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Science lesson plan · 9th grade (Year 10 in England) · 60 minutes

Force, mass and acceleration (F = ma)

Forces and motion

CCSS NGSS.HS-PS2-1England: KS4 Combined Science: Forces and motion

Objective and success criteria

Students will: Force, mass and acceleration (F = ma).

  • 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: Newton's laws of motion; Mass and weight (W = mg)

Leads to: Momentum (p = m v); Circular motion and centripetal force

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

Warm-up · 6 min

  • Quick retrieval from earlier learning (Newton's laws of motion; Mass and weight (W = mg)). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A passenger lurches forward when a bus brakes suddenly. Which law explains this? (Hooke's law / Newton's third law / Ohm's law / Newton's first law (inertia)) → Newton's first law (inertia)Prompt: The passenger keeps moving unless a force acts on them.
  2. What is the weight of a 35 kg object on Earth? Use g = 9.8 N/kg. → 343 NPrompt: weight = mass × gravitational field strength (W = m g)
  3. Newton's laws: which statement is true? (A bigger resultant force gives a bigger acceleration for the same mass. / A moving object needs a constant force to keep moving at steady speed in space. / Heavier objects need less force to accelerate. / The two forces in a Newton's third law pair act on the same object.) → A bigger resultant force gives a bigger acceleration for the same mass.Prompt: Think about inertia, F = ma and action–reaction pairs.

Hook · 6 min

  • Drop a sheet of paper and a scrunched-up sheet together and ask why one falls faster.
  • Share the objective: Force, mass and acceleration (F = ma). 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.
  • Example: What resultant force is needed to accelerate a 80 kg mass at 2.5 m/s²?
  • Step 1: F = 80 × 2.5 = 200
  • Step 2: So the answer is: 200 N
  • Answer: 200 N
  • 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.
  1. What resultant force is needed to accelerate a 10 kg mass at 2.5 m/s²? → 25 NPrompt: F = m × a
  2. A resultant force of 400 N acts on a 800 kg object. What is its acceleration, in m/s²? → 0.5 m/s²Prompt: Rearrange F = m a to find a.

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.
  1. A 4 kg cart is pushed forward with 3 N. Friction acts backwards with 1 N. What is its acceleration, in m/s²? → 0.5 m/s²Prompt: First find the resultant force.
  2. A resultant force of 2.5 N acts on a 5 kg object. What is its acceleration, in m/s²? → 0.5 m/s²Prompt: Rearrange F = m a to find a.

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: Newton's laws of motion.
  • 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: Momentum (p = m v); Circular motion and centripetal force.
  • 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-9.

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

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Force, mass and acceleration (F = ma)

Name

Date

Score/ 8

  1. Question 1

    What resultant force is needed to accelerate a 1200 kg mass at 4 m/s²?

    AnswerN

  2. Question 2

    A resultant force of 30 N acts on a 10 kg object. What is its acceleration, in m/s²?

    Answerm/s²

  3. Question 3

    A 25 kg cart is pushed forward with 125 N. Friction acts backwards with 50 N. What is its acceleration, in m/s²?

    Answerm/s²

  4. Question 4

    What resultant force is needed to accelerate a 1000 kg mass at 4 m/s²?

    AnswerN

  5. Question 5

    A resultant force of 20 N acts on a 4 kg object. What is its acceleration, in m/s²?

    Answerm/s²

  6. Question 6

    A 25 kg cart is pushed forward with 150 N. Friction acts backwards with 50 N. What is its acceleration, in m/s²?

    Answerm/s²

  7. Question 7

    What resultant force is needed to accelerate a 2 kg mass at 2 m/s²?

    AnswerN

  8. Question 8

    A resultant force of 400 N acts on a 800 kg object. What is its acceleration, in m/s²?

    Answerm/s²

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Answer key: Force, mass and acceleration (F = ma)

  1. 1. 4800 N

  2. 2. 3 m/s²

  3. 3. 3 m/s²

  4. 4. 4000 N

  5. 5. 5 m/s²

  6. 6. 4 m/s²

  7. 7. 4 N

  8. 8. 0.5 m/s²