### Middle/High School Algebra, Geometry, and Statistics (AGS)Topics & Worksheets

#### Topic 1. Linear Equations

ChapterDateNotes
01. Find the Value of x - I
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02. Graph for Straight Line y = x
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03. Graph of y = x, y = 2x, y = (1/2)x and y = (1/3)x
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04. Graph of y = -x, y = -2x, y = -(1/2)x and y = -(1/3)x
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05. Y - Intercept (Using graph)
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06. Y - Intercept (Problems)
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07. Slope - I
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08. Slope - II
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09. Proof for Slope (X - axis and Y - axis)
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10. Writting Equations in Y - intercept Form
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11. Solve the Equations Using Graphs - I
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12. Solve the Equations Using Graphs - II
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13. Graphs for the Staright Lines y = 0 and x = 0
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14. Graphs for Constant Coordinates
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15. Plotting of Points
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16. Find the Value of x - II
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17. Solution Set - I
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18. Solution Set - II
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19. Solving Equations - Elimination Method 1
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20. Solving Equations - Elimination Method II
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21. Solving Equations - Substitution Method I
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22. Solving Equations - Substitution Method II
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23. Dependent Equations
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24. Inconsistent Equations
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25. Solving Equations - V
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26. Quadrants
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27. Linear Equations Review Test
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#### Topic 2. Linear Inequations

ChapterDateNotes
01. True Statement
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02. Graph for y x + 3
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03. Graph for y > 5
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04. Graph for x > 2
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05. Graph for y -2
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06. Graph for x 3
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07. Solving Inequations - VI
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08. Solving Inequations - V
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09. Solving Inequations - IV
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10. Solving Inequations - III
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11. Solving Inequations - I
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12. Solving Inequations - II
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13. Representing Inequations on Number Line - II
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14. Representing Inequations on Number Line - I
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15. Graph for y < 2x+1
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16. Linear Inequalities: Solutions Using Graphing
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17. Inequation Review Test
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#### Topic 3. Factorization

ChapterDateNotes
01. Important Formulas
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02. Factorization: a3 - b3
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03. Factorization: c(a3 + b3)
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04. Factorization: a3 + b3
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05. Factorization: (a-b)3
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06. Factorization: (a+b)3
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07. Factorization: Completing the Square
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08. Factorization: (2a+b)2 - c2
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09. Factorization: a2 - b2
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10. Factorization: (a-b)2
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11. Factorization: (a+b)2 with Binomial Factors
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12. Factorization: c(a+b)2
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13. Factorization: (a+b)2
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14. Factorization Review Test
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#### Topic 4. Quadratic Equations

ChapterDateNotes
01. Quadratic Equations - I
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02. Quadratic Equations - II
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03. Factorization of any Quadratic Polynomial - I
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04. Factorization of any Quadratic Polynomial - II
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05. Factoring Quadratics with One Variable
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06. Factoring Quadratic Equations with Two Variables
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07. Quadratic Equations Review Test
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#### Topic 5. Straight Lines

ChapterDateNotes
01. Basic Geometrical Concepts - Points and Lines
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02. Basic Geometrical Concepts - Parallel Lines, Collinear Points and Plane
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03. Basic Geometrical Concepts - Coplanar Points, Coplanar Lines, Concurrent Lines and Space
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04. Parallel Rays
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05. Parallel Lines and Transversal
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06. Parallel Lines - Interior Angles are Supplementary - II
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07. Parallel Lines - Corresponding Angles
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08. Parallel Lines - Interior Angles are Supplementary - I
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09. Parallel Lines - Corresponding and Alternative Angles
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10. Theorem: Distinct Lines
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11. Stages in The Structure of a Theorem
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12. Important Points
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#### Topic 6. Triangles And Polygons

