6th Grade Math ( CLASS-6 )

In continuation of Nursery to 5th Grade Math, 6th Grade Math actually consist of more than a basic level math which will definitely help you to build the foundation for higher grade math. Here we have tried to learn math step by step, showing very easy simplified process with very logical way. In every stages of math we have tried to develop your concept about math with preparation for higher level math. So, here you will learn 6th Grade Math step by step. Entire module or syllabus of th Grade Maths are given below -

i) ARITHMETIC PROBLEM

1) Ratio,

(a) Definition Of Ratio,

(b) Way To Express Ratio,

(b) Comparison Of Ratio,

(c) Difference Between Fraction & Ratio,

(d) Ratio & Proportion,

(i) Difference Between Proportion & Ratio,

(e) To Divide a Quantity in a Given Ratio,

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(a) Percentage (Another way of understanding),

(i) Finding Percentage when Whole Number is not 100,

(ii) Converting Percentage Into Fraction,

(iii) Converting Fraction Into Percentage,

(iv) Converting Percentage Into Ratio,

(v) Converting Ratio Into Percentage,

(vi) Converting Percentage Into Decimal,

(vii) Converting Decimal Into Percentage,

(viii) Finding Percentage Of Given Quantity,

(ix) Expressing One Quantity As A Percentage Of Another Quantity,

(x) Finding Increased Percentage,

(xi) Finding Decreased Percentage,

(xii) Use Of Percentage (More Calculation With Examples),

4) Natural Numbers,

5) Introduction Of Profit & Loss,

(a) Concept Of Profit,

(i) Calculation Of Profit,

(ii) Finding Percentage Of Profit,

(b) Concept Of Loss,

(i) Calculation Of Loss,

(ii) Finding Percentage Of Loss,

6) Whole Numbers

7) Rules for Fundamental Operation of Whole Number,

8) Simple Interest (SI),

(i) Problem & Solution On Simple Interest,

(ii) Solving Problem Through Algebraic Method,

ii) EXPONENTS & INDICES

1) Introduction Of Exponents & Indices,

2) EXPONENTS,

3) Laws Of Exponents & Indices,

4) Power & Roots,

iii) SQUARE ROOTS & CUBE ROOTS

1) Introduction Of Square Roots & Cube Roots,

(a) Finding Square Roots,

(b) Finding Cube Roots,

iv) DECIMAL NUMBERS

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, Division,

5) Mix-Fraction to Decimal

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7) Decimal Numbers

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10) Division of Decimal Number by Natural Number

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14) Finding HCF Via Long Division Method

v) FRACTION

1) Concept Of Fraction,

2) Types Of Fraction,

3) Concept Of Equivalent Fraction,

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9) Fraction to Decimal Via Division Method

10) Concept Of Like & Unlike Fraction,

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13) Mix Fraction,

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(a) Conversion From Mix Fraction To Improper Fraction (Other Way),

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(a) Conversion From Improper Fraction To Mix Fraction (Other Way),

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24) Conversion From Given Fraction to Equivalent Like Fraction,

vi) NUMBER SYSTEM

1) Number Line,

2) Factors & Multiples,

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4) Percentage

vii) INTEGERS

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3) Subtraction Of Integers,

(aRules for Subtraction of Integers

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(a) Addition Of Integers (Other Way Of Understanding),

5) Addition Of Integers On Number Line

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14) Integers in Signed Numbers,

15) Successor & Predecessor of Integers,

viii) FACTORS

1) HCF,

(a) Other Way Of Understanding About 'HCF',

(i) Finding HCF By Prime Factorization Method,

(ii) Finding HCF By Division Method,

2) LCM,

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4) Reciprocal Of Multiplication Of Inverse,

