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Aim4A Worksheets

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

Topic 1. Linear Equations

ChapterDate
1. Find the Value of x - I.
2. Find the Value of x - II.
3. Solution Set - I.
4. Solution Set - II.
5. Solving Equations - Elimination Method 1.
6. Solving Equations - Elimination Method II.
7. Solving Equations - Substitution Method I.
8. Solving Equations - Substitution Method II.
9. Dependent Equations.
10. Inconsistent Equations.
11. Solving Equations - V.
12. Quadrants.
13. Plotting of Points.
14. Graphs for Constant Coordinates.
15. Graphs for the Staright Lines y = 0 and x = 0.
16. Graph for Straight Line y = x.
17. Graph of y = x, y = 2x, y = (1/2)x and y = (1/3)x.
18. Graph of y = -x, y = -2x, y = -(1/2)x and y = -(1/3)x.
19. Y - Intercept (Using graph).
20. Y - Intercept (Problems).
21. Slope - I.
22. Slope - II.
23. Proof for Slope (X - axis and Y - axis).
24. Writting Equations in Y - intercept Form.
25. Solve the Equations Using Graphs - I.
26. Solve the Equations Using Graphs - II.
27. Linear Equations Review - I.
28. Linear Equations Review - II.
29. Linear Equations Review - III.
30. Linear Equations Review - IV.

Topic 2. Linear Inequations

ChapterDate
1. True Statement - I.
2. True Statement - II.
3. Representing Inequations on Number Line - I.
4. Representing Inequations on Number Line - II.
5. Solving Inequations - II.
6. Solving Inequations - I.
7. Solving Inequations - III.
8. Solving Inequations - IV.
9. Solving Inequations - V.
10. Solving Inequations - VI.
³3.htm>11. Graph for x ³ 3.
£-2.htm>12. Graph for y £ -2.
2.htm>13. Graph for x > 2.
5.htm>14. Graph for y > 5.
³x+3.htm>15. Graph for y ³ x + 3.
16. Graph for y < 2x+1.
17. Linear Inequalities: Solutions Using Graphing.
18. Inequation Review - I.
19. Inequation Review - II.

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 - I.
15. Factorization Review - II.

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.

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
1. Theorem: Triangle Sum Theorem.
2. Find the Angles of Triangle.
3. Theorem: Exterior Angle Theorem of a Triangle.
4. Problems on Triangles.
5. Theorem: Sum of the Exterior Angles of a Convex Polygon.
6. Theorem: Sum of the Interior Angles of a Convex Polygon.
7. Sum of the Interior Angles of a Polygon.
8. Problems on Interior Angles of a Regular Polygon - I.
9. Problems on Exterior Angles of a Regular Polygon - I.
10. Problems on Interior Angles of a Regular Polygon - II.
11. Problems on Exterior Angles of a Regular Polygon - II.
12. Problems on Interior and Exterior Angles of a Regular Polygon.
13. Congruent Triangles.
14. Properties of Parallelogram (Geometrical Proof).
15. Theorem 9 - Isosceles Triangles (Angles).
16. Theorem 10 - Isosceles Triangles (Sides).
17. Problems on Triangles - IV.
AngleOppositeLongerSideisGreaterThanAngleOppositeShorterSide.htm>18. Triangle Theorem 11
Angle Opposite Longer Side is Greater Than Angle Opposite Shorter Side		.
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. Theorem - 14 (Perpendicular Theorem).
22. Triangles And Polygons Review.
23. Triangles and Polygons Review - I.
24. Triangles and Polygons Review - II.
25. Triangles and Polygons Review - III.
26. Triangles and Polygons Review - IV.
27. Review Test.

Topic 7. Circles and Concurrent Lines in Triangles

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

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 - I.
2. Final Review - II.
3. Final Review - III.
4. Final Review - IV.
5. Final Review - V.
6. Final Review on Graphs - VI.

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