Curriculum Outline

# | Chapter | Date | Notes |
---|---|---|---|

1 | Converting Sentences into Mathematical Form | | |

2 | Algebraic Expressions | | |

3 | Mathematical Statement | | |

4 | Algebraic Equations | | |

5 | Algebraic Equations and Expressions | | |

6 | Story Problem for Equation | | |

7 | Equations and Expressions | | |

8 | Solving an Equation by Guess Method | | |

9 | Solving Equations - 2 | | |

10 | Solving Equations - 3 | | |

11 | Applications of Simple Equations | | |

12 | Solving Equations | | |

13 | Basic Operations With Variables - I | | |

14 | Basic Operations With Variables - II | | |

15 | Translating Verbal Statements into Algebraic Expressions | | |

16 | Linear and Non-Linear Equations | | |

17 | Linear Equations | | |

18 | Linear Equations - 2 | | |

19 | Linear Equations - One Variable | | |

20 | Linear Equations - Two Variables | | |

21 | Linear Equations in Two Variables- Solving by the Method of Substitution | | |

22 | Linear Equations in Two Variables- Solving by the Method of Elimination | | |

23 | Linear Equation - Three Variables | | |

24 | Solve the Equations Using Graphs - I | | |

25 | Solve the Equations Using Graphs - II | | |

26 | Review I | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Arithmetic - Irrational Numbers Review - II | | |

2 | Square Root (Division Method) - II | | |

3 | Square Root (Division Method) - I | | |

4 | Problems on Square Root - III | | |

5 | Problems on Square Roots - II | | |

6 | Problems on Square Roots - I | | |

7 | Square Root (Factorization Method) | | |

8 | Radicals Review - IV | | |

9 | Radicals Review - III | | |

10 | Radicals Review - II | | |

11 | Radicals Review - I | | |

12 | Important Points in Radicals | | |

13 | Rationalize the Denominator - IV | | |

14 | Rationalize the Numerator | | |

15 | Rationalize the Denominator - III | | |

16 | Rationalize the Denominator - II | | |

17 | Rationalize the Denominator - I | | |

18 | Finding Square Roots of Decimal Fractions - I | | |

19 | Finding Square Roots of Decimal Fractions - II | | |

20 | Arithmetic - Irrational Numbers Review - I | | |

21 | Square Roots of Real Numbers Review - IV | | |

22 | Square Roots of Real Numbers Review - III | | |

23 | Square Roots of Real Numbers Review - II | | |

24 | Square Roots of Real Numbers Review - I | | |

25 | Important Points in Extraction of Square Roots of Real Numbers | | |

26 | Application of Square Root - IV | | |

27 | Application of Square Root - III | | |

28 | Application of Square Root - II | | |

29 | Application of Square Root - I | | |

30 | Finding Square Roots (Historical Method) | | |

31 | Square Roots Table | | |

32 | Finding Square Root of Common Fraction | | |

33 | Finding Square Roots of Numbers Which are not Perfect Square Numbers - II | | |

34 | Finding Square Roots of Numbers Which are not Perfect Square Numbers - I | | |

35 | Finding Square Roots of Decimal Fractions - III | | |

36 | Problems on Radicals - III | | |

37 | Problems on Radicals - II | | |

38 | Problems on Radicals - I | | |

39 | Subtraction of Radicals - II | | |

40 | Subtraction of Radicals - I | | |

41 | Addition of Radicals - III | | |

42 | Addition of Radicals - II | | |

43 | Addition of Radicals - I | | |

44 | Radicals - Descending Order | | |

45 | Radicals - Ascending Order | | |

46 | Comparing Radicals | | |

47 | Mixed Radicals or Surds | | |

48 | Pure Radicals or Surds | | |

49 | Simplifying Radicals | | |

50 | Laws of Radicals - Radicals and Exponents Combined | | |

51 | Laws of Radicals - Radical of a Radical | | |

52 | Laws of Radicals - Division of Radicals | | |

53 | Laws of Radicals - Multiplication of Radicals | | |

54 | Types of Radicals | | |

55 | Multiplication of Radicals - I | | |

56 | Multiplication of Radicals - II | | |

57 | Rationalizing Radicals Using its Conjugate | | |

58 | Conjugate Radical | | |

59 | Rationalization of Binomial Radicals - III | | |

60 | Rationalization of Binomial Radicals - II | | |

61 | Rationalization of Binomial Radicals - I | | |

62 | Rationalization of Monomial Radicals - IV | | |

63 | Rationalization of Monomial Radicals - III | | |

64 | Rationalization of Monomial Radicals - II | | |

65 | Rationalization of Monomial Radicals - I | | |

66 | Division of Radicals - I | | |

67 | Division of Radicals - II | | |

68 | Distributive Law | | |

69 | Problems on Radicals Using Formulas - I | | |

70 | Problems on Radicals Using Formulas - II | | |

71 | Problems on Radicals Using Formulas - III | | |

72 | Multiplication of Radicals - III | | |

73 | Radicals | | |

74 | Review - Radicals | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Logarithmic Form | | |