5) Prime Factorization,

(a) Prime Factorization (Other Way Of Understanding),

6) Factors & Multiples,

ix) ALGEBRA

1) Fundamental Concepts Of Algebra,

2) Concept Of variable,

3) Algebraic Expression,

(A) Monomial,

(a) Degree Of Monomial,

(B) Binomial,

(C) Trinomial,

(DPolynomial,

(a) Terms Of Polynomial,

(bDegree Of Polynomial,

(ii) Coefficient & Degree,

(iii) Coefficient Of Algebraic Term,

(iv) Finding Coefficients,

4) Algebraic Term,

(i) Addition Of Algebraic Expression of Like Term,

(ii) Addition Of Algebraic Expression Of Unlike Term,

(a) Addition Of Unlike Term With Same Variable Different Power,

6) Subtraction Of Algebraic Expression,

(i) Subtraction Of Algebraic Expression Of Like Term,

(ii) Subtraction Of Algebraic Expression Of Unlike Term,

(iii) Subtraction Of Algebraic Expression Via Column Method,

(ivSubtraction Of Algebraic Expression Via Horizontal Method,

(v) Problem & Solution On Subtraction,

7) Multiplication Of Algebraic Expression,

(i) Multiplication Of Monomial By Monomial,

(ii) Multiplication Of Polynomial By Monomial,

(iii) Multiplication Of Binomial By Binomial,

(iv) Multiplication Of Polynomial By Polynomial,

(v) Multiplication Of Binomial By Trinomial,

8) Division Of Algebraic Expression,

(i) Division Of Monomial By Monomial,

(ii) Division Of Polynomial By Monomial,

(iii) Division Of Polynomial By Polynomial,

9) Linear Equation,

(i) Solving System Of Linear Equation,

(ii) Solving Linear Equation - One Variable,

(iii) Rules Of Transposition,

10) Substitution,

11) Fundamental Operation,

12) Simple Equations,

x) GEOMETRY

1) Fundamental Concept Of Geometry,

(i) Point Of Concurrency,

(ii) Collinearity Of Points,

(iii) Collinear & Non-Collinear Points,

2) Types Of Lines,

(i) Parallel Lines,

(ii) Perpendicular Lines,

(iii) Intersecting Lines,

(iv) Types Of Angle Formed By Parallel Lines Cut By Transversal,

(v) Transversals,

(a) Transversal Angles,

(b) Corresponding Angles,

(c) Alternate Interior Angles,

(d) Alternate Exterior Angles,

(e) Vertically Opposite Angles,

(f) Linear Pair Of Angles,

(g) Internal & External Angles,

3)  Triangle - Introduction,

(i) Properties of Triangle,

(ii) Types Of Triangle,

(a) Acute Triangle,

(b) Right Triangle,

(c) Obtuse Triangle,

(d) Scalene Triangle,

(e) Isosceles Triangle,

(f) Equilateral Triangle,

(iii) Construction Of Triangle,

4) Circle - Introduction,

(i) Definition Of Circle,

(ii) Circle - Interior & Exterior,

(iii) Diameter, Radius, and Chord Of Circle,

(iv) Secant Of A Circle,

(v) Tangent To A Circle,

(vi) Arc Of A Circle,

(a) Circumference Of A Circle,

(b) Semicircle Of A Circle,

(c) Minor & Major Arc,

(vii) Sector Of A Circle,

(viiiSegment Of A Circle,

(ix) Construction Of A Circle By Given Radius,

5) Property construction,

6) Angle - Introduction,

(i) Types Of Angle,

(ii) Interior & Exterior Angle,

(iii) Draw Of Angle By Using Protractor,

(iv) Complementary Angle,

(v) Supplementary Angle,

(vii) Subtraction Of Angles,

(ix) Measurement Of An Angle,

(x) Angles At A Point,

(xi) Properties Of Vertically Opposite Angle,

(xii) Perpendicular Lines & Bisector Of Line Segment,

(xiii) Bisector Of An Angle,

(xv) Problem & Solution Of Angle,

7) Construction Of Angles,

(i) Construction Of 30º Angle,

(ii) Construction Of 45º Angle,

(iii) Construction Of 60º Angle,

(iv) Construction Of 90º Angle,

(v) Construction Of 120º Angle,

(vii) Construction Of An Angle By Compass & Ruler,

(ix) Construction Of Perpendicular Bisector Of A Line Segment,

(x) Construction Of Perpendicular To Line At Point On Line,

(xi) Construction Of Perpendicular To A Line From A Point Outside The Line,

xi) MENSURATION

1) Concept Of Mensuration,

(i) Perimeter,

(a) Perimeter Of Square,

(b) Perimeter Of Rectangle,

(c) Perimeter Of Triangle,

(ii) Area Of Plane Figure,

(a) Area Of Square,

(iiiRecognition of Solids,

(a) Identification Of Cuboid,

(b) Identification Of Cube,

(cSolid Properties Of Cube & Cubiod,

(d) Identification Of Prism,

(e) Identification Of Pyramid,

(g) Surface Area Of Cube,

(h) Units Of Surface Area,

(i) Volume Of Cuboid,

(jVolume Of Cube,

(k) Units Of Volume,

2) Perimeter & Area,

3) Volume & Surfaces,

xii) SETS

1) Introduction Of Sets,

2) Types Of Sets,

(i) Finite Set & Infinite Set,

(ii) Union Of Sets,

(iii) Intersection Of Sets,

(iv) Disjoint Of Sets,

3) Presentation Of Set,

(i) Description Method,

(ii) Roster Method Or Tabular Form,

(iii) Rule Method Or Set Builder Form,

4) Cardinal Number Of Sets,

5) Problem & Solution Of Set,

xiii) DATA HANDLING

(a) Pictograph,

(1) Making Of Pictograph,

(2) Presentation Of Pictograph,

(3) Pictograph - Problem & Solution,

(b) Bar-Graph

(1) Making Of Bar-Graph,

(2) Bar-Graph Interpretation,

(3) Bar-Graph Problem & Solution,

(c) Pie-Chart

(1) Making Of Pie-Chart,

(2) Formulae Of Pie-Chart,

(3) Use Of Pie-Chart,

(4) Pie-Chart Problem & Solution,

(d) Graphs

(1) Concept Of Data Handling Through Graphs,

(2) Graphing Number Lines,

(3) Plotting Points On Graph,

(4) Plotting Points Through Roman Numerals On Graph,

(6) Plotting Points By Expression On Paper,

xiv) EXERCISE