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Drawing and Interpreting Graphs in Science — Answers

Answer sheet with model answers and success criteria for the 7th Grade working scientifically worksheet.

Success TutoringWorksheetsAnswer sheet7th Grade · Science · Working Scientifically

Drawing and Interpreting Graphs in Science — Answers

Part A: Choosing and setting up a graph

Read the passage, then answer the questions.

Use a line graph when both variables are numbers measured on a continuous scale, such as time, temperature or length. Use a column graph when the independent variable is made of separate categories, such as types of material or habitats.

Put the independent variable (the one you change) on the horizontal x-axis and the dependent variable (the one you measure) on the vertical y-axis. Label each axis with the variable and its units, choose a scale that goes up in equal steps and uses most of the grid, and give the graph a title.

1.Which type of graph is best for showing how the temperature of a cooling drink changes over time?
  1. Aline graph
  2. Bcolumn graph
  3. Cpie chart
  4. Dpicture graph

Answer: line graph

Time and temperature are both continuous (measured) variables, so a line graph shows the change best.

2.Which type of graph is best for showing the number of insects found in four different habitats?
  1. Aline graph
  2. Bcolumn graph
  3. Cscatter graph with a line
  4. Dno graph is possible

Answer: column graph

The habitats are categories, not numbers on a scale, so a column graph is best.

3.On which axis should the independent variable go?
  1. Athe horizontal (x) axis
  2. Bthe vertical (y) axis
  3. Ceither axis — it does not matter
  4. Dit should not be graphed

Answer: the horizontal (x) axis

By convention the variable you change goes along the horizontal axis and the variable you measure goes up the vertical axis.

4.Match each term to its meaning.
  • trend
  • outlier
  • interpolate
  • extrapolate
  • line of best fit
  • a result that does not fit the pattern
  • read a value between your measured points
  • extend the pattern beyond your measured points
  • the general pattern shown by the data
  • a smooth line or curve that follows the overall pattern of the points

Answer: trend → the general pattern shown by the data; outlier → a result that does not fit the pattern; interpolate → read a value between your measured points; extrapolate → extend the pattern beyond your measured points; line of best fit → a smooth line or curve that follows the overall pattern of the points

5.Each axis label should include the variable's name and its (answer space), such as (°C) or (min).

Answer: units

Part B: Interpreting a cooling curve

Imagine the data plotted as a line graph. Show your working.

Investigation: A beaker of hot water was left to cool in a room at 22 °C. Its temperature was recorded every 2 minutes.

Time (min): 0, 2, 4, 6, 8, 10

Temperature (°C): 80, 64, 52, 43, 37, 33

6.By how many degrees did the temperature fall in the first 2 minutes? What was the average rate of cooling in that time?

Answer: 16 °C; 8 °C per minute

  1. 80 − 64 = 16 °C
  2. 16 ÷ 2 = 8 °C per minute
7.By how many degrees did the water cool over the whole 10 minutes?

Answer: 47 °C

  1. 80 − 33 = 47 °C
8.Use interpolation to estimate the temperature at 5 minutes.

Answer: About 47 °C (accept 46–48 °C): between 52 °C at 4 min and 43 °C at 6 min, slightly below the halfway value of 47.5 °C because the curve is flattening.

9.Describe the trend in the data.

Answer: The temperature decreases over time. It falls quickly at first and then more and more slowly as the water gets closer to room temperature.

10.If the investigation continued for a long time, what temperature would the water most likely settle at?
  1. A0 °C
  2. Babout 22 °C (room temperature)
  3. C33 °C
  4. Dit would keep falling forever

Answer: about 22 °C (room temperature)

Hot water cools until it reaches the temperature of its surroundings, then stops changing. Extrapolating too far without this knowledge could give a wrong answer.

Part C: Good graphing practice

Write True or False, then answer the extended question.

11.The numbers on a graph's scale should go up in equal steps.

Answer: True

Unequal steps distort the shape of the graph and make the trend misleading.

12.On a line graph you should always join the points with straight lines using a ruler, even if they are scattered.

Answer: False

When points are scattered, draw a smooth line of best fit through the overall pattern instead of joining dot to dot.

13.An outlier should be checked, and the measurement repeated if possible.

Answer: True

An outlier may be caused by an error, so scientists check it rather than ignoring it or hiding it.

14.A student graphed the cooling data like this: time is on the vertical axis and temperature on the horizontal axis; the axes have no labels or units; the temperature scale goes 80, 60, 50, 45, 30; there is no title; and the points are drawn as large blobs joined dot to dot. List four problems with the graph and explain how to fix each one.

Model answer: 1. The axes are the wrong way round: time (the independent variable) should be on the horizontal axis and temperature on the vertical axis. 2. There are no labels or units: label the axes "Time (min)" and "Temperature (°C)". 3. The scale is uneven: use equal steps, such as 0, 10, 20 … 90 °C. 4. There is no title: add one such as "Temperature of hot water as it cools over 10 minutes". 5. Large blobs are inaccurate: plot small, neat crosses and draw a smooth curve of best fit through them.

Success criteria:

  • Identifies the swapped axes
  • Identifies missing labels/units
  • Identifies the uneven scale
  • Identifies missing title or poor plotting
  • Gives a correct fix for each problem
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