Lab Manual: Division of a Paper Strip in Equal Parts | Lab Manuals for Class 9 PDF Download

Objective

Prerequisite Knowledge
Intercept Theorem: If there are three (or more) parallel lines and intercepts made by them on any transversal are equal, then intercepts made by them on any other transversal are also equal.

Materials Required
Tracing sheet, colours, ruled sheet of paper, geometry box.

Procedure

• Cut a rectangular strip of paper from a tracing sheet which is to be divided into 7 equal parts. Name it as ABCD.
  
• Now, take a ruled sheet, and mark the lines as 0, 1, 2, 3, 4 from top to bottom.
• Place the paper strip on the ruled sheet such as the point A coincides with line marked 0 and the point D coincides with line marked 7 as shown in the fig. (ii).
• Mark the points on the strip where parallel lines of ruled sheet cuts the strip as X₁, X₂, X₃, X₄, X₅, X₆ on line AD and Y₁, Y₂, Y₃, Y₄, Y₅, Y₆ on line BC.
• Now draw the lines X₁Y₁, X₂Y₂, X₃Y₃, X₄Y₄, X₅Y₅, X₆Y₆, parallel to AB and colour them as shown in fig. (iii).
  

Observation
X₁Y₁, X₂Y₂, X₃Y₃, X₄Y₄, X₅Y₅, X₆Y₆ divide the paper strip into seven equal parts.

Result
We obtain equally divided strip as AX₁Y₁B = X₁X₂Y₂Y₁ = X₂X₃Y₃Y₂ = X₃X₄Y₄Y₃ = X₄X₅Y₅Y₄ = X₅X₆Y₆Y₅ = X₆DCY₆.

Learning Outcome
Students can divide any rectangular strip in equal parts.

Activity Time
To make fraction chart.

• Take 9 strips of same size and colour them with different colours.
• Now by using ruled sheet, divide these strips into 1, 2, 3, 4, 5, 6,……9 equal parts.
• Paste these divided strips on a chart paper one below the other. See fig. (iv).
• A beautiful fraction chart is formed.