AP TET Paper 1 is meant for Classes from 1st to 5th and Paper 2 is for Class 6th to 10th. So the Standard of Mathematics Paper for both Papers is not the Same. Here is the Syllabus and Study Material for both Papers.
AP TET Paper 1 – MATHEMATICS (30 Marks)
Content (24 Marks)
| NUMBERS | 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. |
| 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. |
| 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 of 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. |
| DATA HANDLING | Reading and interpreting and analysing the Data (pictograph, tally marks, bar graphs, double bar graph, pie charts) – Arithmetic Mean – Mode – Median of un-grouped data – Chance and Probability. |
| 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 – Factorisation – Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial) – Linear Graphs |
| MENSURATION | Measuring Length, Weight, Capacity, Time-Seasons, Calendar, Money, Area – Symmetry (Line and Rotational) – Perimeter of Triangle, Square, Rectangle, Rhombus, Trapezium, Parallelogram, Circle and Polygon), Area of a Quadrilateral, Surface Area and Volume of Cube, Cuboid and Cylinder – Volume and capacity. |
Methodology (6 Marks)
- Nature and Definitions of Mathematics
- Aims, values and instructional objectives ofteaching Mathematics
- Methods ofTeaching & Remedial measures in Mathematics
- Instructional Material, TLM and Resource Utilization in Mathematics
- Curriculum, Text Book & Instructional Planning.
- Evaluation and Continuous Comprehensive Evaluation
AP TET Paper 2 – MATHEMATICS (30 Marks)
Content (24 Marks)
NUMBER SYSTEM
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 factorisation – 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 – Euclid’s Division Lemma and its application – Rational Numbers – Properties of Rational Numbers – Representation of Rational Numbers on the Number line – Rational Numbers between two rational numbers – Four fundamental Operations on Rational Numbers – Rational numbers and their decimal expansions – Non-terminating, recurring decimals in 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 – Irrational numbers – Real Numbers and their Decimal Expansions – Operations on Real Numbers – Laws of Exponents for Real Numbers – Properties & Laws of logarithms. Sets and their representation (Roster form and Set builder form) – Classification of sets (Empty, Universal, subset, Finite & Infinite, disjoint sets) – difference of sets – Equal sets – Using diagrams to represent sets – Venn diagrams and cardinality of sets – Basic operations on sets (Union, Intersection).
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.
GEOMETRY
Basic geometrical concepts (Point, Line, Line segment, Ray, Curves, Polygons, Angles) – Measuring of Lines – Pairs of Lines – Intersecting Lines and Non-intersecting Lines – Lines parallel to the same line – Elements of Angles – Measuring of Angles – Types of Angles – Pairs of Angles – Naming of the given 2D figures of Triangles, Square and Rectangle – The Triangle – Types of Triangles and its Properties – Congruence and some properties of Triangles – Some more criteria for Congruence of Triangles – Criteria for similarity of triangles – Areas of similar triangles – Pythagoras theorem – 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 – Introduction to Euclid’s geometry – Euclid’s definitions, axioms and postulates – Angle Subtended by a Chord at a Point – Perpendicular from the Centre to a Chord – Equal Chords and Their Distances from the Centre – Angle Subtended by an Arc of a Circle – Cyclic Quadrilaterals – Tangents of a circle – Number of Tangent to a Circle from any point – Segment of a circle formed by a Secant.
STATISTICS
Reading and interpreting and analysing the Data (pictograph, tally marks, bar graphs, double bar graph, pie charts) – Graphical Representation of Data (Bar graphs, Histogram, Frequency polygons) Measures of Central tendency – Arithmetic Mean – Mode – Median of un-grouped, grouped data Graphical representation of cumulative frequency distribution – Ogive curves.
ALGEBRA
Patterns – making rules – The idea of variables – formation of algebraic expressions -Terms, Factors and Coefficients – Linear equations in one variable – Linear equations in two variables – Solutions of Pair of Linear Equations in Two Variables – Algebraic methods of finding the solutions for a pair of linear equations -Equations reducible to a pair of linear equations in two variables -Solution of a quadratic equation by factorisation & by completing the square – Nature of roots – 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 – Factorisation – Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial) – Linear Graphs – Polynomials in one variable – Degree, Value, zeroes of a polynomial – Geometrical meaning of the Zeroes of a Polynomial – Graphical representation of linear, Quadratic and Cubic Polynomials – Factorisation of Polynomials – Algebraic Identities – Working with Polynomials – Division algorithm for polynomials – Arithmetic progressions – Parameters of Arithmetic progressions – nth term of an Arithmetic progression – Sum of first n terms in Arithmetic progression – Geometric progressions – nth term of a GP.
MENSURATION
Measuring Length, Weight, Capacity, Time-Seasons, Calendar, Money, Area – Symmetry (Line and Rotational) – Perimeter of Triangle, Square, Rectangle, Rhombus, Trapezium, Parallelogram, Circle and Polygon, Properties of a Parallelogram – The Mid-point Theorem – Area of a Quadrilateral, Surface Area and Volume of Cube, Cuboid and Cylinder -Volume and capacity – Surface Area and volume of a Sphere – Volume of a Right Circular Cone – Surface area of the combination of Solids, Volume of a combination of solids – Conversion of solid from one shape to another
PROBABILITY
Probability – Linking chances to probability – Chance and probability related to real life – Probability – a theoretical approach – Mutually exclusive events – Finding probability – Complementary events and probability – Impossible and certain events – Deck of Cards and Probability – Use and Applications of probability.
CO-ORDINATE GEOMETRY
Cartesian System – Distance between two points – distance between two points on a line parallel to the co-ordinate axis – Distance between any two points on a line in the x-y plane – Section formula – centroid of a triangle – Tri-sectional points of a line – Area of the triangle – Heron’s formula- Collinearity – Straight lines – Slope of the straight line – slope of a line joining two points.
TRIGONOMETRY
Trigonometry – Naming the sides in a Right triangle – Trigonometric Ratios – Defining Trigonometric Ratios – Trigonometric ratios of some specific and complementary angles – Trigonometric identities – Applications of Trigonometry – Drawing figures to solve problems – solutions for two triangles.
Methodology (6 Marks)
- Meaning and Nature of Mathematics, History of Mathematics.
- Contributions of Great Mathematicians – Aryabhatta, Bhaskaracharya, Srinivasa Ramanujan, Euclid, Pythagoras, George cantor.
- Aims and Values of teaching Mathematics, Instructional objectives (Blooms taxonomy)
- Mathematics curriculum: Principles, approaches of curriculum construction, -Logical and Psychological, Topical and Concentric, Spiral approaches. Qualities of a good Mathematics text book.
- Methods of teaching mathematics- Heuristic method, Laboratory method, Inductive and Deductive
- methods, Analytic and Synthetic methods, Project method and Problem Solving method.
- Unit Plan, Year Plan, Lesson Planning in Mathematics.
- Instructional materials, Edgar Dale’s Cone of Experience.
- Evolving strategies for the gifted students and slow learners
- Techniques of teaching mathematics like Oral work, Written work, Drilling, Assignment, Project, Speed and Accuracy.
- Mathematics club, Mathematics structure, Mathematics order and pattern sequence.
- Evaluation – Types, Tools and Techniques of Evaluation, Preparation of SAT Analysis, Characteristics of a good test
