Different kinds of numbers

Season 01 • Episode AP04 • Different kinds of numbers

⁰

Different kinds of numbers

Season 01

Episode AP04 Time frame 1 period

Objectives :

•

^{Learn voabulary about numbers.}

•

^{Reognize dierentkinds of numbers.}

Materials :

•

^{Mathing ards with listsof numbers and} appropriate denitions (10 pairs).

•

^{Slideshow with the glossary.}

•

^{Glossary : the dierenttypes of numbers (36 opies).}

•

^{Stikers with numbers tobeguessed.}

1 – Matching game ^{10 mins}

Students are handed out ards with either a list of numbers or a denition. Then they

mingle tond their ounterpart.

2 – Glossary 25 mins

The teaher shows the dierentkinds ofnumbers with aslideshow. Eahpair has tond

what kindtheir numbers belongto.A glossary ishanded out toeverystudentatthe end

of this part.

3 – Who am I ? Remaining time

A number is stiked on eah student's bak, and pairs are formed. Eah one must guess

Different kinds of numbers

Season 01

Episode AP04 Document Glossary

Denition Examples

Anatural number isonethat anbefoundinnature.

Ithasnodeimalpartandnosign.Thesmallestnatural

number is

1

^.

2

^;

67

^;

10989

A whole number is positiveand has no deimalpart.

5

^;

436

^;

0

An integer is just anumberwith nodeimal part. It's

positive (sign

+

^{) if it's greater than}

0

^{and negative}

(sign

−

^{)if it'slower than}

0

^.

− 756

^;

+10

^;

− 77

Anintegerisevenif it'sdivisibleby

2

^,orequivalently if it an be ut intwoequal integer parts.

2

^;

52

^;

− 7008

An integer is odd if it's not even, that is if it's not a

multipleof

2

^.

− 3

^;

17

^;

101

A whole number is prime if its only positive divisors

are

1

^{and itself.}

7

^;

31

^;

47

^.

Adeimalnumber isanumberwhosedeimalpart,

the part on the right-hand side of the deimal point,

is madeof a nite number of digits.

12

^;

− 7 . 52

^;

15 . 51

Arationalnumberisanumberwhihanbeexpressed

asa ratioof two integers.Non-integer rationalnumbers

(ommonlyalledfrations) are usually writtenas the

fration

a

b

^{, where}

b

is not zero.

a

is alledthe numera- tor, and

b

the denominator.

17

3

^;

− 45

^;

− ⁴⁷ 5

Anirrationalnumberisanyrealnumberthatisnota

rationalnumberthatis,itisanumberwhihannotbe

expressed as a fration

m

n

^{, where}

m

and

n

are integers, with

n

non-zero.

π

;

√ 2

^;

e

Therealnumbersanbedesribed informallyasnum-

bers with an innite deimal representation. The real

numbers inlude the rational numbers and the irra-

42

^;

− 129 ²³

^;

π

Season 01 • Episode AP04 • Different kinds of numbers

²

Document 1

^{Mathing ards with listsof numbers and denitions}

These numbers are used to ount things.

5

^;

17

^;

142

These numbers have no deimal part and no sign.

0

^;

42

^;

675

These numbers have no deimal part and an be negative or positive.

− 27

^;

2

^;

46

These numbers have no deimal part and are lower than

0

.

− 56

^;

− 343

^;

− 2

These numbers are integers divisible by

2

.

− 56

^;

12

^;

164

These numbers are integers and have exatly two positive divisors.

5

^;

19

^;

23

These numbers have a deimal part with a nite number of digits.

− 6.54

^;

12

^;

²⁷

5

These numbers an be written as ratios of two integers.

24

;

27 5

^;

17 3

These numbers an't be written as ratios of two integers.

π

;

√ 2

;

√ 15

These numbers an be written with an innite number of deimal digits.

2

;

− π

;

16

9

Season 01 • Episode AP04 • Different kinds of numbers

³

Document 2

^{Stikers for the Who am I? game}