2 | Problems on Logarithms - VI | | |

3 | Problems on Logarithms - VII | | |

4 | Problems on Logarithms - VIII | | |

5 | Problems on Logarithms - IX | | |

6 | Characteristic and Mantissa of a Logarithm | | |

7 | Finding Number of Digits | | |

8 | Problems on Logarithms - X | | |

9 | Important Points in Logarithms | | |

10 | Logarithms Review - I | | |

11 | Logarithms Review - II | | |

12 | Logarithms Review - III | | |

13 | Problems on Logarithms - V | | |

14 | Prove the Statements | | |

15 | Simplifying the Logarithms - II | | |

16 | Exponential Function | | |

17 | Unity in Logarithms | | |

18 | Logarithm of a Product | | |

19 | Logarithm of a Quotient | | |

20 | Logarithm of a Power | | |

21 | Problems on Logarithms - I | | |

22 | Problems on Logarithms - II | | |

23 | Problems on Logarithms - III | | |

24 | Change of base of a Logarithm | | |

25 | Problems on Logarithms - IV | | |

26 | Simplifying the Logarithms - I | | |

27 | Logarithms Review - IV | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Geometry Formulas Summary | | |

2 | Formulas - Volumes of Three Dimensional Shapes | | |

3 | Formulas - Surface and Lateral Surface Areas of Solids | | |

4 | Lateral Surface Area of a Cube | | |

5 | Total Surface Area of a Cube | | |

6 | Lateral Surface Area of a Cuboid | | |

7 | Total Surface Area of a Cuboid | | |

8 | Volume of Cuboid | | |

9 | Word Problems on Sphere - I | | |

10 | Volume of The Sphere | | |

11 | Surface Area of a Sphere - III | | |

12 | Surface Area of a Sphere - II | | |

13 | Surface Area of a Sphere - I | | |

14 | Cone Review - II | | |

15 | Word Problems on Cone - I | | |

16 | Cone Review - I | | |

17 | Important Points on Cone | | |

18 | Word Problems on Cone - III | | |

19 | Word Problems on Cone - II | | |

20 | Word Problems on Sphere - II | | |

21 | Important Points in Sphere | | |

22 | Word Problems on Sphere - III | | |

23 | Solid Geometry Final Review - IV | | |

24 | Solid Geometry Final Review - III | | |

25 | Solid Geometry Final Review - II | | |

26 | Solid Geometry Final Review - I | | |

27 | Solid Geometry - Review | | |

28 | Total Surface Area of Hemisphere | | |

29 | Surface Area of Hemisphere | | |

30 | Review on Sphere - II | | |

31 | Review on Sphere - I | | |

32 | Volume of The Cone | | |

33 | Curved Surface Area of Cone | | |

34 | Area of Base of Cone | | |

35 | Word Problems on Cylinder - I | | |

36 | Lateral Surface Area of a Cylinder | | |

37 | Prism Review - III | | |

38 | Prism Review - II | | |

39 | Prism Review - I | | |

40 | Important Points in Prism | | |

41 | Length of the Edges of Triangular Prism | | |

42 | Volume of the Prism - IV (Hexagonal Prism) | | |

43 | Volume of The Prism - III | | |

44 | Volume of The Prism - II (Right Angled Isosceles Triangle Prism) | | |

45 | Volume of the Prism - I (Triangular Prism) | | |

46 | Total Surface Area of a Triangular Prism | | |

47 | Word Problems on Cylinder - II | | |

48 | Curved Surface Area of a Cylinder | | |

49 | Slant Height of a Cone | | |

50 | Total Surface Area of a Cone | | |

51 | Cylinder Review - II | | |

52 | Cylinder Review - I | | |

53 | Important Points in Cylinder | | |

54 | Total Surface Area of a Cylinder - I | | |

55 | Curved Surface Area of a Cylinder - I | | |

56 | Radius of The Cylinder | | |

57 | Volume of the Cylinder - III | | |

58 | Volume of the Cylinder - II | | |

59 | Volume of the Cylinder - I | | |

60 | Total Surface Area of a Cylinder | | |

61 | Lateral Surface Area of a Triangular Prism | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Revision of Algebraic Expressions - I | | |

