AIM Academics & AIM4A Tutoring/Test Prep

Level A6 - Mathematics
Curriculum Outline

Topic 1. Number Sense and Numeration

#ChapterDateNotes
1Place Value - Numbers through Billions (WIZ Math)
   
                                  
2Numbers in Words - Up to Billions (WIZ Math)
   
                                  
3Words to Numbers Up to Billions (WIZ Math)
   
                                  
4Multiplying Large Numbers (WIZ Math)
   
                                  
5Rounding to Nearest Million (WIZ Math)
   
                                  
6Dividing Large Numbers
   
                                  
7Difference of Place Value
   
                                  
8Sum of Place Value
   
                                  
9Changing Roman Numerals into Indo Arabic Numerals
   
                                  
10Changing Indo Arabic Numerals into Roman Numerals
   
                                  
11Converting Binary System Into Decimal System
   
                                  
12Converting Decimal System Into Binary System
   
                                  
13Properties of Whole Numbers (Addition)
   
                                  
14Properties of Whole Numbers (Multiplication)
   
                                  
15Properties of Whole Numbers (Subtraction)
   
                                  
16Properties of Whole Numbers (Division)
   
                                  
17Factors and Multiples
   
                                  
18Multiples of Numbers up to 50 (WIZ Math)
   
                                  
19Factors of Numbers up to 500 (WIZ Math)
   
                                  
20Prime Numbers, Twin Primes and Composite Numbers
   
                                  
21Prime Factorization of Numbers up to 1000 (WIZ Math)
   
                                  
22Criteria of Divisibility By 2
   
                                  
23Criteria of Divisibility By 3
   
                                  
24Criteria of Divisibility By 4
   
                                  
25Criteria of Divisibility By 5
   
                                  
26Criteria of Divisibility By 6
   
                                  
27Criteria of Divisibility By 7
   
                                  
28Criteria of Divisibility By 8
   
                                  
29Criteria of Divisibility By 9
   
                                  
30Division by Zero
   
                                  
31Criteria of Divisibility By 10
   
                                  
32Criteria of Divisibility By 11
   
                                  
33Divisibility Test - Numbers up to 10,000 (WIZ Math)
   
                                  
34Divisibility Review
   
                                  
35GCF - Greatest Common Factor
   
                                  
36GCD - Prime Factors Method
   
                                  
37GCD - Division Method (Euclid Algorithm)
   
                                  
38GCF - Greatest Common Factor (WIZ Math)
   
                                  
39LCM - Least Common Multiple
   
                                  
40LCM - Prime Factors Method
   
                                  
41LCM - Division Method
   
                                  
42LCM - Least Common Multiple (WIZ Math)
   
                                  
43Relation Between G.C.D. and L.C.M.
   
                                  
44Numeration Review Test
   
                                  

Topic 2. Integers

#ChapterDateNotes
1Absolute Value of Integer
   
                                  
2Powers of Integers - II
   
                                  
3Integers on Number Line
   
                                  
4Integers - Positive and Negative Integers
   
                                  
5Integer Coordinates
   
                                  
6Integer Multiplication Table
   
                                  
7Integer Story Problems
   
                                  
8Adding Integers using Number Line
   
                                  
9Subtracting Integers using Number Line
   
                                  
10Integers: Four Basic Operations Using Signed Numbers - Table
   
                                  
11Operations with Integers (WIZ Math)
   
                                  
12Powers of Integers I
   
                                  
13Properties of Division in Integers
   
                                  
14Expressing Using Integers
   
                                  
15Integers
   
                                  
16Comparing Integers - Smaller or Larger
   
                                  
17Write the Integers in Ascending or Descending Order
   
                                  
18Addition of Integers
   
                                  
19Properties of Addition in Integers
   
                                  
20Subtraction in Integers
   
                                  
21Multiplication of Integers
   
                                  
22Properties of Multiplication in Integers
   
                                  
23Division in Integers
   
                                  
24Integers Review Test
   
                                  

Topic 3. Rational Numbers

#ChapterDateNotes
1Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real
   
                                  
2Rational Numbers
   
                                  
3Comparing Rational Numbers - I
   
                                  
4Comparing Rational Numbers - II
   
                                  
5Addition of Rational Numbers - I
   
                                  
6Addition in Rational Numbers - II
   
                                  
7Properties of Rational Numbers (Addition)
   
                                  
8Additive Inverse and Additive Identity in Rational Numbers
   
                                  
9Subtraction in Rational Numbers - I
   
                                  
10Subtraction in Rational Numbers - II
   
                                  
11Multiplication in Rational Numbers - I
   
                                  
12Multiplication in Rational Numbers - II
   
                                  
13Properties of Rational Numbers (Multiplication)
   
