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- Working Scientifically
Working Scientifically: Variables, Measurement and Evidence
Grade 9, Grade 6Lesson 1 of 1 in Integrated Science for Ages 11 to 12 Course
What you will learn
- Follow the lab rules, use common equipment such as the Bunsen burner safely, read hazard symbols on chemical labels and plan how to lower the risk of harm before a practical starts.
- Follow lab rules and use equipment safelyExplain why lab rules exist, wear the right protection, and handle chemicals, glassware and heat safely, including lighting and using a Bunsen burner.
- Read hazard symbols and plan to reduce riskTell a hazard from a risk, recognize the nine GHS hazard pictograms, read a chemical label and write a simple risk assessment with specific control measures.
- Follow lab rules and use equipment safely
- Use SI units and their prefixes, choose a measuring instrument that suits the job, and read its scale correctly so every measurement is recorded with the right value and unit.
- Use SI units and prefixesWrite every measurement as a number with a unit, use the SI units scientists share, and convert between units with prefixes such as kilo, centi, milli and micro.
- Choose a suitable measuring instrumentMatch the instrument to the quantity being measured and to the size of the measurement, using its range and resolution to pick the one that gives useful readings.
- Read scales and record measurementsWork out what each scale division is worth, read scales at eye level, read the meniscus, zero instruments before use and write each reading to the resolution of the instrument.
- Use SI units and prefixes
- Turn an observation into a testable question, a hypothesis and a prediction, identify the variables, and plan a fair, valid method with a sensible range of values and enough repeats.
- Ask testable questions and write hypotheses and predictionsStart from an observation, write a question that an investigation can answer, choose the right type of enquiry, and tell a hypothesis apart from a prediction.
- Identify independent, dependent and control variablesName the variable that is changed, the one that is measured and the ones kept the same, describe each as a measurable quantity, and tell a control variable from a control group.
- Plan a fair and valid methodChoose the range and interval of the independent variable, decide how many repeats to take, and write clear, safe steps that someone else could follow.
- Ask testable questions and write hypotheses and predictions
- Record observations and measurements in clear tables, calculate means, choose and draw the right kind of graph, and use lines of best fit to describe patterns and make predictions.
- Record results in tables and calculate meansTell the main kinds of data apart, set out a results table with headings and units, and calculate a mean from repeat readings.
- Choose and draw the right graphPick a bar chart, line graph or scatter graph to suit the variables, then draw it with labeled axes, an even scale and accurately plotted points.
- Draw lines of best fit and describe patternsDraw a straight line or smooth curve of best fit, describe the pattern in words with data, and use the line to make predictions inside and outside the measured range.
- Record results in tables and calculate means
- Explain accuracy, precision, repeatability and reproducibility, recognize random and systematic errors, and deal correctly with anomalous results.
- Explain accuracy, precision, repeatability and reproducibilityUse the words accuracy, precision, resolution, repeatable and reproducible correctly, and judge data sets with them.
- Spot errors and anomalous resultsTell random errors from systematic errors, find and handle anomalous results, and give a simple estimate of how uncertain a mean is.
- Explain accuracy, precision, repeatability and reproducibility
- Write conclusions that answer the question with evidence and scientific reasoning, evaluate how far the results can be trusted and how the method could improve, and judge scientific claims and sources.
- Write a conclusion supported by evidenceAnswer the investigation question with a claim, back it with data and explain it with scientific ideas, keeping within what the evidence can show.
- Evaluate an investigation and suggest improvementsJudge how far the results can be trusted, identify the main weaknesses of the method, and suggest specific improvements with reasons.
- Judge scientific claims and sourcesDecide how far to trust a claim by checking its evidence and its source, and explain how peer review and new evidence shape scientific ideas.
- Write a conclusion supported by evidence
Working Scientifically study guide
1Work safely in the science lab
Glass, chemicals and heat need careful handling. Safe work begins before equipment is switched on: clear the bench, read labels and identify what could cause harm. Learn how protective equipment, correct burner use and specific control measures protect everyone nearby.
1.1 Use lab equipment safely
A lab has glass, chemicals, heat and electrical equipment. Safe habits protect you and the people nearby.
Get ready
Enter when the teacher says to. Clear bags and stools from walkways. Tie back long hair and tuck in loose clothing. Wear safety goggles for work with chemicals, heating or glass. Keep them on until everyone has finished. A splash can travel from another bench. Use gloves or a lab coat when required.
Find the eyewash, fire blanket, fire extinguisher, shut-off switches and first-aid kit. Report spills, accidents and broken equipment at once. If chemicals reach skin or eyes, rinse with plenty of running water and tell the teacher immediately.
Handle materials
Never eat, drink or taste anything in the lab. Read each chemical label. Take the amount needed and leave unused chemicals out of the stock bottle. Returning them could contaminate its contents. Smell a chemical only when instructed: gently waft vapor toward your nose. Use the waste container provided.
Check glass for chips and cracks. Keep it back from bench edges. Report broken glass; leave the cleanup to the teacher. Hot glass looks like cold glass, so allow heated glass to cool. Keep water away from electrical equipment. Use the low-voltage supply provided and switch off before changing a circuit.
Light and use a Bunsen burner
The barrel is the upright tube. Gas enters through the hose near its base. Turning the collar opens or closes the air hole.
- Put the burner on a heat-resistant mat and clear nearby paper.
- Close the air hole.
- Light the splint or lighter before turning on the gas.
- Turn on the gas and bring the lit source just above the barrel.
Having a flame ready prevents unburned gas from collecting. The closed air hole gives a visible yellow safety flame. Use it while the burner is waiting. Half-opening the hole gives a blue heating flame. Fully opening it gives a noisy blue roaring flame. Its hottest part is just above the pale inner cone. Blue flames are hard to see, so return to yellow when heating stops. Turn off the gas at the tap when finished.
Heat a test tube
Stand while heating so you can move away quickly. Put liquid in only about one-third of the tube. Hold it at an angle with a test-tube holder. Point its opening away from everyone. Move it gently through the flame so one spot does not overheat and spit. Use tongs for hot objects.
At the end, turn off gas and electricity. Let equipment cool, clean the bench and wash your hands.
Key Takeaways
- Wear goggles until everyone has finished practical work.
