AIM Academics - Math, Science, English, ACT, SAT

AIM Academics & AIM4A Tutoring/Test Prep

Level A8 - Mathematics
Curriculum Outline

Topic 1. Review of Real Numbers

#	Chapter	Date	Notes
1	Real Numbers Review
2	Real Numbers Word Problems
3	Simple Equations Review
4	Speed and Distance Word Problems
5	Word Problems - Digits
6	Solution of Simple Equations - VIII
7	Solution of Simple Equations - V
8	Solution of Simple Equations - VI
9	Equations With Fractional Coefficients - II
10	Equations With Decimal Coefficients - II
11	Convert Terminating Decimals into Non-Terminating Recurring Decimals
12	Converting Recurring Decimal into Non-Recurring Decimal - II
13	Converting Recurring Decimal into Non-Recurring Decimal - I
14	Writing Mixed Recurring Decimal into Rational Number Form - III
15	Writing Mixed Recurring Decimal into Rational Number Form - II
16	Writing Mixed Recurring Decimal into Rational Number Form - I
17	Writing Pure Recurring Decimal into Rational Number Form - III
18	Writing Pure Recurring Decimal into Rational Number Form - II
19	Writing Pure Recurring Decimal into Rational Number Form - I
20	Non-Terminating Recurring Decimals - III
21	ACT/SAT Vocabulary Review Test 5
22	Non-Terminating Recurring Decimals
23	Terminating Decimals
24	Real Numbers
25	Irrational Numbers
26	Rational Numbers
27	Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real
28	Square Root - I
29	Square Root - II
30	Real Numbers Review Test

Topic 2. Ratios and Proportions

#	Chapter	Date	Notes
1	Ratio - I
2	Ratio - II
3	Proportion - I
4	Proportion - II
5	Direct Proportion - I
6	Direct Proportion - II
7	Inverse Proportion - I
8	Compound Proportion
9	Profit
10	Loss
11	Profit Percentage
12	Loss Percentage
13	Profit and Loss Word Problems
14	Profit and Loss Word Problems - II
15	Gain or Loss Percent Word Problems
16	Ratio and Proportion Review Test

Topic 3. Geometry

#	Chapter	Date	Notes
1	Geometry Formulas Summary
2	Formula - Areas For 2 Dimensional Shapes
3	Formulas - Perimeter of Two Dimensional Figures
4	Formulas - Surface and Lateral Surface Areas of Solids
5	Formulas - Volumes of Three Dimensional Shapes
6	Formulas - Area of Circles
7	Formulas - Area of Triangles
8	Formulas - Area of Quadrilaterals
9	Area of Triangle
10	Area of a Scalene Triangle using Herons Formula
11	Right Triangle - Pythagorean Theorem
12	Isosceles Right Triangle
13	Isosceles Right Triangle - 2
14	Isosceles Right Triangle - 3
15	Equilateral Triangle
16	Area of Equilateral Triangle
17	Equilateral Triangle - 2
18	Equilateral Triangle - 3
19	Isosceles Right Triangle - 4
20	Area of a Square
21	Perimeter of a Square
22	Perimeter of a Rectangle
23	Area of a Rectangle
24	Parallelogram
25	Area of Quadrilateral
26	Area of Quadrilateral - 2
27	Area of Rhombus
28	Area of Trapezoid
29	Area of the Field
30	Area of a Circle - I
31	Area of a Circle - 2
32	Circumference of a Circle - I
33	Circumference of a Circle - II
34	Semicircle - I
35	Semicircle - II
36	Area of a Sector - I
37	Area of a Sector - II
38	Perimeter of a Sector
39	Angle of a Sector
40	Ring - I
41	Ring - II
42	Types of Triangles - Review
43	Triangles & Rectangles Review
44	Geometry Word Problems
45	Triangles & Quadrilaterals
46	Identify the Geometric Figures and Formulas
47	Square, Rectangle, and Triangle Review
48	Parallelogram, Rhombus, and Trapezium
49	Circles Review
50	Circles Review - 2
51	Circles and Rings
52	Arcs and Sectors
53	Formulas of Geometric Figures - Review
54	Geometry Review Test

