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Math Basic Syllabus

Kindergarten

1. Counting
   Counting under 20
   Number Sequence
   Comparison of quantity and size
   Money ($1, $5, $10)

2. Number Combination
   Number under 10

3. Comparison of length, volume, weight and time
4. Comparison of length, volume, weight and time
5. Graphics & Space
   3D shapes (excluding Cone)
   Define left & right
   Symmetry

6. Logical Reasoning
   Pattern of numbers
   Pattern of Graphics

 

Grade 1

1. Integer & Number Sequence
   Number under 200
   Money ($1, $5, $10, $50, $100, $200)
   Paying money
   Number order

2. Addition & Deduction of & under 2-digit
3. Length with cm
4. Time & Date
   Calendar
   Month, Date, Days of the week

5. Shape & Space
   Triangle, Square, Rectangle, Circle

6. Basic Statics

 

Grade 2

1. Integer & Calculation
   Number under 10,000
   Calculation of number of or under 4-digit

2. Multiply
   3-digit x 1-digit

3. Grouping
4. Time & Dates
   Quarter, Half & Hour
   Day, Week, Month, Year
   Calendar

5. Weight, Volume, Length
   Understand M & CM

6. Shape & Space
   Understand parallel & perpendicular
   2D shapes’ surface, edge, vertices, vertex
   Perimeter

 

Grade 3

1. Integer & Calculation
   Number under billion
   Calculation of number of or under 4-digit
   Even & Odd

2. Multiply
   2,3,4-digit x 1,2,3-digit
   2,3,4-digit / 1,2-digit

3. Basic Fraction & Decimal
   Comparison of fraction
   Addition & Division of fraction with same denominator
   Understand, comparison and calculation of numbers with 1 decimal point.

4. Weight, Volume, Length
   Understand M, CM & MM
   Understand KG & G
   Understand L & ML

5. Shape & Space
   Understand angles & right-angle
   Understand straight & round angles
   Understand, cm2 & calculation of surface areas
   Understand Circle & Circumstances

6. Time
   Relationship of hour, minute and second
   Understanding of 24hours
   Calculation of time

 

Grade 4

1. Integer & Rounding
   LCM, HCF, Factor
   Multiples, Common multiples, least common multiples
   Calculation of 5-digit numbers
   2,3,4-digit x 1,2,3-digit
   2,3,4-digit / 2,3-digit
   Round up & round off

2. Fraction & Decimal
   Fraction, Improper fraction,
   Mixed fraction Addition & Division of fraction with same denominator
   Multiply & Division of fractions
   Understand, comparison and calculation of numbers with 2 decimal points.
   Change of simple fraction and decimal number

3. Arithmetic
4. Shape & Space
   Understand angles & right-angle
   Understand straight & round angles
   Understand, cm2 & calculation of surface areas
   Understand Circle & Circumstances

5. Time
   Calculation of time

6. Weight, Volume, Length
   Understand M, CM & MM
   Understand KG & G
   Understand L & ML

 

Grade 5 – 6

1. Common Factor & Common Multiple Application
2. Arithmetic of integers, fractions and decimal numbers
3. Percentage
4. 2D shapes
   Calculation of Perimeter and Surface Area

5. 3D shapes
   Understand and Calculation of Volume

6. Time
   Calculation of time
   Multiplication & Division of time
   Understand of tones and KG

 

Grade 7 – 8

1. Arithmetic
   Prime factorization of positive integers
   Linear equation in one variable
   Linear equation in two variables
   Law of Exponentiation
   Number sequence

2. Graphic & Measurement
3. Surface Area of polygons
   Volume of 3D shapes Angles & parallel lines
   Congruent triangle
   Pythagoras Theorem
   Cartesian Coordinate System

4. Statistics
   Stem-and-leaf Diagram
   Histogram
   Average, Median and Mode

 

Grade 9 – 10

1. Arithmetic
   Rational & Irrational numbers
   Polynomials
   Linear equation in two variables
   Inequalities

2. Graphic & Measurement
   Surface Area & Volume of 3D shapes
   Trigonometry
   Equation of line
   Statistics
   Probability
   Expected Value
   Permutation & Combination