- Read labels and use the correct waste container.
- Light the flame source before turning on the gas.
- Use yellow for waiting and blue for heating.
- Point heated test tubes away from everyone.
- Report accidents and broken glass immediately.
1.2 Read labels and reduce risk
A hazard can cause harm. A risk includes how likely that harm is and how serious it could be. A hot beaker is a hazard; touching it could cause a burn.
Recognize the nine symbols
GHS hazard pictograms have black pictures on white backgrounds inside red diamonds. GHS is an international system for chemical labels. Learn the picture and its meaning together.
| Picture | Hazard it can show |
|---|---|
| Flame | Catches fire easily |
| Flame over a circle | Oxidizer: makes other materials burn more fiercely |
| Exploding bomb | Explosive or able to react violently on its own |
| Gas cylinder | Gas under pressure |
| Liquid damaging a hand and metal | Corrosion: severe skin burns, serious eye damage or damage to metals |
| Skull and crossbones | Serious poisoning or death from small amounts |
| Exclamation mark | Harmful or irritating effects, such as eye or skin irritation |
| Person with a marked chest | Serious health effects, such as organ damage, cancer or breathing allergies |
| Dead tree and fish | Harm to life in water |
The marked-chest symbol also covers lung damage when a liquid enters the airways. Some serious effects can follow one exposure; others develop over time. A symbol identifies a hazard type. The label explains which hazards apply.
Read the whole label
Look for the product name, pictograms, supplier and signal word. “Danger” marks more severe hazards; “Warning” marks less severe ones. Hazard statements, or H statements, describe harm. Precautionary statements, or P statements, explain protective actions. A Safety Data Sheet, or SDS, has fuller details in 16 sections, including first aid, storage and disposal.
Read the label on the bottle you will use. Different concentrations can have different hazards. Concentrated acid may be corrosive, while a much more dilute solution may be irritating. A substance without a pictogram can still harm you: hot water scalds.
Make a risk assessment
Before starting, list the hazards, possible harms and controls. Include what to do if something goes wrong.
For heating 50 mL of water, one row could be:
| Hazard | What could happen | Control measure |
|---|---|---|
| Hot beaker | A hand is burned when moving it | Use tongs and leave it to cool |
Other rows would cover the flame, hot water and breakable glass. “Be careful” does not say what action prevents harm.
First remove or replace a hazard where possible. A water bath can replace a flame. A less hazardous chemical or lower concentration can reduce the hazard. Smaller amounts, safe procedures and suitable equipment lower risk. Goggles and gloves provide a final layer of protection.
Protect living things too. Handle animals gently and return them where found. Keep chemical waste in its proper container, away from drains. Wash your hands after handling soil, plants or microorganisms.
Key Takeaways
- A hazard can cause harm; risk includes likelihood and seriousness.
- Read the actual bottle’s symbols and statements.
- An oxidizer can make a fire burn more fiercely.
- Match each hazard with a specific control and emergency response.
- Remove or reduce hazards before relying on protective clothing.
2Measure with suitable instruments and SI units
A measurement needs both a value and a unit. Choosing an instrument also means checking what it can measure and how much detail it shows. Follow a measurement from its unit and scale to a clearly recorded result, including the checks that prevent common reading errors.
2.1 Write and convert scientific units
A measurement needs a number and a unit. “12 cm” gives a length. The number “12” alone leaves its meaning unclear. Length, time and mass are examples of quantities: things we measure.
Share the same units
Scientists use the International System of Units, or SI. Common base units are meter (m) for length, kilogram (kg) for mass, second (s) for time, kelvin (K) for temperature and ampere (A) for electric current. The mole and candela complete the seven base units.
School thermometers usually show degrees Celsius (°C). A change of 1 °C has the same size as a change of 1 K. Their zero points differ: 0 °C equals 273.15 K.
Some units combine base units. Area uses m², volume uses m³, and speed uses m/s. Density can use kg/m³ or g/cm³. Force uses newtons (N), and energy uses joules (J). Liters and milliliters are accepted for use with SI:
- 1 L = 1000 mL.
- 1 mL = 1 cm³.
- 1 L = 1000 cm³.
Use prefixes
A prefix changes a unit's size.
| Prefix | Symbol | Size compared with the unit |
|---|---|---|
| kilo | k | 1000 times |
| centi | c | One hundredth |
| milli | m | One thousandth |
| micro | µ | One millionth |
So 1 m = 100 cm = 1000 mm, and 1 mm = 1000 µm. Also, 1 kg = 1000 g and 1 g = 1000 mg. Mega means one million times; nano means one billionth.
Convert one step at a time
Smaller units need a larger number for the same amount. To change 2.5 kg to grams, multiply by 1000: 2.5 × 1000 = 2500 g. To change 450 mL to liters, divide by 1000: 450 ÷ 1000 = 0.45 L. To change 35 mm to centimeters, divide by 10: 35 ÷ 10 = 3.5 cm.
Before adding measurements, put them in the same unit. For 1.2 m plus 30 cm, first change 1.2 m to 120 cm. Then 120 + 30 = 150 cm.
Keep symbols clear
Write 5 kg, with a space before the unit. Unit symbols have no plural ending or final period. Use g and s, not “gm” and “sec”. Capitals matter: m means meter, while M means mega. Choose units that give useful numbers, such as grams for a paper clip and kilometers between towns.
Mass is the amount of matter, measured with a balance in g or kg. Weight is gravity's pulling force, measured with a newton meter or spring scale in N. On Earth, a mass of 1 kg has a weight of about 9.8 N.
Key Takeaways
- Give every measurement a number and unit.
- Smaller unit → larger number for the same amount.
- Convert to the same unit before adding or comparing.
- Unit symbols are case-sensitive and have no plural ending.
- Measure mass in g or kg and weight in N.
2.2 Choose a measuring instrument
Choose an instrument by asking three questions: What quantity am I measuring? Will the value fit its range? Can it show the differences I need?
Match instrument and quantity
| Quantity | Useful instrument |
|---|---|
| Length | Ruler, meter stick or tape measure |
| Mass | Digital balance |
| Liquid volume | Graduated cylinder, syringe or pipette |
| Temperature | Thermometer or temperature probe |
| Time | Stopwatch or electronic timer |
| Force | Newton meter, also called a spring scale |
| Angle | Protractor |
A graduated cylinder is also called a measuring cylinder. Beakers and flasks have rough volume marks. Use them to hold liquids; choose a cylinder, syringe or pipette to measure the volume.
