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Super TET / State TET Mathematics (Ganit) and Its Pedagogy Syllabus
The Mathematics (Ganit) and Its Pedagogy syllabus for Super TET / State TET in full: 4 chapters, 15 topics and 33 sub-topics, every one listed below, plus 50 Mathematics (Ganit) and Its Pedagogy flashcards with answers.
Mathematics (Ganit) and Its Pedagogy syllabus: all 4 chapters
Expand any chapter to see its topics and sub-topics.
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Number System and Arithmetic
4 topics- Number System
- Natural, whole, integers, rational and real numbers
- Place value, face value and number operations
- Divisibility rules, factors, HCF and LCM
- Fractions, Decimals and Simplification
- Operations on fractions and decimals
- Simplification using BODMAS and surds
- Ratio, Proportion and Percentage
- Ratio and proportion problems
- Percentage and its applications
- Average and partnership
- Commercial Mathematics
- Profit, loss and discount
- Simple and compound interest
- Time and work; time, speed and distance
- Number System
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Algebra
3 topics- Algebraic Expressions and Identities
- Operations on polynomials
- Standard algebraic identities and factorisation
- Equations
- Linear equations in one and two variables
- Quadratic equations
- Exponents and Indices
- Laws of exponents
- Problems based on indices
- Algebraic Expressions and Identities
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Geometry and Mensuration
4 topics- Lines, Angles and Triangles
- Types of angles and lines
- Properties and congruence of triangles
- Polygons and Circles
- Quadrilaterals and their properties
- Circle: chord, tangent and angle properties
- Mensuration
- Perimeter and area of 2D figures
- Surface area and volume of 3D solids
- Coordinate Geometry Basics
- Cartesian plane and plotting points
- Distance between two points
- Lines, Angles and Triangles
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Data Handling and Pedagogy of Mathematics
4 topics- Statistics and Data Handling
- Collection and representation of data (bar graph, pie chart)
- Mean, median and mode
- Nature and Aims of Teaching Mathematics
- Nature of mathematics and place in curriculum
- Aims and values of teaching mathematics
- Methods and Approaches
- Inductive-deductive, analytic-synthetic, problem-solving methods
- Use of teaching aids and mathematics laboratory
- Evaluation and Remediation
- Diagnostic testing and error analysis
- Remedial teaching in mathematics
- Statistics and Data Handling
Super TET / State TET Mathematics (Ganit) and Its Pedagogy flashcards — 50 questions with answers
What are natural numbers, and what is the smallest natural number?
Natural numbers are the counting numbers 1, 2, 3, ... The smallest natural number is 1.
What is the difference between whole numbers and natural numbers?
Whole numbers include 0 along with all natural numbers (0, 1, 2, 3, ...), while natural numbers start from 1.
How do you classify a number as prime or composite?
A prime number has exactly two factors (1 and itself); a composite number has more than two factors. 1 is neither prime nor composite.
What is the only even prime number?
2 is the only even prime number; all other even numbers are divisible by 2 and hence composite.
What is the divisibility rule for 3 and for 9?
A number is divisible by 3 if the sum of its digits is divisible by 3; divisible by 9 if the digit sum is divisible by 9.
What is the divisibility rule for 11?
A number is divisible by 11 if the difference between the sum of digits in odd positions and even positions is 0 or a multiple of 11.
What is the relationship between HCF and LCM of two numbers?
For two numbers, HCF × LCM = product of the two numbers.
How do you add two fractions with different denominators?
Find the LCM of the denominators, convert each fraction to an equivalent fraction with that common denominator, then add the numerators.
What is the BODMAS/BIDMAS order of operations?
Brackets, Orders (powers/roots), Division and Multiplication (left to right), then Addition and Subtraction (left to right).
How do you convert a fraction to a decimal and a decimal to a percentage?
Divide the numerator by the denominator to get a decimal; multiply a decimal by 100 to get a percentage.
How do you divide one fraction by another?
Multiply the first fraction by the reciprocal of the second fraction (invert the divisor and multiply).
What is the difference between a proper, improper, and mixed fraction?
Proper: numerator < denominator. Improper: numerator ≥ denominator. Mixed: a whole number combined with a proper fraction.
What is a ratio and how is it expressed?
A ratio compares two quantities of the same kind by division, written as a:b or a/b, where b ≠ 0.
What does it mean for four quantities a, b, c, d to be in proportion?
They are in proportion if a:b = c:d, meaning a×d = b×c (product of extremes equals product of means).
In the proportion a:b = c:d, which terms are the means and which are the extremes?
a and d are the extremes; b and c are the means.
How do you calculate what percentage one number is of another?
Percentage = (part / whole) × 100.
How do you find the original value when a percentage and the result are known?
If a value after an x% change is V, the original = V ÷ (1 ± x/100), using + for increase and − for decrease.
What is the formula for simple interest?
Simple Interest (SI) = (P × R × T) / 100, where P = principal, R = rate per annum, T = time in years.
What is the formula for compound interest amount compounded annually?
A = P(1 + R/100)^n, where A = amount, P = principal, R = rate per annum, n = number of years. CI = A − P.
