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Aim4A Worksheets

High School Mathematics

Topic 1. Algebra Basics

ChapterDate
1. Converting Sentences into Mathematical Form.
2. Algebraic Expressions.
3. Mathematical Statement.
4. Algebraic Equations.
5. Algebraic Equations and Expressions.
6. Equations and Expressions.
7. Story Problem for Equation.
8. Solving an Equation by Guess Method.
9. Solving Equations - 2.
10. Solving Equations - 3.
11. Applications of Simple Equations.
12. Solving Equations.
13. Basic Operations With Variables - I.
14. Basic Operations With Variables - II.
15. Translating Verbal Statements into Algebraic Expressions.
16. Linear and Non-Linear Equations.
17. Linear Equations.
18. Linear Equations - 2.
19. Linear Equations - One Variable.
20. Linear Equations - Two Variables.
21. Linear Equations in Two Variables- Solving by the Method of Substitution.
22. Linear Equations in Two Variables- Solving by the Method of Elimination.
23. Linear Equation - Three Variables.
24. Solve the Equations Using Graphs - I.
25. Solve the Equations Using Graphs - II.
26. Review I.

Topic 2. Arithmetic - Irrational Numbers

ChapterDate
1. Radicals.
2. Types of Radicals.
3. Laws of Radicals - Multiplication of Radicals.
4. Laws of Radicals - Division of Radicals.
5. Laws of Radicals - Radical of a Radical.
6. Laws of Radicals - Radicals and Exponents Combined.
7. Simplifying Radicals.
8. Pure Radicals or Surds.
9. Mixed Radicals or Surds.
10. Comparing Radicals.
11. Radicals - Ascending Order.
12. Radicals - Descending Order.
13. Addition of Radicals - I.
14. Addition of Radicals - II.
15. Addition of Radicals - III.
16. Subtraction of Radicals - I.
17. Subtraction of Radicals - II.
18. Multiplication of Radicals - I.
19. Multiplication of Radicals - II.
20. Division of Radicals - I.
21. Division of Radicals - II.
22. Distributive Law.
23. Problems on Radicals Using Formulas - I.
24. Problems on Radicals Using Formulas - II.
25. Problems on Radicals Using Formulas - III.
26. Multiplication of Radicals - III.
27. Rationalization of Monomial Radicals - I.
28. Rationalization of Monomial Radicals - II.
29. Rationalization of Monomial Radicals - III.
30. Rationalization of Monomial Radicals - IV.
31. Rationalization of Binomial Radicals - I.
32. Rationalization of Binomial Radicals - II.
33. Rationalization of Binomial Radicals - III.
34. Conjugate Radical.
35. Rationalizing Radicals Using its Conjugate.
36. Problems on Radicals - I.
37. Problems on Radicals - II.
38. Problems on Radicals - III.
39. Rationalize the Denominator - I.
40. Rationalize the Denominator - II.
41. Rationalize the Denominator - III.
42. Rationalize the Numerator.
43. Rationalize the Denominator - IV.
44. Important Points in Radicals.
45. Radicals Review - I.
46. Radicals Review - II.
47. Radicals Review - III.
48. Radicals Review - IV.
49. Square Root (Factorization Method).
50. Problems on Square Roots - I.
51. Problems on Square Roots - II.
52. Problems on Square Root - III.
53. Square Root (Division Method) - I.
54. Square Root (Division Method) - II.
55. Finding Square Roots of Decimal Fractions - I.
56. Finding Square Roots of Decimal Fractions - II.
57. Finding Square Roots of Decimal Fractions - III.
58. Finding Square Roots of Numbers Which are not Perfect Square Numbers - I.
59. Finding Square Roots of Numbers Which are not Perfect Square Numbers - II.
60. Finding Square Root of Common Fraction.
61. Square Roots Table.
62. Finding Square Roots (Historical Method).
63. Application of Square Root - I.
64. Application of Square Root - II.
65. Application of Square Root - III.
66. Application of Square Root - IV.
67. Important Points in Extraction of Square Roots of Real Numbers.
68. Square Roots of Real Numbers Review - I.
69. Square Roots of Real Numbers Review - II.
70. Square Roots of Real Numbers Review - III.
71. Square Roots of Real Numbers Review - IV.
72. Arithmetic - Irrational Numbers Review - I.
73. Arithmetic - Irrational Numbers Review - II.
74. Review - Radicals.

Topic 3. Introduction to Logarithms

ChapterDate
1. Logarithmic Form.
2. Exponential Function.
3. Unity in Logarithms.
4. Logarithm of a Product.
5. Logarithm of a Quotient.
6. Logarithm of a Power.
7. Problems on Logarithms - I.
8. Problems on Logarithms - II.
9. Problems on Logarithms - III.
10. Change of base of a Logarithm.
11. Problems on Logarithms - IV.
12. Simplifying the Logarithms - I.
13. Simplifying the Logarithms - II.
14. Prove the Statements.
15. Problems on Logarithms - V.
16. Problems on Logarithms - VI.
17. Problems on Logarithms - VII.
18. Problems on Logarithms - VIII.
19. Problems on Logarithms - IX.
20. Characteristic and Mantissa of a Logarithm.
21. Finding Number of Digits.
22. Problems on Logarithms - X.
23. Important Points in Logarithms.
24. Logarithms Review - I.
25. Logarithms Review - II.
26. Logarithms Review - III.
27. Logarithms Review - IV.

