draw a square root spiral upto root 5
Answers
Answer:
Step-by-step explanation:
Objective
To make a square root spiral by using paper folding.
Prerequisite Knowledge
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
eg., √2 = √(12 +12). By using this Concept, we will represent irrational numbers on a number line by paper folding.
Materials Required
Tracing paper, pencil, geometry box.
Procedure
To represent √2 on a number line.
Draw a line OX on the tracing paper. Mark point O on one end and mark points 0, 1,2, 3, … at equal distances of 1 unit by paper folding.
Fold the paper along the line that passes through the point marked ‘1’ and perpendicular to the line OX, i.e., fold the paper in such a way that point ‘O’ coincides with point ‘2’. Make a crease and unfold it. From the point marked ‘1’, draw a line of length 1 unit moving along the crease. Mark the point as M such that PM = 1 unit. Join OM, clearly OM= √2 units.
cbse-class-9-maths-lab-manual-square-root-spiral-1
Fold the paper along the line ( fold on point M in such a way that point O joined with any point lie on OX,) that passes through point M and perpendicular to OM at M. Make a crease and unfold it. From the point M, draw a line of 1 unit moving upward, along the crease. Mark the point as N such that MN = 1 unit. Join ON, where ON = √3.
cbse-class-9-maths-lab-manual-square-root-spiral-2
Keep this process continuously to get √4, √5, √6, ……….
cbse-class-9-maths-lab-manual-square-root-spiral-3
Result
In this way, we get a square root spiral pattern by using paper folding.
Learning Outcome
On the same plane, different irrational numbers can be represented on the number line by paper folding method.
By using Pythagora’s theorem students will be able to construct a square root spiral by paper folding method.
