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 · 9th grade (Year 10 in England) · 45 minutes

Period and frequency (T = 1 / f)

Light, sound and waves

CCSS NGSS.HS-PS4-1England: GCSE Combined Science: Waves (Physics only: period)

Objective and success criteria

Students will: Period and frequency (T = 1 / f).

  • 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: Wave speed = frequency × wavelength

Leads to: the next skill in this area.

Materials: Slinky or rope, Mirrors and torches, Mini whiteboards, A diagram or short video clip of the idea, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Wave speed = frequency × wavelength). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A wave has a frequency of 10 Hz and a wavelength of 3 m. What is its speed, in m/s? → 30 m/sPrompt: v = f × λ
  2. Sound travels at 340 m/s in air. What is the wavelength of a 680 Hz sound, in metres? → 0.5 mPrompt: Rearrange v = f λ to find λ.
  3. A wave has a frequency of 2 Hz. What is its period (the time for one wave), in seconds? → 0.5 sPrompt: Period T = 1 ÷ frequency.

Hook · 5 min

  • Ask the class to make a wave with a rope or slinky and describe what moves and what doesn't.
  • Share the objective: Period and frequency (T = 1 / f). 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 wave has a frequency of 5 Hz. What is its period, in seconds?
  • Step 1: 1 ÷ 5 = 0.2
  • Step 2: So the answer is: 0.2 s
  • Answer: 0.2 s
  • 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 wave has a frequency of 50 Hz. What is its period, in seconds? → 0.02 sPrompt: Period is the time for one complete wave.
  2. One complete vibration takes 0.5 s. What is the frequency, in Hz? → 2 HzPrompt: f = 1 ÷ T

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. One complete vibration takes 0.25 s. What is the frequency, in Hz? → 4 HzPrompt: f = 1 ÷ T
  2. A wave has a frequency of 20 Hz. What is its period, in seconds? → 0.05 sPrompt: Period is the time for one complete wave.

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: Wave speed = frequency × wavelength.
  • Use concrete materials: slinky or rope.
  • 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/science/grade-9.

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

eurekami

Period and frequency (T = 1 / f)

Name

Date

Score/ 8

  1. Question 1

    A sound wave has a period of 0.01 s and travels at 330 m/s. What is its wavelength, in m? (v = f λ)

    Answerm

  2. Question 2

    One complete vibration takes 0.01 s. What is the frequency, in Hz?

    AnswerHz

  3. Question 3

    A wave has a frequency of 4 Hz. What is its period, in seconds?

    Answers

  4. Question 4

    A sound wave has a period of 0.005 s and travels at 330 m/s. What is its wavelength, in m? (v = f λ)

    Answerm

  5. Question 5

    One complete vibration takes 0.25 s. What is the frequency, in Hz?

    AnswerHz

  6. Question 6

    A wave has a frequency of 5 Hz. What is its period, in seconds?

    Answers

  7. Question 7

    One complete vibration takes 0.1 s. What is the frequency, in Hz?

    AnswerHz

  8. Question 8

    A wave has a frequency of 100 Hz. What is its period, in seconds?

    Answers

Free from eurekami.com

for the adult only

Answer key: Period and frequency (T = 1 / f)

  1. 1. 3.3 m

  2. 2. 100 Hz

  3. 3. 0.25 s

  4. 4. 1.65 m

  5. 5. 4 Hz

  6. 6. 0.2 s

  7. 7. 10 Hz

  8. 8. 0.01 s