describing formulae

4
2 unit 1 classwork section 1 classwork SECTION 'l numbers and dimensions A Read out these numbers. 1 3 B 1.053 15 15387 2 14 9 2,279 16 735 3 40 1 0 10,87 4 17 90 005 4 93 11 1200 18 1931 5 102 12 100,302 19 44'829 6 231 1 3 1,000,000 20 B0 75 7 995 14 82985 B Put in the decimal point. eg '12'00. or eg 1,000, when you hear these numbers. 27149 385293 91 349 72835 7 219 F Use these patterns to ask and about objects in your classroom, table, etc. answer questrons eg window. door. \ *fJ ' ,,; ( 0) s Ea ,q B, ux VO TA OS v9 o ?5 S\A Lub .9 ,V 09 vt 1\ 0a -o' i o L $ 0) 3 J E L .o lr \r\ j6 L U (^ a) F I o VI a OJ J L o lr C Write down the names of these units: mm. m, cm. km. Write down the twelve values you hear. What are these dimensions called? I hioh I How I *io" I ir z long Height. width and length are all nouns lign, wide.and long are all adjectives . Height, width. length are I dimensions 8593 10301 281 the comma. 001 00 3005 D r--T",- high. rs . . wide long. is the heig ht r,nlidth length height width length lengtn. height width length

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Page 1: Describing Formulae

2

unit 1

classworksection 1

classworkSECTION 'l numbers and dimensions

A Read out these numbers.

1 3 B 1.053 15 153872 14 9 2,279 16 7353 40 1 0 10,87 4 17 90 0054 93 11 1200 18 19315 102 12 100,302 19 44'8296 231 1 3 1,000,000 20 B0 757 995 14 82985

B Put in the decimal point. eg '12'00. oreg 1,000, when you hear these numbers.

27149 38529391 349 728357 219

F Use these patterns to ask andabout objects in your classroom,table, etc.

answer questronseg window. door.

\*fJ ',,;(0)

s

Ea,q B,uxVOTAOSv9

o?5S\A

Lub.9

,V 09vt1\

0a -o'

ioL$

0)3JEL

.olr\r\

j6LU(^a)

FI

oVIaOJJ

Lolr

C Write down the names of these units: mm. m, cm.km.

Write down the twelve values you hear.

What are these dimensions called?

I hioh I

How I *io" I ir z

long

Height. width and length are all nouns

lign, wide.and long are all adjectives

. Height, width. length are I dimensions

859310301281

the comma.

001 003005

D

r--T",-

high.rs . . wide

long.

is theheig htr,nlidth

length

heightwidthlength

lengtn.

heightwidthlength

Page 2: Describing Formulae

I

G Make a table of adjectives and thenouns like the one below. When Youof adjectives and nouns, add them to

SECTICN 2

A How are

a* b=ca- b:d

We can also sa,,,,

axb:e

These signs indicatenouns and verbs arethem ? The fi;'st one

reading basic formulaethese formulae spoken ?

correspondingmeet new pairsthe list. axb=e

d

D

mathernatical Processes. Whatused to taik and r,t,rite about

is done as an examPle.

a

-:{t)

H

1

Describe this

w=0 95 mh =1 02 m| =?-.15 m

block, using the dimenstons glven:

2 w=34'24 cmh =18 75 crn| =72'3'1 cm

3 w=0'23 mh=009m| =085m

Th

II These signs ( ) are calledThese signs I J are called

ABC are letters;

How do we read. ,?, ?

Cef are -=_-r-

ietters.li*'i;

$B How are these fractions spoken in English?