Check range and resolution
The range runs from the lowest value to the highest value the instrument measures. A 100 mL cylinder cannot hold a 250 mL measurement in one go.
The resolution is the smallest change the instrument shows. A ruler with millimeter marks shows changes of 1 mm. A balance displaying 12.47 g has a resolution of 0.01 g. Each change in its last digit represents 0.01 g.
Suppose you need 25 mL of water. A 50 mL cylinder with 1 mL marks holds it and gives useful detail. A 250 mL cylinder with 2 mL marks holds it too, but its scale is coarser. Pick the smallest suitable cylinder that holds the whole volume.
A seedling grows about 2 mm in one day. Centimeter marks are too far apart to show that small change clearly. A millimeter ruler is a better match. The biggest instrument is not automatically the best choice.
Think about how readings are taken
A toy car takes about 1.5 s to travel down a ramp. A hand-operated stopwatch may show hundredths of a second. But you still need to see the car move and press the button. Human reaction delays are about 0.2 s and vary between trials.
Starting late makes the recorded interval shorter. Stopping late makes it longer. These delays rarely match exactly, so times can vary in either direction. A light gate detects the car electronically and removes the operator's reaction time. A longer journey also makes a small delay matter less compared with the total time.
A data logger records readings from sensors automatically. It can collect rapid measurements or monitor temperature overnight. Sensors still need correct setup and checks. Extra display digits cannot fix a poorly adjusted instrument.
Key Takeaways
- Match the instrument to the quantity.
- Choose a range that covers the whole measurement.
- Choose resolution fine enough to show the change.
- Electronic sensors can remove reaction delays from timing.
2.3 Read a scale and record its value
A suitable instrument only helps when you read it correctly. Check its scale and zero before taking a measurement.
Find the value of one division
Find two numbered marks. Subtract the smaller value from the larger one. Divide that difference by the number of equal spaces between them.
For marks at 10 mL and 20 mL with five equal spaces:
- The difference is 20 − 10 = 10 mL.
- Each space is 10 ÷ 5 = 2 mL.
- Three spaces above 10 mL gives 10 + 6 = 16 mL.
Count spaces, not the lines that bound them. Six lines make five spaces.
Put your eye in the right place
Look straight at a scale with your eye level with the reading. From above or below, the pointer seems to shift against the marks. This is parallax error.
Water curves at its surface inside a narrow tube. This curve is the meniscus. Stand a graduated cylinder on a flat bench. Bring your eye level with the water and read the bottom of the curve. If marks at 20 and 30 mL contain ten spaces, each space is 1 mL. A bottom three spaces above 20 mL means 23 mL.
For temperature, immerse the thermometer bulb without touching the container's bottom or sides. Stir gently and wait for a steady reading. Read while the bulb is still in the liquid. Lifting it out makes it start measuring the air.
Check the starting point
Line up a ruler's zero mark with the object's end. The ruler's physical edge may have a blank margin or be worn. Keep the ruler flat along the object. For a curved line, lay string along it and then measure the string.
An instrument should read zero when measuring nothing. A balance can include the container's mass unless you tare it:
- Place the empty container on the balance.
- Press “tare” or “zero”.
- Add the material and read its mass.
Hang a newton meter vertically and adjust it to 0 N before adding a load. A wrong starting reading is a zero error.
Record what the instrument shows
Write a balance display of 12.40 g as 12.40 g. The final zero shows that it reads in 0.01 g steps. A millimeter ruler could give 45 mm, or 4.5 cm. It cannot justify writing 4.5372 cm.
Keep readings of the same quantity in the same units and with the same decimal places. Put units in a results-table heading so each entry has a clear meaning.
Key Takeaways
- Find a division by dividing the marked difference by the spaces.
- Read scales straight on at eye level.
- Read the bottom of a water meniscus.
- Tare the empty container before adding material.
- Record only the detail the instrument can show.
3Plan a scientific investigation
A useful investigation starts with a question evidence can answer. An explanation leads to a prediction, and the plan decides what to change, measure and keep fixed. Clear steps, a safe range and repeat readings let another person carry out the same test and compare results.
3.1 Turn a question into an investigation
An investigation begins with something noticed. Sugar seems to disappear faster in hot tea than iced tea. That observation can lead to a question we can answer with evidence.
Make the question testable
A testable question can be answered by observations or measurements. “Is hot water better?” is too vague. “How does water temperature affect the time 5 g of sugar takes to dissolve?” says what to change and measure.
Not every question needs a fair test. “Which rocks are igneous?” can be answered by observing and classifying. A question about which drink tastes nicer asks for a personal preference, not a scientific explanation.
Explain, then predict
A hypothesis is an explanation we can test. It gives a scientific reason. For example: “Sugar dissolves faster in hotter water because the water particles move faster and hit the sugar more often.”
A prediction states an expected result of a particular test. For example: “Raising the water temperature from 20 °C to 60 °C will reduce the time for 5 g of sugar to dissolve.” This names the variables and the direction of change. It does not need an exact time to be checkable.
You can combine the two: “If the water is hotter, then the dissolving time will decrease, because faster-moving water particles hit the sugar more often.” The expected change is the prediction. The explanation supplies the reasoning.
An aim states what you intend to find out: “To find how water temperature affects dissolving time.” Keep the original prediction after collecting results. Results that disagree with it are useful evidence. They show that the explanation needs checking or changing. One investigation cannot prove it true everywhere.
Choose how to collect evidence
| Type of inquiry | What you do | Example question |
|---|---|---|
| Fair testing | Change one factor and keep other relevant conditions the same | Does ramp height affect how far a toy car rolls? |
| Pattern seeking | Look for links across people or samples | Do people with longer legs jump farther? |
| Observing over time | Watch or measure change | How does a seedling grow over three weeks? |
| Identifying and classifying | Use features to name or group things | Which rocks are igneous? |
| Secondary research | Use evidence collected by others | How did scientists link germs to disease? |
| Modeling | Use a model or simulation | How might a change affect a system too large to test directly? |
Choose the approach that answers the question. You cannot control every difference between people, so a study of leg length and jumping is pattern seeking.
