By considering a right angled triangle as half a rectangle the students are guided through deriving the formula for any triangle. The emphasis is placed on recognizing the perpendicular height for isosceles and scalene triangles with different orientations.

**Differentiated Learning Objectives**

- All students should be able to calculate the area of a right-angled triangle as half of a rectangle.
- Most students should be able to derive the formula for the area of a triangle and use it.
- Some students should be able to calculate the area of a compound shape involving rectangles and triangles.

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