Topic 4. Solid Geometry - Surface Area and Volumes of Solids

ChapterDate
1. Geometry Formulas Summary.
2. Formulas - Surface and Lateral Surface Areas of Solids.
3. Formulas - Volumes of Three Dimensional Shapes.
4. Lateral Surface Area of a Cube.
5. Total Surface Area of a Cube.
6. Lateral Surface Area of a Cuboid.
7. Total Surface Area of a Cuboid.
8. Volume of Cuboid.
9. Length of the Edges of Triangular Prism.
10. Lateral Surface Area of a Triangular Prism.
11. Total Surface Area of a Triangular Prism.
12. Volume of the Prism - I (Triangular Prism).
13. Volume of The Prism - II (Right Angled Isosceles Triangle Prism).
14. Volume of The Prism - III.
15. Volume of the Prism - IV (Hexagonal Prism).
16. Important Points in Prism.
17. Prism Review - I.
18. Prism Review - II.
19. Prism Review - III.
20. Lateral Surface Area of a Cylinder.
21. Word Problems on Cylinder - I.
22. Word Problems on Cylinder - II.
23. Curved Surface Area of a Cylinder.
24. Total Surface Area of a Cylinder.
25. Volume of the Cylinder - I.
26. Volume of the Cylinder - II.
27. Volume of the Cylinder - III.
28. Radius of The Cylinder.
29. Curved Surface Area of a Cylinder - I.
30. Total Surface Area of a Cylinder - I.
31. Important Points in Cylinder.
32. Cylinder Review - I.
33. Cylinder Review - II.
34. Total Surface Area of a Cone.
35. Slant Height of a Cone.
36. Area of Base of Cone.
37. Curved Surface Area of Cone.
38. Volume of The Cone.
39. Word Problems on Cone - I.
40. Word Problems on Cone - II.
41. Word Problems on Cone - III.
42. Important Points on Cone.
43. Cone Review - I.
44. Cone Review - II.
45. Surface Area of a Sphere - I.
46. Surface Area of a Sphere - II.
47. Surface Area of a Sphere - III.
48. Volume of The Sphere.
49. Word Problems on Sphere - I.
50. Word Problems on Sphere - II.
51. Word Problems on Sphere - III.
52. Important Points in Sphere.
53. Review on Sphere - I.
54. Review on Sphere - II.
55. Surface Area of Hemisphere.
56. Total Surface Area of Hemisphere.
57. Solid Geometry - Review.
58. Solid Geometry Final Review - I.
59. Solid Geometry Final Review - II.
60. Solid Geometry Final Review - III.
61. Solid Geometry Final Review - IV.

Topic 5. Revision of Exponents and Algebraic Expressions

ChapterDate
1. Revision of Algebraic Expressions - I.
2. Revision of Algebraic Expressions - II.
3. Revision of Algebraic Expressions - III.
4. Revision of Algebraic Expressions - IV.
5. Revision of Algebraic Expressions - V.
6. Revision of Algebraic Expressions - VI.
7. Important Points.

Topic 6. Quadratic Expressions - Square Roots of Algebraic Expressions

ChapterDate
1. Square Root of Monomials - Perfect Squares.
2. Method of Finding Square Roots - Inspection Method.
3. Finding Square Root by Division Method.
4. Finding Square Root of The Method of Undetermined Coefficient.
5. Problems on Square Root - I.
6. Problems on Square Roots - II.
7. Problems on Square Roots - III.
8. Homogeneous Expressions.
9. Symmetric and Cyclic Expressions.
10. Solving Quadratic Equations by Method of Factorization.
11. Solving Equations Reducible to Quadratic Form.
12. Reciprocal Equation.
13. Solving Quadratic Equation by Using Quadratic Formula.
14. Relation Between Roots and Coefficients of a Quadratic Equation.
15. Forming a Quadratic Equation Using Its Roots.
16. Nature of the Roots of a Quadratic Equation.
17. Problems on Roots.
18. Square Roots and Algebraic Expressions Review.
19. Square Roots of Algebraic Expressions Review - I.
20. Square Roots of Algebraic Expressions Review - II.

Topic 7. Sets

ChapterDate
1. Union of Sets.
2. Intersection of Sets.
3. Problems on Sets.
4. Prove The Given Statements.
5. Difference of Two Sets.
6. Complement of Sets.
7. Problems on Sets Using Diagrams - I.
8. Problems on Sets Using Diagrams - II.
9. Important Points in Sets.

Topic 8. Relations

ChapterDate
1. Cartesian Product of Sets.
2. Cartesian Product With Diagrams.
3. Problems on Relations.
4. Domain and Range of a Relation.
5. Domain and Range of a Relation using Diagrams.
6. Inverse Relation or Inverse Functions.
7. Types of Relations - One-to-One, One-to-Many, Many-to-One and Many-to-Many.
8. Types of Relations - Reflexive, Symmetric, Anti-Symmetric, Transitive, and Equivalance.
9. Relations and Functions.
10. Important Points in Relations.

