Working scientifically (Year 8)
By the end of this chapter you will be able to
- Name the independent, dependent and control variables in a fair test
- Assess the risks of an activity and say how to control them
- Calculate the mean of repeat readings, and spot an anomaly
- Choose and draw a suitable table or graph, and describe a pattern
- Evaluate evidence, uncertainty and the limits of a model
You should already know
- Working scientifically (Year 7): fair tests, tables and graphs (Chapter 1 of Year 7 Science)
- Speed, distance and time (Year 7 Science)
Where this leads
- Biology and chemistry practicals in the later chapters of this book, where every method uses these skills
National Curriculum for England, Key Stage 3 science, Year 8. Content: 8WS1 ask questions, plan enquiries, control variables, use rates and graphs to test ideas, 8WS2 assess risk and use apparatus, chemicals and living things safely, 8WS3 take repeat measurements, judge precision and calculate means, 8WS4 present data in tables, bar charts, line graphs and scatter graphs, including rates, 8WS5 evaluate methods, anomalies, uncertainty and limits of evidence, 8WS6 use scientific models, including particle, atomic and wave models, to explain and predict.
Exercise P Do you remember?
Method. Share 36 into 4 equal groups.
- Divide. Share 36 into 4 equal parts.36 / 4 = 9
- Write the answer. 9
Check. Check: 9 times 4 is 36. ✓
Method. There are 100 cm in 1 m.
- Convert. Multiply the metres by 100.2.5 x 100
- Calculate. So 2.5 m is 250 cm.2.5 x 100 = 250
- Write the answer. 250
Check. 250 divided by 100 is 2.5. ✓
Method. Recall the SI unit.
- Recall. The SI base unit of mass is the kilogram, kg.kilogram
- Write the answer. kilogram
Check. The symbol is kg. ✓
Method. Recall the graph.
- Recall. A graph that joins points with a line to show change over time is a line graph.line graph
- Write the answer. line graph
Check. Time usually goes on the x-axis. ✓
Method. Add the three numbers.
- Add. Add 7 and 8 to make 15, then add 9.7 + 8 = 15
- Add again. Then 15 + 9 = 24.15 + 9 = 24
- Write the answer. 24
Check. Check: 24 minus 9 is 15. ✓
Variables and fair tests
In an experiment, the independent variable is the one that you change on purpose. The dependent variable is the one you measure, to see whether it depends on the change. A control variable is any other variable that must be kept the same, so that it does not affect the result.
A test is fair when only the independent variable is changed. A good prediction is testable: it can be checked by measuring something.
Key ideas
- The independent variable is the one you change on purpose.
- The dependent variable is the one you measure.
- Control variables are kept the same to make the test fair.
- A testable prediction can be checked by measuring something.
Method. Find the variable that is changed on purpose.
- Find the change. Ruby changes the height of the ramp on purpose.changes on purpose
- Name it. The height of the ramp is the independent variable.height of the ramp
- Write the answer. the height of the ramp
Check. The height is set before each run. ✓
Method. Find the variable that is measured.
- Find the measurement. Ruby measures how far the car rolls.measures
- Name it. The distance the car rolls is the dependent variable.distance the car rolls
- Write the answer. the distance the car rolls
Check. The distance depends on the height. ✓
Method. Find a variable that must not change.
- Think. A control variable must stay the same for every run.stay the same
- Name one. The car, the surface and the starting point must not change.the car
- Write the answer. Accept any one: the car, the surface of the ramp, or the starting point.
Check. If the surface changed, the test would not be fair. ✓
Watch out
Watch out: if you change two things at once, you cannot say which one caused the change. Change only the independent variable.
Exam tip
Exam tip. Write the variable as a name, for example “the height of the ramp”, not just “height”.
Try it (with your teacher, or a grown-up at home). Roll a small toy car, or a book, down a ramp made from a ruler on a book, with a grown-up. Change only the height, keep the car and the surface the same, and measure how far it rolls. Say which variable is independent, dependent and controlled.
Exercise 1A Variables and fair tests
Method. Recall the definition.
- Recall. The variable that you change on purpose is the independent variable.independent variable
- Write the answer. independent variable
Check. Dependent is the one measured. ✓
Method. Recall the definition.
