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Science lesson plan · 8th grade (Year 9 in England) · 30 minutes

Surface area to volume ratio and exchange

Cells, genetics and evolution

CCSS NGSS.HS-LS1-2CCSS NGSS.SEP 5England: GCSE Combined Science: Cell biology (exchange surfaces)

Objective and success criteria

Students will: Surface area to volume ratio and exchange.

  • 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: Diffusion: how particles spread out

Leads to: the next skill in this area.

Materials: Microscope images or slides, Cell diagrams, Mini whiteboards, A diagram or short video clip of the idea, Printed student sheet (below).

Warm-up · 4 min

  • Quick retrieval from earlier learning (Diffusion: how particles spread out). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Which change would make diffusion faster? (a thicker membrane / a smaller surface area / a lower temperature / a higher temperature) → a higher temperaturePrompt: Think about how fast the particles move.
  2. Agar cubes containing indicator were put into acid. Time for the whole cube to change colour: 1 cm cube 8 min, 2 cm cube 16 min, 3 cm cube 24 min. Which cube's centre was reached fastest by the acid? (the 1 cm cube / the 2 cm cube / the 3 cm cube) → the 1 cm cubePrompt: Fastest means the shortest time.
  3. Diffusion: which statement is NOT true? (Particles stop moving once they are evenly spread. / A steeper concentration gradient gives faster diffusion. / A larger surface area speeds up diffusion. / Diffusion does not need energy from respiration.) → Particles stop moving once they are evenly spread.Prompt: Which direction is the net movement?

Hook · 3 min

  • Show a microscope image of cells and ask what students think they are looking at.
  • Share the objective: Surface area to volume ratio and exchange. Read the success criteria together.

I do: model it · 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: A cube-shaped cell model has sides of 3 cm. What is its surface area to volume ratio, written as ? : 1?
  • Step 1: surface area = 6 × 3 × 3 = 54 cm²
  • Step 2: volume = 3³ = 27 cm³
  • Step 3: 54 ÷ 27 = 2
  • Step 4: So the answer is: 2
  • Answer: 2
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 6 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 cube-shaped cell model has sides of 3 cm. What is its surface area to volume ratio, written as ? : 1? → 2Prompt: Surface area of a cube = 6 × side × side.
  2. Why are the alveoli in the lungs so numerous and tiny? (to filter out food / to make the lungs heavier / to store air for later / to give a huge surface area for gas exchange) → to give a huge surface area for gas exchangePrompt: Many small bubbles have more surface than one big bag.

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Exchange surfaces: which statement is NOT true? (A larger cube has a larger surface area to volume ratio. / Villi increase the surface area of the small intestine. / Large animals need transport systems to reach all their cells. / Fish gills have many thin filaments to increase surface area.) → A larger cube has a larger surface area to volume ratio.Prompt: What happens to SA:V as an object gets bigger?
  2. A cube-shaped cell model has sides of 6 cm. What is its surface area to volume ratio, written as ? : 1? → 1Prompt: Surface area of a cube = 6 × side × side.

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: Diffusion: how particles spread out.
  • Use concrete materials: microscope images or slides.
  • 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-8.

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

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Surface area to volume ratio and exchange

Name

Date

Score/ 6

  1. Question 1

    Exchange surfaces: which statement is NOT true?

    • A. Large animals need transport systems to reach all their cells.
    • B. Fish gills have many thin filaments to increase surface area.
    • C. Villi increase the surface area of the small intestine.
    • D. A larger cube has a larger surface area to volume ratio.
  2. Question 2

    A cube-shaped cell model has sides of 2 cm. What is its surface area to volume ratio, written as ? : 1?

    Answer

  3. Question 3

    An elephant has a much smaller surface area to volume ratio than a mouse. What problem does this cause?

    • A. Losing heat too quickly
    • B. Getting too little food
    • C. Moving too fast
    • D. Losing heat quickly enough
  4. Question 4

    A cube-shaped cell model has sides of 4 cm. What is its surface area to volume ratio, written as ? : 1?

    Answer

  5. Question 5

    Why are the alveoli in the lungs so numerous and tiny?

    • A. to give a huge surface area for gas exchange
    • B. to filter out food
    • C. to store air for later
    • D. to make the lungs heavier
  6. Question 6

    Which feature does NOT increase the effectiveness of an exchange surface?

    • A. a thick wall
    • B. being ventilated
    • C. a large surface area
    • D. a good blood supply

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Answer key: Surface area to volume ratio and exchange

  1. 1. D. A larger cube has a larger surface area to volume ratio.

  2. 2. 3

  3. 3. D. Losing heat quickly enough

  4. 4. 1.5

  5. 5. A. to give a huge surface area for gas exchange

  6. 6. A. a thick wall