Topic 9. Linear Equations and Inequations

ChapterDate
1. Finding The Value of X.
2. Solving Equations.
3. Solving Equations Using Graphical Method.
4. Representing Inequation on Number Line.
5. Solving Inequations.
6. Solving Inequations Using Graphical Method.
7. Linear Equations and inequation Review - I.
8. Linear equations and inequation Review - II.
9. Solve Absolute Value Equations.
10. Solve Absolute Value Inequalities.
11. Absolute Value Inequalities - 2.

Topic 10. Coordinate Geometry

ChapterDate
1. General Concepts - Coordinate Geometry or Cartesian C or Analytical Geometry.
2. Coordinate Plane - Quadrants.
3. Problems: Find the value of x and y.
4. Slope - I.
5. Slope - II.
6. Slope - III.
7. Parallel Line - Slope.
8. Distance Between Two Points.
9. Mid Point of the Segment Joining Two Points.
10. The Point Slope Form of a Line.
11. Intercept Form of a Line.
12. The Two Points Form of A Line.
13. Parallel Lines & Perpendicular Lines - Slope.
14. The Slope - Intercept Form of a Line.
15. Problems on Slope.
16. Coordinate Geometry - Review.

Topic 11. Matrices

ChapterDate
1. Matrix and Order of a Matrix.
2. Square Matrix and Rectangular Matrix.
3. Row Matrix, Column Matrix and Null Matrix.
4. Principal Diagonal of a Square Matrix, Scalar Matrix and Identity Matrix.
5. Transpose of a Matrix.
6. Equality of Two Matrices.
7. Matrices Addition - I (Commutative).
8. Matrices Addition - II (Associative).
9. Identity Matrix in Addition and Additive Inverse.
10. Symmetric Matrix and Skew Symmetric Matrix.
11. Scalar Product of Matrix.
12. Subtraction of Matrices.
13. Distributive Law in Matrices (Addition).
14. Multiplication of Matrices - I.
15. Multiplication of Matrices - II.
16. Multiplication of Matrices - III.
17. Properties of Matrices in Multiplication.
18. Multiplication Distributes Over Addition.
19. Important Points in Matrices.
20. Matrices Review.

Topic 12. Geometry

ChapterDate
1. Quadrilaterals - Review.
2. Problem Using Picture.
3. Solve The Problems Using Theorems - I.
4. Theorem - I.
5. Theorem - II.
6. Theorem - III.
7. Solve The Problems Using Theorems - II.
8. Review - I.
9. Review - II.
10. Review - III.
11. Introduction to Locus.
12. Theorem - IV.
13. Theorem - V.
14. Concurrency Theorems.
15. Important Points - Locus.
16. Solve The Problems Using Theorems - III.
17. Areas Introduction.
18. Theorem - VI.
19. Theorem - VII.
20. Theorem - VIII.
21. Theorem - IX.
22. Theorem - X.
23. Theorem - XI.
24. Theorem - XII.
25. Theorem - XIII.
26. Theorem - XIV.
27. Find The Area of The Given Figure.
28. Solve The Problems Using Theorems - IV.
29. Important Points - Areas.
30. Review - IV.
31. Theorem - XV - Circles.
32. Theorem - XVI.
33. Theorem - XVII.
34. Theorem - XVIII.
35. Theorem - XIX.
36. Theorems - XX_XXI_XXII_XXIII.
37. Theorem - XXIV.
38. Theorem - XXV.
39. Theorem - XXVI.
40. Important Points in Circles.
41. Review - V.
42. Review - VI.
43. Review - VII.
44. Brahma Guptha's Theorem.
45. Construction Review - I.
46. Construction of Triangle - I.
47. Construction of Triangle - II.
48. Construction of Triangle - III.
49. Construction of Triangle - IV.
50. Construction of Triangle - V.
51. Construction of Triangle - VI.
52. Construction of Triangle - VII.
53. Construction of Triangle - VIII.
54. Construction of Triangle - IX.
55. Construction of Triangle - X.
56. Construction of Triangle - XI.
57. Construction of Triangle - XII.
58. Solve The Problems Using Theorems - VI.
59. Construction Review - II.
60. Final Review - I.
61. Final Review - II.

Topic 13. Trasformation Geometry

ChapterDate
1. Reflection Mapping, Finding the Reflection Image of a Point in a Line.
2. Fixed Lines, Reflection Images of Parallel Lines, Collinearity and Betweenness.
3. Reflections.
4. Translation.
5. Rotation.
6. Dilation.
7. Trasformations Review - Reflection, Rotation, Translation and Dilation.
8. Transformations Review - II.

Topic 14. Statistics

ChapterDate
1. Range of a Data.
2. Introduction to Statistics.
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.

Topic 15. 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 - VI.
7. High School Math Placement Test 1.
8. High School Math Placement Test 2.
9. High School Math Placement Test 3.
10. High School Math Placement Test 4.
11. High School Math Placement Test 5.

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