Key Takeaways
- A testable question can be answered with evidence.
- A hypothesis explains; a prediction states an expected result.
- Keep the original prediction and compare it with the results.
- Choose an inquiry method that fits the question.
3.2 Name what changes, what is measured and what stays fixed
A variable is a factor that can change. Naming variables clearly makes a plan easier to follow and a comparison fairer.
Identify the three roles
In a fair test, the independent variable is changed on purpose. The dependent variable is measured to find its effect. Control variables are other factors that could affect the result. Keep these the same.
For the question “How does water temperature affect sugar's dissolving time?”:
| Role | Exact variable |
|---|---|
| Independent | Water temperature in °C |
| Dependent | Time until the sugar dissolves in s |
| Controls | Sugar mass, type and grain size; water volume; beaker size; stirring rate |
Suppose hot water is stirred but cool water is not. A shorter time could result from heat, stirring or both. Keeping stirring the same lets the comparison test temperature.
Name measurable quantities. “The water” is unclear: its temperature and volume are different variables. Write “water volume in mL”. The dependent variable is measured, so it cannot also be held fixed to hide any change.
Recognize variable types
Categorical variables have names as values, such as soil type or light color. Discrete variables are counts in whole numbers, such as how many seeds sprout. Continuous variables are measured and can take values throughout a range, such as length or temperature.
A temperature can fall between 20 and 21 °C. A count of sprouted seeds cannot fall between 8 and 9 seeds. This difference helps decide how to display data. Categories use separate bars; continuous changes can use a line graph.
Set up a control group
A control group provides a comparison without the factor being tested. To test fertilizer, give fertilizer to one set of plants and none to the other. Use matching plant types, light, water, soil and pot sizes.
The no-fertilizer plants are the control group. The shared water volume is a control variable. These names describe different parts of the investigation.
Living things differ even when treated alike. Use many plants or animals so one unusual individual has less influence. Some conditions, such as outdoor weather, are hard to control. Record them and consider how they could affect the pattern. When conditions cannot be controlled, pattern seeking may fit the question better than fair testing.
Key Takeaways
- Change the independent variable and measure the dependent variable.
- Name each control variable and how it stays the same.
- Categories are labels; discrete data are counts; continuous data are measurements.
- A control group provides a comparison without the tested factor.
- Use many individuals when investigating living things.
3.3 Write a method someone else can follow
A complete plan includes the question, hypothesis, prediction, variables, equipment, steps, blank results table and risk assessment.
Choose values and repeats
The range runs from the lowest to the highest value tested. The interval is the gap between neighboring test values. Temperatures of 20, 30, 40, 50 and 60 °C give a range of 20–60 °C and an interval of 10 °C.
For a continuous independent variable, choose at least five values to reveal the pattern. Keep the range safe and practical. Take at least three repeat measurements at each value. Repeats show how much the readings vary and help reveal unusual results. They also allow a mean. With living things, include many individuals: 20 seeds give more useful evidence than two.
A short trial run checks that the plan works. It can reveal that a process takes too long or that the scale is too coarse. Adjust the plan before collecting the main results.
Make the steps exact
Use numbered steps in the order they happen. Begin with action words such as “Measure”, “Add” and “Record”. Give amounts, equipment and a clear stopping point.
A sugar investigation could use these steps:
- Bring water to 20 °C in a water bath.
- Measure 100 mL into a 250 mL beaker. Check its temperature.
- Measure 5.0 g of granulated sugar with a balance.
- Add the sugar, start the timer and stir steadily.
- Stop when no sugar crystals remain visible. Record the time.
- Carry out three trials at each temperature: 20, 30, 40, 50 and 60 °C.
Use fresh water and sugar for each trial. Keep beaker size, sugar type and stirring rate the same. Five temperatures with three trials each give 15 measured times. “Add some sugar” would leave its mass uncertain and make the method hard to repeat.
Check validity and care
A valid investigation answers its intended question. It measures the right outcome and keeps other relevant factors controlled. Times could agree closely even if water volume changed at every temperature. That would still be an unfair comparison.
A clear method makes repetition possible. Similar results from someone else following it provide evidence of reproducibility.
Include risks before practical work begins. Investigations must not harm living things or cause distress. Get people's agreement before surveys and keep their answers private. Follow the teacher's rules about organisms and materials.
Key Takeaways
- Choose at least five values for a continuous independent variable.
- Take at least three readings at each value.
- Give exact amounts, equipment and a clear endpoint.
- A valid method answers the question through a fair comparison.
- Plan for safety, consent and care for living things.
4Record and present data
Raw readings become easier to understand when they are organized. Tables keep measurements together; means summarize repeats; graphs reveal patterns. The kind of data determines the graph, and a best-fit line helps describe the trend and estimate values between measurements.
4.1 Build a results table and find a mean
Record results as soon as you collect them. A prepared table keeps the changed values and repeat measurements together.
Know what kind of data you have
Qualitative data are descriptions, such as “The solution turned blue.” Quantitative data are measurements or counts, such as “The temperature rose by 12 °C” or “18 seeds sprouted.” A count is quantitative even without a measurement unit.
Primary data are collected by you or your group. Secondary data come from someone else, such as another class or a science database. These labels describe where data came from. A website's temperature measurements are both secondary and quantitative.
Put units in the headings
Place the independent variable first, with its values in order. Follow it with the dependent variable's repeats and mean. Each measurement heading names the quantity and unit. “Temperature (°C)” and “Temperature / °C” both work. The entries then need numbers only.
Here are dissolving times for 5 g of sugar:
| Temperature (°C) | Trial 1 (s) | Trial 2 (s) | Trial 3 (s) | Mean time (s) |
|---|---|---|---|---|
| 20 | 98 | 102 | 100 | 100 |
| 30 | 71 | 74 | 71 | 72 |
| 40 | 52 | 48 | 50 | 50 |
| 50 | 37 | 35 | 36 | 36 |
| 60 | 30 | 29 | 31 | 30 |
The shared quantity for the trial columns is time to dissolve. A table of observations can instead have headings such as “Color before”, “Color after” and “Bubbles observed”. Use short, exact descriptions.
