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,
2) Proportion,
3) Percentage,
(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,
(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,
(i) Problem & Solution On Simple Interest,
(ii) Solving Problem Through Algebraic Method,
ii) EXPONENTS & INDICES
1) Introduction Of Exponents & Indices,
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
1) Addition of Decimal Numbers,
3) Ascending & Descending Order,
4) Decimal to Fraction, Division,
6) Division of Decimal Number By Decimal,
7) Decimal Numbers,
8) Division of Decimal by 10..100....1000,
10) Division of Decimal Number by Natural Number,
11) Like Decimal & Unlike Decimal,
12) Multiplication of Decimal Numbers,
13) Subtraction of Decimal Numbers,
14) Finding HCF Via Long Division Method,
v) FRACTION
3) Concept Of Equivalent Fraction,
4) Equivalent Fraction to Decimal,
5) Complex equivalent Fraction,
6) Identify Equivalent Fraction,
7) Reduction Of Fraction in Simplest Form By H.C.F,
8) Reduction Of Fraction in Simplest Form By Prime Factorization,
9) Fraction to Decimal Via Division Method,
10) Concept Of Like & Unlike Fraction,
11) Unlike Fraction to Like Fraction,
12) Proper & Improper Fraction,
13) Mix Fraction,
14) Mix Fraction to Improper Fraction,
(a) Conversion From Mix Fraction To Improper Fraction (Other Way),
15) Improper Fraction to Mix Fraction,
(a) Conversion From Improper Fraction To Mix Fraction (Other Way),
17) Addition Of Unlike Fraction,
18) Subtraction Of Unlike Fraction,
19) Addition of Like Fraction,
20) Subtraction of Like Fraction,
21) Multiplication of Fraction,
22) Division of Fraction,
23) Reciprocal or Multiplication of Inverse,
24) Conversion From Given Fraction to Equivalent Like Fraction,
vi) NUMBER SYSTEM
1) Number Line,
3) Exponents,
4) Percentage,
vii) INTEGERS
(a) Rules for Subtraction of Integers,
3) Absolute Value of an Integers,
(a) Addition Of Integers (Other Way Of Understanding),
5) Addition Of Integers On Number Line,
6) Multiplication of Integers,
9) Bodmas Rules,
10) Integers in Ascending Order,
11) Integers in Descending Order,
13) Problem & Solutions,
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,
(a) Other Way Of Understanding About 'LCM',
(i) Finding LCM By Prime Factorization Method,
(ii) Finding LCM By Repeated Division Method,
3) Relation Between HCF & LCM,
4) Reciprocal Of Multiplication Of Inverse,
(a) Prime Factorization (Other Way Of Understanding),
ix) ALGEBRA
1) Fundamental Concepts Of Algebra,
(i) Types Of Algebraic Expression,
(A) Monomial,
(a) Degree Of Monomial,
(B) Binomial,
(C) Trinomial,
(D) Polynomial,
(a) Terms Of Polynomial,
(b) Degree Of Polynomial,
(ii) Coefficient & Degree,
(iii) Coefficient Of Algebraic Term,
(iv) Finding Coefficients,
4) Algebraic Term,
5) Addition Of Algebraic Expression,
(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,
(iv) Subtraction 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,
(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,
(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,
(c) Minor & Major Arc,
(d) Angle Subtended By An Arc,
(vii) Sector Of A Circle,
(viii) Segment Of A Circle,
(ix) Construction Of A Circle By Given Radius,
5) Property construction,
(i) Types Of Angle,
(ii) Interior & Exterior Angle,
(iii) Draw Of Angle By Using Protractor,
(iv) Complementary Angle,
(v) Supplementary Angle,
(vi) Addition Of Angles,
(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,
(xiv) Adjacent Angle,
(xv) Problem & Solution Of Angle,
(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,
(vi) Construction Of 135º Angle,
(vii) Construction Of An Angle By Compass & Ruler,
(viii) Construction Of Bisector Of An Angle,
(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
(i) Perimeter,
(a) Perimeter Of Square,
(d) Perimeter Of Equilateral Triangle,
(ii) Area Of Plane Figure,
(a) Area Of Square,
(iii) Recognition of Solids,
(c) Solid Properties Of Cube & Cubiod,
(e) Identification Of Pyramid,
(g) Surface Area Of Cube,
(i) Volume Of Cuboid,
(j) Volume Of Cube,
(k) Units Of Volume,
2) Perimeter & Area,
3) Volume & Surfaces,
xii) SETS
2) Types Of Sets,
(i) Finite Set & Infinite Set,
(ii) Union Of Sets,
(iii) Intersection Of Sets,
(iv) Disjoint Of Sets,
(i) Description Method,
(ii) Roster Method Or Tabular Form,
(iii) Rule Method Or Set Builder Form,
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,
(3) Bar-Graph Problem & Solution,
(c) Pie-Chart
(1) Making Of Pie-Chart,
(3) Use Of Pie-Chart,
(4) Pie-Chart Problem & Solution,
(d) Graphs
(1) Concept Of Data Handling Through Graphs,
(4) Plotting Points Through Roman Numerals On Graph,
(6) Plotting Points By Expression On Paper,
xiv) EXERCISE
1) 6th Grade Math Worksheets,
2) Homework, etc.