Topic 4. Sets and Relations

#	Chapter	Date	Notes
1	Represent the Union of Sets in Venn Diagram - I
2	Union of Two Sets - II
3	Represent the Union of Sets in Venn Diagram - II
4	Properties of Union
5	Intersection of Two Sets - I
6	Represent the Intersection of Sets in Venn Diagram - I
7	Intersection of Two Sets - II
8	Represent the Intersection of Sets in Venn Diagram - II
9	Properties of Intersection
10	Set Operations - Union
11	Set Operations - Intersection
12	Representation of Cartesian Product in Diagrams - I
13	Cartesian Product of Two Sets - II
14	Representation of Cartesion Product in Diagrams - II
15	Graphical Representation of A X B
16	Relations
17	Drawing Venn Diagrams
18	Cartesian Product of Two Sets - III
19	Set and Its Complement
20	Represent A^C in Venn Diagram
21	Set Builder Form
22	Symbols Î and Ï
23	Roster Form - II
24	The Null Set or Empty Set or Void Set
25	Finite and Infinite Sets
26	Equality of Two Sets
27	Roster Form - I
28	Comparing Sets : One - to - One Correspondence
29	Cardinal Number of a Set
30	Set, Subset and Super set
31	Subset
32	Proper Subset
33	Disjoint Sets
34	Venn Diagrams - I
35	Venn Diagrams - II
36	Venn Diagrams - III
37	Venn Diagrams - IV
38	Union of Two Sets - I
39	Set Operations Review
40	Proof of A Ç A^c = Æ
41	Proof of A È A^c = U
42	Difference of Two Sets - I
43	Difference of Two Sets - II
44	Represent A-B and B-A in Venn Diagrams
45	A^cÈ B^c =(AÇB)^c
46	Symmetric Difference of Two sets - I
47	Cartesian Product of Two Sets - I
48	Sets Review
49	Sets - Basic Operations - Union, Intersection and Compliment
50	Sets Word Problems
51	Sets and Relations Review Test

Topic 5. Elementary Number Theory

#	Chapter	Date	Notes
1	Number Theory Review Test
2	Relatively Prime Numbers
3	Finding Number of Factors
4	Relation between L.C.M. and G.C.D.
5	L.C.M. - (Word Problems)
6	L.C.M.
7	Greatest Common Factor - (Word Problems) - III
8	Greatest Common Factor - (Word Problems) - II
9	Numbers - Word Problems
10	Greatest Common Factor - (Word Problems) - I
11	Greatest Common Factor - (Division Method)
12	Greatest Common Factor - (Prime Factorization Method)
13	Greatest Common Factor - II
14	G.C.D. - I
15	Perfect Numbers
16	Factor and Multiple
17	Twin Primes
18	Sieve of Eratosthenes
19	Composite Numbers
20	Prime Numbers
21	Classification
22	Theorem - II
23	Theorem - I

Topic 6. Exponents

#	Chapter	Date	Notes
1	Exponents Review Test
2	n^th Root Problems - II
3	The Power of a Quotient Property - I
4	n^th Root Problems - I
5	Simplification
6	Solving Equations with Exponents - II
7	Solving Equations with Exponents
8	Value of Exponent Expressions - II
9	Value of Exponent Expressions
10	The Power of a Quotient Property - III
11	The Power of a Quotient Property - II
12	The Division Property - II
13	The Division Property - I
14	The Power of Product Property - I
15	The Power of a Power Property - II
16	The Power of a Power Property - I
17	Multiplication Property - III
18	Multiplication Property - II
19	Multiplication Property - I