How do you calculate profit/loss percentage?
Profit% = (Profit / Cost Price) × 100; Loss% = (Loss / Cost Price) × 100. Both are calculated on the cost price.
Show the other 30 Mathematics (Ganit) and Its Pedagogy flashcards
What is the formula relating Selling Price, Marked Price, and Discount?
Selling Price = Marked Price − Discount; Discount% = (Discount / Marked Price) × 100.
What is the difference between a variable, a constant, and a coefficient in an algebraic expression?
A variable is a symbol for an unknown (e.g., x); a constant has a fixed value; a coefficient is the numerical factor multiplying a variable (e.g., 5 in 5x).
State the identity for (a + b)².
(a + b)² = a² + 2ab + b².
State the identity for (a − b)².
(a − b)² = a² − 2ab + b².
State the identity for (a + b)(a − b).
(a + b)(a − b) = a² − b².
State the identity for (x + a)(x + b).
(x + a)(x + b) = x² + (a + b)x + ab.
What is the difference between a monomial, binomial, and trinomial?
A monomial has one term, a binomial has two terms, and a trinomial has three terms in an algebraic expression.
What is a linear equation in one variable, and how many solutions does it have?
An equation of the form ax + b = 0 (a ≠ 0) where the highest power of the variable is 1; it has exactly one solution.
What is the standard form and degree of a quadratic equation?
Standard form: ax² + bx + c = 0 (a ≠ 0); its degree is 2 and it has at most two solutions.
What is the quadratic formula for solving ax² + bx + c = 0?
x = [−b ± √(b² − 4ac)] / (2a).
State the laws of exponents for multiplication and division of like bases.
a^m × a^n = a^(m+n); a^m ÷ a^n = a^(m−n).
What is the value of any non-zero number raised to the power zero, and the meaning of a negative exponent?
a⁰ = 1 (a ≠ 0); a^(−n) = 1/a^n.
State the law of exponents for a power raised to another power.
(a^m)^n = a^(m×n).
What is the sum of angles in a triangle, and what is an exterior angle equal to?
The sum of the interior angles of a triangle is 180°; an exterior angle equals the sum of the two opposite interior angles.
Define complementary and supplementary angles.
Complementary angles add up to 90°; supplementary angles add up to 180°.
What are vertically opposite angles, and what is true about them?
When two lines intersect, vertically opposite angles are the angles opposite each other; they are always equal.
Classify triangles by their sides.
Equilateral (all three sides equal), isosceles (two sides equal), and scalene (all sides different).
State the Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: c² = a² + b².
What is the formula for the sum of interior angles of a polygon with n sides?
Sum of interior angles = (n − 2) × 180°.
What is the relationship between a radius, diameter, and circumference of a circle?
Diameter = 2 × radius; Circumference = 2πr = πd.
What is the formula for the area of a circle and the area of a triangle?
Area of a circle = πr²; Area of a triangle = ½ × base × height.
State the formulas for the area and perimeter of a rectangle.
Area = length × breadth; Perimeter = 2 × (length + breadth).
What is the formula for the volume and total surface area of a cube of side a?
Volume = a³; Total surface area = 6a².
What is the formula for the volume of a cylinder?
Volume of a cylinder = πr²h, where r = radius of the base and h = height.
What are the coordinates of the origin, and how do the four quadrants differ in sign?
Origin = (0, 0). Quadrant I (+,+), II (−,+), III (−,−), IV (+,−).
How are mean, median, and mode defined?
Mean = sum of observations ÷ number of observations; Median = the middle value when data is arranged in order; Mode = the most frequently occurring value.
What is the range of a data set, and how is it calculated?
Range = highest value − lowest value; it measures the spread of the data.
What are the main aims of teaching mathematics at the school level?
To develop logical thinking, problem-solving and reasoning skills, numeracy for daily life, and the ability to apply mathematical concepts practically (utilitarian, disciplinary, cultural, and social aims).
What is the difference between the inductive and deductive methods of teaching mathematics?
Inductive method moves from particular examples to a general rule (specific to general); deductive method applies an established rule/formula to specific problems (general to specific).
What is diagnostic testing and remedial teaching in mathematics?
Diagnostic testing identifies a learner's specific errors and learning gaps, while remedial teaching provides targeted instruction to correct those identified weaknesses.
Super TET / State TET Mathematics (Ganit) and Its Pedagogy FAQ
What is in the Super TET / State TET Mathematics (Ganit) and Its Pedagogy syllabus?
Super TET / State TET Mathematics (Ganit) and Its Pedagogy is split into 4 chapters: Number System and Arithmetic, Algebra, Geometry and Mensuration and Data Handling and Pedagogy of Mathematics. Together they contain 15 topics and 33 sub-topics.
How many chapters are in Super TET / State TET Mathematics (Ganit) and Its Pedagogy?
4 chapters, containing 15 topics and 33 sub-topics. The largest chapter is Number System and Arithmetic, with 4 topics.
Are there flashcards for Super TET / State TET Mathematics (Ganit) and Its Pedagogy?
Yes — a 50-card Mathematics (Ganit) and Its Pedagogy deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.