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High School Mathematics
Curriculum Outline

Topic 1. Algebra Basics

#	Chapter	Date	Notes
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

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

Topic 3. Introduction to Logarithms

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

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

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

Topic 5. Revision of Exponents and Algebraic Expressions

#	Chapter	Date	Notes
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

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

Topic 7. Sets

#	Chapter	Date	Notes
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

#	Chapter	Date	Notes
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

#	Chapter	Date	Notes
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

#	Chapter	Date	Notes
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

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

Topic 12. Geometry

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

Topic 13. Trasformation Geometry

#	Chapter	Date	Notes
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

#	Chapter	Date	Notes
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

#	Chapter	Date	Notes
1	Final Review - I
2	Final Review - II
3	Final Review - III
4	Final Review - IV
5	Final Review - V
6	Final Review - VI

AIM Academics & AIM4A Tutoring/Test Prep

High School MathematicsCurriculum Outline

Topic 1. Algebra Basics

High School Mathematics
Curriculum Outline