- Recall. The variable that you measure is the dependent variable.dependent variable
- Write the answer. dependent variable
Check. It depends on the independent variable. ✓
Method. Recall the name.
- Recall. A variable that is kept the same is a control variable.control variable
- Write the answer. control variable
Check. Control variables make a test fair. ✓
Method. Find the change on purpose.
- Find it. Ruby changes the ramp height on purpose.height of the ramp
- Write the answer. height of the ramp
Check. The height is set before each run. ✓
Method. Find the measurement.
- Find it. The distance the car rolls is measured.distance the car rolls
- Write the answer. distance the car rolls
Check. The result depends on the height. ✓
Method. Check each one.
- Check (a). Ramps being fun cannot be measured.cannot be measured
- Check (b). The distance rolled can be measured for each ramp.can be measured
- Decide. So the testable prediction is b.b
- Write the answer. b
Check. A testable prediction can be checked by measurement. ✓
Method. Count the variables changed.
- Count. Two variables are changed at once.two variables
- Decide. Then the change cannot be linked to one variable, so the test is not fair; the answer is no.no
- Write the answer. no
Check. Change only one variable at a time. ✓
Method. Think about what must stay the same.
- Think. The amount of ice and the room temperature must stay the same.stay the same
- Name one. So the amount of ice is a control variable.amount of ice
- Write the answer. Accept any one: the amount of ice, or the temperature of the room.
Check. Only the salt should change. ✓
Method. Check whether it must stay the same.
- Check. The way the car is pushed could change the distance.could change
- Decide. So it is a control variable, and the answer is yes.yes
- Write the answer. yes
Check. Keep it the same for every run. ✓
Method. Rate is the change divided by the time.
- Divide. Divide the growth by the time: 12 cm over 4 weeks.12 / 4
- Calculate. The rate is 3 cm per week.12 / 4 = 3
- Write the answer. 3
Check. 3 weeks at 3 cm per week would be 9 cm; 4 weeks gives 12 cm. ✓
Method. Rate is the amount divided by the time.
- Divide. Divide 30 cm3 by 60 seconds.30 / 60
- Calculate. The rate is 0.5 cm3 per second.30 / 60 = 0.5
- Write the answer. 0.5
Check. 0.5 x 60 = 30. ✓
Method. Look at the table.
- Look. The mean distance at 10 cm is 42 cm, but at 40 cm it is 153 cm.42 cm and 153 cm
- Decide. The distance is not the same, so Ruby is not right.not the same
- Write the answer. Accept any reason that quotes two different means, for example 42 cm at 10 cm and 153 cm at 40 cm.
Check. The height does change the distance. ✓
Method. Think about the cause.
- Think. If other things change, the result could be caused by them.could be caused
- Conclude. So the change can be linked only to the independent variable.only to the independent variable
- Write the answer. Accept any sentence that says the change in the dependent variable can then be linked only to the independent variable.
Check. Fair tests give a clear cause. ✓
Method. Count the changed variables.
- Count. Two variables changed: the height and the push.two variables
- Conclude. The effect cannot be shared out between them, so height alone cannot be shown to cause it.shared out
- Write the answer. Accept any sentence that says the push is a second changed variable, so the effect cannot be shared out between height and push.
Check. Only one variable should change. ✓
Risk and safe apparatus
A hazard is something that could cause harm. The risk is the chance that the hazard will cause harm, and how serious that harm could be. A control measure is an action that reduces the risk. A risk assessment lists the hazards, the risks and the control measures before any practical starts.
The table gives three examples of a risk assessment.
| Activity | Hazard | Risk | Control measure |
|---|---|---|---|
| Heating water in a beaker | hot water and glass | burns, or the beaker breaks | use a heat-resistant beaker, warm not boiling water, and a grown-up to supervise |
| Rolling a car down a ramp | a falling car or a heavy book | bruised feet | stand clear of the ramp and keep the bench clear |
| Using a mirror in a light experiment | broken glass | cut fingers | use a plastic mirror, or check the mirror for cracks first |
Key ideas
- A hazard is something that could cause harm.
- A risk is the chance that a hazard causes harm.
- A control measure reduces the risk; it may not remove the hazard.
- Check apparatus and chemicals before you use them.
Method. Find the thing that could cause harm.
