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      Use knowledge of positive and negative numbers to interpret graphs

      Lesson details

      Learning outcome

      I can use knowledge of positive and negative numbers to interpret graphs.

      Key learning points

      1. Negative data values can be recorded by extending the axes beyond zero

      Keywords

      • Axis / axes - The x and y lines that cross at right angles to make a graph or grid.

      Common misconception

      Inaccuracy when reading horizontally from the top of a bar to the y axis on a bar chart.

      Model and encourage the use of rulers to follow a straight horizontal line from the top of a bar to the y axis.

      Teacher tip

      Pupils who have completed the tasks can be asked to find other data from the bar chart beyond the questions asked. This could take the form of questions for a partner.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Match the keyword with the definition.

      Correct Answer:axes,the plural of axis

      the plural of axis

      Correct Answer:x axis,the horizontal line on a coordinate grid or graph

      the horizontal line on a coordinate grid or graph

      Correct Answer:y axis,the vertical line on a coordinate grid or graph

      the vertical line on a coordinate grid or graph

      Q2.
      A number line showing positive and negative values has marked intervals going up and down in twos. Which of the following numbers would appear as a marked interval?

      Correct answer: 46
      4.2
      Correct answer: 0
      Correct answer: −58
      −65

      Q3.
      A number line showing positive and negative values has marked intervals going up and down in fives. Which of the following numbers would not appear in between the marked intervals?

      75
      Correct answer: 5.5
      −100
      −65
      Correct answer: −82

      Q4.
      Fill in the gap: 20, 15, 10, 5, 0, , −10

      Correct Answer: -5, - 5, minus 5, negative 5, negative five

      Q5.
      Tick all of the statements that are true of this graph.

      An image in a quiz
      Correct answer: It is a bar graph.
      It is a line graph.
      Correct answer: It has marked intervals.
      It has unmarked intervals.
      The x axis shows the length of the objects.

      Q6.
      What is the difference between the length of the pencil and the length of the book? cm

      An image in a quiz
      Correct Answer: 15, fifteen, 15.0, Fifteen, 15.

      6 Questions

      Q1.
      The graph shows the average monthly temperature in the first three months of the year in ℃. What is the temperature in January?

      An image in a quiz
      Correct Answer: -5, - 5

      Q2.
      What is the difference between the temperature in January and the temperature in February?

      An image in a quiz
      Correct Answer: 3, 3.0, three, Three

      Q3.
      This graph shows the minimum temperatures in degrees Celsius on different days of the week. What is the difference between the highest and lowest temperatures?

      An image in a quiz
      Correct Answer: 7, 7.0, seven, Seven, 7.

      Q4.
      Tick all the statements that are true.

      An image in a quiz
      Correct answer: The temperature on Tuesday was 0℃
      There is a 7℃ difference between the temperatures on Monday and Thursday.
      The temperature decreases every day.
      Correct answer: Thursday is warmer than Wednesday.
      Correct answer: There is a 1℃ difference between the temperatures on Wednesday and Thursday.

      Q5.
      In a line graph showing temperatures, what would the different orientations of the line mean? Match the type of line with the description of what it shows.

      Correct Answer:Line going upwards,Temperature increases

      Temperature increases

      Correct Answer:Horizontal line,Temperature remains the same

      Temperature remains the same

      Correct Answer:Line pointing downwards,Temperature decreases

      Temperature decreases

      Q6.
      This graph shows the changes in temperature over several days in ℃. Tick all the statements that are true.

      An image in a quiz
      The temperatures are always negative.
      Correct answer: There is no change in the temperature between Sunday and Monday.
      There is a decrease in the temperature between Friday and Saturday.
      There is 5℃ difference between the highest and lowest temperatures.
      Correct answer: There is 7℃ difference between the temperatures on Saturday and Sunday.

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