To explain the concept of Symmetry And Symmetrical Lines In Plane Geometrical Figures

Learning Outcomes

After the conduct of the activity the students will be able to:

1. Identify various symmetrical and non symmetrical figures
2. Identify lines of symmetry and various types of symmetries such as line symmetry, reflectional symmetry, rotational symmetry.
3. Develop efficiency in measurement and drawing skills.
4. To discover that diameter is the line of symmetry of a circle and rectangle has two lines of symmetry.
5. To discover that a circle has rotational symmetry of infinite order and rectangle has rotational symmetry of order 2
6. Enjoy the beauty of symmetry in the buildings of architectural marvel such as Taj Mahal, Eiffel tower etc.
7. Develop discovery skills  and curiosity in the subject.
8. To corelate Maths with our day to day life activities

 

 

Description Of Activity

How to conduct the activity

1. The students will be divided into two teams of 6 players and asked to stand on either side of  the mid court line and decide whether the mid court line divides the circle at the center into two halves such that each half exactly covers the other half. This line may be identifies as one of the lines of symmetry of the circle. The students may verify this activity by drawing a circle on a sheet of paper and identifying its diameter as its lines of symmetry.
2. The students will identify the shape of basketball court which is obviously a rectangle. They will guess the number of symmetrical lines in a basketball court and can take help of a rectangular sheet of paper. The students will identify as two lines of symmetry -vertical and horizontal.
3. Now the students will examine the semicircular shape at each  end of the court . They will discover that any semicircle has only one line of symmetry which divides it into two identical parts such that each part exactly covers the other part which can also be verified by paper cutting method.
4. Any one of the team players will be made to stand along the circumference of the circle with equal space between them and discover how line of symmetry of the circle divides number of students into two groups of three players.
5. The students may start the game and find out whether it is convenient to field goal if the players make movement move along the central horizontal line of symmetry. Each player may note down his experience.

Variations

The students may be motivated and encouraged to find the lines of symmetry in football ground, table tennis court and badminton court and discover how these lines of symmetry are helpful to achieve the points while playing the game.  

Coaching Tips

The number of players of  each team may stand along the boundary of plane figures located in the court and find out how lines of symmetry divides them into two groups of equal numbers of players. Also it is easier to gain points conveniently if the movement is made along the lines of symmetry.

Equipment/Material Required

Measuring tape,Chalk sticks,Ruler,Geometrical Equipment