Course Outline

INTERNATIONAL FSP CONTESTS

MATHEMATICS CONTEST

OVERVIEW OF THE COURSE OUTLINE AND LEARNING OBJECTIVES

GRADE I & II

1.  MONEY

• Topics: Addition and subtraction of money
  
  • Focus: Basic understanding of currency, simple transactions involving addition and subtraction of amounts.

2.  TIME

• Topics: Clock, telling time
  
  • Focus: Introduction to clock faces, recognizing hours and possibly half hours.

3.  SHAPES

• Topics: Naming & Recognition of shapes
  
  • Focus: Identifying basic shapes like circles, squares, triangles, rectangles.

4.  FRACTIONS

• Topics: Half, Quarter
  
  • Focus: Basic introduction to simple fractions using everyday examples.

5.  PRE-NUMBER CONCEPTS

• Topics: Tall, short, big, small
  
  • Focus: Understanding basic comparisons and attributes of objects.

6.  NUMBERS

• Topics: Odd and Even Numbers
  
  • Focus: Recognizing and identifying odd and even numbers.

7.  ARITHMETIC OPERATIONS

• Topics: Addition and subtraction with 1-digit and 2-digit numbers
  
  • Focus: Basic addition and subtraction problems involving single and double-digit numbers.

GRADE III & IV

1.  FRACTIONS

• Topics: Addition and subtraction with same denominator
  
  • Focus: Understanding fractions, performing basic operations with like denominators.

2.  DECIMALS

• Topics: Addition and subtraction of decimals
  
  • Focus: Introduction to decimals, basic operations aligning decimal points.

3.  GEOMETRY & MEASUREMENT

• Topics:
  • Perimeter and Area of square and Rectangle
  • Angles- Types of angles (acute, right, obtuse)
  • Focus: Calculating perimeter and area; recognizing angle types.

4.  NUMBERS

• Topics: Place Value
  
  • Focus: Understanding place value up to thousands or more.

5.  ARITHMETIC OPERATIONS

• Topics: Addition, Subtraction, Multiplication, Division
  
  • Focus: Applying operations with multi-digit numbers, understanding properties.

6.  MONEY

• Topics: Four Arithmetic operations (addition, subtraction, multiplication, division)
  
  • Focus: Applying math operations to monetary amounts, basic transactions.

GRADE V & VI

1.  ARITHMETIC OPERATIONS

• Focus: Mastery of addition, subtraction, multiplication, division with larger numbers and decimals.

2.  FACTORS & MULTIPLES

• Topics: Factors, multiples, prime numbers, LCM, HCF
  
  • Focus: Understanding relationships between numbers.

3.  FRACTIONS & PERCENTAGES

• Topics:
  • Expressing fractions as percentages
  • Expressing percentages as fractions
  • Focus: Conversions and applications of fractions and percentages.

4.  ALGEBRA

• Topics: Introduction to basic algebraic expressions, variables
  
  • Focus: Representing unknowns, simple equations.

5.  VOLUME

• Topics: Volume of cube and cuboid
  
  • Focus: Calculating volume using formulas ($V = l \times w \times h$ for cuboid).

6.  DECIMALS

• Topics: Multiplication & Division of decimals
  
  • Focus: Operations with decimals, aligning with place value.

7.  ROUNDING NUMBERS

• Topics: Rounding to nearest whole number, tenth, hundredth
  
  • Focus: Estimation and approximation techniques.

GRADE VII & VIII

1.  EXPONENTS AND POWERS

• Topics: Laws of exponents, expressing numbers in exponential form
  
  • Focus: Understanding and applying rules of exponents.

2.  AREA

• TOPICS: AREA OF POLYGONS, PARALLELOGRAM

  • Focus: Calculating areas of various shapes using formulas.

3.  PROPORTION

• Topics: Direct and inverse proportion
  
  • Focus: Understanding relationships between quantities, solving problems.

4.  RATIONAL NUMBERS

• Topics: Operations with rational numbers, properties
  
  • Focus: Working with fractions and their representations.

5.  DATA HANDLING

• Topics: Mean, Median, Mode
  
  • Focus: Analyzing data using measures of central tendency.

6.  RATIOS & PERCENTAGES

• Topics: Applications of ratios, percentage calculations
  
  • Focus: Solving problems involving comparisons and changes.
• SQUARE AND SQUARE ROOTS
  • Topics: Squares, square roots, perfect squares
  • Focus: Understanding relationships between numbers.

8.  ALGEBRAIC EXPRESSIONS

• Topics: Forming expressions, simplification, operations
  
  • Focus: Introduction to manipulating algebraic expressions.

GRADE IX & X

1.  TRIGONOMETRIC RATIOS

• Topics: Basic trigonometric ratios (sine, cosine, tangent), identities
  
  • Focus: Applying trigonometry to solve problems involving angles and triangles.

2.  STATISTICS (GROUPED DATA)

• Topics: Mean, Median, Mode for grouped data
  
  • Focus: Analyzing and interpreting data using central tendency measures.

3.  EXPONENTIAL AND LOGARITHM FUNCTIONS

• Topics: Properties of exponents, logarithmic functions, equations
  
  • Focus: Understanding growth patterns, solving exponential/log equations.

4.  REAL NUMBERS

• Topics: Properties, operations involving real numbers, irrational numbers
  
  • Focus: Understanding number systems and relationships.

5.  POLYNOMIALS

• Topics: Operations, factorization, remainder theorem
  
  • Focus: Manipulating and solving polynomial expressions/equations.

6.  EQUATIONS

• Topics: Linear Equations, Quadratic Equations
  
  • Focus: Solving equations using various methods (factorization, formula).

7.  MATRICES

• Topics: Basic operations, types of matrices
  
  • Focus: Introduction to matrix algebra and applications.

8.  GEOMETRY

• Topics:
  • Lines and angles (properties, theorems)
  • Surface area and volume– Cube, Cuboid and Sphere
  • Focus: Applying formulas for surface area/volume; understanding geometric relationships.

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