                                  
14Multiplicative Identity and Multiplicative Inverse
   
                                  
15Division in Rational Numbers - I
   
                                  
16Division in Rational Numbers - II
   
                                  
17Operations of Rational Numbers - Review
   
                                  
18Simplifying Rational Numbers - I
   
                                  
19Simplifying Rational Numbers - II
   
                                  
20Simplifying Rational Numbers - III
   
                                  
21Arranging Rational Numbers in Ascending Order
   
                                  
22Real Numbers
   
                                  
23Irrational Numbers
   
                                  
24Fractions and Decimals
   
                                  
25Arranging Rational Numbers in Descending Order
   
                                  
26Rational Numbers - More Than One Operation
   
                                  
27Rational Numbers Word Problems
   
                                  
28Rational Numbers Review Test
   
                                  

Topic 4. Fractions

#ChapterDateNotes
1Fractions
   
                                  
2Types of Fractions
   
                                  
3Comparing Fractions
   
                                  
4Comparing Fractions - Another Method
   
                                  
5Arranging Fractions in Ascending or Descending Order
   
                                  
6Operation on Fractions
   
                                  
7Fractions of Quantities
   
                                  
8Order of Operations: P E M D A S or B O D M A S
   
                                  
9Order of Operations
   
                                  
10Word Problems
   
                                  
11Fractions Word Problems - 1
   
                                  
12Fractions Word Problems - 2
   
                                  
13Fractions Word Problems - 3
   
                                  
14Fractions Review Test
   
                                  

Topic 5. Decimals

#ChapterDateNotes
1Division of a Whole Number by Whole Number (Other Than Zero)
   
                                  
2Decimal Place Value upto Hundred-Thousandths (WIZ Math)
   
                                  
3Addition In Decimal Fractions
   
                                  
4Subtraction In Decimal Fraction
   
                                  
5Multiplication In Decimals - (Multiply by 10,100, and 1000)
   
                                  
6Multiplication In Decimals - (Multiply by Natural Number)
   
                                  
7Multiplication In Decimals - (Multiply by Decimal Number)
   
                                  
8Division In Decimals - (Divide by 10,100, and 1000)
   
                                  
9Division In Decimals - (Divide by Natural Number)
   
                                  
10Division In Decimals - (Division by Decimal Number)
   
                                  
11Decimal Sums (WIZ Math)
   
                                  
12Decimal Differences (WIZ Math)
   
                                  
13Decimal Products (WIZ Math)
   
                                  
14Decimal Division (WIZ Math)
   
                                  
15Decimal Word Problems - 1
   
                                  
16Decimals Word Problems - 2
   
                                  
17Decimals Review
   
                                  
18Decimals Review - II
   
                                  
19Decimal Word Problems - Challenging
   
                                  
20Converting Decimals to Common Fractions
   
                                  
21Converting Common Fractions To Decimals
   
                                  
22Decimal Review Test
   
                                  

Topic 6. Mixed Fractions

#ChapterDateNotes
1Mixed Fractions and Improper Fractions
   
                                  
2Addition of Mixed Numbers
   
                                  
3Addition of Three Mixed Numbers
   
                                  
4Subtraction of Mixed Numbers
   
                                  
5Addition and Subtraction of Mixed Numbers
   
                                  
6Addition and Subtraction of Mixed Fractions with Unlike Denominators
   
                                  
7Subtraction of Mixed Fractions - 2
   
                                  
8Multiplication of Mixed Numbers
   
                                  
9Multiplication of Mixed Fractions - 2
   
                                  
10Division of Mixed Numbers
   
                                  
11Reciprocal of a Number
   
                                  
12Division of Mixed Fractions - 2
   
                                  
13Multiple Operations with Mixed Fractions
   
                                  
14Comparing Mixed Numbers
   
                                  
15Mixed Fractions: Word Problems
   
                                  
16Fractions, Decimals and Mixed Numbers - Review Test
   
                                  

Topic 7. Ratios or Fractions

#ChapterDateNotes
1Ratio
   
                                  
2Find if the Given Numbers are in Proportion
   
                                  
3Mean Proportional
   
                                  
4Find the Missing Number in a Proportion
   
                                  
5Direct Variation or Direct Proportion
   
                                  
6Inverse Variation or Inverse Proportion
   
                                  
7Representative Ratio
   
                                  
8Representative Fractions
   
                                  
9Representative Ratio and Representative Fraction
   
                                  
10Ratios Review
   
                                  
11Proportion - II
   
                                  
12Proportion - I
   
                                  
13Properties of Ratios - I
   
                                  
14Properties of Ratios - II
   
                                  
15Properties of Ratios - III
   
                                  
16Ratio Compares Quantities of the Same Kind
   
                                  
17Simplifying Ratios
   
                                  
18Ratio Word Problems
   
                                  
19Find The Greater Ratio In Each Pair
   
                                  
20Find A:B:C from A:B and B:C
   
                                  
21Ratio Word Problems - 2
   
                                  
22Ratios Review Test
   
                                  

