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Transcript 
Numeracy in Science – Rearranging equations and formulae
Equations and formulae are used in
Physics, Chemistry and Biology.
Sometimes you will need to rearrange
them to work something out.
π’…π’Šπ’”π’•π’‚π’π’„π’†
𝒔𝒑𝒆𝒆𝒅 =
π’•π’Šπ’Žπ’†
To rearrange them, you need to
understand what they mean.
The formula for calculating speed is
shown on the right. What does it
mean?
A
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† βˆ’ π’•π’Šπ’Žπ’†
B
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† ÷ π’•π’Šπ’Žπ’†
C
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† × π’•π’Šπ’Žπ’†
D
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† + π’•π’Šπ’Žπ’†
Experiment to measure the speed of
an object
Numeracy in Science – Rearranging equations and formulae
You rearrange an equation when what you want to work out is not the
subject. In the equation below, β€œpower” is the subject. If I wanted to
work out β€œvoltage” or β€œcurrent”, I would need to rearrange it.
π’‘π’π’˜π’†π’“ = π’—π’π’π’•π’‚π’ˆπ’† × π’„π’–π’“π’“π’†π’π’•
What calculation do you think you would need to do to work out the
voltage? (Remember, dividing is the reverse of multiplying).
A
π’—π’π’π’•π’‚π’ˆπ’† = 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 ÷ π’‘π’π’˜π’†π’“
B
π’—π’π’π’•π’‚π’ˆπ’† = π’‘π’π’˜π’†π’“ ÷ 𝒄𝒖𝒓𝒓𝒆𝒏𝒕
C
π’—π’π’π’•π’‚π’ˆπ’† = π’‘π’π’˜π’†π’“ × π’„π’–π’“π’“π’†π’π’•
D
π’—π’π’π’•π’‚π’ˆπ’† = π’‘π’π’˜π’†π’“ + 𝒄𝒖𝒓𝒓𝒆𝒏𝒕
Experiment to measure the current
in an electrical circuit and the
voltage across resistors
Numeracy in Science – Rearranging equations and formulae
The formula for calculating speed is
shown on the right.
It can also be written as:
π’…π’Šπ’”π’•π’‚π’π’„π’†
𝒔𝒑𝒆𝒆𝒅 =
π’•π’Šπ’Žπ’†
Speed = distance ÷ time
How could this be rearranged to
calculate distance?
A
π’…π’Šπ’”π’•π’‚π’π’„π’† = 𝒔𝒑𝒆𝒆𝒅 βˆ’ π’•π’Šπ’Žπ’†
B
π’…π’Šπ’”π’•π’‚π’π’„π’† = π’•π’Šπ’Žπ’† ÷ 𝒔𝒑𝒆𝒆𝒅
C
π’…π’Šπ’”π’•π’‚π’π’„π’† = 𝒔𝒑𝒆𝒆𝒅 × π’•π’Šπ’Žπ’†
D
π’…π’Šπ’”π’•π’‚π’π’„π’† = 𝒔𝒑𝒆𝒆𝒅 ÷ π’•π’Šπ’Žπ’†
Experiment to measure the speed of
an object
Numeracy in Science – Rearranging equations and formulae
The formula for calculating the
pressure on a surface is shown on
the right.
𝒇𝒐𝒓𝒄𝒆
𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆 =
𝒂𝒓𝒆𝒂
It can also be written as:
pressure = force ÷ area
How could this be rearranged to
calculate force?
A
𝒇𝒐𝒓𝒄𝒆 = 𝒂𝒓𝒆𝒂 ÷ 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆
B
𝒇𝒐𝒓𝒄𝒆 = 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆 ÷ 𝒂𝒓𝒆𝒂
C
𝒇𝒐𝒓𝒄𝒆 = 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆 × π’‚π’“π’†π’‚
D
𝒇𝒐𝒓𝒄𝒆 = 𝒂𝒓𝒆𝒂 + 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆
Experiment to examine the effect of
applying a force over different areas
Numeracy in Science – Rearranging equations and formulae
The formula for calculating density is
shown on the right.
It can also be written as:
π’Žπ’‚π’”π’”
π’…π’†π’π’”π’Šπ’•π’š =
π’—π’π’π’–π’Žπ’†
density = mass ÷ volume
How could this be rearranged to
calculate volume?
A
π’—π’π’π’–π’Žπ’† = π’Žπ’‚π’”π’” ÷ π’…π’†π’π’”π’Šπ’•π’š
B
π’—π’π’π’–π’Žπ’† = π’…π’†π’π’”π’Šπ’•π’š ÷ π’Žπ’‚π’”π’”
C
π’—π’π’π’–π’Žπ’† = π’…π’†π’π’”π’Šπ’•π’š × π’Žπ’‚π’”π’”
D
π’—π’π’π’–π’Žπ’† = π’Žπ’‚π’”π’” + π’…π’†π’π’”π’Šπ’•π’š
Experiment to compare the densities
of different liquids
Numeracy in Science – Rearranging equations and formulae
Equations and formulae are used in
Physics, Chemistry and Biology.