ChapterDateNotes
01. Problems on Interior Angles of a Regular Polygon - II
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02. Theorem - 12
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03. Problems on Exterior Angles of a Regular Polygon - II
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04. Problems on Interior and Exterior Angles of a Regular Polygon
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05. Congruent Triangles
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06. Properties of Parallelogram (Geometrical Proof)
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07. Theorem 9 - Isosceles Triangles (Angles)
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08. Theorem 10 - Isosceles Triangles (Sides)
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09. Problems on Triangles - IV
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10. Problems on Exterior Angles of a Regular Polygon - I
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11. Problems on Interior Angles of a Regular Polygon - I
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12. Triangle Theorem - 13
The Sum of Any Two Sides of a Triangle is Greater Than The Third Side
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13. Theorem: Triangle Sum Theorem
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14. Find the Angles of Triangle
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15. Theorem: Exterior Angle Theorem of a Triangle
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16. Problems on Triangles
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17. Theorem: Sum of the Exterior Angles of a Convex Polygon
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18. Theorem: Sum of the Interior Angles of a Convex Polygon
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19. Sum of the Interior Angles of a Polygon
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20. Triangle Theorem 11
Angle Opposite Longer Side is Greater Than Angle Opposite Shorter Side
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21. Theorem - 14 (Perpendicular Theorem)
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22. Triangles And Polygons Review
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23. Triangles and Polygons Review Test
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#### Topic 7. Circles and Concurrent Lines in Triangles

ChapterDateNotes
01. Theorem 15
Perpendicular Bisector of a Chord of Circle
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02. Construction - 4 (Incircle)
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03. Construction - 5 (Excircle)
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04. Construction - 6
Collinearity of G, S, O, I in an Isosceles Triangle
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05. Construction - 7
Coincidence of G, S, O, I in an Equilateral Triangle
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06. Construction - 8
Construction of a Triangle When Two sides and Median are given
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07. Construction - 9
Construct a Triangle When One side and Two Medians are given
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08. Construction - 10
Construct a Triangle When The Medians are Given
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09. Circles and Concurrent Lines in Triangles Review Test
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10. Theorem 23 - Angle Bisectors of a Triangle
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11. Construction - 3 (Orthocenter)
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12. Theorem 22
Altitudes of a Triangle
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13. Theorem 16
Diameter Which is Perpendicular to a Chord of a Circle
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14. Theorem 17
One and only One Circle Through Three non Colliner Points
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15. Theorem 18
Two Chords are equal in a Circle
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16. Theorem 19
Two Chords of a Circle are Equidistant
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17. Theorem 20
Medians of a Triangle
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18. Construction - I (Triangle)
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19. Theorem 21: Perpendicular Bisector
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20. Construction 2 - (Circumcircle)
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21. Circles and Concurrent Lines in Triangles - Review
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#### Topic 8. Symmetry

ChapterDateNotes
01. Line Symmetry
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02. Point Symmetry
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03. Symmetry Important Points
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04. Symmetry Review - I
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05. Symmetry Review - II
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06. Finding the Image of a Point or Line Segment
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#### Topic 9. Statistics

ChapterDateNotes
01. Introduction to Statistics
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02. Range of a Data
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03. Preparation of Frequency Table
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04. Types of Variates - Discrete
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05. Types of Variates - Continuous
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06. Inclusive and Exclusive Class Intervals
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07. Less Than Cumulative Frequency
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08. Greater Than Cumulative Frequency
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09. Classes, Tally Marks, Frequencies, Cumulative Frequencies
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10. Cumulative Frequency
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11. Forming a Frequency Table from a Cumulative Frequency Distribution
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12. Finding out Unknown Entries from the Frequency Table
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13. Graphical Representation of Statistical Data - Bar Graphs
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14. Graphical Representation of Statistical Data - Histograms
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15. Histogram
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16. Frequency Polygon
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17. Frequency Polygon - 2
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18. Frequency Polygon without Histograms
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19. Measures of Location or Measures of Central Tendency
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20. Arithmetic Mean of Discrete Values
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21. Properties of Arithmetic Mean
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22. Median of Discrete Values
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23. Partition Values for Discrete Variables (Percentiles, Quartiles and Interquartile Range)
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24. Mode
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25. Box and Whisker Plots
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26. Measure of Variation: Standard Deviation and Variance
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27. Standard Deviation - Ungrouped Data
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28. Normal or Gaussian Distributions
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29. Normal and Skewed Distributions
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30. Exponential Distributions
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31. Binomial Distributions
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#### Topic 10. Review Tests

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01. Final Review Test
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