AIM Academics & AIM4A Tutoring/Test Prep

Level A7 - Mathematics
Curriculum Outline

Topic 1. Real Numbers

#ChapterDateNotes
1Natural Numbers
   
                                  
2Properties of Square Roots Review
   
                                  
3Review - II
   
                                  
4Scientific Notation for Natural Numbers
   
                                  
5Scientific Notation for Decimal Numbers
   
                                  
6Scientific Notation for Fractional Numbers
   
                                  
7Comparing Two Scientific Notation Numbers
   
                                  
8Multiplying Numbers Written in Scientific Notation
   
                                  
9Dividing Numbers Written in Scientific Notation
   
                                  
10Convert Scientific Notation to Standard Notation (Natural Numbers)
   
                                  
11Convert Scientific Notation to Standard Notation (Decimal Number)
   
                                  
12Convert Scientific Notation to Standard Notation (Fraction)
   
                                  
13Addition and Subtraction of Two Numbers in Scientific Notation
   
                                  
14Properties of Square Roots of Numbers - VI
   
                                  
15Properties of Square Roots of Numbers - V
   
                                  
16Whole Numbers
   
                                  
17Integers
   
                                  
18Rational Numbers
   
                                  
19Radicals or Square Root - I
   
                                  
20Square Root - II
   
                                  
21Word Problems On Square Roots - I
   
                                  
22Word Problems On Square Roots - II
   
                                  
23Word Problems On Square Roots - III
   
                                  
24Properties of Square Roots of Numbers - I
   
                                  
25Properties of Square Roots of Numbers - II
   
                                  
26Properties of Square Roots of Numbers - III
   
                                  
27Properties of Square Roots of Numbers - IV
   
                                  
28Review Test - Real Numbers
   
                                  

Topic 2. Algebraic Expressions

#ChapterDateNotes
1Value of an Expression - I
   
                                  
2Subtraction of Polynomials
   
                                  
3Additive Inverse of a Polynomial
   
                                  
4Addition of Polynomials
   
                                  
5Arranging a Polynomial in Descending Order
   
                                  
6Arranging a Polynomial in Ascending Order
   
                                  
7Simplified Form of a Polynomial
   
                                  
8Subtraction in Monomials
   
                                  
9Addition of Monomials
   
                                  
10Zero of a Polynomial
   
                                  
11Degree of a Polynomial
   
                                  
12Degree of a Monomial
   
                                  
13Value of an Expression - IV
   
                                  
14Value of an Expression - III
   
                                  
15Value of an Expression - II
   
                                  
16Algebraic Expressions Review Test
   
                                  

Topic 3. Exponents and Powers

#ChapterDateNotes
1Coefficient
   
                                  
2Find the Value of the Expression
   
                                  
3Write the Given Product in Exponent Form
   
                                  
4Integer Exponents
   
                                  
5Negative Exponents
   
                                  
6Fractional or Rational Exponents
   
                                  
7Find x Value - I
   
                                  
8Word Problems - Exponents
   
                                  
9Find x Value - II
   
                                  
10Word Problems - Exponents - 2
   
                                  
11Properties of Exponents
   
                                  
12Laws of Exponents Review - II
   
                                  
13Simplification - II
   
                                  
14Word Problems - Negative Exponents
   
                                  
15Laws of Exponents - I
   
                                  
16Laws of Exponents - II
   
                                  
17Laws of Exponents - III
   
                                  
18Laws of Exponents - IV
   
                                  
19Laws of Exponents - V
   
                                  
20Power With Exponent Zero
   
                                  
21Express in Power Notation
   
                                  
22Simplification - I
   
                                  
23Fill in the Blanks
   
                                  
24Exponents and Powers Review Test
   
                                  

Topic 4. Special Products and Expansions

#ChapterDateNotes
1Formula for a3 + b3
   
                                  
2Factorization by Rearrangement of Terms
   
                                  
3Common Binomial Factor - II
   
                                  
4Common Binomial Factor - I
   
                                  
5Factorization - III
   
                                  
6Factorization - II
   
                                  
7Factorization - I
   
                                  
8Highest Common Factor - II
   
                                  
9Highest Common Factor - I
   
                                  
10Identities - I
   
                                  
11Finding the value of (a+b) (a-b) (Geometrical Proof)
   
                                  
12The Square Root of a Monomial
   
                                  
13Finding the Factors of a Trinomial That is a Perfect Square - I
   
                                  
14Division of Multinomial by Multinomial
   
                                  
15Division of Multinomial by Binomial
   
                                  
16Division of Multinomial by Monomial
   
                                  
17Division of Binomial by a Monomial
   
                                  
18Division of a Monomial by a Monimal - I
   
                                  
19Find The Factors of Difference of Two Squares - IV
   
                                  
20Find The Factors of Difference of Two Squares - III
   
                                  
21Find The Factors of Difference of Two Squares - II
   
                                  
22Find The Factors of Difference of Two Squares - I
   
                                  
23Finding the Factors of a Trinomial That is a Perfect Square - II
   
                                  
24Finding the value of (a-b)2 (Geometrical Proof)
   
