AP TET Paper - 1A Mathematics Syllabus

AP TET 2024 MATHEMATICS SYLLABUS (30 Marks)

Content (24 Marks)

1. NUMBERS

• Four fundamental operations: Addition, Subtraction, Multiplication, Division
• Knowing about Numbers
• Hindu-Arabic system of numeration: Indian system of numeration
• International system of numeration: British system of numeration
• Place value and face values of a digit in a number
• Comparing and ordering of numbers
• Whole numbers
• Factors and multiples
• Prime and composite numbers
• Even and odd numbers
• Tests for divisibility of numbers
• Common factors and common multiples
• Prime factorization
• Highest Common Factor (G.C.D)
• Lowest Common Multiple
• Integers: Properties and fundamental operations
• Fractions and decimals:
  • Types of fractions
  • Comparison
  • Applications of fractions in daily life
  • Four fundamental operations on fractions and decimals
• Rational numbers:
  • Properties of rational numbers
  • Rational numbers between two rational numbers
  • Four fundamental operations on rational numbers
  • Product of reciprocals
• Squares:
  • Square roots (numbers and decimals)
  • Properties of square numbers
• Cubes
  • Cube roots of numbers
• Playing with numbers:
  • Games with numbers
  • Letters for digits

2. ARITHMETIC

• BODMAS rule
• Ratios and proportions:
  • Direct, Inverse
  • Comparing quantities using ratios, proportion, percentage and their applications
• Profit and Loss
• Discount
• Sales Tax/Value Added Tax/Goods and Services Tax
• Simple, Compound Interest and their applications

3. GEOMETRY

• Basic geometrical concepts: Point, Line, Line segment, Ray, Curves, Polygons, Angles
• Measuring of lines
• Pairs of lines
• Elements of angles
• Measuring of angles
• Types of angles
• Naming of the given 2D figures: Triangles, Square and Rectangle
• The Triangle:
  • Types of triangles and its properties
  • Classification of polygons
  • Angle sum property
• Kinds of quadrilaterals: Trapezium, Kite, Parallelogram
• Some special parallelograms: Rhombus, Rectangle, Square
• Constructing different types of quadrilaterals
• Views of 3D-shapes
• Identification of edges, vertices and faces of 3D figures: Euler’s Rule
• Nets for building 3D shapes

4. DATA HANDLING

• Reading, interpreting, and analyzing the data: Pictograph, Tally marks, Bar graphs, Double bar graph, Pie charts
• Arithmetic Mean
• Mode
• Median of un-grouped data
• Chance and Probability

5. ALGEBRA

• Patterns: Making rules
• The idea of variables
• Formation of algebraic expressions: Terms, Factors, and Coefficients
• Linear equations in one variable
• Terms and types of algebraic expressions
• Finding the value of an expression
• Addition, subtraction, and multiplication of algebraic expressions:
  • Multiplying a monomial by a monomial and polynomial
  • Multiplying a polynomial by a polynomial
  • Standard identities and their applications
  • Applications of simple equations to practical situations
• Exponents and powers:
  • Negative exponents
  • Laws of exponents
  • Expressing large numbers in the standard form
• Factorization
• Division of algebraic expressions: Polynomial ÷ Polynomial
• Linear graphs

6. MENSURATION

• Measuring: Length, Weight, Capacity, Time-Seasons, Calendar, Money, Area
• Symmetry: Line and Rotational
• Perimeter: Triangle, Square, Rectangle, Rhombus, Trapezium, Parallelogram, Circle, and Polygon
• Area of a quadrilateral
• Surface area and volume: Cube, Cuboid, Cylinder
• Volume and capacity

Methodology (6 Marks)

• Nature and definitions of Mathematics
• Aims, values, and instructional objectives of teaching Mathematics
• Methods of teaching & remedial measures in Mathematics
• Instructional material, TLM, and resource utilization in Mathematics
• Curriculum, textbook, and instructional planning
• Evaluation and Continuous Comprehensive Evaluation