Topicm7f59c77595c791ea_1528449000663_0Topic

What percentpercentpercent of a quantity is another quantity

Levelm7f59c77595c791ea_1528449084556_0Level

Second

Core curriculumm7f59c77595c791ea_1528449076687_0Core curriculum

V. Percentage calculations. The student:

3) calculates what percentpercentpercent of the given number b is number a.

Timingm7f59c77595c791ea_1528449068082_0Timing

45 minutes

General objectivem7f59c77595c791ea_1528449523725_0General objective

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

Specific objectivesm7f59c77595c791ea_1528449552113_0Specific objectives

1. Calculating what percentpercentpercent of the given number b is number a.

2. Applying percentage calculations to do exercises.

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

Learning outcomesm7f59c77595c791ea_1528450430307_0Learning outcomes

The student:

- calculates what percentpercentpercent of the given number b is number a,

- applies percentage calculations to do exercises.

Methodsm7f59c77595c791ea_1528449534267_0Methods

1. Discussion.

2. Situational analysis.

Forms of workm7f59c77595c791ea_1528449514617_0Forms of work

1. Individual work.

2. Work in pairs.

Lesson stages

Introductionm7f59c77595c791ea_1528450127855_0Introduction

Students revise the ways we can calculate what fractionfractionfraction of the number b is the given number a. Then they revise ways we can convert fractions into percents. They discuss how to calculate what percentpercentpercent of the number b is the given number a.

Procedurem7f59c77595c791ea_1528446435040_0Procedure

Students do exercises, using information they revised at the beginning of the lesson.

Task

- Calculate what percentpercentpercent of number 60 is number 15.
- Convert obtained value into percent.
- Answer the question: what percentpercentpercent of number 60 is number 15?
- Write the conclusion.

Conclusion:

- To calculate what percent of the given number b is the number a we need to calculate what fraction of number b is number a first. Then we convert obtained fraction into percent.m7f59c77595c791ea_1527752263647_0- To calculate what percent of the given number b is the number a we need to calculate what fraction of number b is number a first. Then we convert obtained fraction into percent.

Students work in pairs and use obtained skills to do exercises.

Task

Calculate what percent of the given number b is number awhat percent of the given number b is number awhat percent of the given number b is number a.

a) a = 70, b = 35

b) a = 200, b = 24

c) a = 16, b = 240

Students work individually, using computers. They open the Slideshow and observe how we can calculate percentpercentpercent of raise or discount based on the initial and final pricefinal pricefinal price and how to compare prices of various products.

[Slideshow]

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

- To calculate by how many percent the price was increased or decreased we need to calculate what percent of the initial value is the difference in the price.m7f59c77595c791ea_1527752256679_0- To calculate by how many percent the price was increased or decreased we need to calculate what percent of the initial value is the difference in the price.

Students work in pairs and apply acquired skills to do exercises.

Task
A book cost 35 PLN. After discount, the same book can be bought for 28 PLN. By how many percent was the price decreased?

Task
Price of the camera used to be 500 PLN. The owner of the shop decided to raise prices and now it costs 580 PLN. By how many percentpercentpercent was the price raised?

Task
In a certain class there are 28 students, including 12 girls. There are more boys in this class, by how many percent?

Task
After a raise, Miss Jola gets 3156,50 PLN salary. By how many percentpercentpercent was her salary raised if before it was 2950 PLN?

Task
Marysia got 1500 PLN for her birthday. She bought a dreamed phone right away, that cost 650 PLN. How many percent of the money did she spend on the phone?

The teacher evaluates the students’ work and clarifies doubts.

An extra task:
By how many percentpercentpercent will the area of a square increase if its perimeter is increased by 40%?

Lesson summarym7f59c77595c791ea_1528450119332_0Lesson summary

Students do the revision exercises. Then together they sum‑up the classes, by formulating the conclusions to memorise.

- To calculate what percentpercentpercent of the given number b is the number a we need to calculate what fractionfractionfraction of number b is number a first. Then we convert obtained fraction into percent.

- To calculate by how many percentpercentpercent the price was increased or decreased we need to calculate what percent of the initial value is the difference in the price.

Selected words and expressions used in the lesson plan

by how many percent did the price changeby how many percent did the price changeby how many percent did the price change

converting fraction into percentconverting fraction into percentconverting fraction into percent

decresing the pricedecresing the pricedecresing the price

difference in pricesdifference in pricesdifference in prices

final pricefinal pricefinal price

fractionfractionfraction

increasing the priceincreasing the priceincreasing the price

initial priceinitial priceinitial price

percentpercentpercent

what percent of a quantity is another quantitywhat percent of a quantity is another quantitywhat percent of a quantity is another quantity

what percent of the given number b is number awhat percent of the given number b is number awhat percent of the given number b is number a