Finding the Base (PowerPoint Presntation)

Lesson Title: Finding the Base when the Percentage and Rate are Given
File: Interactive PowerPoint presentation

A. Preparatory Activity Suggestions:
1. Drill on renaming percent to decimal - Search for Gold
Prepare 10 flashcards with percents, 4 sets of answer sheets with columns for percent and decimal
Mechanics:
a. Form 4 teams with equal number of members.
b. Give each leader of the team sets of ten (10) flashcards having the same question.
Sample:    75% in decimal is ________.
375% in decimal is _______.
c. The members of the team work together to answer the sets of flashcards and published their answer sheets as soon as they are through.
d. The teacher checks the published answer together with the class.
e. The team with perfect scores gets a GOLD of star shape ART PAPER.

2. Review on Dividing Whole Numbers by Decimals
Activity I — Cooperative Work
Materials:    4 sets of 2- flashcards having division of whole numbers by decimals, 4 sets of manila paper, 4 pentel pens
Mechanics:
a. Ask each leaders of the team gets 2 flashcards having whole number by a decimal.
b. The members of team solve for the quotient and write the solution on a manila paper to be published on the board.
Activity 2— Cooperative Work
Prepare the following materials: 4 sets of 2 flashcards having division of whole numbers by decimals, 4 sets of manila paper, 4 pentel pens, answer sheet published on the board with columns of dividend, divisor and quotient. The columns of dividend and divisor have data.
Mechanics:
a. Each leader of the team gets flashcards having quotient for the team to divide the published data on the board.
b. As soon as the team gets through they write their solution on the manila paper.
c. They publish their solution and quotient corresponding to the data of dividend and divisor on the answer sheet.

Then, use this interactive PowerPoint presentation "Finding the Base when the Percentage and Rate are Given" for Developmental Activities, Fixing Skills, Generalization, Application, Evaluation and Homework.

Finding the Base (Interactive PowerPoint Presentation)

## Wednesday, May 2, 2012

### Finding the Rate when the Percentage and Base are Given - Interactive Math Lesson

Title: Finding the Rate when the Percentage and Base are Given
File: Interactive PowerPoint

Lesson Plan on Finding the Rate when the Percentage and Base are Given

I. Learning Objectives
• Cognitive:    Find the rate or percent when the percentage and base are given
• Psychomotor: 1. Write the data for percentage and base using Techan's triangle 2. Write an equation or proportion to solve problems
• Affective:    Use resources wisely
II. Learning Content
Skills:    1. Finding the rate when the percentage and base are given
2. Writing an equation or proportion in solving problems
3. Writing the data for rate and base in the Techan's triangle
Reference:    BEC PELC II.L.3.2.2 and 3.1
Materials:    math textbook
Value:    Using resources wisely
Ill. Learning Experiences
A. Preparatory Activities
1. Mental Computation: Drill on Renaming Decimal to Percent, Fraction to Decimal, Ratio to Percent
a. Activity 1- Naming the Baby
Materials:    flashcards with percent
Mechanics:
a) Ask each pair of pupils to name the baby (the question on the card).
Sample flash cards:
• 2:8 in percent is
• 0.35 in percent is
• 2 in decimal is
b) The answer is written on their Show Me Board.
b. Activity 2— Find My Partner
Materials:    flashcards with decimals, ratio, fractions, percent Mechanics:
a) Each pupil should be given a flashcard with question on it. Sample:
25%     0.25    0    5    0.2    10:100    10%    1/5
b) Each pupil has to decide on the time limit in looking for their partner.
c) Each pupil has to look for their partner within the time limit prescribed.
d) The pairs having their cards flashed should be checked.

2. Motivation

Ask the pairs of pupils on how they use their school supplies. Sample: "Do you use the front and back page of your notebook? Why?"

