MATHEMATICS
Secondary Practical Curriculum • Subject Code: 211
Evaluated in Mathematics Laboratory Sessions
CERTIFICATE OF PRACTICAL WORK
National Institute of Open Schooling • Class 10 (Secondary)
This is to certify that Aditya Verma, Enrollment No. 270083211045, student of Class X (Secondary), has satisfactorily performed and documented all 10 Prescribed Laboratory Activities in the subject of Mathematics (Subject Code: 211) in partial fulfillment of the examination conducted by NIOS, New Delhi for the academic session 2026–2027.
The practical activities encompass core competencies in Geometric Verifications of Algebraic Identities (a + b)² = a² + 2ab + b², (a - b)² = a² - 2ab + b², a² - b² = (a + b)(a - b), and (a + b)³ = a³ + 3a²b + 3ab² + b³, Arithmetic Strip Division for HCF (Euclid's Algorithm: a = bq + r), Graphical Solutions of Linear Equations in Two Variables (2x - y = 6), Quadratic Equation Roots and Coefficients (α + β = -b/a, αβ = c/a), Sum of First n Odd Natural Numbers [1 + 3 + 5 + ... + (2n - 1) = n²], Sum of First n Terms of an Arithmetic Progression [Sn = (n/2)(2a + (n - 1)d)], and the Parabolic Zeroes of Quadratic Polynomials.
Acknowledgement
"I convey my sincere gratitude to my Mathematics Laboratory Mentor and Teacher for their continuous guidance, mathematical rigor, and support during the preparation of geometric cutouts, coordinate plots, and experimental proofs."
All 10 Activities Verified
Record: 3M | Viva: 3M | Lab Activities: 9M
TABLE OF PRACTICAL ACTIVITIES (INDEX)
Official Secondary Mathematics (211) Practical Record
| # | Act | Domain | Name of the Practical Activity | Date | Pg | Action |
|---|---|---|---|---|---|---|
| 1 | 01 | Algeb | Verification of Identity (a + b)² = a² + 2ab + b² | 06/10/26 | 04 | |
| 2 | 02 | Algeb | Verification of Identity (a - b)² = a² - 2ab + b² | 09/10/26 | 06 | |
| 3 | 03 | Algeb | Verification of Identity a² - b² = (a + b)(a - b) | 13/10/26 | 08 | |
| 4 | 04 | Solids | Verification of Identity (a + b)³ = a³ + 3a²b + 3ab² + b³ | 17/10/26 | 10 | |
| 5 | 05 | Arith | Finding HCF of Two Numbers (20 & 32) by Strip Division Method | 21/10/26 | 13 | |
| 6 | 06 | Graph | To Verify that a Linear Equation (2x - y = 6) has Infinite Solutions | 25/10/26 | 16 | |
| 7 | 07 | Quad | Relation Between Roots & Coefficients of Quadratic Equations | 29/10/26 | 18 | |
| 8 | 08 | Graph | To Verify Graphically that a Quadratic Polynomial Can Have at Most Two Zeroes | 03/11/26 | 20 | |
| 9 | 09 | Numbers | Finding the Sum of First n Odd Natural Numbers: 1+3+5+...+(2n-1) = n² | 07/11/26 | 23 | |
| 10 | 10 | AP Series | Finding the Sum of First n Terms of an Arithmetic Progression (A.P.) | 11/11/26 | 26 |
Plate: Laboratory Assessment Demonstration
Fig: Geometric Construction & Algebraic Proof Schematic