Interview
Mathematics AA SL IB Diploma Topic 1 - Numbers and Algebra
- Course
- Institution
- Book
Detailed notes to the first topic of the Mathematics Analysis and Approaches course of the IB Diploma Program. Includes worked examples.
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
IB AA SL Math Summary
-
Summary Oxford IB Diploma Programme: IB Mathematics: Analysis and Approaches, Standard Level, Print and Enhanced Online Course Book Pack - International Baccalaureate (IB)
-
Internal Assessment IB Diploma Mathematics A&A SL: Relationship between Different Cinematographical Factors and a Film's Opening Weekend Revenue
Seller
Follow
LittleEinsteinTutors
Content preview
topics 1 :Numbers and
Algebra
1.1 Exponentials and logarithms
1. 2 Sequences and series
1. 3 Binomial expansion
,rcllglbelcheeefecesheea
Sunday ,B September
remember
⑦ formulas :
1. ( Atb )2 3. -
a
=
C
-
5. ( a- b) 2
a2t2abtb2 b d '
a -
2abtb2
a. D= b. c
2. a-
the 6 .
I
b d 4. ( atbln
antnantbtnabn
'
dtt tbh d
-
a. b. c a.
#
#
bad b. c
⑨ factorization :
1.
Differenceoftwosquares
b ! ( at b) ( a
"
How to discover : 1. Subtraction .
How to factorize : i. Find square root of both .
Example : A -
-
b )
2. Two terms .
2. Open brackets and choose
3. Both have
square root . a positive and a negative
sign .
3. Place the roots .
2.
Perfectsquare
How to discover : 1. Three terms .
How to factorize : 1. Find
square root of first term Example : A2t2abtb2=( at b)2
2. The first and last and last term .
2
2abtb2=( a b)
'
terms have square root 2.
Open only A -
one pair of
-
.
3.The
signs are t
.
-
f. t .
brackets .
4. The middle term has to be 3. When the
first sign is
negative ,
2. times the root of the first the and
answer is
negative
term times the second one .
vice versa .
4. Put the root step
found in one .
5. Put the to the
answer
power of
two .
, Monday 14 September
math review ,
To do
- :
1. Scientific notation and ⑥
significant figures .
2. Laws of exponents .
O
3.
Solving exponential equations O .
Laws of O
4.
logarithms .
5.
Solving logarithmic equations ⑥ .
DV
6.
Change of base .
7. Arithmetic sequence .
D
Scientific Notation
"
2.5 X 10 =
2.500.000.000.000
-
3.41 X 10-8=-0.000000034
"
A X 10
IS a L 10
where :
✓
\ K E 2T
↳ is element of
an
x 108 t 4.1 x 107 → 2.3 x 108 t 0.41 x 108=2.71×1080
£5.52 :X 10-9 t 2.8 x 10-0=35 x 10
-
'
Ot 2.8 x 10-0-137.8×100=3.78×10-90
Ex 3 :
)
"
108)
"
(1.2 x
.
( 1.2 x 10 =
1.44 x yo
Ex 4 :
25644%-3=2.6×510-52 =
26xtsx1O =
2.6 X 2 x 10-6 =
s.2x
, Significant figures rules
1. All non zero -
digits are significant .
Ex : 74818226 =
8s.fi
123.45=54 .
.
2. All zeros between non zero
-
digits are significant .
Ex : 103.05 = 5 Sf .
780002 =
6 Sif .
3. Zeros to the left of an implied decimal point are not significant whereas ,
zeros to the right of an explicit decimal
Ex 23000=25 .f
are significant .
:
.
23000.0 =
Cost .
4. To the follow
right of a decimal point ,
all
leading zeros are not
significant ,
whereas all zeros that non zero -
digits
Ex 0.0043 =
Is .f
are
significant .
: .
0.0043000 =
5. S.f.
Laws Of exponents 3EHeas
pg .
98
Xm
"
Xmtn 4. X m= I
-
1. .
x =
xm
II fxy)m=xmym
n
xm 5.
-
2.
=
"
3. ( Xm)h=Xm 6. XO = 1
To do :3EHeas
-
exercise 313 99-100
f
pg .
exercise 3C
pg .
101-1020
exercise 3D .2
pg .
105-1060
exercise 313 :
1.
Simplify :
pP
"
a. 54×57--5 103-4
-4
,gH÷= ( 3414=316--43046721
"
( 543=5
1,0¥
Ks
pal
i. K
c
g. =p
-
=
e.
-
. .
2. Write as powers of 2
:
22 b. 29.23 d. 2-3 25 g. 21h 26%2-615271.2-7
s '
a. e. f. 2- .
2- i.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller LittleEinsteinTutors. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $6.51. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
62555 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now