**Students` Learning Outcomes**

- Recognize the kinds of quadrilaterals (Square, Rectangle, Parallelogram, Rhombus, Trapezium and kite)

Information for Teachers

Quadrilaterals:

^{o }A closed figure with four sides and sum of its all interior angles is 360^{0}

Square:

o All sides are of the same length.

o Opposite sides are parallel.

o There are four right angles.

o Diagonals are equal.

Parallelogram:

o Opposite sides are parallel.

o Opposite sides are of same length.

o Consecutive angles are supplementary (Their sum is equal to 180

^{0})o All quadrilaterals, except for trapezium and kite are considered parallelograms.

Rectangles:

o Opposite sides are of the same length and parallel.

o There are four right angles.

o Consecutive angles are supplementary.

o Diagonals are equal.

Rhombuses:

o Parallelogram with four equal sides and equal opposite angles.

o Opposite sides are parallel.

o Consecutive angles are supplementary.

o Diagonals are not equal.

Trapezium:

o Has only two parallel sides (one pair)

Kite:

o Has two pairs of equal (adjacent) sides

o Each angle is less than 180

^{0 }

- Consult text book at all the steps wherever required.

Material / Resources

Writing board, chalk / marker, duster, one figure drawn on A4 paper, one or two sets according to strength, scissor, geometry box, textbook

Introduction

- Following pictures distribute among students and ask are these triangles?
- If they say “no” then ask them why they said no! And then introduce that close-shape with four sides is known as quadrilateral.
- Introduce name of each of quadrilaterals with following figures i.e. square, rhombus, trapezoid, and rectangle. However, don`t explain the properties of these.

Development

Activity 1

- Write names of all five quadrilaterals on board.

- Divide the class into 5 or 10 groups and give each group a sheet with one quadrilateral on it.
- Students need to name their quadrilateral, as specially as possible, and then cut it out.
- Use rulers and protractors to draw and measure diagonals and angles, find as many relationships as possible between opposite sides, opposite angles and diagonals.
- Ask them to find answer of following questions:

o Relation between lengths of sides.

o Relation between angles.

o Number of parallel pairs.

- Ask each group to record its findings and write inside the shape.
- Invite one presenter in front of class and present the quadrilateral given to that group.
- Distribute a worksheet or draw the given table on board and then check mark each characteristic for reinforcement.
- Teacher leads students to recognize relationships between quadrilaterals and fill the table.
- Ask them to look for things similar to these quadrilaterals and write their names. This can be given as homework as well.
- Wrap up the activity by drawing each figure on board and repeating its characteristics with whole class.

Sum up / Conclusion

- Quadrilateral just means “four sides” (quad means four, lateral means side).
- Any four-sided shape is a Quadrilateral.
- But the sides to be straight and it has to be 2-dimensional.

Properties:

- Four sides (or edges)
- The interior angles add up to 360 degrees:

- Types of Quadrilaterals:

Assessment

- “Name that Quadrilateral”

Q1: Is it a square or a rhombus?

Q2: Draw a Trapezoid on board and ask why it is not a Rhombus? (Students will have to decide after thinking about properties of both. Similarly you can give questions for any of two shapes).

§ Conduct a game in class “Pass Word”. One group will give clues to the other group and they have to find the figure.

Q3: Prepare True / False questions. For example;

o Every rectangle is a parallelogram. (True / false)

o Every square is a quadrilateral. (True / false)

o A Rhombus is a kite also (True / false)

- Involve the students in solving the exercise questions given at the end of the lesson of textbook.

Follow up

- Tick the appropriate box according to the given pictures below.