- Look. The hot water can cause harm if it touches the skin.can cause harm
- Name it. The hazard is hot water.hot water
- Write the answer. hot water
Check. Hot water and glass are both hazards. ✓
Method. Ask what harm could happen.
- Think. Hot water can scald the skin if it spills.scald
- Name it. The risk is burns.burns
- Write the answer. burns
Check. Burns are the harm that could happen. ✓
Method. Think about how to reduce the risk.
- Think. A control measure must reduce the chance of harm.reduce the chance
- Name one. Using warm water, not boiling, reduces the risk of burns.warm, not boiling
- Write the answer. Accept any one: a heat-resistant beaker, warm not boiling water, or a grown-up to supervise.
Check. Each control measure reduces the risk. ✓
Watch out
Watch out: a control measure reduces a risk but does not always remove the hazard. The hot water is still hot.
Exam tip
Exam tip. Name the hazard first, then the risk, then a control measure that matches the risk.
Try it (with your teacher, or a grown-up at home). Look at the risk table above and talk through one activity from your class. Name its hazard, its risk and two control measures. Do not heat anything yourself; a grown-up or your teacher does any heating.
Exercise 1B Risk and safe apparatus
Method. Recall the word.
- Recall. Something that could cause harm is a hazard.hazard
- Write the answer. hazard
Check. A hazard is not the same as a risk. ✓
Method. Recall the word.
- Recall. The chance that a hazard causes harm is the risk.risk
- Write the answer. risk
Check. Risk includes how serious the harm could be. ✓
Method. Recall the words.
- Recall. An action taken to reduce a risk is a control measure.control measure
- Write the answer. control measure
Check. Control measures are written in the risk assessment. ✓
Method. Find what could cause harm.
- Find it. Broken glass has sharp edges that can cut the skin.sharp edges
- Name it. The hazard is broken glass.broken glass
- Write the answer. broken glass
Check. Glass can cut the hands. ✓
Method. Compare the materials.
- Compare. Plastic is less likely to break and cut the skin than glass.less likely to break
- Decide. So a plastic beaker is safer, and the answer is yes.yes
- Write the answer. yes
Check. Use a material that will not break easily. ✓
Method. Think about the harm.
- Think. A falling book can hit the foot and cause a bruise.hit the foot
- Name it. The risk is bruising.bruising
- Write the answer. bruising
Check. Keep feet clear of the bench edge. ✓
Method. Check the risk.
- Check. Boiling water in glass can break the glass and cause scalds.scalds
- Decide. So pupils must not do this without supervision; the answer is no.no
- Write the answer. no
Check. Supervision reduces the risk. ✓
Method. Compare the two positions.
- Compare. Standing in front of the ramp puts the feet in the way of a falling car.in the way
- Decide. Standing clear keeps the feet away from the falling car.standing clear
- Write the answer. standing clear
Check. Clear space reduces the risk. ✓
Method. Think about safe practice.
- Think. Safety information tells you the hazards before you use a chemical.hazards
- Decide. So the first step is to check the information.check
- Write the answer. check
Check. Never taste a chemical in a lab. ✓
Method. Recall the name.
- Recall. The written plan that lists hazards, risks and control measures is a risk assessment.risk assessment
- Write the answer. risk assessment
Check. It is written before the practical starts. ✓
Method. Compare the two words.
- Compare. The hazard is what could cause harm; the risk is the chance that it does.chance
- Decide. They are different, so Ruby is not right; the answer is no.no
- Write the answer. no
Check. A hazard can be present with a low risk. ✓
Method. Think about what gets hot.
- Think. The surface of the plate gets hot, and water can give off steam.gets hot
- Name one. So the hot surface is a hazard.hot surface
- Write the answer. Accept any one: a hot surface, or steam.
Check. A teacher demonstration keeps pupils at a safe distance. ✓
Method. Think about the hazard.
- Think. The hazard is still there, for example hot water.still there
- Conclude. The control makes harm less likely, so the risk is lower.less likely
- Write the answer. Accept any sentence that says the hazard is still there, but the control makes harm less likely.
Check. The hazard stays; the risk falls. ✓
Repeats, means and precision
Repeating a measurement makes a result more reliable. The mean is the total of the repeat readings divided by how many readings there are. An anomaly is a reading that does not fit the pattern of the others. It must be checked and explained, not just hidden.
