AP TET Paper - 1A Mathematics Syllabus

AP TET Paper-1A consists of 150 questions for 150 marks. Below is the complete syllabus for Mathematics.

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
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