Transcript calculate perimeter triangle

Learning outcomes
ALL MUST show an appreciation
for exam practise.
MOST SHOULD be able to recall
simple facts that have been covered
this year using old books for
support
SOME COULD extend their learning
with independent use of past
papers (levelled)
EXAM TIPS
Make sure you have your own calculator
Make sure you know how long each paper is
and what time the exams start & finish
Make sure you know what level you are sitting
Make sure you have all the correct equipment
Make sure you review old notes and make new
revision notes & cards.
Make sure you PRACTISE PRACTISE PRACTISE
Number
Learning outcomes
Ensure you know how to use
your calculator for simple
operations…..
8  13  233
2
2
4.5  1.7  6.9   38.7
Number
Learning outcomes
Try these…..
1 2 3 4 5 
2
2
2
2
16  28  52  
40 
196  18  2.5 
2
Calculate the volume of the prism
Learning outcomes
A = (12 x 9) ÷ 2
= 54cm²
9cm
V = 54 x 10
= 540cm³
Algebra
Learning outcomes
Simplify….
= 5a + 3b
(a) a + 4a + 3b
(b) 7a – 4b + 3b + 5
(c) m + 3 - 2m + 9
(d) y × y
= y²
(e) 2p × 3p
= 6p²
= 7a – b + 5
= 12 – m
Algebra
Learning outcomes
Factorise….
(a) 4k + 8
(b) k² - 5k
= 4(k + 2)
= k(k – 5)
(c) 4p³q + 2pq
= 2pq(2p² + 1)
(d) x² - 9 = (x + 3)(x – 3)
(e) x² + 6x + 8 = (x + 2)(x + 4)
Algebra
Learning outcomes
Form an equation then find x for each.
x+ 2
2x
Perimeter = 78m
2x - 1
x
2x + 3
Perimeter = 47m
Algebra
(level
6)
Learning
outcomes
James is x years old. His brother is 6
years older. His friend Sam, is 2 years
younger than James.
What is their total ages in algebra?
x +x+6+ x– 2
= 3x + 4
Algebra
(level
6)
Learning
outcomes
The three boys ages add up to 31.
How old must James be?
3x + 4 = 31
3x = 27
x= 9
Form an equation
and solve it
Quadratic equations (B)
Solve the following quadratic equation.
x² - 9x + 20 = 0
(x – 4)(x – 5) = 0
These two brackets multiply to make 0
(x – 4) = 0 or (x – 5) = 0
x = 4 or x = 5
Using
Exactoutcomes
values
Learning
Find the exact area of the isosceles
triangle.
3
3
2
Pythagoras
and Quadratics
Learning outcomes
A
x
B
(x + 4)
(x + 2)
(i) Show that
C
x² - 4x - 12 = 0
(i) Solve the equation x² - 4x - 12 = 0
Fractions
area
Learningand
outcomes
5
cm
8
2
6
5 cm
The area of the square is 18 times the
area of the triangle. Work out the
perimeter of the square.
Box
and whisker
diagrams
Learning
outcomes
Draw a box and whisker diagram for
the following data.
Lowest value = 18
Exchange
Learningrates
outcomes
Emma wants to buy a pair of headphones.
In America, they cost $130.
In the UK they cost £60 + 15% VAT.
The exchange rate is £1 = $1.74
Which country should she buy them in?
$130  1.74  £74.71
60 1.15  £69.00
She should buy them in the UK
Reversing the mean
Learning outcomes
The mean of 8 numbers is 6. When an 9th
number is added, the mean is now 7.
What is the 9th number?
total data items x mean = total
8 x 6 = 48
9 x 7 = 63
63 – 48 = 15
The 9th number is 15
Algebraic fractions
Learning outcomes
Give that
2
p
x
3
q
2x  6
x 3
r
2x
Simplify….
(a) p + q
(c) p ÷ r
(b) p - r
(d) q x r
Prime factors
Learning outcomes
Give that
720  2  3  5
x
y
Find the values of x and y
Standard form
Learning outcomes
Find the area and perimeter of this
rectangle. Give your answers in
Standard form.
2.4 10
3
310
4
Surds
Learning outcomes
Simplify, leaving your answer in
surd form where appropriate
(a)
27  147
(b)
18  12
Probability
– independent events
Learning outcomes
A spinner is spun three times.
Calculate the probability that it will land
on red once, green once and yellow once.
1 1 3
3
P( RGY )    
8 4 8 256
1 1 3
3
P(GRY )    
4 8 8 256
P( RGY )  P( RYG)  P(GYR) 
P(GRY )  P(YRG)  P(YGR)
3
18
9
P(anyRGY )  6 


256 256 128
Simultaneous
equations
Learning outcomes
6x + 8y = 10
6x - 9y = 27
Substitute…
3x + 4(-1) = 5
3x – 4 = 5
3x = 9
17y = -17
y = -1
x= 3
Similar shapes
Circle Theorems
Angle ABC in terms of y
Angle ABC = 180° – ½ y
Prime
numbers
and prime factors
Learning
outcomes
Write 360 as a product of its prime factors.
360
36
6
2
10
6
5
3 2
3
3
2
2
360 = 2 × 3 × 5
Data
Handling
Learning
outcomes
Two dice are rolled together.
Find the probability of rolling a double.
Forming
and
solving equations
Learning
outcomes
Calculate the perimeter of the triangle
3x – 5 = 19 - x
4x = 24
x=6
P = 4x + 14
P = 4(6) + 14
P = 38
Data
presentation
Learning
outcomes
Trigonometry
Learning outcomes
Find the length of AB. Give
your answer to 3sf.
B
6
cos 65 
AB
6
AB 
cos 65
AB  14.2cm
A
65°
6cm
C
Algebra
& Number
Learning
outcomes
Use trial and improvement to solve….
x³ + 3x = 40
Show at least four trials.
Give your answer to 1 decimal place.
Percentages
Learning outcomes
Matthew is buying a new laptop. The online
price is 15% less than the normal price. If
the online price is £459, calculate the
normal price of the laptop.
£459 = 85%
£459 = 1%
Normal price is £540
85
£540 = 100%
Trigonometry
Learning outcomes
Show, using this triangle, why
cos 60° =
Find also ;
Sin 60° =
Tan 60° =
3
5
4
5
4
3
5cm
A
60°
3cm
B
4cm
C
Data Handling
Answer 0.82
0.4
0.7
0.3
F
NF
V
0.7 x 0.4 = 0.28
0.6
NV
0.7 x 0.6 = 0.42
0.4
V
0.3 x 0.4 = 0.12
0.6
NV
0.3 x 0.6 = 0.18
Trigonometry
(A*)
Learning outcomes
Find the area of this triangle
1
A  ab sin C
2
A
45°
4cm
6cm
C
A = ½×4×6×sin 45°
B
A = 12 × sin 45°
A = 8.5cm²