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

Topic 1. Linear Equations

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

Topic 2. Linear Inequations

ChapterDateNotes
01. Graph for y ³ x + 3
02. Graph for y > 5
03. Graph for x > 2
04. Graph for y £ -2
05. Graph for x ³ 3
06. Solving Inequations - VI
07. Solving Inequations - V
08. Solving Inequations - IV
09. Solving Inequations - III
10. Solving Inequations - I
11. Solving Inequations - II
12. Representing Inequations on Number Line - II
13. Representing Inequations on Number Line - I
14. True Statement
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: (a+b)2
03. Factorization: c(a+b)2
04. Factorization: (a+b)2 with Binomial Factors
05. Factorization: (a-b)2
06. Factorization: a2 - b2
07. Factorization: (2a+b)2 - c2
08. Factorization: Completing the Square
09. Factorization: (a+b)3
10. Factorization: (a-b)3
11. Factorization: a3 + b3
12. Factorization: c(a3 + b3)
13. Factorization: a3 - b3
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. Important Points
05. Stages in The Structure of a Theorem
06. Theorem: Distinct Lines
07. Parallel Lines - Corresponding and Alternative Angles
08. Parallel Lines - Interior Angles are Supplementary - I
09. Parallel Lines - Corresponding Angles
10. Parallel Lines - Interior Angles are Supplementary - II
11. Parallel Lines and Transversal
12. Parallel Rays

Topic 6. Triangles And Polygons

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

Topic 7. Circles and Concurrent Lines in Triangles

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

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