## Presentation on theme: "FormulaeFormulae. Objectives grade D Objectives grade C."— Presentation transcript:

FormulaeFormulae

Objectives Grade B Rearrange formulae that include brackets, fractions, squares and square roots. Such as:

Objectives Grade B Rearrange formulae that include brackets, fractions, squares and square roots. Such as:

Objectives Grade B Rearrange formulae that include brackets, fractions, squares and square roots. Such as:

Objectives Grade B Rearrange formulae that include brackets, fractions, squares and square roots. Such as:

Objectives Grade A Rearrange formulae where the variable appears twice

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: 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 -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: 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

Create an equation to work out the value of x

How many x’s ?3x How many degrees are their around a point? 360

Create an equation to work out the value of x 3x + 60 = 360 Now solve 3x = 300 - 60 ÷ 3 x = 100

P=3q + 5 Make q the subject Just like solving equations we do the same to both sides Just like solving equations we do the same to both sides

P=3q + 5 Make q the subject P = 3q + 5 -5 P - 5 = 3q ÷ 3

Rearranging formulae when expression includes brackets – make x the subject ÷ a + b

Make c the subject - 32 x 5 ÷ 9

Pythagoras Theorem a 2 + b 2 = c 2

Make a the subject - b 2

Pythagoras Theorem a 2 + b 2 = c 2 Make b the subject - a 2

Pythagoras Theorem a 2 + b 2 = c 2 Make c the subject

Pendulum swing Activity – substitute g stands for gravity and in GCSE maths we round gravity to 10 m/sec/sec

Pendulum swing Activity – substitute g stands for gravity and in GCSE maths we round gravity to 10 m/sec/sec

Pendulum swing 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 Activity – substitute

Pendulum swing make l, the length, the subject 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 2 π is a number Π is a number a little over 3, it is not a variable Divide by 2 π Square

Divide by 2 π Square Times by g

Variable appears in more than one place