Precision is how finely a measurement is made, for example to the nearest millimetre rather than the nearest centimetre.
The table shows three repeat distances at each ramp height, with the mean worked out.
| Ramp height (cm) | Three distances (cm) | Mean (cm) |
|---|---|---|
| 10 | 42, 39, 45 | 42 |
| 20 | 80, 84, 82 | 82 |
| 30 | 118, 121, 115 | 118 |
| 40 | 150, 156, 153 | 153 |
Key ideas
- Mean = total of the readings divided by the number of readings.
- An anomaly does not fit the pattern and must be explained.
- A more precise measuring tool gives finer readings.
- Repeats show whether a result can be trusted.
Method. Add the readings, then divide by 3.
- Add. The total is 80 + 84 + 82 = 246 cm.246
- Divide. Divide the total by the 3 readings: 246 / 3.246 / 3 = 82
- Write the answer. 82 cm
Check. Check: 82 x 3 = 246. ✓
Method. Find the reading far from the others.
- Compare. The first two readings are close to each other, at 118 cm and 121 cm.close together
- Name it. The reading of 175 cm does not fit the pattern, so it is the anomaly.175
- Write the answer. 175 cm
Check. Check the test for a mistake before removing it. ✓
Method. Find the mean of the two remaining readings.
- Add. The total is 118 + 121 = 239 cm.239
- Divide. Divide by 2: 239 / 2.239 / 2 = 119.5
- Write the answer. 119.5 cm
Check. Check: 119.5 x 2 = 239. ✓
Watch out
Watch out: do not include an anomaly in a mean without saying so. State clearly any reading that was left out, and why.
Exam tip
Exam tip. Show the total and the number of readings, then the division. Give the units with the mean.
Try it (with your teacher, or a grown-up at home). Time how long it takes you to count slowly from 1 to 10 with a stopwatch, three times. Write down the three times, find the mean, and say what the spread of your results tells you about precision.
Exercise 1C Repeats, means and precision
Method. Add the three readings.
- Add. Add the readings: 42 + 39 = 81, then 81 + 45.42 + 39 + 45
- Total. The total is 126.126
- Write the answer. 126
Check. 126 divided by 3 is 42. ✓
Method. Divide the total by 3.
- Divide. The total is 126, so divide by the 3 readings.126 / 3
- Calculate. The mean is 42.126 / 3 = 42
- Write the answer. 42
Check. 42 x 3 = 126. ✓
Method. Add, then divide by 3.
- Add. The total is 246.246
- Divide. Divide 246 by 3.246 / 3 = 82
- Write the answer. 82
Check. 82 x 3 = 246. ✓
Method. Add, then divide by 3.
- Add. 118 + 121 + 115 = 354.354
- Divide. Divide 354 by 3.354 / 3 = 118
- Write the answer. 118
Check. 118 x 3 = 354. ✓
Method. Add, then divide by 3.
- Add. 150 + 156 + 153 = 459.459
- Divide. Divide 459 by 3.459 / 3 = 153
- Write the answer. 153
Check. 153 x 3 = 459. ✓
Method. Add, then divide by 3.
- Add. 0.40 + 0.42 + 0.38 = 1.20.1.20
- Divide. Divide 1.20 by 3.1.20 / 3 = 0.40
- Write the answer. 0.40
Check. 0.40 x 3 = 1.20. ✓
Method. Recall the word.
- Recall. A reading that does not fit the pattern of the others is an anomaly.anomaly
- Write the answer. anomaly
Check. An anomaly must be checked. ✓
Method. Think about honesty.
- Think. Leaving out or including readings must be stated, so others can check the result.stated
- Decide. So a mean must not hide an anomaly; the answer is no.no
- Write the answer. no
Check. Always say what was included. ✓
Method. Compare the smallest step.
- Compare. A millimetre is one tenth of a centimetre, so the mm ruler gives finer readings.finer
- Decide. The ruler read to the nearest mm is more precise.mm
- Write the answer. mm
Check. Finer scale, more precision. ✓
Method. Count the digits after the point.
- Count. There is one digit after the decimal point, the 4.one digit
- Write. So the reading has 1 decimal place.1
- Write the answer. 1
Check. 0.4 is written with one decimal place. ✓
Method. Think about the number of repeats.