 

Grade 11 – 12

1. Arithmetic
   Function
   Polynomial continued fractions
   Continuity equation
   Arithmetic Sequence & Geometric Sequence

3. Graphic & Measurement
   Basic Properties of Circle
   Trigonometry
4. Statistics
   Permutation & Combination
   Addition & Multiplication of probability

Olympiad Mathematics Syllabus

Kindergarten

1. Comparison (Weight, Volume etc.)
2. Number combination
3. Basic 3D shapes
4. Grouping (including quantity, graphics, half, quarter)
5. Logical reasoning
6. Find the difference (including graphics)
7. Time (Month, Date, Week, Yesterday, Today, Tomorrow)
8. Space & Direction
9. Sequence (number & graphics)
10. Fill in numbers
11. Symmetry
12. Game (pouring water, moving matches etc.)

 

Grade 1

1. Number to 100
2. Money
3. Addition & Subtraction
4. Length & Grouping
5. Time& Date
6. 2D & 3D shapes

 

Grade 2

1. Number to 1000
2. Addition & Subtraction
3. Multiplication & Grouping
4. 2D & 3D shapes
5. Year, Time & Date
6. Meter & Centimeter

 

Grade 3

1. Multiplication & Division
2. Perimeter & Surface Area
3. Weight, Volume & Time
4. Angle, Circle & Length
5. Decimal & Fraction

 

Grade 4

1. Mixed Operation of Multiplication & Division
2. Large Number & Rounding
3. Decimal & Fraction
4. Perimeter & Surface Area
5. Triangle, quadrilateral & volume

 

Grade 5

1. Multiplication of decimal & fraction
2. Ratio & percentage
3. 2D shapes & Line symmetry
4. Surface area & Volume
5. Calculation of time

 

Grade 6

1. Surface Area & Volume of Cylinder
2. Mixed Operation of fraction & decimal
3. Speed
4. Alignment Formula
5. Ratio & Proportional Scale

 

Grade 7

1. Integers, Fractions and Decimals
2. Exponents and Powers
3. Algebraic Expressions
4. Simple Linear Equations
5. Lines and Angles
6. Comparing Quantities
7. The Triangle and its Properties
8. Symmetry
9. Congruence of Triangles
10. Rational Numbers
11. Perimeter and Area
12. Data Handling
13. Visualizing Solid Shapes
14. Practical Geometry

 

Grade 8

1. Rational Number
2. Squares and Square Roots
3. Cubes and Cube Roots
4. Exponents and Powers
5. Comparing Quantities
6. Algebraic Expressions & Identities
7. Linear Equations in One Variable
8. Understanding Quadrilaterals
9. Constructions & Mensuration
10. Visualizing Solid Shapes
11. Data Handling
12. Direct and Inverse Variations
13. Factorization
14. Introduction to Graphs
15. Playing with Numbers

 

Grade 9

1. Number Systems
2. Polynomials
3. Coordinate Geometry
4. Linear Equations in Two Variables
5. Introduction to Euclid’s Geometry
6. Lines and Angles
7. Triangles & Quadrilaterals
8. Areas of Parallelograms & Triangles, Circles
9. Constructions
10. Heron’s Formula
11. Surface Areas and Volumes
12. Statistics
13. Probability

 

 

Grade 10

1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles
7. Coordinate Geometry
8. Introduction to Trigonometry
9. Some Applications of Trigonometry
10. Circles
11. Constructions
12. Areas Related to Circles
13. Surface Areas and Volumes
14. Statistics
15. Probability

 

Grade 11 – 12

1. Sets, Relations and Functions
2. Principle of Mathematical Induction
3. Logarithms
4. Complex Numbers & Quadratic Equations
5. Linear Inequations
6. Sequences and Series
7. Trigonometry
8. Straight Lines
9. Conic Sections
10. Permutations and Combinations
11. Binomial Theorem
12. Statistics
13. Mathematical Reasoning
14. Limits and Derivatives
15. Probability
16. Basic 3D shapes