Topic 8. Percentages

#ChapterDateNotes
1Percents
   
                                  
2Percentages
   
                                  
3Fraction of a Collection Using Pictures
   
                                  
4Percentages For Numbers Using Pictures
   
                                  
5Cost Price, Selling Price, and Loss
   
                                  
6Finding Profit Percentage
   
                                  
7Finding Loss Percentage
   
                                  
8Profit and Loss Table
   
                                  
9Profit and Loss Word Problems - I
   
                                  
10Profit and Loss Word Problems - II
   
                                  
11Simple Interest
   
                                  
12Problems on Simple Interest
   
                                  
13Simple Interest Word Problems
   
                                  
14Saving Bank Account
   
                                  
15Fractions to Percents (WIZ Math)
   
                                  
16Percentage Word Problems - 2
   
                                  
17Cost Price, Selling Price, and Profit
   
                                  
18Percentage Word Problems - 1
   
                                  
19Fraction - Decimal - Percent
   
                                  
20Convert Fractions to Percents
   
                                  
21Convert Percents to Fractions
   
                                  
22Convert Decimals to Percents
   
                                  
23Convert Percents to Decimals
   
                                  
24Expressing One Quantity as a Percentage of Another Quantity
   
                                  
25Percentage Table - I
   
                                  
26Percentage Table - II
   
                                  
27Find the Required Percent Of a Given Quantity
   
                                  
28Percentage Increase
   
                                  
29Percentage Decrease
   
                                  
30Percentage Table - III
   
                                  
31Percentage Table - IV
   
                                  
32Percentages Review Test
   
                                  

Topic 9. Geometry

#ChapterDateNotes
1Basic Geometrical Concepts - Points and Lines
   
                                  
2Triangles and Polygons
   
                                  
3Angles Made by a Transversal With Two Parallel Lines - II
   
                                  
4Angles Made By A Transversal With Two Lines - I
   
                                  
5Transversal
   
                                  
6Parallel Lines
   
                                  
7Geometry Test
   
                                  
8Adjacent, Congruent, Linear Pair, and Vertically Opposite Angles
   
                                  
9Complementary Angles
   
                                  
10Perimeter of a Triangle
   
                                  
11Classifying Triangles by Sides
   
                                  
12Geometry Review
   
                                  
13Constructing a Circle of a Given Radius
   
                                  
14Circumference of a Circle
   
                                  
15Circle - II
   
                                  
16Circles - I
   
                                  
17Relation Between Sides and Angles of a Triangle
   
                                  
18Triangle Sum Theorem
   
                                  
19Classifying Triangles by Angles
   
                                  
20Supplementary Angles
   
                                  
21Constructing an Angle of a Given Measure
   
                                  
22Measuring Length of Line Segment using Graduated Ruler
   
                                  
23Comparison of Two Line Segments - With a Divider
   
                                  
24Comparison of Two Line Segments - With a Sheet of Paper
   
                                  
25Comparison of Two Line Segments - By Observation
   
                                  
26Line Segments
   
                                  
27Basic Geometrical Concepts
   
                                  
28Basic Geometrical Concepts - Coplanar Points, Coplanar Lines, Concurrent Lines and Space
   
                                  
29Basic Geometrical Concepts - Parallel Lines, Collinear Points and Plane
   
                                  
30Betweenness
   
                                  
31Midpoint of Line Segment
   
                                  
32Constructing a Line Segment of a Given Length
   
                                  
33Find the Correct Angle
   
                                  
34Classifying Angles
   
                                  
35Measuring an Angle with a Protractor - I
   
                                  
36Interior and Exterior of An Angle
   
                                  
37Angle
   
                                  
38Rays
   
                                  
39Addition and Subtraction of Lengths of Line Segments
   
                                  
40Geometry Review Test
   
                                  

Topic 10. Measurement

#ChapterDateNotes
1Measurement Facts - U.S. Customary System and Metric System
   
                                  
2Measurement Facts - Units of Time
   
                                  
3Convert Units of Length - Metric & US Customary System (WIZ Math)
   
                                  
4Convert Units of Weight - Metric & US Customary Systems (WIZ Math)
   
                                  
5Convert Units of Capacity - Metric and US Customary Systems (WIZ Math)
   
                                  
6Changing U.S Customary Units of Volume (WIZ Math)
   
