Worksheets

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

Topic 1. Linear Equations

ChapterDate
1. Linear Equations Review Test.
2. Solve the Equations Using Graphs - II.
3. Solve the Equations Using Graphs - I.
4. Writting Equations in Y - intercept Form.
5. Proof for Slope (X - axis and Y - axis).
6. Slope - II.
7. Slope - I.
8. Y - Intercept (Problems).
9. 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

ChapterDate
³x+3.htm>1. Graph for y ³ x + 3.
5.htm>2. Graph for y > 5.
2.htm>3. Graph for x > 2.
£-2.htm>4. Graph for y £ -2.
³3.htm>5. Graph for x ³ 3.
6. Solving Inequations - VI.
7. Solving Inequations - V.
8. Solving Inequations - IV.
9. 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

ChapterDate
1. Important Formulas.
2.htm>2. Factorization: (a+b)2.
2.htm>3. Factorization: c(a+b)2.
2withBinomialFactors.htm>4. Factorization: (a+b)2 with Binomial Factors.
2.htm>5. Factorization: (a-b)2.
2-b2.htm>6. Factorization: a2 - b2.
2-c2.htm>7. Factorization: (2a+b)2 - c2.
8. Factorization: Completing the Square.
3.htm>9. Factorization: (a+b)3.
3.htm>10. Factorization: (a-b)3.
3+b3.htm>11. Factorization: a3 + b3.
3+b3).htm>12. Factorization: c(a3 + b3).
3-b3.htm>13. Factorization: a3 - b3.
14. Factorization Review Test.

Topic 4. Quadratic Equations

ChapterDate
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.

Topic 5. Straight Lines

ChapterDate
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. Important Points.
5. Stages in The Structure of a Theorem.
6. Theorem: Distinct Lines.
7. Parallel Lines - Corresponding and Alternative Angles.
8. Parallel Lines - Interior Angles are Supplementary - I.
9. 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

ChapterDate
AngleOppositeLongerSideisGreaterThanAngleOppositeShorterSide.htm>1. Triangle Theorem 11
Angle Opposite Longer Side is Greater Than Angle Opposite Shorter Side		.
2. Problems on Triangles - IV.
3. Theorem 10 - Isosceles Triangles (Sides).
4. Theorem 9 - Isosceles Triangles (Angles).
5. Properties of Parallelogram (Geometrical Proof).
6. Congruent Triangles.
7. Problems on Interior and Exterior Angles of a Regular Polygon.
8. Problems on Exterior Angles of a Regular Polygon - II.
9. 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.
TheSumofAnyTwoSidesofaTriangleisGreaterThanTheThirdSide.htm>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

ChapterDate
1. Circles and Concurrent Lines in Triangles - Review.
2. Circles and Concurrent Lines in Triangles Review Test.
ConstructaTriangleWhenTheMediansareGiven.htm>3. Construction - 10
Construct a Triangle When The Medians are Given		.
ConstructaTriangleWhenOnesideandTwoMediansaregiven.htm>4. Construction - 9
Construct a Triangle When One side and Two Medians are given		.
ConstructionofaTriangleWhenTwosidesandMedianaregiven.htm>5. Construction - 8
Construction of a Triangle When Two sides and Median are given		.
CoincidenceofG,S,O,IinanEquilateralTriangle.htm>6. Construction - 7
Coincidence of G, S, O, I in an Equilateral Triangle		.
CollinearityofG,S,O,IinanIsoscelesTriangle.htm>7. Construction - 6
Collinearity of G, S, O, I in an Isosceles Triangle		.
8. Construction - 5 (Excircle).
9. Construction - 4 (Incircle).
10. Theorem 23 - Angle Bisectors of a Triangle.
11. Construction - 3 (Orthocenter).
AltitudesofaTriangle.htm>12. Theorem 22
Altitudes of a Triangle		.
13. Construction 2 - (Circumcircle).
14. Theorem 21: Perpendicular Bisector.
15. Construction - I (Triangle).
MediansofaTriangle.htm>16. Theorem 20
Medians of a Triangle		.
TwoChordsofaCircleareEquidistant.htm>17. Theorem 19
Two Chords of a Circle are Equidistant		.
TwoChordsareequalinaCircle.htm>18. Theorem 18
Two Chords are equal in a Circle		.
OneandonlyOneCircleThroughThreenonCollinerPoints.htm>19. Theorem 17
One and only One Circle Through Three non Colliner Points		.
DiameterWhichisPerpendiculartoaChordofaCircle.htm>20. Theorem 16
Diameter Which is Perpendicular to a Chord of a Circle		.
PerpendicularBisectorofaChordofCircle.htm>21. Theorem 15
Perpendicular Bisector of a Chord of Circle		.

Topic 8. Symmetry

ChapterDate
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.

Topic 9. Statistics

ChapterDate
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.

Topic 10. Review Tests

ChapterDate
1. Final Review Test.