Activity 6: Basic Proportionality Theorem for a Triangle verifies Thales' theorem using a triangle and parallel lines.
By graphical method; intersecting lines mean unique solution, parallel lines mean no solution, coincident lines mean infinite solutions.
Activity 11 (coiling method) and Activity 12 (paper cutting and pasting) derive the area of a circle.
Activity 4 finds the sum of first n natural numbers using visual representation and formula derivation.
Activity 9 shows centroid is the intersection point of all three medians, located two-thirds from each vertex.
Tangents drawn from an external point to a circle are equal in length and subtend equal angles at center.
It compares lateral and total surface area of a right circular cylinder by cutting and rearranging its net.
Activity 3 uses paper cutting and pasting to check constant common difference in an arithmetic progression.
It demonstrates that triangles formed by drawing a line parallel to one side of a triangle are similar.
Project 6: Frequency of Letters / Words in a Language Text, useful for understanding statistical distributions.
Activity 6: Basic Proportionality Theorem for a Triangle verifies Thales' theorem using a triangle and parallel lines.
By graphical method; intersecting lines mean unique solution, parallel lines mean no solution, coincident lines mean infinite solutions.
Activity 11 (coiling method) and Activity 12 (paper cutting and pasting) derive the area of a circle.
Activity 4 finds the sum of first n natural numbers using visual representation and formula derivation.
Activity 9 shows centroid is the intersection point of all three medians, located two-thirds from each vertex.
Tangents drawn from an external point to a circle are equal in length and subtend equal angles at center.
It compares lateral and total surface area of a right circular cylinder by cutting and rearranging its net.
Activity 3 uses paper cutting and pasting to check constant common difference in an arithmetic progression.
It demonstrates that triangles formed by drawing a line parallel to one side of a triangle are similar.
Project 6: Frequency of Letters / Words in a Language Text, useful for understanding statistical distributions.