Curriculum Outline

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

1 | Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real | | |

2 | Converting Recurring Decimal into Non-Recurring Decimal - II | | |

3 | Convert Terminating Decimals into Non-Terminating Recurring Decimals | | |

4 | Equations With Decimal Coefficients - II | | |

5 | Equations With Fractional Coefficients - II | | |

6 | Solution of Simple Equations - VI | | |

7 | Solution of Simple Equations - V | | |

8 | Solution of Simple Equations - VIII | | |

9 | Word Problems - Digits | | |

10 | Speed and Distance Word Problems | | |

11 | Simple Equations Review | | |

12 | Real Numbers Word Problems | | |

13 | Real Numbers Review | | |

14 | Converting Recurring Decimal into Non-Recurring Decimal - I | | |

15 | Writing Mixed Recurring Decimal into Rational Number Form - III | | |

16 | Writing Mixed Recurring Decimal into Rational Number Form - II | | |

17 | Rational Numbers | | |

18 | Irrational Numbers | | |

19 | Real Numbers | | |

20 | Terminating Decimals | | |

21 | Non-Terminating Recurring Decimals | | |

22 | ACT/SAT Vocabulary Review Test 5 | | |

23 | Non-Terminating Recurring Decimals - III | | |

24 | Writing Pure Recurring Decimal into Rational Number Form - I | | |

25 | Writing Pure Recurring Decimal into Rational Number Form - II | | |

26 | Writing Pure Recurring Decimal into Rational Number Form - III | | |

27 | Writing Mixed Recurring Decimal into Rational Number Form - I | | |

28 | Square Root - I | | |

29 | Square Root - II | | |

30 | Real Numbers Review Test | |

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

1 | Ratio - I | | |

2 | Gain or Loss Percent Word Problems | | |

3 | Profit and Loss Word Problems - II | | |

4 | Profit and Loss Word Problems | | |

5 | Loss Percentage | | |

6 | Profit Percentage | | |

7 | Loss | | |

8 | Profit | | |

9 | Compound Proportion | | |

10 | Inverse Proportion - I | | |

11 | Direct Proportion - II | | |

12 | Direct Proportion - I | | |

13 | Proportion - II | | |

14 | Proportion - I | | |

15 | Ratio - II | | |

16 | Ratio and Proportion Review Test | |

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

1 | Geometry Formulas Summary | | |

2 | Formula - Areas For 2 Dimensional Shapes | | |

3 | Formulas - Perimeter of Two Dimensional Figures | | |

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

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

6 | Formulas - Area of Circles | | |

7 | Formulas - Area of Triangles | | |

8 | Formulas - Area of Quadrilaterals | | |

9 | Area of a Scalene Triangle using Herons Formula | | |

10 | Isosceles Right Triangle - 4 | | |

11 | Equilateral Triangle - 3 | | |

12 | Equilateral Triangle - 2 | | |

13 | Area of Equilateral Triangle | | |

14 | Equilateral Triangle | | |

15 | Area of Triangle | | |

16 | Isosceles Right Triangle | | |

17 | Right Triangle - Pythagorean Theorem | | |

18 | Isosceles Right Triangle - 3 | | |

19 | Isosceles Right Triangle - 2 | | |

20 | Area of a Square | | |

21 | Perimeter of a Square | | |

22 | Perimeter of a Rectangle | | |

23 | Area of a Rectangle | | |

24 | Parallelogram | | |

25 | Area of Quadrilateral | | |

26 | Area of Quadrilateral - 2 | | |

27 | Area of Rhombus | | |

28 | Area of Trapezoid | | |

29 | Area of the Field | | |

30 | Area of a Circle - I | | |

31 | Area of a Circle - 2 | | |

32 | Circumference of a Circle - I | | |

33 | Circumference of a Circle - II | | |

34 | Semicircle - I | | |

35 | Semicircle - II | | |

36 | Area of a Sector - II | | |

37 | Area of a Sector - I | | |

38 | Angle of a Sector | | |

39 | Perimeter of a Sector | | |

40 | Ring - I | | |

41 | Ring - II | | |

42 | Types of Triangles - Review | | |

43 | Triangles & Rectangles Review | | |

44 | Geometry Word Problems | | |

45 | Triangles & Quadrilaterals | | |

46 | Identify the Geometric Figures and Formulas | | |

47 | Square, Rectangle, and Triangle Review | | |

48 | Parallelogram, Rhombus, and Trapezium | | |

49 | Circles Review | | |

50 | Circles Review - 2 | | |

