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

Topic 1. Linear Equations

ChapterDateNotes
01. Find the Value of x - I
   
   
02. Graph for Straight Line y = x
   
   
03. Graph of y = x, y = 2x, y = (1/2)x and y = (1/3)x
   
   
04. Graph of y = -x, y = -2x, y = -(1/2)x and y = -(1/3)x
   
   
05. Y - Intercept (Using graph)
   
   
06. Y - Intercept (Problems)
   
   
07. Slope - I
   
   
08. Slope - II
   
   
09. 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
   
   

Topic 2. Linear Inequations

ChapterDateNotes
01. True Statement
   
   
02. Graph for y x + 3
   
   
03. Graph for y > 5
   
   
04. Graph for x > 2
   
   
05. Graph for y -2
   
   
06. Graph for x 3
   
   
07. Solving Inequations - VI
   
   
08. Solving Inequations - V
   
   
09. 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
   
   

Topic 3. Factorization

ChapterDateNotes
01. Important Formulas
   
   
02. Factorization: a3 - b3
   
   
03. Factorization: c(a3 + b3)
   
   
04. Factorization: a3 + b3
   
   
05. Factorization: (a-b)3
   
   
06. Factorization: (a+b)3
   
   
07. Factorization: Completing the Square
   
   
08. Factorization: (2a+b)2 - c2
   
   
09. Factorization: a2 - b2
   
   
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
   
   

Topic 4. Quadratic Equations

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

Topic 5. Straight Lines

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

Topic 6. Triangles And Polygons

ChapterDateNotes
01. Problems on Interior Angles of a Regular Polygon - II
   
   
02. Theorem - 12
   
   
03. Problems on Exterior Angles of a Regular Polygon - II
   
   
04. Problems on Interior and Exterior Angles of a Regular Polygon
   
   
05. Congruent Triangles
   
   
06. Properties of Parallelogram (Geometrical Proof)
   
   
07. Theorem 9 - Isosceles Triangles (Angles)
   
   
08. Theorem 10 - Isosceles Triangles (Sides)
   
   
09. 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
   
   

Topic 7. Circles and Concurrent Lines in Triangles

ChapterDateNotes
01. Theorem 15
Perpendicular Bisector of a Chord of Circle
   
   
02. Construction - 4 (Incircle)
   
   
03. Construction - 5 (Excircle)
   
   
04. Construction - 6
Collinearity of G, S, O, I in an Isosceles Triangle
   
   
05. Construction - 7
Coincidence of G, S, O, I in an Equilateral Triangle
   
   
06. Construction - 8
Construction of a Triangle When Two sides and Median are given
   
   
07. Construction - 9
Construct a Triangle When One side and Two Medians are given
   
   
08. Construction - 10
Construct a Triangle When The Medians are Given
   
   
09. 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
   
   

Topic 8. Symmetry

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

Topic 9. Statistics

ChapterDateNotes
01. Introduction to Statistics
   
   
02. Range of a Data
   
   
03. Preparation of Frequency Table
   
   
04. Types of Variates - Discrete
   
   
05. Types of Variates - Continuous
   
   
06. Inclusive and Exclusive Class Intervals
   
   
07. Less Than Cumulative Frequency
   
   
08. Greater Than Cumulative Frequency
   
   
09. 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
   
   

Topic 10. Review Tests

ChapterDateNotes
01. Final Review Test