Calculate the mean
The mean is the total divided by the number of readings. At 40 °C:
- Add the times: 52 + 48 + 50 = 150 s.
- Count the readings: three.
- Divide: 150 ÷ 3 = 50 s.
Use the number of readings included, not the number originally planned. Keep original readings in the table even when a confirmed mistake is left out of a mean.
The range of repeats is largest minus smallest. At 20 °C, 102 − 98 = 4 s. A small range shows close agreement. A mean alone does not show whether readings were close together.
Record each column with consistent decimal places. A thermometer reading in tenths gives 12.0, 15.5 and 18.0 °C. Keep means to the same decimal places as the readings. A calculator's extra digits do not add measurement detail.
Key Takeaways
- Descriptions are qualitative; measurements and counts are quantitative.
- Primary data are yours; secondary data came from others.
- Put the independent variable first and units in headings.
- Find a mean by adding readings and dividing by their count.
- Keep original readings and report their spread.
4.2 Choose a graph that fits the data
A graph makes a pattern easier to see. First check the kinds of variables, then choose a graph and set up its axes.
Match the graph to the question
| Data | Suitable graph | What it shows |
|---|---|---|
| Categories, such as soil types | Bar chart | Separate comparisons |
| A continuous variable changed in an experiment | Line graph | How a measured result changes |
| Two measured variables for each person or sample | Scatter graph | Whether the variables are linked |
For four soils, 18, 15, 12 and 9 seeds sprout out of 20. Draw separate bars labeled with the soil names. Gaps show that the soils are separate categories. Joining the tops would suggest meaningful values between soil types.
For temperature and dissolving time, both variables are continuous. Plot the results on a line graph. For height and arm span, each person supplies a pair of measurements. Use a scatter graph, with one point per person.
A histogram groups a continuous variable into intervals and shows how often values fall in each. Class heights grouped into equal 5 cm intervals are an example. Its bars touch because the intervals follow on without gaps.
Set up the axes
Put the independent variable on the horizontal x-axis. Put the dependent variable on the vertical y-axis. For sugar, use “Temperature (°C)” and “Mean time to dissolve (s)”. A useful title names both quantities.
Choose equal scale steps that are easy to count: 1, 2, 5 or 10 units per square. Use enough of the page for the points to fill more than half the grid in both directions. A scale of 0, 5, 20, 100 in equally spaced marks is uneven and changes the apparent pattern.
A bar chart's numerical axis starts at zero so bar lengths compare fairly. A line or scatter graph may start above zero if its starting value is clearly numbered.
Plot and check
For the sugar data, a scale from 0 to 60 °C horizontally and 0 to 100 s vertically works. Use 10 °C and 10 s per major division. The first point is at 20 °C and 100 s. The next is at 30 °C and 72 s.
Plot every mean as a small dot or cross. Check each against its table row. The smooth line or curve you add should show the overall pattern; it is not a way to hide misplaced points.
Key Takeaways
- Use separate bars for categories.
- Use a line graph for continuous experimental change.
- Use a scatter graph for paired measurements in pattern seeking.
- Label axes with quantities and units, using equal scale steps.
- Histogram bars touch because their continuous intervals meet.
4.3 Read trends and make estimates
Experimental points rarely form a perfect line. A line of best fit shows their overall trend, using one straight line or a smooth curve.
Draw the overall pattern
Use a ruler when points lie roughly in a straight line. Draw a smooth curve when they bend. Keep roughly equal numbers of ordinary points on either side. Do not join experimental points dot to dot. Small reading differences should not become sharp bends.
A best-fit line need not pass through the first point, last point or origin. Use the origin only when it is a measured or known point that belongs to the pattern. A point far away may be anomalous: check it and repeat that measurement if possible.
Describe the relationship
A positive relationship means both variables increase together. A negative relationship means one decreases as the other increases. No clear trend means there is no clear relationship in the data.
For sugar, write: “As water temperature increases, the mean dissolving time decreases.” Add numbers: “It falls from 100 s at 20 °C to 30 s at 60 °C.” The fall is 28 s between 20 and 30 °C, but only 6 s between 50 and 60 °C. These differences show the curve leveling off.
On a scatter graph, points close to a best-fit line show a stronger correlation than widely spread points. Correlation describes a link. It does not establish its cause.
Test for direct proportion
A spring has these force and extension pairs: 0 N and 0.0 cm; 1 N and 2.0 cm; 2 N and 4.1 cm; 3 N and 5.9 cm; 4 N and 8.0 cm; 5 N and 10.1 cm.
The points lie close to a straight line through the origin. In this tested range, extension is directly proportional to force. Doubling force roughly doubles extension. A straight line that starts above zero would not show direct proportion.
Estimate inside or outside the range
Interpolation estimates between measured values. On the spring's best-fit line, 2.5 N gives about 5.0 cm. Read from 2.5 N up to the line, then across to the extension axis.
Extrapolation estimates beyond the tested range by extending the line. It is less dependable because the pattern may change. Stretching a spring far enough can stop it following the straight-line pattern. An estimate outside the measured range has less support than one between nearby measurements.
Key Takeaways
- A best-fit line shows the overall trend.
- Support a pattern description with values and units.
- Direct proportion gives a straight line through the origin.
- Interpolation stays inside the tested range; extrapolation goes beyond it.
5Judge the quality of data
Agreement between readings is only one sign of quality. Results also need checking against accepted values and results from other people. Learn how to tell random variation from a consistent offset, investigate unexpected readings and describe uncertainty using the spread of repeats.
5.1 Tell accuracy from precision
Readings can agree with one another and still be wrong. Checking data quality means asking both how close they are and what they are close to.
Compare with a reference
The true value is what a perfect measurement would give. We usually cannot know it exactly. Instead, we compare with an accepted value, a value supported by careful measurements.
A reading is accurate when it is close to the true value. A set of readings is precise when they are close to one another. Their range is small. Think of darts: a tight cluster away from the bullseye is precise but misses the target.
Three thermometers measure pure boiling water at standard atmospheric pressure. Its accepted temperature is 100 °C.
| Thermometer | Four readings (°C) | Mean (°C) | Range (°C) |
|---|---|---|---|
| A | 97.9, 98.0, 98.1, 98.0 | 98.0 | 0.2 |
| B | 99.5, 100.5, 99.0, 101.0 | 100.0 | 2.0 |
| C | 99.9, 100.1, 100.0, 100.0 | 100.0 | 0.2 |
A is precise, but its readings are about 2 °C too low. B has an accurate mean, but its readings are more spread out. C combines a small spread with a mean at the accepted value. Taking a mean helped B's random variation average out. It did not correct A's low readings.