- Think. More repeats show the spread of results and help find anomalies.spread
- Decide. Three is often a minimum, not always enough; the answer is no.no
- Write the answer. no
Check. Choose the number of repeats to fit the spread. ✓
Method. Look for the reading that does not fit.
- Look. The first two readings are close, at 20 and 22 cm.close
- Name it. The 45 cm reading does not fit the pattern, so it is the anomaly.45 cm
- Write the answer. Accept: the 45 cm reading; check the method, and state why it is excluded if it is.
Check. Check the method before removing a reading. ✓
Method. Think about one reading.
- Think. One reading could have a mistake in it.a mistake
- Conclude. Repeats show a mistake and make the mean more trustworthy.more trustworthy
- Write the answer. Accept any sentence that says repeats show how much the results vary, so a single error can be spotted and the mean is more trustworthy.
Check. Repeats show the spread of the results. ✓
Method. Add, then divide by 3.
- Add. 2.3 + 2.5 + 2.4 = 7.2.7.2
- Divide. Divide 7.2 by 3.7.2 / 3 = 2.4
- Write the answer. 2.4
Check. 2.4 x 3 = 7.2. ✓
Presenting data
A bar chart compares categories or groups, such as the mean distance at each ramp height. A scatter graph shows two sets of numbers, one for each point, and is used to look for a pattern, or correlation. When y increases as x increases, the correlation is positive. When y decreases as x increases, it is negative.
On any graph, the independent variable goes on the x-axis and the dependent variable on the y-axis.
Key ideas
- Bar charts compare categories or groups.
- Scatter graphs show two numerical variables and any pattern between them.
- Positive correlation: y rises as x rises. Negative correlation: y falls as x rises.
- Independent variable on the x-axis; dependent variable on the y-axis.
Method. Decide whether the data are groups or numbers.
- Think. Each ramp height is a separate group, so the data are grouped.groups
- Name it. Groups are best shown in a bar chart.bar chart
- Write the answer. bar chart
Check. A bar chart compares groups side by side. ✓
Method. Look at the direction of the points.
- Look. As the ramp height rises, the distance rolled also rises.rises
- Name it. When y increases as x increases, the correlation is positive.positive
- Write the answer. positive
Check. Negative would mean the points fall from left to right. ✓
Method. Subtract the smaller mean from the larger.
- Read the means. The mean at 40 cm is 153 cm and at 30 cm is 118 cm.153 and 118
- Subtract. The difference is 153 minus 118.153 - 118 = 35
- Write the answer. 35 cm
Check. 118 + 35 = 153. ✓
Watch out
Watch out: a line graph joins points that are measured over time. Do not join points that are not in a sequence, unless a line of best fit shows the trend.
Exam tip
Exam tip. Label both axes with the quantity and the unit, and give each graph a title.
Try it (with your teacher, or a grown-up at home). Use a sheet of squared paper and plot the ramp means as a bar chart, with the ramp height on the x-axis and the mean distance on the y-axis. Then describe the pattern in one sentence.
Exercise 1D Presenting data
Method. Recall the graph for groups.
- Recall. Separate groups are shown as separate bars in a bar chart.bar chart
- Write the answer. bar chart
Check. Bars do not touch. ✓
Method. Recall the graph.
- Recall. Two numerical variables, with points plotted, are shown on a scatter graph.scatter graph
- Write the answer. scatter graph
Check. The points show any pattern. ✓
Method. Recall the pattern.
- Recall. When y rises as x rises, the correlation is positive.positive correlation
- Write the answer. positive correlation
Check. The points rise from left to right. ✓
Method. Recall the pattern.
- Recall. When y falls as x rises, the correlation is negative.negative correlation
- Write the answer. negative correlation
Check. The points fall from left to right. ✓
Method. Recall the rule.
- Recall. The independent variable goes on the x-axis.x-axis
- Write the answer. x-axis
Check. The dependent variable goes on the y-axis. ✓
Method. Read the bar for 30 cm.
- Read. The mean at 30 cm is shown as 118 cm.118
- Write the answer. 118
Check. Check it against the table. ✓
Method. Subtract the two means.
- Subtract. Take 118 from 153.153 - 118
- Calculate. The difference is 35 cm.153 - 118 = 35
- Write the answer. 35
Check. 118 + 35 = 153. ✓
Method. Compare the means.
