Odisha BSE Madhyama Mathematics study plan
Odisha BSE Madhyama Mathematics · Give each week a clear focus.
8 weeks · About 7 hours per week
Madhyama Class IX Syllabus
List and classify the real numbers (natural, integer, rational, irrational) with two examples each.
State and apply Euclid's division lemma to find HCF of two positive integers.
Prove that √2 and √3 are irrational using contradiction.
Solve three problems on decimal expansion of rational numbers (terminating vs non-terminating).
Your checkpoint
A handwritten sheet with 10 solved problems covering real numbers, including two proofs of irrationality and one HCF application, self-checked against the textbook.
Madhyama Class IX Syllabus
Factorise quadratic and cubic polynomials using the factor theorem and splitting the middle term.
State and verify the relationship between zeros and coefficients of a quadratic polynomial.
Divide one polynomial by another and express the result in the form dividend = divisor × quotient + remainder.
Solve five problems finding all zeros of a polynomial when some zeros are given.
Your checkpoint
A set of 8 polynomial problems solved with full steps, including verification of zero-coefficient relationships, submitted for self-review.
Madhyama Class IX Syllabus
Solve a pair of linear equations in two variables by substitution, elimination, and cross-multiplication methods.
Identify consistent, inconsistent, and dependent systems from their coefficients.
Formulate and solve at least three word problems (age, speed-distance, work) as linear systems.
Graph two linear equations and interpret the intersection point.
Your checkpoint
A one-page summary table of the three algebraic methods plus 6 solved word problems, each with a check of the solution.
Madhyama Class IX Syllabus
Solve quadratic equations by factorisation, completing the square, and the quadratic formula.
Compute the discriminant and determine the nature of roots without solving.
Solve three application problems involving quadratic equations (area, speed, number problems).
Review weeks 1–3 errors and re-solve five previously incorrect problems.
Your checkpoint
A timed 45-minute mock test on real numbers, polynomials, linear equations, and quadratic equations, scored and error-logged.
Madhyama Class X Syllabus
State and apply the Basic Proportionality Theorem (Thales) and its converse to prove triangle similarity.
Prove the Pythagorean theorem using similar triangles and apply it to solve right-triangle problems.
Solve problems on areas of similar triangles and the ratio of corresponding sides.
Compute distances and section formula problems in coordinate geometry.
Your checkpoint
A geometry proof portfolio with 5 fully written proofs (BPT, converse, Pythagoras, area ratio, section formula) and 5 numerical applications.
Madhyama Class X Syllabus
Derive and apply the trigonometric ratios of 0°, 30°, 45°, 60°, and 90°.
Prove standard trigonometric identities and simplify expressions using them.
Solve height-and-distance problems involving angles of elevation and depression with diagrams.
Convert between trigonometric ratios and solve two mixed identity problems.
Your checkpoint
A formula card of all trigonometric ratios and identities plus 8 solved height-and-distance problems with labelled diagrams.
Madhyama Class X Syllabus
Compute mean, median, and mode for grouped and ungrouped data and interpret each measure.
Draw and interpret histograms, frequency polygons, and ogives.
Calculate the probability of simple events using the classical definition and complementary events.
Solve five mixed statistics and probability problems under timed conditions.
Your checkpoint
A statistics and probability worksheet with 10 problems solved, including one ogive drawn and interpreted, and a probability summary sheet.
Madhyama Class IX Syllabus & Madhyama Class X Syllabus
Revise all formulas from both domains using a single condensed formula sheet.
Complete two full-length timed mock tests (one per domain) and score them.
Re-solve every error from the week 4 and week 8 mock tests.
Practice 10 rapid-fire one-mark questions from each domain.
Your checkpoint
A final error log with all corrected problems and a completed formula sheet, plus scores from two full-length mocks showing improvement over week 4.
Milestones
Week 2: Can solve 8 out of 10 real-number and polynomial problems correctly in 30 minutes without notes.
Week 4: Scores at least 60% on the timed 45-minute mock covering domain 1, with all errors logged.
Week 6: Writes the BPT and Pythagoras proofs from memory and solves 4 out of 5 height-and-distance problems correctly.
Week 8: Scores at least 70% on both full-length mocks and shows a clear reduction in repeated errors compared to week 4.