Topic 7. Polynomials

#	Chapter	Date	Notes
1	Division of Multinomial by Multinomial
2	Multiplication of a Multinomial by a Monomial (Horizontal Method)
3	Multiplication of a Multinomial by a Monomial (Vertical Method)
4	Multiplication of Two Binomials (Horizontal Method)
5	Multiplication of Two Binomial (Vertical or Column Method)
6	Multiplication of Two Binomials - Using a Table
7	Multiplication of Two Binomials - FOIL Method
8	Division of a Monomial by a Monimal - I
9	Division of a Monomial by a Monimal - II
10	Division of Binomial by a Monomial
11	Division of Multinomial by Monomial
12	Division of Multinomial by Binomial
13	Formula for (a+b)^2 - Square of a Binomial
14	Solving Problems Using Formula for (a+b)²
15	Solving Problems Using Formula for (a+b)² - II
16	Formula for (a-b)²
17	Solving Problems Using Formula for (a-b)²
18	Formula for a²-b² Difference of Two Squares
19	Solving Problems Using Formula for a²-b²
20	Solving Problems Using Formula for (a+b)(a-b)
21	Formula for a³ + b³
22	Formula for a³ - b³
23	Special Products: (a+b)² = a²+2ab+b²
24	Special Products: (a-b)² = a²-2ab+b²
25	Special Products - Sum and Difference Pattern: (a+b)(a-b) = a²-b²
26	Special Products: (a+b)(a²-ab+b²) = a³+b³
27	Special Products: a³+b³ = (a+b)(a²-ab+b²
28	Special Products: (a-b)(a²+ab+b²) = a³-b³
29	Special Products: (a+b)³ = a³+3a²b+3ab²+b³
30	Special Products: (a-b)³ = a³-3a²b+3ab²-b³
31	Special Products: (a-b)³ = a³-3a²b+3ab²-b³
32	Special Products: (a+b+c)² = a²+b²+c²+2ab+2bc+2ac
33	Special Products: (a+b+c) (a²+b²+c²-ab-bc-ca)
34	Special Products: (x+a)(x+b)
35	Special Products: (ax+b)(cx+d)
36	Special Products: (x+a)(x+b)(x+c)
37	Problems - I
38	Problems - II
39	Problems - III
40	Problems - IV
41	Problems - V
42	Problems - VI
43	Problems - VII
44	Problems - VIII
45	Problems - IX
46	Problems - X
47	Solving using Formula - I
48	Solving using Formula - II
49	Solving using Formula - III
50	Formulas Review
51	Polynomials Review Test

Topic 8. Review Tests

#	Chapter	Date	Notes
1	Final Review Test

Topic 9. Business Mathematics

#	Chapter	Date	Notes
1	Problems on Time and Distance - VI
2	Problems on Time and Distance - V
3	Problems on Time and Distance - IV
4	Problems on Time and Distance - III
5	Problems on Time and Distance - II
6	Problems on Time and Distance - I
7	Problems on Time and Work - III
8	Word Problems on Time and Work - II
9	Word Problems on Time and Work - I
10	Partnership - III
11	Partnership - II
12	Partnership - I
13	Compound Interest - V
14	Compound Interest - IV
15	Compound Interest - III
16	Compound Interest - II
17	Discount
18	Trade Discount - II
19	Trade Discount - III
20	Trade Discount - IV
21	Trade Discount - V
22	Trade Discount - VI
23	Word Problems on Trade Discount
24	Simple Interest - I
25	Simple Interest - II
26	Simple Interest - III
27	Simple Interest - IV
28	Simple Interest - V
29	Simple Interest - VI
30	Simple Interest - VII
31	Simple Interest - VIII
32	Word Problems on Simple Interest
33	Compound Interest - I
34	Problems on Clock - I
35	Problems on Clock - II
36	Problems on Clock - III
37	Problems on Clock - IV
38	Word Problems - Work It
39	Word Problems on Work
40	Business Mathematics Review Test

AIM Academics & AIM4A Tutoring/Test Prep

Level A8 - MathematicsCurriculum Outline

Topic 1. Review of Real Numbers

Level A8 - Mathematics
Curriculum Outline