ICSE Class 10 Mathematics
CISCE ICSE Class 10 Mathematics covering GST, banking, shares, equations, matrices, geometry, mensuration, trigonometry, statistics, and probability as per the Council for the Indian School Certificate Examinations syllabus.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Apply GST and Banking concepts to compute taxes, recurring deposit interest, and shares & dividends [Apply]
- Solve quadratic equations, linear inequations, and ratio-and-proportion problems and use the remainder/factor theorems on polynomials [Apply]
- Perform matrix operations and derive terms and sums of arithmetic and geometric progressions [Apply]
- Analyze geometric figures using reflections, similarity, loci, and circle theorems on tangents and chords [Analyze]
- Compute mensuration of right circular cylinders, cones, spheres, and combined solids, and apply the section formula and equation of a line in coordinate geometry [Apply]
- Apply trigonometric identities to heights-and-distances problems and interpret statistical data using histograms, ogives, and measures of central tendency while evaluating probabilities of compound events [Evaluate]
📚 Chapters
- Goods and Services Tax (GST)
- Banking — Recurring Deposit Accounts
- Shares and Dividends
- Linear Inequations
- Quadratic Equations in One Variable
- Ratio and Proportion
- Factorisation — Remainder and Factor Theorems
- Matrices
- Arithmetic and Geometric Progressions
- Reflection
- Coordinate Geometry — Section Formula and Equation of a Line
- Similarity
- Loci
- Circles — Tangents and Chord Properties
- Mensuration — Cylinder, Cone and Sphere
- Trigonometry — Identities and Heights and Distances
- Statistics — Histograms, Ogives and Measures of Central Tendency
- Probability
TutorDA LMS
ICSE Class 9 Mathematics
CISCE ICSE Class 9 Mathematics covering pure and commercial arithmetic, algebra, geometry, mensuration, trigonometry, coordinate geometry, and statistics as per the Council for the Indian School Certificate Examinations syllabus.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Classify rational and irrational numbers and apply laws of indices and logarithms to simplify expressions [Understand]
- Apply compound interest formulas to compute growth, depreciation, and inverse problems in commercial contexts [Apply]
- Solve simultaneous linear equations and factorise algebraic expressions using standard expansions and identities [Apply]
- Prove congruency of triangles and deduce properties of quadrilaterals and circles using Euclidean reasoning [Analyze]
- Compute area, perimeter, surface area, and volume of plane figures and solids using mensuration formulae [Apply]
- Apply trigonometric ratios and identities, and use the Cartesian system to determine equations of straight lines and measures of central tendency [Apply]
📚 Chapters
- Pure Arithmetic — Rational and Irrational Numbers
- Commercial Mathematics — Compound Interest
- Algebra — Expansions, Factorisation and Simultaneous Linear Equations
- Algebra — Indices and Logarithms
- Geometry — Triangles and Congruency
- Geometry — Rectilinear Figures and Quadrilaterals
- Geometry — Circle
- Statistics — Mean, Median and Frequency Distribution
- Mensuration — Area and Perimeter of Plane Figures
- Mensuration — Surface Area and Volume of Solids
- Trigonometry — Trigonometric Ratios and Identities
- Coordinate Geometry — Cartesian System and Straight Lines
TutorDA LMS