Distributive property
.
Natural number
.
N
.
Surd
.
Z
.
Integer
.
R
.
Real number
.
Rational Number
.
Q
.
Recurring decimal
.
Irrational number
.
R\Q
.
How do you fill in sets?
When filling in sets work from the inside out. (If stuck use algebra)
a* x a” = ?
a *+”
a*
— = ?
a”
a*-“
a* (where *= 0) = ?
1
(a*)” = ?
a*”
a-* = ?
a*
1
—
q
a (where 1/q is a power) = ?
_____
q /
/ a (where q is a power)
p
—
q
a (where p/q is a power)
___ p
q/ a ) (where q and p are powers
(ab)* =
ab
(a/b)* (where a is over b) =
b*
__ __
/ a / a = ?
1/2 1/2 1
a x a = a = a
__ __
/a /b = ?
1/2 1/2 1/2 ___
a x b (ab) = /ab
Associative property
.
\_\_ /a --- = ? \_\_ /b
1/2 a 1/2 \_\_\_ ---- = (a/b) = /a 1/2 /--- b / b
When operating on surds can like terms be added?
yes
When operating on surds can unlike terms be added?
no
__ __
/a + /b = ?
you can’t simplify it
__ __
/a - /b = ?
It cannot be simplified
Algebra
.
Variable
.
Factor
.
Substitution
.
Quadratic expression
.
Equivalent expressions
.
Indices
.
Term
.
Distributive law
.
Difference of two squares
.
Coefficient
.
Division
.
Factors
.
Factorise
.
Common factor
.
Algebraic fractions
.
constant
.
expression
.
long division
.
linear expression
.
Infinite
.
Real numbers
.
Finite
.
element
.
Natural numbers
.
inequality sign
.
integers
.
inequalities
.
compound inequaltities
.
linear equation
.
>
.
>
-
.
__
( _
(__
.
N
.
Z
.
R
.
___
(-/-
—
.
(/) or {}
.
___
(___
.
___
( /
—
.
#
.
U
.
A n B
.
A u B
.
A\B
.
B\A
.
A’
.
Simultaneous equations
.
Algebraic
.
Solve/Verify
.
Graphical
.
Manipulate formula
.
‘Opposite’ operation
.
Rectangular solid
.
Cube
.
Capacity
.
Volume
.
Litre
.
Axiom
.
Theorem
.
Corollary
.
Converse of Theorem
.
Logical argument
.
Proof of Theorem
.
Implies
.
Hypotenuse
.
Pythagoras’ Theorem
.
Cyclic quadrilateral
.
Pythagorean triple
.
Roots
.
Factors
.
Quadratic Formula
.
Curved surface area
.
Total surface area
.
prism
.
faces, vertices and edges
.
cross-section of prism
.
triangular-based prism
.
rectangular prism
.
hexagonal prism
.
cylinder
.
sphere
.
comparison ratios
.
hemisphere
.
right circular cone
.
net of a cone
.
slant height of a cone
.
lateral surface of cone
.
vertex
.
equal volumes
.
flow rate
.
displaced liquids
.
TSA
.
compound shape
.
Co-ordinate geometry
.
mid-point
.
slope
.
length of line segment
.
equation of a line
.
distance between points
.
intersection of lines
.
undefined
.
mutualyy exclusive events
.
independent events
.
tree diagram
.
systematic list
.
The fundamental principal of counting
.
Equally likely outcomes
.
Probability of an event
.
expected frequency
.
two way table
.
possible outcomes
.
sample space
.
[P(E)]
.
Average speed
.
distance-time graph
.
speed-time graph
.
variables
.
axes
.
constant
.
independent variable
.
dependent variable
.
hypotenuse
.
right-angled triangle
.
opposite side
.
adjacent side
.
trigonometric ratio
.
ratio
.
sin A
.
Cos A
.
Tan A
.
Angle of elevation
.
Angle of depression
.
sine
.
cosine
.
tangent
.
”
.
’
.
- (if * is o)
.
degrees
.
minutes
.
seconds
.
special angles
.
linear function
.
quadratic function
.
exponential function
.
arrow diagram
.
domain
.
codomain
.
range
.
positive coefficient
.
negative coefficient
.
transformation of functions
.
image of the graph
.
translation of
.
vertical translation of
.
with respect to
.
rate of change
.
plotted on the same axes and scales
.
Selling price
.
cost price
.
profit
.
loss
.
percentage profit
.
percentage loss
.
mark-up
.
margin
.
wage
.
salary
.
gross pay
.
gross salary
.
gross income
.
gross tax
.
tax credits
.
depreciation
.
compound interest
.
Annual Percentage Rate
.
Annual Equivalent Rate
.
Standard rate of tax
.
Higher rate of tax
.
Pay as you earn
.
PAYE
.
AER
.
APR
.
standard rate cut-off point
.
SRCOP
.
tax due
.
tax payable
.
USC
.
PRSI
.
Universal social charge
.
pay related social insurance
.
statutory deductions
.
non-statutory deductions
.
net income
.
net pay
.
take-home pay
.
income tax
.
all earnings up to the standard rate cut-off point
.
balance of the gross pay
.
type of data
.
graphical analysis of data
.
census
.
variation
.
inferences
.
representative of
.
biased samples
.
simple random sampling
.
average
.
bar chart
.
bias
.
nominal categorical data
.
ordinal categorical data
.
class interval
.
cluster of data
.
data
.
data handling cycle
.
Dataset
.
descriptive statistics
.
sumary statistics
.
distribution
.
Five-number summary
.
frequency
.
frequency table
.