Indian

Indian Curriculum

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Subjects

Mathematics G9

  • Overview
  • Chapters

Mathematics

  • 1: Number Systems
    1.1: Real Numbers
    1.1.1: Representation of natural numbers, integers, rational numbers on the number line
    1.1.2: Terminating / non-terminating recurring decimals on the number line
    1.1.3: Operations on real numbers
    1.1.4: Examples of non-recurring / non-terminating decimals
    1.1.5: Existence of irrational numbers, and their representation on the number line
    1.1.6: Definition of nth root of a real number
    1.1.7: Rationalization (with precise meaning) of real numbers and their combinations
    1.1.8: Recall of laws of exponents with integral powers
    1.1.9: Rational exponents with positive real bases
  • 2: Algebra
    2.1: Polynomials
    2.1.1: Definition of polynomial in one variable, with examples and counter examples
    2.1.2: Coefficients of polynomial
    2.1.3: Terms of a polynomial and zero polynomial
    2.1.4: Degree of a polynomial
    2.1.5: Constant, linear, quadratic and cubic polynomials
    2.1.6: Monomials, binomials, trinomials (factors and multiplies)
    2.1.7: Zeros of polynomials
    2.1.8: Motivate and state the remainder theorem with examples
    2.1.9: Statement and proof of the factor Theorem
    2.1.10: Factorization of ax2 + bx + c, a≠0 where a,b and c are real numbers
    2.1.11: Cubic polynomials using the factor of Theorem
    2.1.12: Recall of algebraic expression and identities
    2.1.13: Verification of identities and their use in factorization of polynomials
    2.2: Linear equations in two variables
    2.2.1: Recall of Linear equations in one variable
    2.2.2: Introduction to the equation in two variables
    2.2.3: Focus on linear equations of the type ax+by+c =0
    2.2.4: Explain that a linear equation in two variables has infinitely many solutions
    2.2.5: Graph of linear equations in two variables
    2.2.6: Real life problems on ratio and proportion with solutions
  • 3: Coordinate geometry
    3.1: Coordinate geometry
    3.1.1: The cartesian plane coordinates of a point
    3.1.2: Names and terms associated with the coordinate plane
    3.1.3: Notations and plotting points in the plane
  • 4: Geometry
    4.1: Introduction to EUCLID'S Geometry
    4.1.1: History - geometry in India and EUCLID's geometry
    4.1.2: EUCLID'S method of formalizing observed phenomenon
    4.1.3: The five postulates of Euclid
    4.1.4: Equivalent versions of the fifth postulate
    4.1.5: Showing the relationship between axiom and theorem
    4.2: Lines and Angles
    4.2.1: A ray stands on a line, the sum and converse of two adjacent angles formed 180°
    4.2.2: (prove) if two lines intersect, vertically opposite angles are equal
    4.2.3: Angles, when a transversal intersects two parallel lines
    4.2.4: Lines which are parallel to a given line are parallel
    4.2.5: The sum of the angles of a triangle 180
    4.2.6: The exterior angle, and the sum of two interior opposite angles
    4.3: Triangles
    4.3.1: The Side-Angle-Side theorem of congruency
    4.3.2: ASA (Angle-Side- Angle)
    4.3.3: side side side congruence postulate
    4.3.4: RHS Congruence Rule states that in two right
    4.3.5: (prove) The angles opposite to equal sides of a triangle are equal
    4.3.6: (Motivate) The sides opposite to equal sides of a triangle are equal
    4.3.7: The line segment joining the mid-points of two sides
    4.4: quadrilaterals
    4.4.1: The diagonal divides a parallelogram into two congruent triangles
    4.4.2: (Motivate) In a parallelogram opposite sides are equal, and conversely
    4.4.3: (Motivate) In a parallelogram opposite angles are equal, and conversely
    4.4.4: Quadrilateral is Parallelogram, if its opposite sides is parallel and equal
    4.4.5: (Motivate) In a parallelogram, the diagonals bisect each other and conversely
    4.4.6: In a triangle, the line segment joining the mid-points of any two sides
    4.5: Area
    4.5.1: Review concept of area, recall area of a rectangle
    4.5.2: Parallelograms on the same base and between the same parallels have equal area
    4.5.3: Triangles on the same base and between the same parallels are equal in area
    4.6: Circles
    4.6.1: Definition of Circle and related concepts
    4.6.2: Equal chords of a circle subtend equal angles
    4.6.3: The perpendicular from the center of a circle to a chord bisects the chord
    4.6.4: Line drawn through the center of a circle to bisects a chord is perpendicular
    4.7: Constructions
  • 5: Mensuration
    5.1: Areas
    5.1.1: Area of a triangle using Heron's Formula
    5.2: Surface Areas and Volumes
    5.2.1: Surface areas of cubes, cuboids, spheres and right circular cylinders / cones
    5.2.2: Volumes of cubes, cuboids, spheres and right circular cylinder /cones
  • 6: Statics and probability
    6.1: Statics
    6.1.1: Introduction to statics
    6.1.2: Collection of Data
    6.1.3: Presentation of Data
    6.1.4: Mean of Median and mode of ungrouped data
    6.2: Probability
    6.2.1: Introduction
    6.2.2: Repeated experiments and observed frequency approach to probability
    6.2.3: Focus on Empirical Probability
    6.2.4: The Experiments from real life situation on Statics

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