2 | Revision of Algebraic Expressions - II | | |

3 | Revision of Algebraic Expressions - III | | |

4 | Revision of Algebraic Expressions - IV | | |

5 | Revision of Algebraic Expressions - V | | |

6 | Revision of Algebraic Expressions - VI | | |

7 | Important Points | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Square Root of Monomials - Perfect Squares | | |

2 | Reciprocal Equation | | |

3 | Solving Quadratic Equation by Using Quadratic Formula | | |

4 | Relation Between Roots and Coefficients of a Quadratic Equation | | |

5 | Forming a Quadratic Equation Using Its Roots | | |

6 | Nature of the Roots of a Quadratic Equation | | |

7 | Problems on Roots | | |

8 | Square Roots and Algebraic Expressions Review | | |

9 | Square Roots of Algebraic Expressions Review - I | | |

10 | Solving Equations Reducible to Quadratic Form | | |

11 | Solving Quadratic Equations by Method of Factorization | | |

12 | Method of Finding Square Roots - Inspection Method | | |

13 | Finding Square Root by Division Method | | |

14 | Finding Square Root of The Method of Undetermined Coefficient | | |

15 | Problems on Square Root - I | | |

16 | Problems on Square Roots - II | | |

17 | Problems on Square Roots - III | | |

18 | Homogeneous Expressions | | |

19 | Symmetric and Cyclic Expressions | | |

20 | Square Roots of Algebraic Expressions Review - II | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Union of Sets | | |

2 | Intersection of Sets | | |

3 | Problems on Sets | | |

4 | Prove The Given Statements | | |

5 | Difference of Two Sets | | |

6 | Complement of Sets | | |

7 | Problems on Sets Using Diagrams - I | | |

8 | Problems on Sets Using Diagrams - II | | |

9 | Important Points in Sets | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Cartesian Product of Sets | | |

2 | Relations and Functions | | |

3 | Types of Relations - Reflexive, Symmetric, Anti-Symmetric, Transitive, and Equivalance | | |

4 | Types of Relations - One-to-One, One-to-Many, Many-to-One and Many-to-Many | | |

5 | Inverse Relation or Inverse Functions | | |

6 | Domain and Range of a Relation using Diagrams | | |

7 | Domain and Range of a Relation | | |

8 | Problems on Relations | | |

9 | Cartesian Product With Diagrams | | |

10 | Important Points in Relations | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | General Concepts - Coordinate Geometry or Cartesian C or Analytical Geometry | | |

2 | Coordinate Plane - Quadrants | | |

3 | Problems: Find the value of x and y | | |

4 | Slope - I | | |

5 | Slope - II | | |

6 | Slope - III | | |

7 | Parallel Line - Slope | | |

8 | Distance Between Two Points | | |

9 | Mid Point of the Segment Joining Two Points | | |

10 | The Point Slope Form of a Line | | |

11 | Intercept Form of a Line | | |

12 | The Two Points Form of A Line | | |

13 | Parallel Lines & Perpendicular Lines - Slope | | |

14 | The Slope - Intercept Form of a Line | | |

15 | Problems on Slope | | |

16 | Coordinate Geometry - Review | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Finding The Value of X | | |

2 | Solve Absolute Value Inequalities | | |

3 | Solve Absolute Value Equations | | |

4 | Linear equations and inequation Review - II | | |

5 | Linear Equations and inequation Review - I | | |

6 | Solving Inequations Using Graphical Method | | |

7 | Solving Inequations | | |

8 | Representing Inequation on Number Line | | |

9 | Solving Equations Using Graphical Method | | |

10 | Solving Equations | | |

11 | Absolute Value Inequalities - 2 | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Matrix and Order of a Matrix | | |

2 | Subtraction of Matrices | | |

3 | Distributive Law in Matrices (Addition) | | |

4 | Multiplication of Matrices - I | | |

5 | Multiplication of Matrices - II | | |

6 | Multiplication of Matrices - III | | |

7 | Properties of Matrices in Multiplication | | |

8 | Multiplication Distributes Over Addition | | |

9 | Important Points in Matrices | | |

10 | Scalar Product of Matrix | | |

11 | Symmetric Matrix and Skew Symmetric Matrix | | |

12 | Square Matrix and Rectangular Matrix | | |

13 | Row Matrix, Column Matrix and Null Matrix | | |

14 | Principal Diagonal of a Square Matrix, Scalar Matrix and Identity Matrix | | |

