Download Nth Term - MathsBedwas

Trial and Improvement
Venn Diagrams
Reflect a shape
Rotate a shape
Translate a shape
Across
Up or
Down
ENLARGEMENT
Scale factor x3
Count across and up
from the centre
Times this by 3 from the
centre
Negative enlargement
goes the opposite way
POLYGON ANGLES
Interior angle is
180 – exterior angle
CIRCLE THEOREM
xo
xo
o
DIAMETER
ao
o
2xo
a + b = 180°
x + y = 180°
yo
Angle at centre is twice the
angle at the circumference.
yo
Angle made by a diameter is 90°.
Opposite angles in a cyclic
quadrilateral add up to 180°
xo
yo
RADIUS
xo
yo
xo
yo
Angles subtended by an arc
or a chord in the same
segment are equal.
xo
Alternate segment theorem.
Angle between a tangent and
a radius make 90°
bo
EXPANDING BRACKETS
•Two brackets together –
eyebrows and smiley face are 4
multiplies
FACTORISING BRACKETS
•Pick the x’s to times
together
•Pick the numbers to
times to the question
•Check the smiley
face to see if the x
term is right
FORM AND SOLVE EQUATION
• This one is about angles,
so add algebra together
and put equal to 360.
• If perimeter, do the same
but put = perimeter.
• Solve by simplifying and
solving
PLOTTING GRAPHS
• Complete table of
values
• Plot points on grid
• Join points together
to make a graph
PROPORTION
• Bring in k
• Y = k x2
• Work out k
• If inverse proportion,
• Y=k
x2
Nth Term
Find the nth term of the following sequences and then
calculate the 100th term.
a) 3, 7, 11, 15, …
+4
+4
+4
100th term =
4x100 -1
100th term =
399
Nth term so
far = 4n
Start
number is Nth term
1 is 4n - 1
1. Draw line 2x -3y = 6 by making a table
2. Pick a point not on the line
Take the x and y numbers and put into the
inequality. See if the inequality is true or
false for that side
ESTIMATE OF THE MEAN
•2 extra columns
•Use mid point of groups
•Mid point x frequency
•Big total divided by
little total
PRIME FACTOR TREES
PRIME NUMBERS
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, …
EXAMPLES
Find the product of prime factors for the following numbers:
(a)
(b)
32
8
4
2
10
4
2
2
60
2
5
6
2
3
2
2
ANSWER = 2 X 2 X 2 X 2 X 2
5
=2
ANSWER = 2 X 2 X 3 X 5
2
=2 X3X5
PYTHAGORAS
• TAKE
THE 2 NUMBERS
•SQUARE
•SQUARE
•ADD OR SUBTRACT
•SQUARE ROOT
Area of Isosceles Triangle
Use Pythagoras to find the
height
Then use base x height / 2
for the area
TRIG
Opp
Sin
Opp
Adj
Hyp
•
•
•
•
•
Cos
Hyp
Right angle triangle
Label sides
Pick correct triangle
Cover up the side you want
If finding angle use the 2ndF
button
Tan
Adj
Write
SOHCAHTOA
on the formula
page of the
paper