Repeat or reproduce
Results are repeatable when the same person gets similar results with the same method and equipment. Results are reproducible when a different person, method or set of equipment gives similar results.
Suppose you measure the same object several times. Similar values show repeatability. A second group gets similar values using its own equipment. That adds evidence of reproducibility and increases confidence in the result.
Keep resolution separate
Resolution describes an instrument: the smallest change it shows. Precision describes a set of readings: how closely they agree. A balance showing hundredths of a gram has fine resolution, but a wrong zero can shift every reading.
The word “reliable” is sometimes used for dependable results. Say exactly what has been checked: close repeats, agreement between groups or closeness to an accepted value. These are different kinds of evidence.
Key Takeaways
- Accuracy means close to the true value.
- Precision means repeated values are close together.
- Repeatability uses the same person, method and equipment.
- Reproducibility checks agreement under changed people, methods or equipment.
- Fine resolution alone does not establish accuracy.
5.2 Check errors and unexpected readings
Measurements have uncertainty: we cannot give a perfectly exact value. A measurement error is a difference from the true value. It can occur even when nobody makes a mistake.
Match the response to the error
| Error type | What it does | What helps |
|---|---|---|
| Random | Makes readings vary unpredictably | Repeats, a mean and a steadier method |
| Systematic | Shifts readings by a fixed amount or direction | Zeroing, checking against a known value or correcting readings |
Reaction delays in timing vary between trials. Judging when the last sugar crystal disappears can also vary. These random effects may make readings too high or too low. Averaging repeats reduces their effect.
A balance reading 0.3 g when empty has a systematic zero error. Every displayed mass is 0.3 g too high. A 5.6 g display needs the correction 5.6 − 0.3 = 5.3 g. A 10.4 g display becomes 10.1 g. Repeating the wrong reading does not remove the added 0.3 g. Reset the zero before measuring again.
Investigate a possible anomaly
An anomalous result, or outlier, does not fit the pattern. It may lie far from other repeats or a best-fit line.
Dissolving times of 52, 74 and 48 s make 74 s worth checking. Look for a cause and repeat the measurement. If a recorded mistake explains it, leave that result out of the mean. Keep it visible in the table, mark it and explain the decision.
For a confirmed mistake at 74 s, the remaining mean is (52 + 48) ÷ 2 = 50 s. Using all three gives 58 s. The choice affects the reported result, so it needs a reason. Disagreeing with a prediction is not a reason to remove a reading. If repeats keep giving the unexpected value, the effect may be real.
Use spread to estimate uncertainty
One simple estimate is half the range of repeats. For 98, 102 and 100 s:
- Mean = 300 ÷ 3 = 100 s.
- Range = 102 − 98 = 4 s.
- Half the range = 4 ÷ 2 = 2 s.
Write the result as 100 ± 2 s. The ± sign reads “plus or minus”. This describes uncertainty estimated from the spread. It does not correct a wrong zero or guarantee where the true value lies.
Key Takeaways
- Repeats and a mean reduce the effect of random errors.
- Check and correct systematic errors; averaging does not remove them.
- Investigate anomalies and keep the original readings.
- Exclude a result caused by a mistake with a recorded reason.
- Half the range gives a simple spread-based uncertainty estimate.
6Draw conclusions and evaluate evidence
Results become useful when they answer a question with evidence and a scientific reason. Judging that answer also means checking the method, explaining improvements and examining claims from others. Strong conclusions show what was found and how far the evidence reaches.
6.1 Write a conclusion from the evidence
A conclusion answers the investigation question. It explains what the results show. A list of equipment or a retelling of the method does not answer that question.
Build claim, evidence and reasoning
Use claim, evidence, reasoning, often shortened to CER.
- The claim answers the question in one sentence.
- The evidence gives specific observations or measurements, with units.
- The reasoning uses scientific ideas to explain why the evidence supports the claim.
For the sugar investigation:
Claim: “Sugar dissolves faster in hotter water.”
Evidence: “The mean time fell from 100 s at 20 °C to 30 s at 60 °C. It decreased at every temperature step.”
Reasoning: “Water particles move faster at higher temperatures. They hit the sugar more often and with more energy, carrying its particles away into the water more quickly.”
The evidence tells us what changed. The reasoning explains the change. “Because the water is hot” names a condition but does not explain its effect.
Compare with the prediction
State whether the results support, partly support or do not support the prediction. Give the evidence that led to that decision. For sugar: “The results support the prediction that higher temperatures reduce dissolving time.”
A result that disagrees with the prediction still answers a scientific question. Keep the original prediction and explain the disagreement. Results support an explanation; one test does not prove it true in every case.
Keep the claim within the investigation's reach. The sugar measurements cover 20–60 °C and one type of sugar. They do not establish times at 90 °C or results for salt. Those questions need further evidence.
Describe observations and links
Evidence can be qualitative. A conclusion can describe a consistent color change or the presence of starch in leaves. Compare the observations between conditions and explain their meaning. Results from other groups or secondary sources can show whether a finding is reproduced.
A correlation is a link between variables. It does not by itself show causation, where one factor produces a change in another. Ice cream sales and sunburn both rise in summer. Hot sunny weather helps explain both; buying ice cream does not cause sunburn.
A fair test controls other relevant factors and gives stronger evidence of cause. A conclusion can also lead to a next question: after testing temperature, you might investigate sugar grain size.
Key Takeaways
- Answer the question with a clear claim.
- Quote specific evidence, including units.
- Use scientific reasoning to explain the evidence.
- Compare the finding with the original prediction.
- Keep claims within the tested conditions and avoid treating correlation as proof of cause.
6.2 Explain how an investigation could improve
An evaluation judges how much confidence to place in a result. It looks at the method and data, then explains useful changes.
Inspect the evidence
Start with the investigation's question. Did the measured outcome answer it? Were control variables kept the same? Then look at the results:
- How close were the repeats?
- Were unusual readings checked?