1Lz?=i 5 3 .16

13+zV

Sign Noun Verb

t addition add

X

Page 3: Describing Formulae

q

F

rI.

iiII

l

II

t

c

1 O E=T+ P*c+e

these values sPoken 7

(Y, - v ''\6 ',,-v =\7, Jtx-x

)

xt v' z'J +:.-: * '- laD,C8 d=.,/t(x --x )''-(r'-V)''+(z -2")'')

9 b'' =a' (1 -.e )

10 x' 't Vt+2gx+ 2f Y+7-=g

SEC'IION 3 reading more complex formulae

A What do tlrese symbols mean in English 2 Give an

example oi each one

I - 6 > 11 cc

2+1<12co3 -:: E

4 --> I < 14

5

B H'ere is the Greek slphabet Make sure you knovv

how, this ib read.

tl()

I

li)

lt

P.ractise readrng ouI

1

f - e'znu'Lc

E = d7-.0

2nflA/ --"ur. P

these exPresslons:

luA^.-tr+ ,- 4nR'

5 y,,=4rx '1 O-t Hm''L

D /^-U U-n- , .:t -n a(i L

25

unit 2

class.vorkSeC',rOit 2Read out

a+bx= -i

.Ax+Y-" ^_'iOU

1=2+ (n-1)d

V= lR

111--r-- .

these equatlons:

6

1

v=u+al

.Ft=rltv- ntt

1MD Fl

do--.---u3

4

D Flow are

x'x.X,,

1

2

3

4

5

XD1

x-"1/x

{x{x

Now read out these values and equations

ZOcnrs . x'?gd gt.t t x3'o

33 cm3 (a+b'2)2

4.39 cm" J xV

9 1 x 1O t' kg i/ (x-a')

E Practise reading these expressions:

1

" xt'

ynitt -y frt

xz -a? = (x+a) (x*a)

Y= ae*'

nx 1 + n1X2

" m+n

v.AlJ8l'rrjAr: E"7

HIN:JO-3r'l'I oo fi oKrinlY.AP?ritYl\1 oZ(')0

c

ii

I

fif:ri;t:;xg&m

s

Page 4: Describing Formulae

26

unit 2classworksection 2

;

drill 3

Number onea sguared plus b squared equals c.

Number liruox rc the pavt/er of a half over d equals thrrty

/2e \J v,=^/\rV,l 9 o=

*o '?B u=# 10 ^t'

K

Myc P_+_!A4Q

tQ2-",2\3nR2\" .i )

D Here is the formula for calculating the volume of a.cylinder:

V=nr2 h

Now, read through this simple calculation with yourteacher:

height 16'3 cm andvolume.

1 a21b2=c

x"'? -,=3O"d

X- t'2

5 --,-:1a'+ D'

/v x\'o $-alV \xt +Y')

(b- c)'a=-u7

O1

7'6 x'10-3 m s-'

aJ

4A is a solid metal cylinder ofdiameter 6'7 cm. Calculate its

V= nr2 hn:3 142

d,?

67 c.ctr ^*J JJ UIIIIh:16'3cm AV:3.142x3.35, x 1 6.3

=514 75 cm3

E \,Vrite dovrn the formulae you hear.

F Read out these exPressions:

'1 0>90' 6 0=05' 11

2 x-->q 7 E<+0'32 12

3 eqT I 1r=5'3 13

4 u=p n .'.5:1+A 14-c a,*b, '10 2>1 15

X

x2 v28 "+i;=1a' D'

1

h

l

drill 4Wlrat's the square root of x?t 1.

i

\A/hat's y to the power oI 4;:3.78.

a,/ *.=1Z'. --- 5:_!:1..r* d',!";,2,;? . l z:7 29

y,o=3.7g x-, :40'- a-":O.72'ty2 ? =7 21 '5 yfl-1 =7 ' x-7 ='91

drill 5ls x equal io y?No. x is greater than y.ls a proportional to b? ?

No, a is equal to b2.

?3tv1 J-2A- 32'3'16

$(24+911=r1516

tnrt

t,a:

i:

!

*ifti't::,:

€$

I*ftEt

x>Yo->ooY=+30

)',>45z--5O0<90"

a:b,t* {lf,x.da2:b2

l-- 6 **]