Area Under a Straight Line Graph - Calculate the area under a straight line graph.

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Area Under a Straight Line Graph

Task:

Calculate the area under a straight line graph. Investigate.

Plan:

I intend to start off with simple diagrams eg y = x, y = x + 1, y = x + 2 etc.

I will then calculate the areas and put them into a table. I can then use the table and the diagrams to help me find a generalisation. I can then draw more complex diagrams by changing the gradient and the intercept. I can then find generalisations with several variables. I then will test and explain these generalisations.

Basic Diagrams:

Equation

Area of 'triangle'

Area of 'rectangle'

Total Area

y = x

(10 x 10) / 2 = 50

-

50 units2

y = x + 1

50

1 x 10 = 10

6o units2

Y= x + 2

50

2 x 10 = 20

70 units2

y = x + 3

50

3 x 10 = 30

80 units2

y = x + 4

50

4 x 10 = 40