- Was the instrument's resolution fine enough?
- Were enough values tested over a useful range?
- Did other groups obtain similar results?
- Could random or systematic errors affect the finding?
Use details from the investigation. “The repeats differed by up to 0.3 s” gives more information than “The results were bad.” Close repeats increase confidence, but they cannot rescue an unfair comparison.
Link problem, effect and change
A useful improvement has three connected parts:
- Problem: what went wrong or limited the method.
- Effect: how it could change the results.
- Change: a specific action that tackles it.
For a dissolving investigation: “The water cooled during each trial. Its changing temperature could alter the dissolving time. Keep the beaker in a water bath set to the test temperature.” The water bath addresses temperature control.
For a toy car: “The journey took about 1.5 s and was timed by hand. Different reaction delays spread the repeat times by up to 0.3 s. Use light gates and a data logger to remove the operator's reaction time.” More stopwatch digits would not remove the button-press delay.
“Be more careful” leaves the action unclear. “Use better equipment” leaves its purpose unclear. Name the change and explain the link to the weakness.
Strengthen or extend the test
More repeats help assess variation. More independent-variable values show the pattern in greater detail. If the graph changes quickly between two values, test extra values there.
Check validity too. If water volumes differed between temperatures, measure the same volume each time. Even perfectly matching repeat times would not remove that unfairness.
You can extend a question with a wider safe range or another material. Keep those new results separate from what the original test established. Evaluation feeds the next plan: ask, plan, measure, analyze, conclude, evaluate, then improve the investigation.
Key Takeaways
- Judge the method and data using specific evidence.
- Connect each problem to its effect and a matching change.
- More repeats and more tested values serve different purposes.
- Check fairness as well as agreement between repeats.
6.3 Check a scientific claim
A scientific claim should have evidence that other people can check. Science-sounding words or a person in a lab coat do not provide that evidence.
Ask what supports the claim
An advertisement says, “Students who drink FocusFizz score 30% higher on tests!” Before accepting it, ask:
- How many students took part, and how were they chosen?
- Was there a fair comparison with students drinking water?
- Did both groups take the same tests under the same conditions?
- Who paid for the work, and who benefits from selling the drink?
- Have other investigators found similar results?
Ten drink users with no control group provide weak evidence. Differences in teaching, preparation or other conditions could explain their scores. A larger group helps with variation, but a large, unfair comparison can still mislead.
An anecdote is a personal story, such as “It worked for my cousin.” The story may be true. One case, however, cannot establish a general effect because other factors may explain it.
Check the source
Prefer sources that name their authors and show their evidence. Science organizations, universities, government science agencies and textbooks are useful starting points. Check the date and compare the claim with another source. Trace a news report back to the research it describes when possible.
In peer review, experts in the same field check a scientific report before journal publication. They examine the method, results and conclusions. This can catch errors or weak arguments. It does not guarantee that every finding is correct. Independent testing can strengthen confidence or reveal a problem that reviewers missed.
Let evidence change explanations
Scientific ideas change when new evidence does not fit. Around 1900, one atom model pictured electrons inside a ball of positive charge. Experiments firing particles at thin gold foil showed a tiny central nucleus containing most of the atom's mass. The model changed to fit the evidence.
Pseudoscience sounds scientific but avoids testable claims, ignores opposing evidence or relies on testimonials instead of controlled tests. Compare how a claim is checked, not how impressive it sounds. A good explanation must face evidence that could show it is wrong.
Key Takeaways
- Look for evidence, a useful sample and a fair comparison.
- Check who made or funded a claim.
- One personal story cannot establish a general pattern.
- Peer review adds expert checks; independent testing adds further evidence.
- Scientific explanations can change when new evidence challenges them.
Working Scientifically examples
1Prepare for safe practical work
12 steps
- 1IntroductionStart before the experiment
Before using lab equipment, check the bench, the materials and yourself. A loose sleeve or a blocked walkway can turn a small problem into an accident. Naming each hazard and writing a risk assessment with matching controls lets you stop harm before it happens.
Follow a heating task from preparation to cleanup, then connect the hazards with specific protective actions.
- 2ExplanationProtect everyone nearby
Wear goggles for chemicals, heating and glass. Keep them on until everyone has finished; another group’s splash can reach you.
Tie back hair, secure loose clothing and clear walkways. Know where the eyewash and emergency shut-offs are before you start.
- 3ExampleLight the burner in order
Place the burner on a heat-resistant mat. Close its air hole using the collar. Light the splint or lighter first, then turn on the gas and bring the flame above the barrel.
This order gives the gas a ready flame. Turning on gas while searching for a lighter lets unburned gas collect.
- 4ExplanationChoose the flame for the job
The closed air hole gives a visible yellow safety flame for waiting. Half-opening it gives a blue flame for heating. Fully opening it gives a noisy blue roaring flame.
The hottest region is just above the pale inner cone. Return to yellow when you stop heating: a blue flame is hard to see.
- 5ChallengeCheck a heating setup
A student sits with a nearly full test tube pointed across the bench. What should change before heating?
---reveal---
Stand up. Reduce the liquid to about one-third of the tube and use a holder. Angle the tube away from everyone and move it gently through the flame. These changes allow movement and reduce the risk of hot liquid spitting at people.
- 6TipLeave hot glass time to cool
Hot glass looks like cold glass. Use suitable holders and let heated items cool before handling them. Report cracks or breakage; leave broken-glass cleanup to the teacher.
When work ends, turn off gas and electricity, clean the bench and wash your hands.
- 7ExplanationName the hazard and the harm
A hazard is something that can cause harm. Risk includes how likely harm is and how serious it could be.
For a hot beaker, the hazard is the hot glass. A possible harm is a burned hand. “Use tongs and leave the beaker to cool” names a control that lowers this risk.
- 8ExplanationRead symbols for physical hazards
GHS symbols appear inside red diamonds. A flame warns of flammability; a flame over a circle warns of an oxidizer that can intensify fire. An exploding bomb warns of explosion or violent self-reaction. A gas cylinder warns of gas under pressure.
Corrosion can warn of damage to metal, severe skin burns or serious eye damage.
- 9ExplanationRead symbols for health and the environment
Skull and crossbones warns of severe poisoning from small amounts. An exclamation mark covers harmful or irritating effects. The person with a marked chest warns of serious health effects, such as organ damage or breathing allergies.