                                  
25 Finding the Formula (a+b)2 (Geometrical Proof)
   
                                  
26Multiplication of Two Binomials (Geometrical Proof)
   
                                  
27Simplification - II
   
                                  
28Simplification - I
   
                                  
29Fill in the Blanks - I
   
                                  
30Division of a Monomial by a Monimal - II
   
                                  
31Multiplication of Two Binomials - Using a Table
   
                                  
32Multiplication of Two Binomial (Vertical or Column Method)
   
                                  
33Multiplication of Two Binomials (Horizontal Method)
   
                                  
34Multiplication of a Multinomial by a Monomial (Vertical Method)
   
                                  
35Multiplication of a Multinomial by a Monomial (Horizontal Method)
   
                                  
36Multiplication of Two Binomials - FOIL Method
   
                                  
37Formula for (a+b)^2 - Square of a Binomial
   
                                  
38Formula for (a-b)2
   
                                  
39Solving Problems Using Formula for a2-b2
   
                                  
40Formula for a2-b2 Difference of Two Squares
   
                                  
41Solving Problems Using Formula for (a-b)2
   
                                  
42Solving Problems Using Formula for (a+b)(a-b)
   
                                  
43Solving Problems Using Formula for (a+b)2 - II
   
                                  
44Solving Problems Using Formula for (a+b)2
   
                                  
45Fill In the Blanks - III
   
                                  
46Fill in the Blanks - II
   
                                  
47Multiplication of a Multinomial by a Monomial (Geometrical Proof)
   
                                  
48Formula for a3 - b3
   
                                  
49Special Products and Expansions - Formulas
   
                                  
50Special Products Expansions - Formulas
   
                                  
51Special Products and Expansions Review Test
   
                                  

Topic 5. Formulae and Their Uses

#ChapterDateNotes
1Subject of the Formula
   
                                  
2Review - II
   
                                  
3Review - I
   
                                  
4Construct the Formula
   
                                  
5Temperature Conversion using Formula - Fahrenheit and Celcius
   
                                  
6Word Problems
   
                                  
7Changing the Subject of the Formula
   
                                  
8Expressing the Principles Stated in Words in Terms of Symbols
   
                                  
9State the Formula in Words
   
                                  
10Formulas
   
                                  

Topic 6. Simple Equations and Inequations

#ChapterDateNotes
1Convert Terminating Decimals into Non-Terminating Recurring Decimals
   
                                  
2Word Problems - Digits
   
                                  
3Speed and Distance Word Problems
   
                                  
4Terminating Decimals
   
                                  
5Non-Terminating Recurring Decimals
   
                                  
6Writing Pure Recurring Decimal into Rational Number Form - I
   
                                  
7Writing Pure Recurring Decimal into Rational Number Form - II
   
                                  
8Writing Pure Recurring Decimal into Rational Number Form - III
   
                                  
9Writing Mixed Recurring Decimal into Rational Number Form - I
   
                                  
10Writing Mixed Recurring Decimal into Rational Number Form - II
   
                                  
11Writing Mixed Recurring Decimal into Rational Number Form - III
   
                                  
12Converting Recurring Decimal into Non-Recurring Decimal - I
   
                                  
13Converting Recurring Decimal into Non-Recurring Decimal - II
   
                                  
14Word Problems - Distance, Money, Fractions
   
                                  
15Word Problems - Age
   
                                  
16Word Problems - Numbers
   
                                  
17Solution of Simple Equations - I
   
                                  
18Solution of Simple Equations - II
   
                                  
19Solution of Simple Equations - III
   
                                  
20Solution of Simple Equations - IV
   
                                  
21Solution of Simple Equations - V
   
                                  
22Solution of Simple Equations - VI
   
                                  
23Equations With Fractional Coefficients - I
   
                                  
24Equations With Fractional Coefficients - II
   
                                  
25Equations With Decimal Coefficients - I
   
                                  
26Equations With Decimal Coefficients - II
   
                                  
27Solution of Simple Equations - VII
   
                                  
28Solution of Simple Equations - VIII
   
                                  
29Properties of Equalities
   
                                  
30Properties of Inequalities - I
   
                                  
31Properties of Inequalities - II
   
                                  
32Properties of Inequalities - III
   
                                  
33Properties of Inequalities - IV
   
                                  
34Properties of Inequalities - V
   
                                  
35Solving Inequations - I
   
                                  
36Solving Inequations - II
   
                                  
37Solving Inequations - III
   
                                  
38Solving Inequations - V
   
                                  
39Solving Inequations - IV
   
                                  
40Solving Inequations - VI
   
                                  
41Simple Equations Review
   
                                  
42Real Numbers Word Problems
   
                                  
43Real Numbers Review
   
                                  
44Equations and Inequations - Review Test
   
                                  

