AIM Academics & AIM4A Tutoring/Test Prep

Level A8 - Mathematics
Curriculum Outline

Topic 1. Review of Real Numbers

#ChapterDateNotes
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

#ChapterDateNotes
1Ratio - I
   
                                  
2Gain or Loss Percent Word Problems
   
                                  
3Profit and Loss Word Problems - II
   
                                  
4Profit and Loss Word Problems
   
                                  
5Loss Percentage
   
                                  
6Profit Percentage
   
                                  
7Loss
   
                                  
8Profit
   
                                  
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

#ChapterDateNotes
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
   
                                  
24Parallelogram
   
                                  
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

#ChapterDateNotes
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
   
                                  
15Relations
   
                                  
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
   
                                  
29Subset
   
                                  
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

#ChapterDateNotes
1Theorem - I
   
                                  
2Greatest Common Factor - (Word Problems) - I
   
                                  
3Numbers - Word Problems
   
                                  
4Greatest Common Factor - (Word Problems) - II
   
                                  
5Greatest Common Factor - (Word Problems) - III
   
                                  
6L.C.M.
   
                                  
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
   
                                  
15Classification
   
                                  
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

#ChapterDateNotes
1Multiplication Property - I
   
                                  
2nth Root Problems - II
   
                                  
3The Power of a Quotient Property - I
   
                                  
4nth Root Problems - I
   
                                  
5Simplification
   
                                  
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

#ChapterDateNotes
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

#ChapterDateNotes
1Final Review Test
   
                                  

Topic 9. Business Mathematics

#ChapterDateNotes
1Discount
   
                                  
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