8 Practical Geometry Lessonplan Vinay

# Instructional Objectives

The students should know and do the following at the end of the topic

- Properties of quadrilaterals – Sum of angles of a quadrilateral is equal to 360
^{0}(By verification). - Properties of parallelogram (By verification)
- Opposite sides of a parallelogram are equal,
- Opposite angles of a parallelogram are equal,
- Diagonals of a parallelogram bisect each other. [Why (iv), (v) and (vi) follow from (ii)]
- Diagonals of a rectangle are equal and bisect each other.
- Diagonals of a rhombus bisect each other at right angles.
- Diagonals of a square are equal and bisect each other at right angles.

- Five measurements can determine a quadrilateral uniquely.
- A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal is given.
- A quadrilateral can be constructed uniquely if its two diagonals and three sides are known.
- A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are known.
- A quadrilateral can be constructed uniquely if its three sides and two included angles are given.

# Teaching process

- Teaching process involves exploring geometrical shapes and understanding the hidden structures with real life examples.
- Construction of quadrilaterals and understanding the procedure behind.

# Activities

- This topic involves extensive geometric constructions with various methods as mentioned above
- Study of geometry through fire alters