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Math lesson plan · 5th grade (Year 6 in England) · 60 minutes

Read changes and trends from a line graph

Statistics and probability

CCSS 5.G.A.2England: Y5 StatisticsEngland: Y6 Statistics

Objective and success criteria

Students will: Read changes and trends from a line graph.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Line graphs; Coordinates in the first quadrant

Leads to: the next skill in this area.

Materials: Squared paper for charts, Class survey data, Sticky notes for a live chart, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Line graphs; Coordinates in the first quadrant). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A line graph shows the number of trees planted each year: 2020: 30, 2021: 5, 2022: 36, 2023: 8, 2024: 32. In which year were the most trees planted? (2020 / 2021 / 2022 / 2023 / 2024) → 2022Prompt: Find the highest point on the line.
  2. A line graph shows the number of trees planted each year: 2020: 23, 2021: 38, 2022: 5, 2023: 8, 2024: 22. In which year were the most trees planted? (2020 / 2021 / 2022 / 2023 / 2024) → 2021Prompt: Find the highest point on the line.
  3. A line graph shows the number of trees planted each year: 2020: 35, 2021: 34, 2022: 37, 2023: 24, 2024: 36. In which year were the most trees planted? (2020 / 2021 / 2022 / 2023 / 2024) → 2022Prompt: Find the highest point on the line.

Hook · 6 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Read changes and trends from a line graph. Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Model one question from the student sheet, thinking aloud.
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.

You do: independent practice · 17 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.

Watch out for

  • Forgetting to put data in order before finding the median.
  • Reading a bar's height wrongly when the scale goes up in 2s or 5s.

Support and stretch

Support

  • Review first: Line graphs.
  • Use concrete materials: squared paper for charts.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-5.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Read changes and trends from a line graph

Name

Date

Score/ 8

  1. Question 1

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 0 to hour 4? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 7)(1, 10)(2, 10)(3, 15)(4, 20)(5, 20)(6, 20)

    Answer

  2. Question 2

    The line graph shows a plant's height (cm) from week 0 to week 6. In which week did it grow the most? (Give the week it ended in.)

    xy12345624681012141618200(0, 5)(1, 6)(2, 7)(3, 10)(4, 14)(5, 12)(6, 13)

    Answer

  3. Question 3

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 2 to hour 6? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 7)(1, 10)(2, 8)(3, 6)(4, 9)(5, 7)(6, 12)

    Answer

  4. Question 4

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 2 to hour 3? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 6)(1, 9)(2, 12)(3, 9)(4, 9)(5, 11)(6, 10)

    Answer

  5. Question 5

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 3 to hour 5? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 6)(1, 8)(2, 13)(3, 11)(4, 15)(5, 15)(6, 14)

    Answer

  6. Question 6

    The line graph shows a plant's height (cm) over 7 weeks (week 0 to 6). What was the greatest height?

    xy12345624681012141618200(0, 5)(1, 7)(2, 10)(3, 13)(4, 13)(5, 11)(6, 11)

    Answer

  7. Question 7

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 0 to hour 1? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 8)(1, 8)(2, 8)(3, 8)(4, 11)(5, 11)(6, 9)

    Answer

  8. Question 8

    The line graph shows the temperature (°C) at hours 0 to 6 of an experiment. By how much did the temperature change from hour 3 to hour 6? (Use a negative number for a fall.)

    xy12345624681012141618200(0, 8)(1, 11)(2, 13)(3, 16)(4, 15)(5, 15)(6, 13)

    Answer

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Answer key: Read changes and trends from a line graph

  1. 1. 13

  2. 2. 4

  3. 3. 4

  4. 4. -3

  5. 5. 4

  6. 6. 13

  7. 7. 0

  8. 8. -3