The dead tree and fish warns of harm to aquatic life. Read the label’s statements to learn which hazards apply.
- 10ExampleBuild one risk-assessment row
The task is to heat 50 mL of water. For the boiling water, record:
- Hazard: hot water.
- Possible harm: a scald if it splashes or spills.
- Controls: goggles, a stable setup and no leaning over the beaker.
Add separate entries for the flame, hot equipment and glass. Include what to do if something goes wrong.
- 11ChallengeChoose the safer plan
A liquid’s label warns it catches fire easily. A warm water bath can replace a burner. What should the plan say about heating and label reading?
---reveal---
Use the water bath and keep the liquid away from flames. Read the actual bottle’s precautions, including any concentration-specific hazards. Removing the flame addresses the hazard before relying on goggles or gloves.
- 12RecapConnect hazards with actions
Read labels, prepare the bench and use equipment in the right way. A risk assessment names each hazard, explains possible harm and gives a matching control.
Remove hazards where possible, then use safe procedures and protective equipment.
2Make a measurement you can explain
14 steps
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- 1IntroductionFollow one measurement
- 2ExplanationGive numbers their units
- 3ExampleConvert 450 mL to liters
- 4ChallengeCombine two lengths
- 5Key InsightMass and weight need different units
- 6ExplanationMatch the instrument to the job
- 7ExampleCompare two volume scales
- 8ChallengeMeasure a fast movement
- 9ExampleFind one scale space
- 10ExampleUse the scale to read a volume
- 11TipKeep the viewing position straight
- 12ExplanationSet zero before measuring
- 13ChallengeChoose and record a mass
- 14RecapCheck the chain
3Build a plan from an observation
13 steps
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- 1IntroductionBegin with something noticed
- 2ExampleMake the question specific
- 3ExplanationExplain and predict
- 4ChallengeChoose the inquiry
- 5ExplanationAssign variable roles
- 6AnalogyPicture two changed controls
- 7ChallengeIdentify the control group
- 8Key InsightNames, counts and measurements
- 9ExampleChoose a range and repeats
- 10ExampleWrite the measurement steps
- 11TipCheck the plan before collecting data
- 12ChallengeRepair an unfair method
- 13RecapMake every part answer the question
4Turn readings into a pattern
13 steps
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- 1IntroductionKeep readings, then show the trend
- 2ExplanationPrepare the results table
- 3ExampleFind one mean
- 4ChallengeDescribe a data source
- 5ExplanationChoose the display
- 6ExampleSet up the sugar axes
- 7ChallengeRepair a misleading bar chart
- 8ExplanationFit the overall shape
- 9ExampleDescribe the change with evidence
- 10ExampleRead between spring measurements
- 11Key InsightA straight line needs a zero check
- 12ChallengeChoose the better-supported estimate
- 13RecapShow what the data support
5Check agreement, errors and anomalies
12 steps
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- 1IntroductionClose together or close to correct?
- 2ExplanationSeparate accuracy and precision
- 3ExampleCompare two sets of readings
- 4ChallengeCheck what agreement means
- 5ExplanationTell random variation from a shift
- 6ExampleCorrect a positive zero error
- 7ChallengeCorrect an error in the other direction
- 8ExampleInvestigate a time that does not fit
- 9Key InsightUnexpected does not mean wrong
- 10ExampleEstimate uncertainty from spread
- 11ChallengeUse both quality checks
- 12RecapChoose the response that fits
6Build and question a conclusion
12 steps
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- 1IntroductionMake the findings answer the question
- 2ExampleState the claim and evidence
- 3ExplanationAdd the scientific reason
- 4ChallengeKeep the claim within reach
- 5ConnectionLook for another cause
- 6ExampleLink a weakness to a repair
- 7ChallengeChoose useful extra measurements
- 8ExplanationAsk what a claim rests on
- 9ExplanationCheck authors and expert review
- 10Key InsightLet new evidence challenge an idea
- 11ChallengeEvaluate a promising result
- 12RecapConnect conclusions to checks
Working Scientifically practice questions
Set 1: Safety, measuring and planning10 Practice Questions
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Set 2: Tables, graphs and data quality10 Practice Questions
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Set 3: Conclusions and checking evidence10 Practice Questions
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Set 4: Finding weaknesses in investigations10 Practice Questions
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Set 5: Using evidence in new situations10 Practice Questions
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Stuck on your own question? Homework Help
Key Terms
A
Accepted value
Accuracy
Acute toxicity
Aim
Anecdote
Anomalous result
Axis
B
Balance
Bar chart
Barrel
Base unit
Bias
Bunsen burner
C
Categorical variable
Causation
Centi
Claim
Classification
Collar
Conclusion
Continuous variable
Control group
Control measure
Control variable
Correlation
Corrosion pictogram
D
Data logger
Dependent variable
Derived unit
Direct proportion
Discrete variable
E
Environment pictogram
Ethical investigation
Evaluation
Evidence
Exploding-bomb pictogram
Extrapolation
F
Fair test
Flammable
G
Gas-cylinder pictogram
GHS pictogram
Graduated cylinder
H
Half-range estimate
Hazard
Hazard statement
Health-hazard pictogram
Histogram
Hypothesis
I
Independent testing
Independent variable
Instrument range
Interpolation
Interval
Irritant
K
Kilo
L
Line graph
Line of best fit
M
Mass
Mean
Meniscus
Method improvement
Micro
Milli
Model
N
Negative relationship
Newton meter
O
Observation
Oxidizer
P
Parallax error
Pattern seeking
Peer review
Personal protective equipment
Positive relationship
Precautionary statement
Precision
Prediction
Prefix
Primary data
Pseudoscience
Q
Qualitative data
Quantitative data
Quantity
R
Random error
Range of repeats
Reasoning
Repeat reading
Repeatability
Reproducibility
Resolution
Results table
Risk
Risk assessment
S
Safety Data Sheet
Safety flame
Scale division
Scatter graph
Secondary data
SI
Signal word
Systematic error
T
Tare
Test range
Test-tube holder
Testable question
Trial run
U
Uncertainty
V
Validity
Variable
W
Weight
Z
Zero error
- 1Working Scientifically
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