Sometimes you will need to rearrange
them to work something out.
π’…π’Šπ’”π’•π’‚π’π’„π’†
𝒔𝒑𝒆𝒆𝒅 =
π’•π’Šπ’Žπ’†
To rearrange them, you need to
understand what they mean.
The formula for calculating speed is
shown on the right. What does it
mean?
A
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† βˆ’ π’•π’Šπ’Žπ’†
B
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† ÷ π’•π’Šπ’Žπ’†
C
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† × π’•π’Šπ’Žπ’†
D
𝒔𝒑𝒆𝒆𝒅 = π’…π’Šπ’”π’•π’‚π’π’„π’† + π’•π’Šπ’Žπ’†
Experiment to measure the speed of
an object
ANSWER
Numeracy in Science – Rearranging equations and formulae
You rearrange an equation when what you want to work out is not the
subject. In the equation below, β€œpower” is the subject. If I wanted to
work out β€œvoltage” or β€œcurrent”, I would need to rearrange it.
π’‘π’π’˜π’†π’“ = π’—π’π’π’•π’‚π’ˆπ’† × π’„π’–π’“π’“π’†π’π’•
What calculation do you think you would need to do to work out the
voltage? (Remember, dividing is the reverse of multiplying).
ANSWER
A
π’—π’π’π’•π’‚π’ˆπ’† = 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 ÷ π’‘π’π’˜π’†π’“
B
π’—π’π’π’•π’‚π’ˆπ’† = π’‘π’π’˜π’†π’“ ÷ 𝒄𝒖𝒓𝒓𝒆𝒏𝒕
C
π’—π’π’π’•π’‚π’ˆπ’† = π’‘π’π’˜π’†π’“ × π’„π’–π’“π’“π’†π’π’•
D
π’—π’π’π’•π’‚π’ˆπ’† = π’‘π’π’˜π’†π’“ + 𝒄𝒖𝒓𝒓𝒆𝒏𝒕
Experiment to measure the current
in an electrical circuit and the
voltage across resistors
Numeracy in Science – Rearranging equations and formulae
The formula for calculating speed is
shown on the right.
It can also be written as:
π’…π’Šπ’”π’•π’‚π’π’„π’†
𝒔𝒑𝒆𝒆𝒅 =
π’•π’Šπ’Žπ’†
Speed = distance ÷ time
How could this be rearranged to
calculate distance?
A
π’…π’Šπ’”π’•π’‚π’π’„π’† = 𝒔𝒑𝒆𝒆𝒅 βˆ’ π’•π’Šπ’Žπ’†
B
π’…π’Šπ’”π’•π’‚π’π’„π’† = π’•π’Šπ’Žπ’† ÷ 𝒔𝒑𝒆𝒆𝒅
C
π’…π’Šπ’”π’•π’‚π’π’„π’† = 𝒔𝒑𝒆𝒆𝒅 × π’•π’Šπ’Žπ’†
D
π’…π’Šπ’”π’•π’‚π’π’„π’† = 𝒔𝒑𝒆𝒆𝒅 ÷ π’•π’Šπ’Žπ’†
Experiment to measure the speed of
an object
ANSWER
Numeracy in Science – Rearranging equations and formulae
The formula for calculating the
pressure on a surface is shown on
the right.
𝒇𝒐𝒓𝒄𝒆
𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆 =
𝒂𝒓𝒆𝒂
It can also be written as:
pressure = force ÷ area
How could this be rearranged to
calculate force?
A
𝒇𝒐𝒓𝒄𝒆 = 𝒂𝒓𝒆𝒂 ÷ 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆
B
𝒇𝒐𝒓𝒄𝒆 = 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆 ÷ 𝒂𝒓𝒆𝒂
C
𝒇𝒐𝒓𝒄𝒆 = 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆 × π’‚π’“π’†π’‚
D
𝒇𝒐𝒓𝒄𝒆 = 𝒂𝒓𝒆𝒂 + 𝒑𝒓𝒆𝒔𝒔𝒖𝒓𝒆
Experiment to examine the effect of
applying a force over different areas
ANSWER
Numeracy in Science – Rearranging equations and formulae
The formula for calculating density is
shown on the right.
It can also be written as:
π’Žπ’‚π’”π’”
π’…π’†π’π’”π’Šπ’•π’š =
π’—π’π’π’–π’Žπ’†
density = mass ÷ volume
How could this be rearranged to
calculate volume?
ANSWER
A
π’—π’π’π’–π’Žπ’† = π’Žπ’‚π’”π’” ÷ π’…π’†π’π’”π’Šπ’•π’š
B
π’—π’π’π’–π’Žπ’† = π’…π’†π’π’”π’Šπ’•π’š ÷ π’Žπ’‚π’”π’”
C
π’—π’π’π’–π’Žπ’† = π’…π’†π’π’”π’Šπ’•π’š × π’Žπ’‚π’”π’”
D
π’—π’π’π’–π’Žπ’† = π’Žπ’‚π’”π’” + π’…π’†π’π’”π’Šπ’•π’š
Experiment to compare the densities
of different liquids
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