B. Developmental Activities
1. Presentation
a. Activity I - Use of Compatible Numbers Through a Transparent Plastic
10 x 10 square — manipulatives
Jethro's teacher tells them to use bond paper of 5 or less for their Math project. If Jethro uses 3 sheets, what percent of the bond papers does he use?
a) Who is making use of bond paper?
b) Who tells them to use bond paper?
c) What does their teacher tell them on how to use their bond paper?
d) How many sheets of bond paper does Jethro use?
e) If you were Jethro, will you be doing the same? Why?
2) Get a big square having 5 equal parts and shade the 3 parts to represent the 3 sheets. The big square has the same size and shape with the transparent 10 x 10 square. Place this 10 x 10 square on top of the big square. Lead them relate the equivalent of shaded 3 parts to 10 x 10 square.
3) Let the pupils answer the following questions.
a) What are the given facts?
Let them point to which among the given answers for the base and percentage using the Techan's Triangle.'
b) Guide them to decide what to do to come up at the answer.
c) What equation best suits in the problem? Ask the pupils to write the equation about the problem. Have each pair of pupils relate the formulated equation to the manipulatives as in:
3 out of 5 sheets of bond paper
3/5 x100=N=0.6x100=60%
d) What proportion best translates the problem? Have the pairs of pupils write the proportion to arrive at the answer of the problem and use the counters in relating the formulated proportion and the solution as in:
3/5 =  N                                           3:5 = N:100
5 x N = 3 x 100                                5 x N = 3 x 100
5N = 300                                         5N = 300
N = 300/5                                        N = 300/5
N = 60%                                          N = 60%
b. Activity 2 — Use of Real Situation Problem as Opener
Sample:
Sixto, a grade six pupil nas 24 sheets of art paper for his, project in Math. If 6 sheets of art paper were used by Sixto, what percent of the sheets of art paper does he use?
1) Ask the pupils the following questions:
a) Who uses art paper for Math project?
b) How many sheets of art paper does he have?
c) How many sheets of art paper does he use?
d) If you were Sixto, will you be using all the sheets of art paper and ask some more? Why?
e) Will.you do what Sixto has done if you were Sixto? Why?
2) Let the pupils analyze the problem.
a) What does the problem want you to solve for?
b) What are the data given?
c) What are the data needed? Ask them determine the base and percentage in the Techan's Triangle.
d) What will you do to find the answer?
e) What equation best translates the problem?
f) Guide the pupils write the equation to solve the problem.
g) What proportion fits in the problem? Lead them write-the proportion.
6/24 = N/100                          6:24 = N :100
24 x N=6x100                            24 x N = 6 x 100
24N = 600 /100                            24N = 600
N = 600/24                                       N = 600/24
N = 25%                                          N = 25%

2. Generalization
How do you find the rate or percent when the base and percentage are given?

C. Application
Solve the problem.
a) Ricardo got 90% of a 20-item test in Math. How many items did he answer correctly?
c) One stormy day, 12 pupils of Mrs. Loyola were absent. If there are 50 pupils in the class, what percent of the class is absent? present?

IV. Evaluation
1) ____ % of 10 = 2                                         8) what percent of 800 is 400?
2) N% of 28 is 14                                             9) 7.5 is what percent of 30?
3) What percent of 20 is 5?                              10)18 is N% of 24
4) 4 is what percent of 20?                               11) ____ % of 1000 = 2
5) 18 is N% of 30                                            12) N% of 800 is 300
6) ____ % of 80 = 20                                      13) What percent of 940 is 89?
7) N% of 180 is 35                                          14) 20 is what percent of 40
15) 90 is N% of 3600

V. Assignment: Solve.
1) 657 is N% of 876
2) ___% of 250 = 245
3) Out of 50 pupils, only 48 joined the educational trip. What percent joined the trip?
4) Of 40 pupils only 30 pupils passed their project on time. What percent passed their project?
5) In a Grade 6 class of 40 pupils, 36 pupils attended the meeting of the Math Club. What percent of the class attended the meeting?