- Compare. The means are 42, 82, 118 and 153 cm.153
- Decide. The greatest mean, 153 cm, is at 40 cm.40
- Write the answer. 40
Check. The distance rises with the height. ✓
Method. Subtract the smaller from the larger.
- Subtract. The strong magnet picked up 15 and the weak magnet picked up 4.15 - 4
- Calculate. The difference is 11 paperclips.15 - 4 = 11
- Write the answer. 11
Check. 4 + 11 = 15. ✓
Method. Look at the direction of the points.
- Look. The distance rolled rises as the ramp height rises.rises
- Decide. So the correlation is positive, and Ali is not right; the answer is no.no
- Write the answer. no
Check. Positive: the points rise from left to right. ✓
Method. Multiply the heights by the repeats.
- Multiply. There are 4 heights, and each has 3 repeats: 4 x 3.4 x 3
- Calculate. So there are 12 points on the graph.4 x 3 = 12
- Write the answer. 12
Check. Every repeat is a separate point. ✓
Method. Look at the pattern.
- Look. The points rise steadily from left to right.rise steadily
- Conclude. So a straight line of best fit can be drawn to show the trend.straight line
- Write the answer. Accept any sentence that says the points show a roughly straight-line trend, so a line of best fit can be drawn, showing a positive correlation.
Check. A line of best fit follows the trend. ✓
Method. Think about a single point.
- Think. One point above the line may be an anomaly, or a mistake in measuring.anomaly
- Conclude. The pupil should check that reading before claiming an exact trend.check
- Write the answer. Accept any sentence that says the pupil should check the reading at 30 cm for a mistake, and not assume the trend is exact from one point.
Check. One point does not prove a pattern. ✓
Evaluating evidence and models
Uncertainty is the range within which the true value is likely to lie. A reading made to the nearest millimetre has an uncertainty of about half a millimetre either side. Accuracy is how close a result is to the true value. Precision is how close repeated results are to each other.
A model is a simple picture that explains and predicts. The particle model explains gases, liquids and solids. Models are changed when new evidence shows they are incomplete. A wave model explains how vibrations carry energy, for example in sound.
Key ideas
- Uncertainty is the range in which the true value is likely to be.
- Accuracy is closeness to the true value; precision is closeness of repeats.
- A good evaluation names limits of the evidence and suggests improvements.
- A model explains and predicts, and is changed when new evidence arrives.
Method. Take the uncertainty away from the reading.
- Subtract. The reading is 12 mm and the uncertainty is 0.5 mm.12 - 0.5
- Calculate. The smallest possible value is 11.5 mm.12 - 0.5 = 11.5
- Write the answer. 11.5 mm
Check. 11.5 + 0.5 = 12. ✓
Method. Match the explanation to a model.
- Think. A gas is made of moving particles that spread out and fill the space.moving particles
- Name it. This is explained by the particle model.particle model
- Write the answer. particle model
Check. The particle model explains states of matter. ✓
Method. Think about what could change the result.
- Think. Anything not controlled may change the distance.not controlled
- Name one. The starting push or the surface could change the result.starting push
- Write the answer. Accept any one: the surface, the starting push, or only three repeats.
Check. A limit makes the evidence less certain. ✓
Watch out
Watch out: an evaluation is not just “it was good” or “it was bad”. Name a specific limit, and say how to improve it.
Exam tip
Exam tip. In an evaluation, name one limit, say what effect it has on the result, and give one improvement.
Try it (with your teacher, or a grown-up at home). Choose one experiment from this chapter and write three lines: one limit of the evidence, one anomaly you would check, and one improvement. Do not carry out any new heating or chemical test.
Exercise 1E Evaluating evidence and models
Method. Recall the word.
- Recall. The range in which the true value is likely to lie is the uncertainty.uncertainty
- Write the answer. uncertainty
Check. Uncertainty is shown as plus or minus. ✓
Method. Half the smallest step.
- Think. The smallest step is 1 mm, so the reading is within half of that either side.half of 1 mm
- Calculate. The uncertainty is 0.5 mm.1 / 2 = 0.5
- Write the answer. 0.5
Check. A reading of 12 mm lies between 11.5 and 12.5 mm. ✓
Method. Take the uncertainty away from the reading.
