Mathematics: analysis and approaches formula booklet
Diploma Programme
Mathematics: analysis and approaches formula booklet
For use during the course and in the examinations First examinations 2021 Version 1.3
? International Baccalaureate Organization 2019
Contents
Prior learning
SL and HL
2
Topic 1: Number and algebra
SL and HL
3
HL only
4
Topic 2: Functions
SL and HL
5
HL only
5
Topic 3: Geometry and trigonometry
SL and HL
6
HL only
7
Topic 4: Statistics and probability
SL and HL
9
HL only
10
Topic 5: Calculus
SL and HL
11
HL only
12
Prior learning ? SL and HL
Area of a parallelogram
A = bh , where b is the base, h is the height
Area of a triangle
A = 1 (bh) , where b is the base, h is the height 2
Area of a trapezoid Area of a circle
=A 1 (a + b) h , where a and b are the parallel sides, h is the height 2
A = r2 , where r is the radius
Circumference of a circle
C= 2r , where r is the radius
Volume of a cuboid
V = lwh , where l is the length, w is the width, h is the height
Volume of a cylinder
V = r2h , where r is the radius, h is the height
Volume of a prism
V = Ah , where A is the area of cross-section, h is the height
Area of the curved surface of A= 2rh , where r is the radius, h is the height
a cylinder
Distance between two
points (x1, y1) and (x2 , y2 )
d = (x1 - x2 )2 + ( y1 - y2 )2
Coordinates of the midpoint of a line segment with endpoints
(x1, y1) and (x2 , y2 )
x1
+ 2
x2
, y1
+ 2
y2
Mathematics: analysis and approaches formula booklet
2
Topic 1: Number and algebra ? SL and HL
SL The nth term of an
1.2 arithmetic sequence
un = u1 + (n -1) d
The sum of n terms of an
arithmetic sequence
Sn=
n 2
(
2u1
+ (n -1) d ) ;
Sn=
n 2
(u1
+
un
)
SL The nth term of a
1.3 geometric sequence
un = u1r n-1
The sum of n terms of a finite geometric sequenc= e Sn
u= 1(rn -1) r -1
u1(1 - rn ) , r 1 1- r
SL 1.4 Compound interest
FV =
PV
?
1
+
r 100k
k n
,
where
FV
is
the
future
value,
PV is the present value, n is the number of years,
k is the number of compounding periods per year,
r% is the nominal annual rate of interest
SL 1.5
Exponents and logarithms ax = b x = loga b , where a > 0, b > 0, a 1
SL 1.7
Exponents and logarithms
log= a xy loga x + loga y lo= ga xy loga x - loga y
loga xm = m loga x
loga
x
=
logb logb
x a
SL 1.8
The sum of an infinite geometric sequence
= S
u1 , 1- r
r ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- 8865 y21 sy mathematics h1 level for 2021 seab
- mathematics 8300 2h exam papers practice
- mathematics analysis and approaches formula booklet
- 2021 nscas grade 6 classroom assessment mathematics nwea
- the national examinations council of tanzania necta
- 2021 grade 6 mathematics released questions
- mathematics syllabus advanced subsidiary level syllabus code 8227
- 2021 grade 7 mathematics released questions
- staar grade 5 mathematics may 2021 released texas education agency
- 2021 vce mathematical methods 1 nht examination report
Related searches
- igcse mathematics questions and answers
- data analysis and interpretation pdf
- analysis and conclusion examples
- financial analysis and interpretation
- data analysis and interpretation examples
- 12 qualitative data analysis and design
- investment analysis and portfolio management
- general mathematics questions and answers
- basic mathematics questions and answers
- mathematics relations and functions
- form 1 mathematics questions and answers
- basic mathematics test and answers