Linear functions (Yr 7-Au)

Linear Functions

Learning goal: to understand the relationship between tables, functions and graphs

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The water level in a dam is 22m and is decreasing by 0.2m each day in the summer.  What will the water level be after 14 days?

​The water level in a dam is 22m and is decreasing by 0.2m each day in the summer.  What will be the water level after 14 days?

​This problem can be written as a linear function.

w = 22 - 0.2d

Let's see why this is a linear function.

​In maths, a function is a rule or instruction that helps us find answers to problems.

We can use a function machine to help us.

​We can choose an amount for one variable to find out what the other variable is:

w = 22 - 0.2d

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What would the water level be in the dam after day 3?

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What would the water level be in the dam after day 5?

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What would the water level be in the dam after day 5?

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What would the water level be in the dam after day 18?

Draw

Plot the other coordinates on the graph

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What numbers go in the shaded boxes?

Draw

Plot the coordinates onto the graph

​Then complete the questions in chapter 11.4 - Plotting simple linear relations.

Poll

How well do you understand the relationship between tables, functions and graphs?

• I feel like an expert and could teach a friend

• I understood this concept

• I am beginning to understand some of the parts

• I still don't really understand.