L1 Lesson 1.1 Demonstrate an understanding of: Representationof natural numbers, integers, rational numbers onthe number line
Lesson 1.2Demonstrate an understanding of: Representationof terminating/ non – terminating recurringdecimals, on the number line through successivemagnification
Lesson 1.3 Demonstrate an understanding of: Rationalnumbers as recurring/ terminating decimals
Lesson 1.4 Understand definition of the nth root of a realnumber
Lesson 1.5 Demonstrate an understanding of: Law ofexponents with integral powers
Lesson 1.6 Demonstrate an understanding of: Rationalexponents with positive real bases
Challenging Questions integrating the aboveconceptsLesson 1.7
Chapter : 2.Polynomials
L2 Lesson 2.1 Demonstrate an understanding of A polynomial inone variable with examples and counter examples
Lesson 2.2Demonstrate an understanding of Coefficients of apolynomial, terms of a polynomial and zeropolynomial, degree of a polynomial, constant,linear, quadratic and cubic polynomials
Lesson 2.3 Demonstrate an understanding of Monomials,binomials, trinomials
Lesson 2.4 Demonstrate an understanding of Factors andMultiples
Lesson 2.5 Demonstrate an understanding of Zeros of apolynomial
Lesson 2.6 Demonstrate an understanding of The RemainderTheorem with examples
Lesson 2.7 Demonstrate an understanding of Statement andproof of the Factor Theorem
Lesson 2.8Demonstrate an understanding of Factorization ofax^2 + bx +c, a ≠0, where a, b and c are realnumbers; and of cubic polynomials using the Factor Theorem
Lesson 2.9Algebraic expressions and identities, verificationof identities and their use in factorization ofpolynomials
Lesson 2.10 Challenging Questions integrating the aboveconcepts
Chapter : 4.Linear Equations in Two Variables
L4 Lesson 4.1Demonstrate an understanding of: Equation in twovariables (review /recall of linear equations in onevariable)
Lesson 4.2 Demonstrate an understanding of: Word problemson linear equations in one variable
Lesson 4.3 Demonstrate an understanding of: Linearequations of the type: ax +by +c = 0
Lesson 4.4Demonstrate an understanding of: A linearequation in two variables has infinitely manysolutions, each solution written as an orderedpair of real numbers, plotting them shows theylie in a line
Chapter : 3.Coordinate Geometry
L3 Lesson 3.1Demonstrate an understanding of: The Cartesianplane, coordinates of a point, names and termsassociated with the coordinate plane, notations,plotting points in the plane
Lesson 3.2 Demonstrate an understanding of: X coordinate(abscissa) and Y coordinate (ordinate)
Lesson 3.3 Demonstrate an understanding of: Four quadrants
Lesson 3.4
Demonstrate an understanding of: Graph of linearequations in two variables
Lesson 4.6Demonstrate an understanding of: Examples/wordproblems from real life including problems onRatio and Proportion
Challenging Questions integrating the aboveconcepts
Chapter : 5.Introduction to Euclid’s Geometry
L5 Lesson 5.1 Demonstrate an understanding of: The history ofGeometry in India and Euclid’s Geometry
Lesson 5.2Demonstrate an understanding of: Euclid’smethod of formalizing observed phenomenon intorigorous mathematics
Lesson 5.3 Demonstrate an understanding of: Euclid’sdefinitions, Axioms and Postulates
Lesson 5.4 Demonstrate an understanding of: Euclid’s fivepostulates
Lesson 5.5 Demonstrate an understanding of: Equivalentversions of Euclid’s fifth postulate
Lesson 5.6Show the relationship between axiom andtheorem, for example: Axiom1: Given two distinctpoints, there exists one and only one line throughthem
Lesson 5.7Show the relationship between axiom andtheorem, for example: Theorem 2: Two distinctlines cannot have more than one point in common
Lesson 5.8 Challenging Questions integrating the aboveconcepts
Chapter : 7.Triangles
L7 Lesson 7.1 Demonstrate an understanding of: Congruence oftriangles
Lesson 7.2Demonstrate an understanding of: Criteria forcongruence of triangles (SAS congruence, ASAcongruence, SSS congruence, RHs – Right angleHypotenuse Side congruence)
Lesson 7.3 Understand that: The angles opposite to equalsides of a triangle are equal
Lesson 7.4 Understand that: The sides opposite to equalangles of a triangle are equal
Lesson 7.5 Demonstrate an understanding of inequalities intriangles
L14
L15
Collection of data, presentation of data - tabularform, ungrouped / groupedLesson 14.1
Lesson 14.2 Bar graphs, histograms (with varying baselengths)
Lesson 14.3Frequency polygons, qualitative analysis of datato choose the correct form of presentation for thecollected data
Lesson 14.4 Mean, median, mode of ungrouped data
Lesson 14.5 Challenging Questions integrating the aboveconcepts
Chapter : 8.Quadrilaterals
L8 Lesson 8.1 Demonstrate an understanding of: Angle sumproperty of a quadrilateral
Lesson 8.2 Demonstrate an understanding of: Types ofquadrilaterals
Lesson 8.3Properties of parallelograms (A quadrilateral is aparallelogram if a pair of its opposite sides isparallel and equal)
Lesson 8.4 Understand that the diagonal divides aparallelogram into two congruent triangles
Lesson 8.5 In a parallelogram opposite sides are equal, andconversely
Lesson 8.6 In a parallelogram opposite angles are equal, andconversely
Lesson 8.7 In a parallelogram, the diagonals bisect each otherand conversely
Understand the Mid – Point TheoremLesson 8.8
Lesson 8.9 Challenging Questions integrating the aboveconcepts
Chapter : 11.Constructions
L11 Demonstrate an understanding of basicconstructions: A circleLesson 11.1
