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)
5Dividing Large Numbers
6Rounding to Nearest Million (WIZ Math)
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
1Operations with Integers (WIZ Math)
2Integers: Four Basic Operations Using Signed Numbers - Table
3Subtracting Integers using Number Line
4Adding Integers using Number Line
5Integer Story Problems
6Integer Multiplication Table
7Integer Coordinates
8Integers - Positive and Negative Integers
9Integers on Number Line
10Powers of Integers - II
11Powers of Integers I
12Properties of Division in Integers
13Division in Integers
14Properties of Multiplication in Integers
15Multiplication of Integers
16Subtraction in Integers
17Properties of Addition in Integers
18Addition of Integers
19Write the Integers in Ascending or Descending Order
20Comparing Integers - Smaller or Larger
21Integers
22Expressing Using Integers
23Absolute Value of Integer
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
1Ratios Review Test
2Ratios Review
3Representative Ratio and Representative Fraction
4Representative Fractions
5Representative Ratio
6Inverse Variation or Inverse Proportion
7Direct Variation or Direct Proportion
8Find the Missing Number in a Proportion
9Mean Proportional
10Find if the Given Numbers are in Proportion
11Proportion - II
12Proportion - I
13Ratio Word Problems - 2
14Find A:B:C from A:B and B:C
15Find The Greater Ratio In Each Pair
16Ratio Word Problems
17Simplifying Ratios
18Ratio Compares Quantities of the Same Kind
19Properties of Ratios - III
20Properties of Ratios - II
21Properties of Ratios - I
22Ratio

Topic 8. Percentages

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

Topic 9. Geometry

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

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