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FormulaeFormulae

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Objectives grade D

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Objectives grade C

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

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

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

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

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Objectives Grade A Rearrange formulae where the variable appears twice

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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

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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

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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

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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

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Substitute A=-7, D=30 to work out what the value of C

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Create an equation to work out the value of x

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

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

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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

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

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

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Make c the subject - 32 x 5 ÷ 9

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Pythagoras Theorem a 2 + b 2 = c 2

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Make a the subject - b 2

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

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

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

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

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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

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Pendulum swing Activity – substitute

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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

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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

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Divide by 2 π Square Times by g

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Variable appears in more than one place

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3.6 Solving Quadratic Equations

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