AIM Academics & AIM4A Tutoring/Test Prep

Level A7 - Mathematics
Curriculum Outline

Topic 1. Real Numbers

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

Topic 2. Algebraic Expressions

#ChapterDateNotes
1Value of an Expression - I
2Value of an Expression - II
3Value of an Expression - III
4Value of an Expression - IV
5Degree of a Monomial
6Degree of a Polynomial
7Zero of a Polynomial
8Addition of Monomials
9Subtraction in Monomials
10Simplified Form of a Polynomial
11Arranging a Polynomial in Ascending Order
12Arranging a Polynomial in Descending Order
13Addition of Polynomials
14Additive Inverse of a Polynomial
15Subtraction of Polynomials
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
7Laws of Exponents Review - II
8Properties of Exponents
9Word Problems - Exponents - 2
10Find x Value - II
11Word Problems - Exponents
12Find x Value - I
13Simplification - II
14Word Problems - Negative Exponents
15Fill in the Blanks
16Simplification - I
17Express in Power Notation
18Power With Exponent Zero
19Laws of Exponents - V
20Laws of Exponents - IV
21Laws of Exponents - III
22Laws of Exponents - II
23Laws of Exponents - I
24Exponents and Powers Review Test

Topic 4. Special Products and Expansions

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

Topic 5. Formulae and Their Uses

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

Topic 6. Simple Equations and Inequations

#ChapterDateNotes
1Convert Terminating Decimals into Non-Terminating Recurring Decimals
2Converting Recurring Decimal into Non-Recurring Decimal - II
3Converting Recurring Decimal into Non-Recurring Decimal - I
4Writing Mixed Recurring Decimal into Rational Number Form - III
5Writing Mixed Recurring Decimal into Rational Number Form - II
6Writing Mixed Recurring Decimal into Rational Number Form - I
7Writing Pure Recurring Decimal into Rational Number Form - III
8Writing Pure Recurring Decimal into Rational Number Form - II
9Writing Pure Recurring Decimal into Rational Number Form - I
10Non-Terminating Recurring Decimals
11Terminating Decimals
12Speed and Distance Word Problems
13Word Problems - Digits
14Word Problems - Distance, Money, Fractions
15Word Problems - Age
16Word Problems - Numbers
17Solution of Simple Equations - VIII
18Solution of Simple Equations - VII
19Equations With Decimal Coefficients - II
20Equations With Decimal Coefficients - I
21Equations With Fractional Coefficients - II
22Equations With Fractional Coefficients - I
23Solution of Simple Equations - VI
24Solution of Simple Equations - V
25Solution of Simple Equations - IV
26Solution of Simple Equations - III
27Solution of Simple Equations - II
28Solution of Simple Equations - I
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 - IV
39Solving Inequations - V
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
1Area of a Trapezoid - I
2Area of a Trapezoid - II
3Circumference of a Circle - I
4Circumference of a Circle - II
5Diameter of a Circle - I
6Area of a Circle - I
7Diameter of a Circle - II
8Area of a Circle - II
9The Area of a Circular Path - I
10The Area of a Circular Path - II
11The Area of a Circular Path - III
12Length of the Sector
13The Area of a Sector - I
14The Area of a Sector - II
15Perimeter of a Sector
16Angle of a Sector
17Perimeter of the Triangle
18Perimeter of a Quadrilateral
19Perimeter of the Trapezoid
20Perimeter of the Parallelogram
21Perimeter of the Rhombus
22Perimeter of the Rectangle
23Perimeter of the Square
24Important Formulas
25The Area of Triangle
26Area of Quadrilateral - I
27Area of Quadrilateral - II
28Area of Parallelogram - I
29Area of Parallelogram - II
30Area of Rhombus - I
31Area of Rhombus - II
32Area of Square - I
33Area of a Square - II
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
1Line Plots
2Organizing Data in Venn Diagrams
3Stem-and-Leaf Plots
4Box-and-Whisker Plot
5Making a Box-and-Whisker Plot
6Bar Diagram (Vertical)
7Bar Diagram (Horizontal)
8Line Graphs
9Pie Diagram
10Problems on Pie Diagram

Topic 11. Review Tests

#ChapterDateNotes
1Final Review Test