- Subtract. Take 0.5 mm from 12 mm.12 - 0.5
- Calculate. The smallest possible value is 11.5 mm.12 - 0.5 = 11.5
- Write the answer. 11.5
Check. 11.5 + 0.5 = 12. ✓
Method. Recall the difference.
- Recall. Closeness to the true value is accuracy.accuracy
- Write the answer. accuracy
Check. Precision is about repeats agreeing. ✓
Method. Recall the difference.
- Recall. Closeness of repeated readings to each other is precision.precision
- Write the answer. precision
Check. Repeats close together show good precision. ✓
Method. Think about what models are.
- Think. A model is a simplified picture that explains and predicts; it is not a perfect copy of reality.simplified
- Decide. So calling it the true picture is not a good statement; the answer is no.no
- Write the answer. no
Check. Models can be improved when new evidence arrives. ✓
Method. Recall how science works.
- Recall. Scientists change models when new evidence does not fit them.does not fit
- Decide. So the statement is true, and the answer is yes.yes
- Write the answer. yes
Check. This is how scientific models improve. ✓
Method. Match the explanation to a model.
- Think. A vibration passing along is a wave, and sound is explained by the wave model.wave
- Name it. So the model is the wave model.wave model
- Write the answer. wave model
Check. Sound needs a material to travel through. ✓
Method. Think about the effect of removing readings.
- Think. Removing readings without a reason can push the results towards the answer one hopes for.towards the answer
- Name it. This is bias.bias
- Write the answer. bias
Check. Every removed reading must be explained. ✓
Method. Name a limit, then an improvement.
- Limit. The surface of the ramp may not have been the same each time.surface
- Improve. Use the same surface and check it before each run.same surface
- Write the answer. Accept any limit with an improvement, for example the surface was not checked; use the same surface.
Check. An improvement must address the named limit. ✓
Method. Think about what models do.
- Think. A model explains and predicts, even though it is simple.simple
- Conclude. So a model can be useful and still be changed later.changed later
- Write the answer. Accept any sentence that says a model helps to explain and predict, even when it is simplified and may later be changed.
Check. Usefulness does not require perfection. ✓
Method. Separate precision from accuracy.
- Think. Close repeats show precision, not closeness to the true value.precision
- Conclude. Accuracy needs the true value, so repeats alone are not enough.true value
- Write the answer. Accept any sentence that says close repeats show precision, but accuracy needs the result to be close to the true value, which repeats alone cannot show.
Check. Precise results can still be inaccurate. ✓
Chapter summary
| Skill | Method |
|---|---|
| Fair test | Change only the independent variable; measure the dependent; keep control variables the same. |
| Risk assessment | Hazard (what could harm), risk (chance and seriousness), control measure (reduces it). |
| Mean | Total of repeat readings divided by the number of readings. |
| Anomaly | A reading that does not fit the pattern: check it and state any removal. |
| Graphs | Bar chart for groups; scatter graph for two numbers; correlation is positive, negative or none. |
| Uncertainty and models | Uncertainty is a range; models explain and predict, and change with evidence. |
Can you…?
- I can name the independent, dependent and control variables in a fair test
- I can name the hazard, risk and a control measure for an activity
- I can work out the mean of repeat readings, and spot an anomaly
- I can choose a suitable table or graph and describe the pattern
- I can evaluate evidence, uncertainty and the limits of a model
Key terms
- independent variable
- the variable that is changed on purpose
- dependent variable
- the variable that is measured to see the effect
- control variable
- a variable that is kept the same to make a test fair
- hazard
- something that could cause harm
- risk
- the chance that a hazard causes harm, and how serious it could be
- mean
- the total of the readings divided by the number of readings
- anomaly
- a reading that does not fit the pattern of the others
- correlation
- a pattern showing how two variables change together: positive, negative or none
- uncertainty
- the range within which the true value is likely to lie
Exercise 1Z Check-up
Method. Recall the definition.
- Recall. The independent variable is the variable changed on purpose.changed on purpose
- Write the answer. the variable changed on purpose
Check. It is set before the measurement. ✓
Method. Recall the words.
- Recall. An action that reduces a risk is a control measure.control measure
- Write the answer. control measure
Check. Control measures are in the risk assessment. ✓
Method. Add, then divide by 3.
