Unit One: Mathematics Instructional Pedagogy

1.1 Analytical study of basic level (grade 6–8) mathematics curriculum
1.2 Use of learning theories in mathematics teaching (Piaget’s theory, Bruner’s theory, Reflect learning theory)
1.3 Construction materials and teaching methods for teaching basic level (grade 6–8) mathematics
1.4 Instructional planning and classroom management

Unit Two: Teaching Arithmetic and Mensuration

2.1 Real numbers, fraction, decimal and percentage
2.2 Ratio and proportion
2.3 Profit and loss, simple and compound interest
2.4 Perimeter and area of plane figures (triangle, quadrilateral and circles)
2.5 Introduction of line, angle and solids (cube, cuboid, cylinder, cone and sphere)

Unit Three: Algebra

3.1 Introduction and classification of algebraic expression and polynomials
3.2 Multiplication and division of algebraic expressions
3.3 Factorization of algebraic expression using identities and factor theorem
3.4 Simplification of rational algebraic expressions
3.5 Solution of equation in one variable and two variables using various methods
3.6 Introduction to quadratic equations and solution of quadratic equations by factorization method

Unit Four: Teaching Geometry

4.1 Lines and angles, triangle, bisectors, perpendicular lines, construction of parallel and perpendicular lines, classification and construction of angles, different pairs of angles with experimental verification
4.2 Triangles (congruency and similarity), classification and properties, construction of triangles, quadrilaterals, circles, arcs, chord, tangent and sector
4.3 Congruency and similarity of triangles
4.4 Coordinates in geometry, Pythagoras theorem and distance between two points
4.5 Transformation (reflection, translation and rotation, symmetry and tessellation)

Unit Five: Teaching Set and Statistics

5.1 Introduction of sets, types of sets and subsets
5.2 Set operations
5.3 Venn diagram and application
5.4 Data presentation using graphical representation (bar graph, line graph, pie chart)
5.5 Mean, median, mode and range

Unit Six: Number System, Logics and Linear Programming

6.1 Characteristics of different number systems and bases other than ten (binary, quinary, octal and hexadecimal)
6.2 Symbolic logic (∧, ∨, →) and truth table
6.3 Counting system: permutation and combination, sequence, series and principle of mathematical induction
6.4 Linear programming: introduction, solution of linear programming problem (graphical method)

Unit Seven: Algebra and Binomial Expansion

7.1 Relations and functions, binary operation and group structure
7.2 Matrices and determinants, determinants and its properties
7.3 System of linear equations and their solution (matrix method, row equivalent method, Cramer’s rule)
7.4 Quadratic equation (relation between roots and coefficients)
7.5 Binomial expansion

Unit Eight: Analytic Geometry

8.1 Equation of straight lines and angle between two lines
8.2 Distance between a point and a line
8.3 Pair of lines and angle between pair of lines
8.4 Conic sections (classification, general equation and their parts)

Unit Nine: Euclidean and Transformational Geometry

9.1 Fundamental of Euclidean geometry: history and development, fundamental properties
9.2 Euclidean geometry and axiomatic system
9.3 Euclid’s fifth postulate and its substitutes
9.4 Theorems on parallel lines, triangles, quadrilaterals and circles
9.5 Transformation Geometry: isometric transformations (reflection, translation and rotation) and non-isometric transformation (enlargement and reduction)

Unit Ten: Statistics and Probability

10.1 Measures of central tendency: arithmetic mean, weighted mean, combined mean, median and mode
10.2 Measures of dispersion: range, interquartile range, mean deviation, standard deviation and coefficient of variation
10.3 Probability: experimental and regression line
10.4 Random variables and laws of probability (binomial distribution and poisson distribution)

Specification Grid (Summary)

• Teaching Instructional Pedagogy – 10 marks
• Teaching Arithmetic – 10 marks
• Teaching Algebra – 10 marks
• Teaching Set and Statistics – 10 marks
• Number System, Logics & Linear Programming – 10 marks
• Algebra & Binomial Expansion – 10 marks
• Analytic Geometry – 10 marks
• Euclidean & Transformational Geometry – 10 marks
• Statistics & Probability – 10 marks

Notes

1. This curriculum is divided into sections A & B
2. Generally first section A, questions will be asked related to pedagogy
3. Some units of question will be asked covering cognitive level
4. Separate answer sheets will be used for each section
5. This curriculum will be effective from 2077/02/29