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Maths Level C

Level C  is equivalent to Class 6 , 7 & 8                              

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  • Recapitulation of numbers and their properties of operations learnt earlier 
  • Introduction to the sense of largeness and approximation of large numbers 
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  • Concepts of factor and multiple of a number
  • Prime and composite numbers
  • Even and odd numbers
  • Common factors and common multiple, coprime numbers, concepts of HCF and LCM and their relationship 
  • Prime factorisation and finding HCF and LCM  through prime factorisation
  • HCF and LCM by Division meathod
  • Divisibility rules by 2,3,4,5,6,7,8,9,10 and 11 and properties of divisibility
  • Validity and use of the result  HCFxLCM = Product of two numbers
  • Use of HCF and LCM in simplification of fractions and operations on fractions
  • Word Problems based on HCF and LCM
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  • Need of Integers; introduction by a pattern ; absolute value of an integer
  • Representation of integers on the number line
  • Ordering of integers using symbols < or > ;
  • Operations on integers and their properties
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  • Introduction to rational numbers ( with representation on number line)
  • Operations on rational numbers ( all operations)
  • Properties of rational numbers ( using general form of expression to describe properties e.g. a+b=b+a)
  • To understand that infinitely many rational numbers lie between any two given rational numbers
  • Simplification of Expressions involving rational numbers
  • Word problems based on rational numbers
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  • Introduction ( exponents as natural numbers and integers only)
  • Laws of exponents 

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  • Squares and Square roots
  • Square roots using both factor and division methods ( upto two decimals only )
  • Cube and cube roots
  • Cube roots ( by factor method only ) of perfect cubic number
  • Estimating square roots and cube roots
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  • Introduction to literal numbers, variable and coefficients
  • Expressions and Terms ( monomial, binomial, trinomial  etc. ) of expressions
  • Addition and subtraction of Algebraic expressions
  • Multiplication and division of algebraic expressions ( coeffecients to be integers only and exponents of coeffecients/variables to be whole number only)
  • Identities  (formulae) 
  • Factorisation ( simple cases only)
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  • Introduction to linear equations (through contextual problems)
  • Distinction between equality and equation
  • Solution of linear equations
  • Simple word problems based on linear equation
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  • Concept of ratio
  • Proportion : as equality of two ratios
  • Property of proportion ; product of means equals product of extremes
  • Mean and third propotionals of two given numbers
  • Variation - direct and inverse
  • Unitary method
  • Word problems based on unitary method and direct and inverse variations ( time , work,wages, time and distance etc.)
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  • Meaning of per cent and percentage
  • Converting fractions, decimals ratios, etc. into per cents and vice versa
  • Simple problems based on percentage ( on population , area etc.)
  • Application of per cents to profit and loss and discount - word problems
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  • Concepts of simple and compound interests
  • Related terms- Principal, Rate, Time, Amount, Interest
  • Distinction between simple and compound interest
  • Given any three of Principal, Rate, Time and Simple Interest , to calculate the fourth and the Amount
  • Arriving at the formula for compound interest through patterns
  • Calculating compound interest compounded yearly upto 3 yrs. or half-yearly upto 3 steps only
  • Word problems from everyday life ( Rate of growth , Banking etc.)
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  • Concepts of point, line, plane, line-segment and ray
  • Open and closed figures, interior and exterior of closed figures
  • Properties of lines in a plane
  • Collinear points and concurrent lines
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  • Concept of an angle, arms, vertex, measure, acute, obtuse, right, straight, reflex, zero and complete
  • Pairs of lines: intersecting, perpendicular and parallel
  • Pairs of angles : linear, complimentary, supplementary, adjacent, vertically opposite, alternate, corresponding
  • Properties of parallel lines
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  • What is a triangle
  • Types and properties of triangle
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  • Angle of a given measure with protractor, angles of 45,60,90,120 deg. with ruler and compass
  • Right bisector of a line-segment
  • Lines parallel to a given line , perpendicular to a given line from a point
  • Bisector of an angle 
  • Construction of triangles ( SSS,SAS,ASA,Right triangle)
  • Construction of quadrilaterals ( given four sides and diagonal, three sides and two diagonals,three sides and two included angles, two adjacent sides and three angles)
  • Construction of a circle given ( radius, diameter) 
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  •  Concepts of perimeter , area , volume  ( finding perimeters of various figures , rectangle , square, circle)
  • Area of square, rectangle, triangle (including Hero's formula), parallelogram, trapezium,circle)
  • Volume and surface area of cube , cuboid
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  • Draw bar graph forgiven data, interpret given bar graph
  • Find mean of ungrouped data
  • Find median of ungrouped data arranged in ascending order only having odd / even number of observations
  • Find mode ( observation having highest frequency ) of a given data
  • Draw pie charts for simple data only
  • Give feel of probability using data through experiments like tossing coins , dice etc.
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