Foundation Math — Class 10
Class 10 NCERT mathematics with JEE-prep extensions for early aspirants.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Apply Euclid's division algorithm and the fundamental theorem of arithmetic per NCERT Class 10 [Apply]
- Compute zeroes of polynomials and verify relationships between zeroes and coefficients [Apply]
- Solve pairs of linear equations by substitution, elimination, and graphical methods [Apply]
- Solve quadratic equations using factorisation, completing the square, and the quadratic formula [Apply]
- Apply similarity criteria, distance and section formulas, and trigonometric ratios to geometric problems [Apply]
- Analyze data using mean, median, and mode of grouped data and compute basic probabilities [Analyze]
📚 Chapters
- Real Numbers — Euclid's Algorithm and Fundamental Theorem
- Polynomials — Zeroes and Division Algorithm
- Pair of Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles — Similarity
- Coordinate Geometry — Distance and Section Formulae
- Introduction to Trigonometry
- Applications of Trigonometry — Heights and Distances
- Circles — Tangents and Secants
- Areas Related to Circles, Surface Areas and Volumes
- Statistics and Probability
TutorDA LMS
Foundation Math — Class 9
Class 9 NCERT mathematics with JEE-prep extensions for early aspirants.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Distinguish rational from irrational numbers and represent them on the real number line per NCERT Class 9 [Analyze]
- Apply the remainder and factor theorems to factor polynomials of degree two and three [Apply]
- Plot points and graph linear equations in two variables on the Cartesian plane [Apply]
- Apply congruence rules — SSS, SAS, ASA, RHS — to prove triangle properties [Apply]
- Compute areas using Heron's formula and surface areas and volumes of cylinders, cones, and spheres [Apply]
- Analyze frequency distributions and basic probability of single-event experiments [Analyze]
📚 Chapters
- Number Systems — Rational and Irrational Numbers
- Polynomials
- Coordinate Geometry — Introduction
- Linear Equations in Two Variables
- Lines and Angles
- Triangles — Congruence and Properties
- Quadrilaterals
- Areas of Parallelograms and Triangles
- Circles — Basics
- Heron's Formula and Surface Areas/Volumes
- Statistics — Introduction
- Probability — Basics
TutorDA LMS
Foundation Math — Class 8
Class 8 NCERT mathematics with JEE-prep extensions for early aspirants.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Apply operations on rational numbers and represent them on the number line as per the NCERT Class 8 framework [Apply]
- Solve linear equations in one variable arising from word problems on age, money, and motion [Apply]
- Compute squares, square roots, cubes, and cube roots using prime-factorization methods [Apply]
- Apply percentage, profit-loss, and compound-interest formulas to commercial-mathematics problems [Apply]
- Analyze algebraic identities such as (a+b)^2 and (a+b)(a-b) and use them in factorisation [Analyze]
- Compute areas and volumes of standard solids and interpret bar graphs and pie charts from data [Apply]
📚 Chapters
- Rational Numbers
- Linear Equations in One Variable
- Understanding Quadrilaterals
- Squares and Square Roots
- Cubes and Cube Roots
- Comparing Quantities — Percentage, Profit-Loss, Compound Interest
- Algebraic Expressions and Identities
- Mensuration — Areas and Volumes
- Exponents and Powers
- Direct and Inverse Proportions
- Factorisation
- Introduction to Graphs and Data Handling
TutorDA LMS