51 | Circles and Rings | | |

52 | Arcs and Sectors | | |

53 | Formulas of Geometric Figures - Review | | |

54 | Geometry Review Test | |

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

1 | Represent A^{C} in Venn Diagram | | |

2 | Properties of Intersection | | |

3 | Represent the Intersection of Sets in Venn Diagram - II | | |

4 | Intersection of Two Sets - II | | |

5 | Represent the Intersection of Sets in Venn Diagram - I | | |

6 | Intersection of Two Sets - I | | |

7 | Properties of Union | | |

8 | Represent the Union of Sets in Venn Diagram - II | | |

9 | Union of Two Sets - II | | |

10 | Set Operations - Union | | |

11 | Set Operations - Intersection | | |

12 | Set and Its Complement | | |

13 | Cartesian Product of Two Sets - III | | |

14 | Drawing Venn Diagrams | | |

15 | Relations | | |

16 | Graphical Representation of A X B | | |

17 | Representation of Cartesion Product in Diagrams - II | | |

18 | Cartesian Product of Two Sets - II | | |

19 | Representation of Cartesian Product in Diagrams - I | | |

20 | Represent the Union of Sets in Venn Diagram - I | | |

21 | Union of Two Sets - I | | |

22 | Equality of Two Sets | | |

23 | Finite and Infinite Sets | | |

24 | The Null Set or Empty Set or Void Set | | |

25 | Roster Form - II | | |

26 | Symbols Î and Ï | | |

27 | Set Builder Form | | |

28 | Roster Form - I | | |

29 | Subset | | |

30 | Comparing Sets : One - to - One Correspondence | | |

31 | Cardinal Number of a Set | | |

32 | Venn Diagrams - IV | | |

33 | Venn Diagrams - III | | |

34 | Venn Diagrams - II | | |

35 | Venn Diagrams - I | | |

36 | Disjoint Sets | | |

37 | Proper Subset | | |

38 | Set, Subset and Super set | | |

39 | Set Operations Review | | |

40 | Proof of A Ç A^{c} = Æ | | |

41 | Proof of A È A^{c} = U | | |

42 | Difference of Two Sets - I | | |

43 | Difference of Two Sets - II | | |

44 | Represent A-B and B-A in Venn Diagrams | | |

45 | A^{c}È B^{c} =(AÇB)^{c} | | |

46 | Symmetric Difference of Two sets - I | | |

47 | Cartesian Product of Two Sets - I | | |

48 | Sets Review | | |

49 | Sets - Basic Operations - Union, Intersection and Compliment | | |

50 | Sets Word Problems | | |

51 | Sets and Relations Review Test | |

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

1 | Theorem - I | | |

2 | Greatest Common Factor - (Word Problems) - I | | |

3 | Numbers - Word Problems | | |

4 | Greatest Common Factor - (Word Problems) - II | | |

5 | Greatest Common Factor - (Word Problems) - III | | |

6 | L.C.M. | | |

7 | L.C.M. - (Word Problems) | | |

8 | Relation between L.C.M. and G.C.D. | | |

9 | Finding Number of Factors | | |

10 | Relatively Prime Numbers | | |

11 | Greatest Common Factor - (Division Method) | | |

12 | Greatest Common Factor - (Prime Factorization Method) | | |

13 | Greatest Common Factor - II | | |

14 | Theorem - II | | |

15 | Classification | | |

16 | Prime Numbers | | |

17 | Composite Numbers | | |

18 | Sieve of Eratosthenes | | |

19 | Twin Primes | | |

20 | Factor and Multiple | | |

21 | Perfect Numbers | | |

22 | G.C.D. - I | | |

23 | Number Theory Review Test | |

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

1 | Multiplication Property - I | | |

2 | n^{th} Root Problems - II | | |

3 | The Power of a Quotient Property - I | | |

4 | n^{th} Root Problems - I | | |

5 | Simplification | | |

6 | Solving Equations with Exponents - II | | |

7 | Solving Equations with Exponents | | |

8 | Value of Exponent Expressions - II | | |

9 | Value of Exponent Expressions | | |

10 | The Power of a Quotient Property - III | | |

11 | The Power of a Quotient Property - II | | |

12 | The Division Property - II | | |

13 | The Division Property - I | | |

14 | The Power of Product Property - I | | |

15 | The Power of a Power Property - II | | |

16 | The Power of a Power Property - I | | |

17 | Multiplication Property - III | | |

18 | Multiplication Property - II | | |

19 | Exponents Review Test | |

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

1 | Division of Multinomial by Multinomial | | |

