Unit 1 |
Natural numbers, Whole numbers |
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Unit 2 |
Integers (Positive and Negative integers) |
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Unit 3 |
Addition, Subtraction, Multiplication and Division of integers |
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Unit 4 |
Properties of numbers (Associative, Commutative, Distributive, Multiplicative and Additive identity) |
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Unit 5 |
Definition and examples of Rational number |
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Unit 6 |
Positive and Negative rational numbers |
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Unit 7 |
Properties of rational numbers |
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Unit 8 |
Equivalent rational numbers |
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Unit 9 |
Standard form of a rational number |
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Unit 10 |
Representation of rational numbers on real line |
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Unit 11 |
Comparison of rational numbers |
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Unit 12 |
Addition, subtraction and multiplication of rational numbers |
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Unit 13 |
Reciprocal or multiplicative inverse of a rational number |
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Unit 1 |
Definition of fraction |
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Unit 2 |
Various types of fractions |
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Unit 3 |
Conversion of unlike fraction to like fraction |
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Unit 4 |
Comparison of more than two fractions |
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Unit 5 |
Addition and subtraction of fractions |
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Unit 6 |
Multiplication and division of fractions |
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Unit 7 |
Reciprocal of a fraction |
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Unit 1 |
Decimal places |
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Unit 2 |
Like and unlike decimal |
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Unit 3 |
Conversion of a decimal into a fraction |
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Unit 4 |
Conversion of a fraction into a decimal |
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Unit 5 |
Addition and subtraction of decimals |
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Unit 6 |
Multiplication and division of decimals |
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Unit 1 |
Linear equations |
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Unit 2 |
Solution of a linear equation |
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Unit 3 |
Problems based on linear equations |
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Unit 1 |
Constructions |
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Unit 1 |
Definition of line |
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Unit 2 |
Parallel and perpendicular lines |
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Unit 3 |
Transversal |
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Unit 4 |
Supplementary and complementary angles |
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Unit 5 |
Linear pair of angles |
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Unit 6 |
Various types of angles (Adjacent, vertically opposite and Alternate angles) |
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Unit 1 |
Definition of triangle |
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Unit 2 |
Various types of triangles (On the basis of their sides and angles both) |
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Unit 3 |
Angle sum property of a triangle |
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Unit 4 |
Exterior and interior opposite angles |
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Unit 5 |
Triangle inequality |
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Unit 6 |
Pythagoras theorem |
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Unit 7 |
Converse of Pythagoras theorem |
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Unit 8 |
Pythagorean triplets |
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Unit 9 |
Congruent figures |
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Unit 10 |
Congruence triangles |
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Unit 11 |
Types of congruence conditions (SAS, SSS, ASA and RHS congruence condition) |
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Unit 1 |
Ratio and terms of ratio |
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Unit 2 |
Ratio in simplest form |
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Unit 3 |
Definition of proportion |
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Unit 4 |
Problems on the property- product of extremes = product of means |
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Unit 5 |
Continued proportion |
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Unit 6 |
Direct variation |
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Unit 7 |
Inverse variation |
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Unit 1 |
Constant and Variables |
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Unit 2 |
Algebraic expression |
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Unit 3 |
Various types of algebraic expression |
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Unit 4 |
Like and unlike terms |
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Unit 5 |
Addition and subtraction of algebraic expressions |
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Unit 6 |
Multiplication of algebraic expressions (Up to two binomials) |
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Unit 1 |
Exponential form |
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Unit 2 |
Laws of exponents |
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Unit 3 |
Reciprocal of a rational number |
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Unit 4 |
Power |
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Unit 5 |
Expressing large numbers in standard form |
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Unit 6 |
Square root |
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Unit 1 |
Areas of rectilinear figures |
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Unit 2 |
Rectilinear and closed figure |
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Unit 3 |
Perimeter and area |
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Unit 4 |
Standard units of area |
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Unit 5 |
Formulae |
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Unit 6 |
Area and perimeter of a rectangle |
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Unit 7 |
Area and perimeter of a square |
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Unit 8 |
Area of parallelogram and rhombus |
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Unit 9 |
Area of triangles |
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Unit 10 |
Circumference and area of circle |
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Unit 1 |
Collection and organization of data |
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Unit 2 |
Mean of ungrouped and tabulated data |
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Unit 3 |
Mode of ungrouped data |
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Unit 4 |
Median of ungrouped data and discrete series |
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Unit 5 |
Bar graphs |
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Unit 6 |
Probability |
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Unit 1 |
Reflection symmetry |
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Unit 2 |
Rotational symmetry |
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Unit 1 |
Three dimensional shapes |
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Unit 2 |
Definition of solid |
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Unit 3 |
Definition and properties of cube, cuboid, cylinder, cone and sphere |
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Unit 1 |
To convert a fraction into a percentage |
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Unit 2 |
To convert a percentage into a fraction |
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Unit 3 |
To convert a given ratio into a percentage |
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Unit 4 |
To convert a given percentage in decimal form |
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Unit 5 |
To convert a given decimal into percentage |
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Unit 1 |
Profit and loss |
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Unit 2 |
Terms related to profit and loss (CP, SP, Profit and Loss) |
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Unit 3 |
To find SP when CP and gain% or loss% are given |
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Unit 4 |
To find CP when SP and gain% or loss% are given |
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Unit 5 |
Simple interest |
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Unit 6 |
Terms related to simple interest |
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Unit 7 |
Problems on simple interest |
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