Mathematics kit use report for the activity spiral root

 

Mathematics Activity Sheet

Class: 9
Topic: Construction of Square Root Spiral
Under: PM SHRI Scheme
Using: JUMBO GEOMETRY BOX MAGNETIC — LKGM 404 Maths Kit

Aim:

To construct a Square Root Spiral (Theodorus Spiral) using geometrical tools and to understand square roots through hands-on visualization.

Kit Items Used:

• JUMBO GEOMETRY BOX MAGNETIC — LKGM 404 Maths Kit

• Magnetic ruler

• Magnetic compass

• Magnetic protractor

• Magnetic set squares

• Magnetic board

• Chalk or marker

• Pointer for demonstration

(This kit is a precision model designed for clear and accurate geometric construction, supporting interactive math learning.)

Procedure:

1. Fix the base point O on the magnetic board.

2. Draw line segment OA = 1 unit.

3. Construct a perpendicular at A using a set square.

4. With center A and radius 1 unit, mark B on the perpendicular line. OB = √2 units.

5. From B, draw the next perpendicular and mark C, making OC = √3 units.

6. Repeat this process, each time:

   • Using the last point as the center,

   • Radius = Distance from O to the last point,

   • Marking the next point.

7. Label each segment with its square root value: √2, √3, √4, √5, and so on.

8. Join all points sequentially to create the Square Root Spiral.

Observation:

• Each new line segment from O to a new point represents a square root value.

• The spiral shows how square roots grow progressively.

• It visually connects the idea of numbers with geometric length.

Conclusion:

The Square Root Spiral Activity helps students understand that square roots are real, measurable lengths and are not just abstract numbers.
This hands-on experience builds clear concepts of irrational numbers and enhances visualization skills.

Targeted Learning Outcomes:

Students will be able to:
✅ Understand the concept of square roots and their geometric representation.
✅ Accurately construct square root-based segments using the Maths Kit.
✅ Visualize the relationship between numbers and their square roots as a growing spiral.
✅ Apply this understanding to real-life math problems.
✅ Develop spatial reasoning, precision, and problem-solving skills through hands-on learning.

Teacher’s Feedback:

The Square Root Spiral Activity using the JUMBO GEOMETRY BOX MAGNETIC — LKGM 404 Maths Kit provided students with a hands-on experience that deepened their understanding of square roots and their geometric interpretation.
The PM SHRI scheme has significantly enriched mathematics learning by introducing such interactive tools, enabling students to engage deeply with concepts rather than rely on rote memorization.
The activity successfully enhanced students’ logical thinking, construction skills, and real-world application of mathematics.

Student’s Feedback:

Constructing the Square Root Spiral using the magnetic maths kit was a fun and interactive way to learn square roots!
It helped us visualize and understand square roots as actual distances rather than just numbers on paper.
We are thankful to our teacher and the PM SHRI Scheme for introducing such exciting learning methods that make math enjoyable, practical, and easy to understand.

✅ Thanks to the PM SHRI Scheme!
(For promoting hands-on, activity-based learning in Mathematics.)