Kerala SSLC Mathematics study plan

Derive the nth-term and sum formulas for arithmetic sequences from the first term and common difference, then apply both formulas to 12 mixed problems without prompts.

Use the remainder theorem and factor theorem to factor cubic polynomials with integer roots, showing each substitution step.

Distinguish arithmetic sequences from other sequences by computing successive differences and stating the common difference or rejecting the sequence.

Solve 8 polynomial word problems involving zeros, coefficients, and the division algorithm, and label each answer with units where needed.

Solve second-degree equations by factoring, completing the square, and the quadratic formula, choosing the most efficient method for each equation.

Form a quadratic equation from given roots and verify the relationships between roots and coefficients.

Compute theoretical and experimental probabilities for simple events using equally likely outcomes and relative frequency.

Solve 6 probability problems involving dice, playing cards, and bags of counters drawn without replacement, stating the sample space explicitly.

Derive and use the sine, cosine, and tangent ratios for 30°, 45°, and 60° to solve right-triangle problems.

Compute the distance between two points, the midpoint of a segment, and the slope of a line from coordinates.

Convert between trigonometric ratios and coordinate geometry by placing right triangles on the Cartesian plane and labelling opposite, adjacent, and hypotenuse sides.

Solve 10 mixed problems that combine the distance formula with trigonometric ratios and require a diagram for each.

State and apply circle theorems on angles in the same segment, cyclic quadrilaterals, and the perpendicularity of a tangent to the radius at the point of contact.

Construct tangents to a circle from an external point and justify each construction step in writing.

Calculate unknown lengths using tangent segments from an external point and chord properties.

Prove two tangent-related configurations using two-column or paragraph proofs with stated reasons.

Prove triangles similar using AA, SAS, and SSS criteria and compute unknown sides from the resulting ratios.

Apply the Basic Proportionality Theorem and its converse to solve segment-division problems.

Compute mean, median, mode, and range for grouped and ungrouped data from frequency tables.

Draw a cumulative frequency curve and use it to estimate the median of a grouped data set.

Solve 15 arithmetic-sequence problems under 25-minute timed conditions with at least 90% accuracy.

Solve 15 second-degree equation problems, including word problems, under 25 minutes with at least 90% accuracy.

Analyse every error from weeks 1–2 and rewrite each correction with a one-sentence explanation of the mistake.

Build a one-page decision flowchart for choosing between factoring, completing the square, and the quadratic formula.

Solve 12 mixed trigonometry and similar-triangle problems that require a diagram, a ratio equation, and a final numerical answer.

Complete one full-length mock paper covering all 11 domains under exam time limits without notes.

Classify mock-paper errors by domain and rank the three weakest domains for final revision.

Re-solve every missed mock question and write the corrected method beside it.

Revise the formula sheet for arithmetic sequences, second-degree equations, trigonometry, and coordinate geometry in a 30-minute recall session.

Complete two half-length timed papers focused on the highest-weight algebra domains and score each immediately.

Apply a fixed exam routine - read all questions, attempt familiar items first, and show formula substitutions - on both timed papers.

Write a final one-page personal error sheet listing recurring mistakes and the exact correction for each.