Topicmed6d539ec37f4712_1528449000663_0Topic

Writing numbers in decimal numeral system

Levelmed6d539ec37f4712_1528449084556_0Level

Second

Core curriculummed6d539ec37f4712_1528449076687_0Core curriculum

I. Natural numbers of the decimal natural system . The student:

1) writes down and reads the natural multi‑digit numbers.

Timingmed6d539ec37f4712_1528449068082_0Timing

45 minutes

General objectivemed6d539ec37f4712_1528449523725_0General objective

Reading, interpreting and processing data presented in various forms.

Specific objectivesmed6d539ec37f4712_1528449552113_0Specific objectives

1. Writing down the natural multi‑digit numbersmulti‑digit numbersmulti‑digit numbers.

2. Reading the natural multi‑digit numbers.

3. Communicating in English; developing mathematical and basic scientific, technical and digital competences; developing learning skills.

Learning outcomesmed6d539ec37f4712_1528450430307_0Learning outcomes

The student:

- reads and writes down the natural multi‑digit numbers,

- uses digits to write down the numbers containing the abbreviations: “thou”, “ mill”.

Methodsmed6d539ec37f4712_1528449534267_0Methods

1. Brainstorming.

2. Situational analysis.

Forms of workmed6d539ec37f4712_1528449514617_0Forms of work

1. Individual work.

2. Work in pairs.

Lesson stages

Introductionmed6d539ec37f4712_1528450127855_0Introduction

The students give some examples of the various meaning of the digits depending on the position in decimal natural system. They discuss why our numeral system is called the decimal numeral system.

Proceduremed6d539ec37f4712_1528446435040_0Procedure

The teacher introduces the topic of the lesson: writing and reading the natural multi‑digit numbersmulti‑digit numbersmulti‑digit numbers.

Task 1

The students work in pairs using their computers. They are going to learn some of the names of multi‑digit natural numbers.

[Interactive graphic]

The students use the information they have gained to solve the tasks.

Task 2

Match the numbers to their language description. Fill in the gaps with the appropriate digit.med6d539ec37f4712_1527752263647_0Match the numbers to their language description. Fill in the gaps with the appropriate digit.

A. 6000             1. nine million

B. 90000   2. nine hundred thousand

C. 900000 3. six thousand

D. 9000000 4. sixty million

E. 60000000   5. six hundred million

F. 600000000 6. nine hundred thousand

A. …. B. …. C. …. D. …. E. …. F. …

The students come up with the following conclusion:

- what number ten hundred  are equal to,
- how many zeros the numbers of ten thousand and hundred thousand have got,
- how many zeros the number of thousand thousand has got,
- how the number with 6 zeros is called.med6d539ec37f4712_1527752256679_0- what number ten hundred  are equal to,
- how many zeros the numbers of ten thousand and hundred thousand have got,
- how many zeros the number of thousand thousand has got,
- how the number with 6 zeros is called.

The students write the following conclusions:

- 10 hundred makes a thousand,
- Thousand of thousand makes a million.

The students work individually using their computers. They are going to watch the method of writing the language description of multi‑digit number.

Task 3

Open the slideshow. Watch the method of writing the number of six million seven hundred sixty nine thousand two hundred eighty five.

[Slideshow]

On the basis of the information presented in the slideshow the students complete the task 4.

Task 4

Write the following numbers using the formula shown below:

a) 52998451 =

b) 3015006 =

c) 708020 =

Task 5

Pair work. The first student writes any number consisting of 4 to 9 digits. The other student is going to read this number aloud. They repeat this activity for three times and they swap the roles.

The teacher points out that preparing the following digits of units, tens, hundreds, etc. makes us easier to read and write the multi‑digit natural numbers.

$...........................$

$HTUHTUHTU$

$millionthousand$

where:
H - hundreds,
T - tens,
U - units.

The students become familiar with the example and use digits to write the number depending on their language description.

Example

Use digits to write the following number: oneoneone hundred six million twenty thousand five hundred three.

$106020503$

$...........................$

$HTUHTUHTU$

$millionthousand$

where:
H - hundreds,
T - tens,
U - units.

Task 6

Use digits to write the following numbers:

a) sixteen thousand fifty five
b) forty million one hundredhundredhundred one
c) one million seven hundred thousand twelve

The teacher explains that while presenting the numeral data with lots of zeros on the diagram or in the table the following abbreviations are often used:

- „thou” means one thousand.thousandthousand.
- „mill” means one milionmillionmilion.

The students are going to write the number without using the abbreviation of „thou” and „mill”.

Task 7

Write the numbers presented in the following sentences by using the digits.

a) The population in Poland has reached almost 38 mill in 2018.
b) The length of the equator equals slightly over 40 thou km.
c) The area of Spain is about 505 thou kmIndeks górny 2².
d) The Portuguese footballer Cristiano Ronaldo earned about 24 mill Euro in 2017.

A extra task:

Find on the Internet the information about trillion and quadrillion. Write them by using digits.

Lesson summarymed6d539ec37f4712_1528450119332_0Lesson summary

The students do the summarising tasks. 

Then they sum up the class drawing the conclusions to memorise:

- The position of every natural number is determined. In the nine-digitdigitdigit number there are subsequently from the right the following digits: the units, the tens, the hundreds, the units of thousand, the tens of thousand, the hundreds of thousand, the units of million, the tens of million, the hundreds of million.

- „Thousand” can be written down by using the abbreviation of „thou”.

- „Million” can be written down by using the abbreviation of „mill”.

Selected words and expressions used in the lesson plan

oneoneone

tententen

hundredhundredhundred

thousandthousandthousand

millionmillionmillion

multi‑digit numbersmulti‑digit numbersmulti‑digit numbers

digitdigitdigit

decimal systemdecimal systemdecimal system

positional systempositional systempositional system

billionbillionbillion