15 | Transpose of a Matrix | | |

16 | Equality of Two Matrices | | |

17 | Matrices Addition - I (Commutative) | | |

18 | Matrices Addition - II (Associative) | | |

19 | Identity Matrix in Addition and Additive Inverse | | |

20 | Matrices Review | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Final Review - II | | |

2 | Construction Review - I | | |

3 | Brahma Guptha's Theorem | | |

4 | Review - VII | | |

5 | Review - VI | | |

6 | Review - V | | |

7 | Important Points in Circles | | |

8 | Theorem - XXVI | | |

9 | Theorem - XXV | | |

10 | Theorem - XXIV | | |

11 | Theorems - XX_XXI_XXII_XXIII | | |

12 | Theorem - XIX | | |

13 | Theorem - XVIII | | |

14 | Theorem - XVII | | |

15 | Construction of Triangle - I | | |

16 | Construction of Triangle - II | | |

17 | Final Review - I | | |

18 | Construction Review - II | | |

19 | Solve The Problems Using Theorems - VI | | |

20 | Construction of Triangle - XII | | |

21 | Construction of Triangle - XI | | |

22 | Construction of Triangle - X | | |

23 | Construction of Triangle - IX | | |

24 | Construction of Triangle - VIII | | |

25 | Construction of Triangle - VII | | |

26 | Construction of Triangle - VI | | |

27 | Construction of Triangle - V | | |

28 | Construction of Triangle - IV | | |

29 | Construction of Triangle - III | | |

30 | Theorem - XVI | | |

31 | Theorem - XV - Circles | | |

32 | Review - IV | | |

33 | Concurrency Theorems | | |

34 | Theorem - V | | |

35 | Theorem - IV | | |

36 | Introduction to Locus | | |

37 | Review - III | | |

38 | Review - II | | |

39 | Review - I | | |

40 | Solve The Problems Using Theorems - II | | |

41 | Theorem - III | | |

42 | Theorem - II | | |

43 | Theorem - I | | |

44 | Solve The Problems Using Theorems - I | | |

45 | Problem Using Picture | | |

46 | Important Points - Locus | | |

47 | Solve The Problems Using Theorems - III | | |

48 | Important Points - Areas | | |

49 | Solve The Problems Using Theorems - IV | | |

50 | Find The Area of The Given Figure | | |

51 | Theorem - XIV | | |

52 | Theorem - XIII | | |

53 | Theorem - XII | | |

54 | Theorem - XI | | |

55 | Theorem - X | | |

56 | Theorem - IX | | |

57 | Theorem - VIII | | |

58 | Theorem - VII | | |

59 | Theorem - VI | | |

60 | Areas Introduction | | |

61 | Quadrilaterals - Review | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Reflection Mapping, Finding the Reflection Image of a Point in a Line | | |

2 | Fixed Lines, Reflection Images of Parallel Lines, Collinearity and Betweenness | | |

3 | Reflections | | |

4 | Translation | | |

5 | Rotation | | |

6 | Dilation | | |

7 | Trasformations Review - Reflection, Rotation, Translation and Dilation | | |

8 | Transformations Review - II | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Range of a Data | | |

2 | Introduction to Statistics | | |

3 | Preparation of Frequency Table | | |

4 | Types of Variates - Discrete | | |

5 | Types of Variates - Continuous | | |

6 | Inclusive and Exclusive Class Intervals | | |

7 | Less Than Cumulative Frequency | | |

8 | Greater Than Cumulative Frequency | | |

9 | Classes, Tally Marks, Frequencies, Cumulative Frequencies | | |

10 | Cumulative Frequency | | |

11 | Forming a Frequency Table from a Cumulative Frequency Distribution | | |

12 | Finding out Unknown Entries from the Frequency Table | | |

13 | Graphical Representation of Statistical Data - Bar Graphs | | |

14 | Graphical Representation of Statistical Data - Histograms | | |

15 | Histogram | | |

16 | Frequency Polygon | | |

17 | Frequency Polygon - 2 | | |

18 | Frequency Polygon without Histograms | | |

19 | Measures of Location or Measures of Central Tendency | | |

20 | Arithmetic Mean of Discrete Values | | |

21 | Properties of Arithmetic Mean | | |

22 | Median of Discrete Values | | |

23 | Partition Values for Discrete Variables (Percentiles, Quartiles and Interquartile Range) | | |

24 | Mode | |

# | Chapter | Date | Notes |
---|---|---|---|

1 | Final Review - I | | |

2 | Final Review - II | | |

3 | Final Review - III | | |

4 | Final Review - IV | | |

5 | Final Review - V | | |

6 | Final Review - VI | |