Fun Activities

Uses and learning and intellectual development

• Concept of angles
• Types of angle
• Angle estimation
• Concept of analogue clock
• Concept of circle and its parts (arc, radius, diameter, chord, sector, segment, semi-circle etc.)
• Concept of tangent and secant
• Finding ratios and patterns between different intersecting chords in a circle
• How circle is related to polygons
• Estimating value of PI. The method Archimedes used to estimate PI
• Finding area and circumference of circle
• Properties of cyclic quadrilateral
• Thales theorem – patterns of angles in a triangle within a semi-circle
• Theorems of angles – discovery patterns in angles subtended by chord at center and at other half
• Fraction – whole and part of angles and areas within a circle
• Angle and polygon puzzles

Circle Properties & Theorems

• What are various parts of circle called?
• What is relationship between various parts of circle?
• How do polygons within a circle behave?
• How can you discover Thales Theorem (angle at semicircle)?
• How different chords are related?
• What pattern do you find in angle subtended by same chord on center, and on circumference.

Visualizing Angles

• What right angles have a specific measure of 90 degrees?
• What is right, straight or reflex angle?
• What is supplementary of complementary angle?

Discovering PI

• What is ratio between circumference and diameter?
• How Archimedes discovered PI, by making regular polygons inside and outside a circle?
• What is difficulty in measuring exact value of PI?
• When diameter or radius is known, how can we compute of estimate circumference or vice versa?

Telling Direction

• How can we explain concept of four directions?
• How do we describe a direction of a path, when it neither in straight line nor at right angle from previous path?
• What is clockwise and anticlockwise direction?
• What is concept of bearing, how it is used in real life?
• How a magnetic compass direction is read?