- Add. 60 + 64 + 62 = 186.186
- Divide. Divide 186 by 3.186 / 3 = 62
- Write the answer. 62
Check. 62 x 3 = 186. ✓
Method. Recall the word.
- Recall. A reading that does not fit the pattern is an anomaly.anomaly
- Write the answer. anomaly
Check. It must be checked and explained. ✓
Method. Count the digits after the point.
- Count. A reading to 0.1 g has one digit after the point.one digit
- Write. So it has 1 decimal place.1
- Write the answer. 1
Check. 0.1 has one decimal place. ✓
Method. Recall the graph.
- Recall. Two numerical variables are shown on a scatter graph.scatter graph
- Write the answer. scatter graph
Check. Each point shows one pair of values. ✓
Method. Recall the word.
- Recall. When y falls as x rises, the correlation is negative.negative
- Write the answer. negative
Check. Positive is when y rises. ✓
Method. Divide the growth by the time.
- Divide. Divide 20 cm by 5 weeks.20 / 5
- Calculate. The rate is 4 cm per week.20 / 5 = 4
- Write the answer. 4
Check. 4 x 5 = 20. ✓
Method. Think about what must not change.
- Think. Anything that must stay the same is a control variable.stay the same
- Name one. The car, the surface or the starting point must be kept the same.the car
- Write the answer. Accept any one: the car, the surface, or the starting point.
Check. Only the height should change. ✓
Method. Think about reliability.
- Think. A limit shows how far the evidence can be trusted.trusted
- Conclude. So naming limits shows how reliable the conclusion is.reliable
- Write the answer. Accept any sentence that says the limits show how reliable the conclusion is, and what might need improving.
Check. Honest limits make a better evaluation. ✓
Total 15 marks. Allow about 15 minutes.
Exercise 1X Practice test questions
Method. Find the variable changed on purpose.
- Find it. The mass of the car is changed on purpose.mass of the car
- Write the answer. mass of the car
Check. Speed is the dependent variable. ✓
Method. Add, then divide by 3.
- Add. 10 + 12 + 14 = 36.36
- Divide. Divide 36 by 3.36 / 3 = 12
- Write the answer. 12
Check. 12 x 3 = 36. ✓
Method. Name the hazard, then a control.
- Hazard. The hot surface can burn the skin.hot surface
- Control. Staying a safe distance from the plate reduces the risk.safe distance
- Write the answer. Accept any sensible pair, for example hot surface, and stay a safe distance.
Check. The control reduces the risk of burns. ✓
Method. Add the uncertainty to the reading.
- Add. The uncertainty is 0.5 mm, so add it to 25 mm.25 + 0.5
- Calculate. The largest possible value is 25.5 mm.25 + 0.5 = 25.5
- Write the answer. 25.5
Check. 25.5 - 0.5 = 25. ✓
Method. Add, then divide by 3.
- Add. 0.40 + 0.44 + 0.42 = 1.26.1.26
- Divide. Divide 1.26 by 3.1.26 / 3 = 0.42
- Write the answer. 0.42
Check. 0.42 x 3 = 1.26. ✓
Method. Look at the data type.
- Look. Each sport is a category, so the data are grouped.category
- Name it. Groups are shown in a bar chart.bar chart
- Write the answer. bar chart
Check. Bars show each sport separately. ✓
Method. Recall the pattern.
- Recall. When y falls as x rises, the correlation is negative.negative
- Write the answer. negative
Check. Positive would rise from left to right. ✓
Method. Think about bias.
- Think. Removing a result can change the mean and the conclusion.change the conclusion
- Conclude. So the reason must be stated, so others can check the decision.stated
- Write the answer. Accept any sentence that says removing a result without a reason can bias the conclusion, so the reason must be stated.
Check. A stated reason lets others check the result. ✓
Method. Match the explanation to a model.
- Think. Moving particles hitting the walls explain the pressure.hitting the walls
- Name it. This is explained by the particle model.particle model
- Write the answer. particle model
Check. The particle model explains gases. ✓
Method. Think about the measuring tool and the repeats.
- Think. A finer scale gives finer readings; more repeats show the spread.finer
- Name one. Use a ruler read to the nearest millimetre, or take more repeats.nearest millimetre
- Write the answer. Accept any one: use a more precise tool, or take more repeats.
Check. Precision depends on the scale and the repeats. ✓