Curriculum Outline

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

1 | Find the Value of x - I | | |

2 | Graph for Straight Line y = x | | |

3 | Graph of y = x, y = 2x, y = (1/2)x and y = (1/3)x | | |

4 | Graph of y = -x, y = -2x, y = -(1/2)x and y = -(1/3)x | | |

5 | Y - Intercept (Using graph) | | |

6 | Y - Intercept (Problems) | | |

7 | Slope - I | | |

8 | Slope - II | | |

9 | Proof for Slope (X - axis and Y - axis) | | |

10 | Writting Equations in Y - intercept Form | | |

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

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

13 | Graphs for the Staright Lines y = 0 and x = 0 | | |

14 | Graphs for Constant Coordinates | | |

15 | Plotting of Points | | |

16 | Find the Value of x - II | | |

17 | Solution Set - I | | |

18 | Solution Set - II | | |

19 | Solving Equations - Elimination Method 1 | | |

20 | Solving Equations - Elimination Method II | | |

21 | Solving Equations - Substitution Method I | | |

22 | Solving Equations - Substitution Method II | | |

23 | Dependent Equations | | |

24 | Inconsistent Equations | | |

25 | Solving Equations - V | | |

26 | Quadrants | | |

27 | Linear Equations Review Test | |

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

1 | True Statement | | |

2 | Graph for y ³ x + 3 | | |

3 | Graph for y > 5 | | |

4 | Graph for x > 2 | | |

5 | Graph for y £ -2 | | |

6 | Graph for x ³ 3 | | |

7 | Solving Inequations - VI | | |

8 | Solving Inequations - V | | |

9 | Solving Inequations - IV | | |

10 | Solving Inequations - III | | |

11 | Solving Inequations - I | | |

12 | Solving Inequations - II | | |

13 | Representing Inequations on Number Line - II | | |

14 | Representing Inequations on Number Line - I | | |

15 | Graph for y < 2x+1 | | |

16 | Linear Inequalities: Solutions Using Graphing | | |

17 | Inequation Review Test | |

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

1 | Important Formulas | | |

2 | Factorization: a^{3} - b^{3} | | |

3 | Factorization: c(a^{3} + b^{3}) | | |

4 | Factorization: a^{3} + b^{3} | | |

5 | Factorization: (a-b)^{3} | | |

6 | Factorization: (a+b)^{3} | | |

7 | Factorization: Completing the Square | | |

8 | Factorization: (2a+b)^{2} - c^{2} | | |

9 | Factorization: a^{2} - b^{2} | | |

10 | Factorization: (a-b)^{2} | | |

11 | Factorization: (a+b)^{2} with Binomial Factors | | |

12 | Factorization: c(a+b)^{2} | | |

13 | Factorization: (a+b)^{2} | | |

14 | Factorization Review Test | |

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

1 | Quadratic Equations - I | | |

2 | Quadratic Equations - II | | |

3 | Factorization of any Quadratic Polynomial - I | | |

4 | Factorization of any Quadratic Polynomial - II | | |

5 | Factoring Quadratics with One Variable | | |

6 | Factoring Quadratic Equations with Two Variables | | |

7 | Quadratic Equations Review Test | |

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

1 | Basic Geometrical Concepts - Points and Lines | | |

2 | Basic Geometrical Concepts - Parallel Lines, Collinear Points and Plane | | |

3 | Basic Geometrical Concepts - Coplanar Points, Coplanar Lines, Concurrent Lines and Space | | |

4 | Parallel Rays | | |

5 | Parallel Lines and Transversal | | |

6 | Parallel Lines - Interior Angles are Supplementary - II | | |

7 | Parallel Lines - Corresponding Angles | | |

8 | Parallel Lines - Interior Angles are Supplementary - I | | |

9 | Parallel Lines - Corresponding and Alternative Angles | | |

10 | Theorem: Distinct Lines | | |

11 | Stages in The Structure of a Theorem | | |

12 | Important Points | |

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

1 | Problems on Interior Angles of a Regular Polygon - II | | |

2 | Theorem - 12 | | |

3 | Problems on Exterior Angles of a Regular Polygon - II | | |

4 | Problems on Interior and Exterior Angles of a Regular Polygon | | |

5 | Congruent Triangles | | |

6 | Properties of Parallelogram (Geometrical Proof) | | |

7 | Theorem 9 - Isosceles Triangles (Angles) | | |

8 | Theorem 10 - Isosceles Triangles (Sides) | | |

9 | Problems on Triangles - IV | | |

10 | Problems on Exterior Angles of a Regular Polygon - I | | |

11 | Problems on Interior Angles of a Regular Polygon - I | | |

12 | Triangle Theorem - 13 The Sum of Any Two Sides of a Triangle is Greater Than The Third Side | | |

13 | Theorem: Triangle Sum Theorem | | |

14 | Find the Angles of Triangle | | |

15 | Theorem: Exterior Angle Theorem of a Triangle | | |

16 | Problems on Triangles | | |

17 | Theorem: Sum of the Exterior Angles of a Convex Polygon | | |

18 | Theorem: Sum of the Interior Angles of a Convex Polygon | | |

19 | Sum of the Interior Angles of a Polygon | | |

20 | Triangle Theorem 11 Angle Opposite Longer Side is Greater Than Angle Opposite Shorter Side | | |

21 | Theorem - 14 (Perpendicular Theorem) | | |

22 | Triangles And Polygons Review | | |

23 | Triangles and Polygons Review Test | |

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

1 | Theorem 15 Perpendicular Bisector of a Chord of Circle | | |

2 | Construction - 4 (Incircle) | | |

3 | Construction - 5 (Excircle) | | |

4 | Construction - 6 Collinearity of G, S, O, I in an Isosceles Triangle | | |

5 | Construction - 7 Coincidence of G, S, O, I in an Equilateral Triangle | | |

6 | Construction - 8 Construction of a Triangle When Two sides and Median are given | | |

7 | Construction - 9 Construct a Triangle When One side and Two Medians are given | | |

8 | Construction - 10 Construct a Triangle When The Medians are Given | | |

9 | Circles and Concurrent Lines in Triangles Review Test | | |

10 | Theorem 23 - Angle Bisectors of a Triangle | | |

11 | Construction - 3 (Orthocenter) | | |

12 | Theorem 22 Altitudes of a Triangle | | |

13 | Theorem 16 Diameter Which is Perpendicular to a Chord of a Circle | | |

14 | Theorem 17 One and only One Circle Through Three non Colliner Points | | |

15 | Theorem 18 Two Chords are equal in a Circle | | |

16 | Theorem 19 Two Chords of a Circle are Equidistant | | |

17 | Theorem 20 Medians of a Triangle | | |

18 | Construction - I (Triangle) | | |

19 | Theorem 21: Perpendicular Bisector | | |

20 | Construction 2 - (Circumcircle) | | |

21 | Circles and Concurrent Lines in Triangles - Review | |

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

1 | Line Symmetry | | |

2 | Point Symmetry | | |

3 | Symmetry Important Points | | |

4 | Symmetry Review - I | | |

5 | Symmetry Review - II | | |

6 | Finding the Image of a Point or Line Segment | |

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

1 | Introduction to Statistics | | |

2 | Range of a Data | | |

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 | | |

25 | Box and Whisker Plots | | |

26 | Measure of Variation: Standard Deviation and Variance | | |

27 | Standard Deviation - Ungrouped Data | | |

28 | Normal or Gaussian Distributions | | |

29 | Normal and Skewed Distributions | | |

30 | Exponential Distributions | | |

31 | Binomial Distributions | |

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

1 | Final Review Test | |