Topic 7. Goemetry - Triangles

#ChapterDateNotes
1Triangles Review
   
                                  
2Properties of Triangles
   
                                  
3Polygons and Triangles
   
                                  
4Perimeter of a Triangle
   
                                  
5Classifying Triangles by Sides
   
                                  
6Classifying Triangles by Angles
   
                                  
7Triangle Sum Theorem
   
                                  
8Relation Between Sides and Angles of a Triangle
   
                                  
9Congruency of Triangles
   
                                  
10Circumcenter and Incenter
   
                                  
11Excentres, Median, Centroid, Altitude and Orthocentre
   
                                  
12Construction of Circumcircle
   
                                  
13Geometry Triangles - Review Test
   
                                  

Topic 8. Geometry - Quadrilaterals

#ChapterDateNotes
1Quadrilaterals-Review
   
                                  
2Problems on Quadrilaterals - I
   
                                  
3Problems on Quadrilaterals - II
   
                                  
4Problems on Quadrilaterals - III
   
                                  
5Types of Quadrilaterals
   
                                  
6Parallelogram
   
                                  
7Rectangle
   
                                  
8Rhombus
   
                                  
9Square
   
                                  
10Kite
   
                                  
11Trapezoid
   
                                  
12Trapezoid
   
                                  
13Problems on Parallelogram - I
   
                                  
14Problems on Parallelogram - II
   
                                  
15Relation Between Quadrilaterals
   
                                  
16Quadrilaterals Flow Chart
   
                                  
17Quadrilaterals Review Test
   
                                  

Topic 9. Geometry and Measurement

#ChapterDateNotes
1Perimeter of the Square
   
                                  
2The Area of a Circular Path - II
   
                                  
3The Area of a Circular Path - I
   
                                  
4Area of a Circle - II
   
                                  
5Diameter of a Circle - II
   
                                  
6Area of a Circle - I
   
                                  
7Diameter of a Circle - I
   
                                  
8Circumference of a Circle - II
   
                                  
9Circumference of a Circle - I
   
                                  
10Area of a Trapezoid - II
   
                                  
11The Area of a Circular Path - III
   
                                  
12Length of the Sector
   
                                  
13The Area of a Sector - I
   
                                  
14Perimeter of the Rectangle
   
                                  
15Perimeter of the Rhombus
   
                                  
16Perimeter of the Parallelogram
   
                                  
17Perimeter of the Trapezoid
   
                                  
18Perimeter of a Quadrilateral
   
                                  
19Perimeter of the Triangle
   
                                  
20Angle of a Sector
   
                                  
21Perimeter of a Sector
   
                                  
22The Area of a Sector - II
   
                                  
23Area of a Trapezoid - I
   
                                  
24Area of a Square - II
   
                                  
25The Area of Triangle
   
                                  
26Important Formulas
   
                                  
27Area of Quadrilateral - I
   
                                  
28Area of Quadrilateral - II
   
                                  
29Area of Parallelogram - I
   
                                  
30Area of Parallelogram - II
   
                                  
31Area of Rhombus - I
   
                                  
32Area of Rhombus - II
   
                                  
33Area of Square - I
   
                                  
34Area of Triangle - Using Pictures
   
                                  
35Perimeter of Triangle - Using Pictures
   
                                  
36Area of Quadrilateral - Using Pictures
   
                                  
37Perimeter of Quadrilaterals - Using Pictures
   
                                  
38Finding Area of Polygons
   
                                  
39Finding Perimeter of Polygons
   
                                  
40Pythagorean Theorem
   
                                  
41Area of the Four Walls of a Room - I
   
                                  
42Area of the Four Walls of a Room - II
   
                                  
43Area of the Four Walls of a Room - III
   
                                  
44Area of Rectangular Path - I
   
                                  
45Area of Rectangular Path - II
   
                                  
46Area of Rectangular Path - III
   
                                  
47Area of Rectangular Path - IV
   
                                  
48Surface Area of Cuboid - I
   
                                  
49Surface Area of Cuboid - II
   
                                  
50Word Problems on Cuboid
   
                                  
51Surface Area of Cube - I
   
                                  
52Surface Area of Cube - II
   
                                  
53Word Problems on Cube
   
                                  
54Volume of Cuboid - I
   
                                  
55Volume of Cuboid - II
   
                                  
56Volume of the Cube - I
   
                                  
57Volume of Cuboid - III
   
                                  
58Ratio of Two Cuboids
   
                                  
59Volume of the Cube - II
   
                                  
60Word Problems on Cuboid - I
   
                                  
61Geometry And Measurement - Review Test
   
                                  

Topic 10. Statistics

#ChapterDateNotes
1Making a Box-and-Whisker Plot
   
                                  
2Box-and-Whisker Plot
   
                                  
3Stem-and-Leaf Plots
   
                                  
4Organizing Data in Venn Diagrams
   
                                  
5Line Plots
   
                                  
6Bar Diagram (Vertical)
   
                                  
7Bar Diagram (Horizontal)
   
                                  
8Line Graphs
   
                                  
9Pie Diagram
   
                                  
10Problems on Pie Diagram
   
                                  

Topic 11. Review Tests

#ChapterDateNotes
1Final Review Test