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 3600
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 1800)
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 1800
- 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.
