1. Trapezium Rule
Pádraic Kavanagh

2. Previous Knowledge Area of a Trapeziumh a b h b

3. Previous Knowledge Figures made from Combinations of Shapes

4. Use one of the shapes below (lots of times!) to fill this area
What about this one?
Use one of the shapes below (lots of times!) to fill this area ? ? ? ?

5. Using Trapeziums ? ? ? ?

6. Activity – Find the Area of a semi circle
Paper activity in the class room.
Outside using larger semi circle drawn on the ground.
Discuss how it could be improved upon and sources of error.

7. How could we improve on this?
Doing the same calculation over and over again for the area of each trapezium is time consuming.
Mathematicians came up with a formula that saves having to calculate the area of each of the individual trapeziums….

8. Trapezium Rule y1 y2 y3 y4 y5 y5 y6 y7 y8 y9 h
width