formulaeformulae. objectives grade d objectives grade c
TRANSCRIPT
FormulaeFormulae
Objectives grade DObjectives grade D
9
1)D(A:assuch formulae dcomplicate
more more into numbers Substitute
C
Objectives grade CObjectives grade C
53qp:assuch formulaelinear Rearrange
it. solving andequation an formingby problem asolution a Find
Objectives Grade BObjectives Grade B
Rearrange formulae that include brackets, fractions, squares and square roots. Such as:
subject them make
2mcE
Objectives Grade BObjectives Grade B
Rearrange formulae that include brackets, fractions, squares and square roots. Such as:
subject x themake)( bxaz
Objectives Grade BObjectives Grade B
Rearrange formulae that include brackets, fractions, squares and square roots. Such as:
subject theC make
325
9
CF
Objectives Grade BObjectives Grade B
Rearrange formulae that include brackets, fractions, squares and square roots. Such as:
subject thel make
2g
lT
Objectives Grade AObjectives Grade A
Rearrange formulae where the variable appears twice
subject x themake
bx
axy
What is:What is:
If a=3 b=2 c=-1
a + b + c
ab
2a + 3b – 4c
When two letters are beside each other it means they multiply each other
When a number and a letter are beside each other it means they multiply each other
What is:What is:
If a=3 b=2 c=-1
3 + 2 + -1 =
3 x 2 =
2 x 3 + 3 x 2 – 4 x -1 =
Add a negative number
Negative Numbers Negative Numbers
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Adding a positive number
Subtracting a negative number
Adding a negative number
Subtracting a positive number
What is:What is:
If a=3 b=2 c=-1
3 + 2 + -1 =
3 x 2 =
2 x 3 + 3 x 2 – 4 x -1 =
B O D M A S
4
6
16
Add a negative number
Negative times a negative
Substitute A=-7, D=30 to work out what the
value of C
Substitute A=-7, D=30 to work out what the
value of C
9
1)D(A C
Substitute A=-7, D=30 to work out what the
value of C
Substitute A=-7, D=30 to work out what the
value of C
9
306
9
1)30(-7
C
Substitute A=-7, D=30 to work out what the
value of C
Substitute A=-7, D=30 to work out what the
value of C
209
180
9
306
9
1)30(-7
C
Create an equation to work out the value of x
Create an equation to work out the value of x
x+10
x x+50
Create an equation to work out the value of x
Create an equation to work out the value of x
x+10
x x+50
How many x’s ? 3x
How many degrees are their around a point?
360
Create an equation to work out the value of x
Create an equation to work out the value of x
x+10
x x+50
3x + 60 = 360
Now solve
3x = 300
- 60
÷ 3
x = 100
P=3q + 5Make q the subject
P=3q + 5Make q the subject
Just like solving equations we do the same to both sidesJust like solving equations
we do the same to both sides
P=3q + 5Make q the subject
P=3q + 5Make q the subject
P = 3q + 5 -5
P - 5 = 3q÷ 3
qp
3
5
Rearranging formulae
when expression
includes brackets – make x the
subject
Rearranging formulae
when expression
includes brackets – make x the
subject
)( bxaz
bxa
z
÷ a
xba
z
+ b
Make c the subject
Make c the subject
325
9
CF
- 32
5
932
CF
x 5
CF 9325
C
F
9
325 ÷ 9
Pythagoras Theorema2 + b2 = c2
Pythagoras Theorema2 + b2 = c2
3.00 cm
4.00 cm
5.00 cm
90.0 °
5.00 cm
3.00 cm
4.00 cm
5.00 cm
4.00 cm
4.00 cm
3.00 cm
3.00 cm
Pythagoras Theorema2 + b2 = c2
Pythagoras Theorema2 + b2 = c2
3.00 cm
4.00 cm
5.00 cm
90.0 °
5.00 cm
3.00 cm
4.00 cm
5.00 cm
4.00 cm
4.00 cm
3.00 cm
3.00 cm
222 cba Make a the subject
222 bca
22 bca
- b2
Pythagoras Theorema2 + b2 = c2
Pythagoras Theorema2 + b2 = c2
3.00 cm
4.00 cm
5.00 cm
90.0 °
5.00 cm
3.00 cm
4.00 cm
5.00 cm
4.00 cm
4.00 cm
3.00 cm
3.00 cm
222 cba Make b the subject
222 acb
22 acb
- a2
Pythagoras Theorema2 + b2 = c2
Pythagoras Theorema2 + b2 = c2
3.00 cm
4.00 cm
5.00 cm
90.0 °
5.00 cm
3.00 cm
4.00 cm
5.00 cm
4.00 cm
4.00 cm
3.00 cm
3.00 cm222 cba Make c the subject
cba 22
Pendulum swing
Pendulum swing
g
lT 2
Activity – substitute
g stands for gravity and in GCSE maths we round gravity to 10 m/sec/sec
Pendulum swing
Pendulum swing
102
lT
Activity – substitute
g stands for gravity and in GCSE maths we round gravity to 10 m/sec/sec
Pendulum swing
Pendulum swing
10
402T
Activity – substitute
l is the length of the pendulum.
Lets call it 40m
T is the time it takes in seconds to make one swing
Pendulum swing
Pendulum swing
10
402T
Activity – substitute
42T
4T
Pendulum swing
make l, the length, the
subject
Pendulum swing
make l, the length, the
subject
g
lT 2
How long should it take for one swing of
the pendulum?
Then we need to make l the subject as
we know T
Pendulum swing
make l, the length, the
subject
Pendulum swing
make l, the length, the
subjectg
lT 2 2π is a number
Π is a number a little over 3, it is not a
variable
Divide by 2π
g
lT
2 Square
g
lT
2
2
g
lT 2
Divide by 2π
g
lT
2Square
g
lT
2
2
lT
g
2
2
Times by g
Variable appears in more than one
place
Variable appears in more than one
place
bx
axy
axbxy )(axbyxy
Variable appears in more than one
place
Variable appears in more than one
place
bx
axy
axbxy )( axbyxy
abyxxy abyxxy abyyx )1(
Variable appears in more than one
place
Variable appears in more than one
place
bx
axy
axbxy )( axbyxy abyxxy
abyxxy abyyx )1(
1
y
abyx