2 | Division of Multinomial by Binomial | | |

3 | Division of Multinomial by Monomial | | |

4 | Division of Binomial by a Monomial | | |

5 | Division of a Monomial by a Monimal - II | | |

6 | Division of a Monomial by a Monimal - I | | |

7 | Multiplication of Two Binomials - FOIL Method | | |

8 | Multiplication of Two Binomials - Using a Table | | |

9 | Multiplication of Two Binomial (Vertical or Column Method) | | |

10 | Multiplication of Two Binomials (Horizontal Method) | | |

11 | Multiplication of a Multinomial by a Monomial (Vertical Method) | | |

12 | Multiplication of a Multinomial by a Monomial (Horizontal Method) | | |

13 | Formula for (a+b)^2 - Square of a Binomial | | |

14 | Solving Problems Using Formula for (a+b)^{2} | | |

15 | Solving Problems Using Formula for (a+b)^{2} - II | | |

16 | Formula for (a-b)^{2} | | |

17 | Solving Problems Using Formula for (a-b)^{2} | | |

18 | Formula for a^{2}-b^{2 } Difference of Two Squares | | |

19 | Solving Problems Using Formula for a^{2}-b^{2} | | |

20 | Solving Problems Using Formula for (a+b)(a-b) | | |

21 | Formula for a^{3} + b^{3} | | |

22 | Formula for a^{3} - b^{3} | | |

23 | Special Products: (a+b)^{2} = a^{2}+2ab+b^{2} | | |

24 | Special Products: (a-b)^{2} = a^{2}-2ab+b^{2} | | |

25 | Special Products - Sum and Difference Pattern: (a+b)(a-b) = a^{2}-b^{2} | | |

26 | Special Products: (a+b)(a^{2}-ab+b^{2}) = a^{3}+^{3} | | |

27 | Special Products: a^{3}+^{3} = (a+b)(a^{2}-ab+b^{2} | | |

28 | Special Products: (a-b)(a^{2}+ab+b^{2}) = a^{3}-b^{3} | | |

29 | Special Products: (a+b)^{3} = a^{3}+3a^{2}b+3ab^{2}+b^{3} | | |

30 | Special Products: (a-b)^{3} = a^{3}-3a^{2}b+3ab^{2}-b^{3} | | |

31 | Special Products: (a-b)^{3} = a^{3}-3a^{2}b+3ab^{2}-b^{3} | | |

32 | Special Products: (a+b+c)^{2} = a^{2}+b^{2}+c^{2}+2ab+2bc+2ac | | |

33 | Special Products: (a+b+c) (a^{2}+b^{2}+c^{2}-ab-bc-ca) | | |

34 | Special Products: (x+a)(x+b) | | |

35 | Special Products: (ax+b)(cx+d) | | |

36 | Special Products: (x+a)(x+b)(x+c) | | |

37 | Problems - I | | |

38 | Problems - II | | |

39 | Problems - III | | |

40 | Problems - IV | | |

41 | Problems - V | | |

42 | Problems - VI | | |

43 | Problems - VII | | |

44 | Problems - VIII | | |

45 | Problems - IX | | |

46 | Problems - X | | |

47 | Solving using Formula - I | | |

48 | Solving using Formula - II | | |

49 | Solving using Formula - III | | |

50 | Formulas Review | | |

51 | Polynomials Review Test | |

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

1 | Final Review Test | |

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

1 | Discount | | |

2 | Compound Interest - III | | |

3 | Compound Interest - IV | | |

4 | Compound Interest - V | | |

5 | Partnership - I | | |

6 | Partnership - II | | |

7 | Partnership - III | | |

8 | Word Problems on Time and Work - I | | |

9 | Word Problems on Time and Work - II | | |

10 | Problems on Time and Work - III | | |

11 | Problems on Time and Distance - I | | |

12 | Problems on Time and Distance - II | | |

13 | Problems on Time and Distance - III | | |

14 | Problems on Time and Distance - IV | | |

15 | Problems on Time and Distance - V | | |

16 | Problems on Time and Distance - VI | | |

17 | Compound Interest - II | | |

18 | Compound Interest - I | | |

19 | Trade Discount - II | | |

20 | Trade Discount - III | | |

21 | Trade Discount - IV | | |

22 | Trade Discount - V | | |

23 | Trade Discount - VI | | |

24 | Word Problems on Trade Discount | | |

25 | Simple Interest - I | | |

26 | Simple Interest - II | | |

27 | Simple Interest - III | | |

28 | Simple Interest - IV | | |

29 | Simple Interest - V | | |

30 | Simple Interest - VI | | |

31 | Simple Interest - VII | | |

32 | Simple Interest - VIII | | |

33 | Word Problems on Simple Interest | | |

34 | Problems on Clock - I | | |

35 | Problems on Clock - II | | |

36 | Problems on Clock - III | | |

37 | Problems on Clock - IV | | |

38 | Word Problems - Work It | | |

39 | Word Problems on Work | | |

40 | Business Mathematics Review Test | |