Lesson 11.2Demonstrate an understanding of basicconstructions: A perpendicular bisector of a linesegment
Lesson 11.3 Demonstrate an understanding of basicconstructions: A bisector of a given angle
Construction of angles of measure 60°, 90°, 45°etc., equilateral trianglesLesson 11.4
Lesson 11.5Construction of a triangle given its base,sum/difference of the other two sides and onebase angle
Lesson 11.6 Construction of a triangle of given perimeter andbase angles
Lesson 11.7Challenging Questions integrating the aboveconcepts
Chapter : 9.Area of Parallelograms and Triangles
L9 Lesson 9.1 Review concept of area, recall area of rectangle
Lesson 9.2 Understand Parallelograms on the same base andbetween the same parallels have the same area
Lesson 9.3Demonstrate an understanding of triangles on thesame or equal base and between the sameparallels are equal in area
Lesson 9.4 Challenging Questions integrating the aboveconcepts
Chapter : 10.Circles
L10 Demonstrate an understanding of Centre of circle,plane of the circle, radius and diameter
Demonstrate an understanding of Interior of thecircle
Demonstrate an understanding of Major arc
Demonstrate an understanding of Minor arc
Demonstrate an understanding of Exterior of thecircle
Chapter : 6.Lines and Angles
L6 Lesson 6.1 Demonstrate an understanding of: Line segment
Lesson 6.2 Demonstrate an understanding of: Collinearpoints and non collinear points
Lesson 6.3 Demonstrate an understanding of: Angle: armsand vertex
Lesson 6.4 Demonstrate an understanding of: Types ofangles: acute, right, obtuse, straight and reflex
Chapter : 12.Heron’s Formula
L12 Lesson 12.1 Area of a triangle with its sides as a, b and c iscalculated by using Heron’s formula
Lesson 12.2Area of a quadrilateral whose sides and onediagonal are given, can be calculated by dividingthe quadrilateral into two triangles and using theHeron’s formula
Lesson 12.3 Challenging Questions integrating the aboveconcepts
Chapter : 13.Surface Area and Volume
L13 Lesson 13.1 Surface areas and volumes of: Cubes
Lesson 13.2 Surface areas and volumes of: Cuboids
Lesson 13.3 Surface areas and volumes of: Spheres (includinghemispheres)
Lesson 13.4 Surface areas and volumes of: Right circularcylinders/cones
Lesson 13.5 Challenging Questions integrating the aboveconcepts
Lesson 15.1Develop an understanding of: Repeatedexperiments and observed frequency approachto probability
Lesson 15.2 Develop an understanding of: Focus on empiricalprobability
Lesson 15.3 Develop an understanding of: The experiments tobe drawn from real - life situations
Develop an understanding of: The probability ofan event lies between 0 and 1 (0 and 1 inclusive)
Challenging Questions integrating the aboveconcepts
Lesson 15.4
Lesson 15.5
Chapter : 14.Statistics
Chapter : 15.Probability
Lesson 6.5 Demonstrate an understanding of:Complementary and Supplementary angles
Lesson 6.6 Demonstrate an understanding of: Adjacentangles
Lesson 6.7 Demonstrate an understanding of: Verticallyopposite angles
Lesson 6.8Intersecting and non intersecting lines - If twolines intersect, vertically opposite angles areequal
Lesson 6.9Parallel lines and transversal - Angles formed andtheir axioms: angles formed includecorresponding angles, alternate angles andinterior angles.
Lesson 6.10 Lines parallel to the same line
Lesson 6.11 Angle sum property of a triangle: proof andproblems based on it
Lesson 6.12 Exterior angle of a triangle equal to the sum of thetwo opposite interior angles
Lesson 6.13 Word problems on all the above
Lesson 6.14 Challenging Questions integrating the aboveconcepts
Lesson 4.5
Lesson 4.7 Equations of lines parallel to the x - axis andy-axis: Represent solution on number line
Equations of lines parallel to the x - axis andy-axis: Represent solution on the Cartesian Plane
Lesson 4.9 Challenging Questions integrating the aboveconcepts
Lesson 4.8
Lesson 10.1
Lesson 10.2
Lesson 10.4
Lesson 10.5
Demonstrate an understanding of Circumference
Demonstrate an understanding of Major segment
Lesson 10.6
Lesson 10.3
Demonstrate an understanding of Minor segment
Demonstrate an understanding that there is oneand only one circle passing through three givennon-collinear points
Understand that equal chords of a circle subtendequal angles at the center and its converse
Understand that the perpendicular from the centerof a circle to a chord bisects the chord andconversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord
Lesson 10.7
Lesson 10.8
Lesson 10.10
Understand that equal chords of a circle (or ofcongruent circles) are equidistant from the center(or their respective centers) and conversely
Lesson 10.12
Lesson 10.11
Lesson 10.9
Demonstrate an understanding that the anglesubtended by an arc at the center is double theangle subtended by it at any point on theremaining part of the circle
The sum of either of the pair of the oppositeangles of a cyclic quadrilateral is 180° and itsconverse
Understand that the angles in the same segmentof a circle are equal
If a line segment joining two points subtendsequal angle at two other points lying on the sameside of the line containing the segment, the fourpoints lie on a circle
Lesson 10.13
Lesson 10.15
Problem involving proofs of above and based onthe proofs finding an angle and other relatedterms
Lesson 10.17
Lesson 10.16
Lesson 10.14
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Chapter : 1.Number System
LESSON LEVELS CONCEPT
GRADE9
Lesson 7.6 Word problems on all the above
Lesson 7.7 Challenging Questions integrating the above concepts
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