                                  
7Changing Metric Units of Volume (WIZ Math)
   
                                  
8Measurement Review Test
   
                                  

Topic 11. Probability and Statistics

#ChapterDateNotes
1Probability
   
                                  
2Probability - The Study of Chance
   
                                  
3Statistics: Mean, Median, Mode and Range
   
                                  
4Statistics and Graphs: Bar Graphs, Line graphs, Pictographs and Tally Marks
   
                                  
5Circle Graph
   
                                  
6Histogram or Histograph
   
                                  
7Probability and Statistics Review Test
   
                                  

Topic 12. Algebraic Operations and Analytical Thinking

#ChapterDateNotes
1Variable
   
                                  
2Variables And Constants
   
                                  
3Basic Operations With Variables - I
   
                                  
4Basic Operations With Variables - II
   
                                  
5Algebraic Expressions
   
                                  
6Translating Verbal Statements into Algebraic Expressions
   
                                  
7Monomial, Binomial, Trinomial, and Multinomial
   
                                  
8Algebra Review
   
                                  
9Algebraic Equations
   
                                  
10Linear Equations
   
                                  
11Linear Equations - 2
   
                                  
12Exponent/Index and Base
   
                                  
13Exponents
   
                                  
14Exponents - Product Form
   
                                  
15Exponents - I
   
                                  
16Exponents - 2
   
                                  
17Negative Exponents
   
                                  
18Equations Review
   
                                  
19Solving Equations
   
                                  
20Solving Equations - 2
   
                                  
21Order of Operations
   
                                  
22Order of Operations - 2
   
                                  
23Order of Operations Involving +, -, and * (WIZ Math)
   
                                  
24Order of Operations (WIZ Math)
   
                                  
25Algebraic Equations and Expressions
   
                                  
26Solving Equations - 3
   
                                  
27Equations and Expressions
   
                                  
28Properties
   
                                  
29Coefficient
   
                                  
30Like and Unlike Terms
   
                                  
31Value of an Algebraic Expression - I
   
                                  
32Value of An Algebraic Expression - II
   
                                  
33Value of an Algebraic Expression - III
   
                                  
34Value of an Algebraic Expression - IV
   
                                  
35Addition of Monomials
   
                                  
36Addition of Binomials - I
   
                                  
37Addition of Binomials - II
   
                                  
38Addition of Trinomials - I
   
                                  
39Addition of Trinomials - II
   
                                  
40Additive Inverse
   
                                  
41Subtraction of Monomials
   
                                  
42Subtraction of Binomials - I
   
                                  
43Subtraction of Binomials - II
   
                                  
44Subtraction of Trinomials - I
   
                                  
45Subtraction of Trinomials - II
   
                                  
46Simplification of Expressions - I
   
                                  
47Simplification of Expressions - II
   
                                  
48Simplification of Expressions - III
   
                                  
49Multiplication of Monomials - I
   
                                  
50Multiplication of Monomials - II
   
                                  
51Multiplication of Monomials - III
   
                                  
52Multiplication of Monomials - IV
   
                                  
53Multiplication of Monomials - V
   
                                  
54Multiplication of Monomials - VI
   
                                  
55Multiplication of Monomials - VII
   
                                  
56Multiplication of Monomials - VIII
   
                                  
57Multiplication of a Monomial and a Binomial - I
   
                                  
58Multiplication of a Monomial and a Binomial - II
   
                                  
59Multiplication of a Monomial and a Binomial - III
   
                                  
60Multiplication of a Monomial and a Binomial - IV
   
                                  
61Multiplication of a Monomial and a Binomial - V
   
                                  
62Multiplication of a Monomial and a Trinomial - I
   
                                  
63Multiplication of a Monomial and a Trinomial - II
   
                                  
64Multiplication of a Monomial and a Trinomial - III
   
                                  
65Multiplication of two Binomials
   
                                  
66Multiplication - I
   
                                  
67Multiplication - II
   
                                  
68Multiplication - III
   
                                  
69Mathematical Statement
   
                                  
70Root of an Equation - I
   
                                  
71Root of an Equation - II
   
                                  
72Root of an Equation - III
   
                                  
73Linear and Non-Linear Equations
   
                                  
74L.H.S and R.H.S - I
   
                                  
75L.H.S and R.H.S - II
   
                                  
76Domain of a Variable
   
                                  
77Solving an Equation by Guess Method
   
                                  
78Applications of Simple Equations
   
                                  
79Verbal Problems - I
   
                                  
80Verbal Problems - II
   
                                  
81Review I
   
                                  
82Review - II
   
                                  
83Algebra Review Test
   
                                  

Topic 13. Review Tests

#ChapterDateNotes
1Final Review Test