Year 8 Science · Unit 1 · Lesson 6
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Learning Goals
Read the graph
The bar chart below shows the surface area : volume (SA:V) ratio for cubes of increasing size. Study the graph, then answer the three questions.
Data: calculated from geometric principles (SA = 6s², V = s³)
(a) Describe the trend shown in the graph. What happens to the SA:V ratio as the cube gets larger?
(b) By how many times does the SA:V ratio decrease when the cube side doubles from 1 mm to 2 mm? Show your working.
(c) A blue whale has an extremely low SA:V ratio. Use this to explain why a whale needs a transport system, while an amoeba does not.
Because… chain
Fill in the missing effects. Each cause leads to the next step in the chain.
Overall outcome for the organism:
1. Imagine you double the side length of a cube from 2 mm to 4 mm. The SA increases by a factor of 4, but the volume increases by a factor of 8. Explain why this matters for cells deep inside the larger organism.
2. A heart the size of a small car has been measured in blue whales. Use the concept of SA:V ratio and the needs of living cells to explain why such an enormous heart is necessary.
Wrap Up
In one sentence, what was the main idea of this lesson?