Topicmb468f10fa50008e8_1528449000663_0Topic

Percentage calculations – applying them to solve practical problems

Levelmb468f10fa50008e8_1528449084556_0Level

Second

Core curriculummb468f10fa50008e8_1528449076687_0Core curriculum

V. Percentage calculations. The student:

1) calculates number a equal to p percent of the given number b;

2) calculates what percent of the given number b is number a;

3) calculates number b whose p percent is equal to a;

4) applies percentage calculations to solve problems in practical context, also in case of multiply increasing or decreasing of the given quantity.

Timingmb468f10fa50008e8_1528449068082_0Timing

45 minutes

General objectivemb468f10fa50008e8_1528449523725_0General objective

Doing simple calculations mentally or using the long method in more difficult examples, using these abilities in practical situations.

Specific objectivesmb468f10fa50008e8_1528449552113_0Specific objectives

1. Doing percent age calculations.

2. Applying percentage calculations to do text exercises.

3. Communicating in English, developing basic mathematical, computer and scientific competences, developing learning skills.

Learning outcomesmb468f10fa50008e8_1528450430307_0Learning outcomes

The student:

- does percent age calculations,

- applies percentage calculations to do text exercises.

Methodsmb468f10fa50008e8_1528449534267_0Methods

1. Discussion.

2. Situational analysis.

Forms of workmb468f10fa50008e8_1528449514617_0Forms of work

1. Individual work.

2. Work in pairs.

Lesson stages

Introductionmb468f10fa50008e8_1528450127855_0Introduction

Students discuss in pairs ways of doing tasks with percents. They watch posters prepared on the last lesson.

Proceduremb468f10fa50008e8_1528446435040_0Procedure

Task

Students work individually, using computers. They open the Slideshow and read information about taxes, bank deposits and bank loans.

[Slideshow]

After having completed the exercise, they present results of their observations:

- Net price is price without the VAT tax.
- Brut price is price with the VAT tax.
- Price net + VAT tax (from the net price) = brut price.
- The VAT tax in economy is Value Added Tax.
- Interest rate - is the amount charged or earned, expressed as a percentage of money we lend from or put in the bank. It is always calculated and given on an annual basis.
- Interests - an amount that bank adds to the money put on the bank deposit, or to the amount borrowed from the bank as a loan.mb468f10fa50008e8_1527752263647_0- Net price is price without the VAT tax.
- Brut price is price with the VAT tax.
- Price net + VAT tax (from the net price) = brut price.
- The VAT tax in economy is Value Added Tax.
- Interest rate - is the amount charged or earned, expressed as a percentage of money we lend from or put in the bank. It is always calculated and given on an annual basis.
- Interests - an amount that bank adds to the money put on the bank deposit, or to the amount borrowed from the bank as a loan.

Working in pairs, students use obtained information to do exercises.

Task

A radio with 23% VAT taxVAT taxVAT tax costs 520 zł. Calculate the net pricenet pricenet price of this radio.

Task

Tomasz’s salary is 4600 zł brut, however, to his account gets transferred 3610 zł. What percent of his salary is taken as tax and other services.mb468f10fa50008e8_1527752256679_0Tomasz’s salary is 4600 zł brut, however, to his account gets transferred 3610 zł. What percent of his salary is taken as tax and other services.

Task

Zosia created a bank depositbank depositbank deposit whose interest rateinterest rateinterest rate is 2,5% per year. She put 1500 zł on it. How much were interestsinterestsinterests after one year?

Task

A certain amount was put on a bank depositbank depositbank deposit of 4% interest per year. After a year the amount was 2600 zł. How much money was put in the bank?

Task

Wojtek took a loan whose interest rateinterest rateinterest rate was 12%. What was the amount of the loan if interestsinterestsinterests were 1740 zł?

The teacher evaluates the students’ work and clarifies doubts.

An extra task:

When we put money on the bank depositbank depositbank deposit, we pay 19% tax from the income of this deposit.

Calculate how much a client who put 2400 zł on the bank depositbank depositbank deposit of 2% annually will gain after two years. Take into account the tax from the income of the deposit.

Lesson summarymb468f10fa50008e8_1528450119332_0Lesson summary

Students do the revision exercises.

Then together they sum‑up the classes, by formulating the conclusions to memorise.

- Net pricenet priceNet price is price without the VAT taxVAT taxVAT tax.

- Brut pricebrut priceBrut price is price with the VAT tax.

- Price net + VAT taxVAT taxVAT tax (from the net pricenet pricenet price) = brut pricebrut pricebrut price.

- The VAT tax in economy is Value Added Tax.

- Interest rateinterest rateInterest rate - is the amount charged or earned, expressed as a percentage of money we lend from or put in the bank. It is always calculated and given on an annual basis.

- InterestsinterestsInterests – an amount that bank adds to the money put on the bank depositbank depositbank deposit, or to the amount borrowed from the bank as a loan.

Selected words and expressions used in the lesson plan

bank depositbank depositbank deposit

bank loanbank loanbank loan

brut pricebrut pricebrut price

interest rateinterest rateinterest rate

interestsinterestsinterests

net pricenet pricenet price

percent pointpercent pointpercent point

VAT taxVAT taxVAT tax