Back to the lesson plan builder
Lesson length30 min45 min60 min

Print the plan for yourself; the student sheet prints on its own page after it.

Science lesson plan · 7th grade (Year 8 in England) · 45 minutes

Stretching springs: extension and Hooke's law

Forces and motion

CCSS NGSS.MS-PS2-2CCSS NGSS.HS-PS2-1England: KS3 Physics: Motion and forces (forces and elasticity)England: GCSE Combined Science: Forces (required practical: force and extension)

Objective and success criteria

Students will: Stretching springs: extension and Hooke's law.

  • 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: Mass and weight (W = mg)

Leads to: Energy stored in a stretched spring (E = ½ k e²)

Materials: Force meters, Toy cars and ramps, Mini whiteboards, A diagram or short video clip of the idea, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Mass and weight (W = mg)). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is the weight of a 8 kg object on Earth? Use g = 9.8 N/kg. → 78.4 NPrompt: weight = mass × gravitational field strength (W = m g)
  2. An astronaut's mass is 10 kg. Gravitational field strength on the Moon is 1.6 N/kg. What would their weight be there, in N? → 16 NPrompt: Mass stays the same everywhere; weight changes.
  3. Mass and weight: which statement is NOT true? (Mass and weight are the same thing. / Your mass is the same on the Moon as on Earth. / You would weigh less on the Moon than on Earth. / Weight is a force measured in newtons.) → Mass and weight are the same thing.Prompt: Which one changes on the Moon?

Hook · 5 min

  • Drop a sheet of paper and a scrunched-up sheet together and ask why one falls faster.
  • Share the objective: Stretching springs: extension and Hooke's law. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: A spring is 15 cm long. When a weight is hung on it, it is 17 cm long. What is the extension, in cm?
  • Step 1: 17 − 15 = 2
  • Step 2: So the answer is: 2 cm
  • Answer: 2 cm
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. A spring is 15 cm long. When a weight is hung on it, it is 21 cm long. What is the extension, in cm? → 6 cmPrompt: Extension is how much longer the spring has become.
  2. A spring has a spring constant of 200 N/m. What force is needed to stretch it by 8 cm, in N? (F = k × e, with e in metres) → 16 NPrompt: Convert the extension to metres first.

You do: independent practice · 10 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. A force of 2 N stretches a spring by 10 cm. What is the spring constant, in N/m? → 20 N/mPrompt: k = F ÷ e
  2. A spring is 12 cm long. When a weight is hung on it, it is 18 cm long. What is the extension, in cm? → 6 cmPrompt: Extension is how much longer the spring has become.

Watch out for

  • Everyday meanings of words getting in the way of the science meaning: define key words explicitly.
  • Remembering facts without the reason: ask "why?" and "what is the evidence?"

Support and stretch

Support

  • Review first: Mass and weight (W = mg).
  • Use concrete materials: force meters.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Energy stored in a stretched spring (E = ½ k e²).
  • 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/science/grade-7.

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

eurekami

Stretching springs: extension and Hooke's law

Name

Date

Score/ 8

  1. Question 1

    A force of 0.4 N stretches a spring by 2 cm. What is the spring constant, in N/m?

    AnswerN/m

  2. Question 2

    A spring is 12 cm long. When a weight is hung on it, it is 20 cm long. What is the extension, in cm?

    Answercm

  3. Question 3

    Two springs are stretched by the same force. Spring A stretches less than B. Which has the larger spring constant?

    • A. it cannot be known
    • B. spring B
    • C. spring A (it is stiffer)
    • D. they are equal
  4. Question 4

    A spring has a spring constant of 100 N/m. What force is needed to stretch it by 2 cm, in N? (F = k × e, with e in metres)

    AnswerN

  5. Question 5

    A spring is 15 cm long. When a weight is hung on it, it is 20 cm long. What is the extension, in cm?

    Answercm

  6. Question 6

    What does it mean if a spring goes past its elastic limit?

    • A. It becomes stronger
    • B. It snaps back faster
    • C. Its spring constant doubles
    • D. It will not return to its original length when the force is removed
  7. Question 7

    A force of 1.6 N stretches a spring by 4 cm. What is the spring constant, in N/m?

    AnswerN/m

  8. Question 8

    A spring is 20 cm long. When a weight is hung on it, it is 28 cm long. What is the extension, in cm?

    Answercm

Free from eurekami.com

for the adult only

Answer key: Stretching springs: extension and Hooke's law

  1. 1. 20 N/m

  2. 2. 8 cm

  3. 3. C. spring A (it is stiffer)

  4. 4. 2 N

  5. 5. 5 cm

  6. 6. D. It will not return to its original length when the force is removed

  7. 7. 40 N/m

  8. 8. 8 cm