AIM Academics & AIM4A Tutoring/Test Prep

Level A8 - Mathematics
Curriculum Outline

Topic 1. Review of Real Numbers

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

Topic 2. Ratios and Proportions

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

Topic 3. Geometry

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

Topic 4. Sets and Relations

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

Topic 5. Elementary Number Theory

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

Topic 6. Exponents

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

Topic 7. Polynomials

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

Topic 8. Review Tests

1Final Review Test

Topic 9. Business Mathematics

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