WEEK

TOPIC / CONTENT

ACTIVITIES

1

ROOTS OF QUADRATIC EQUATION
i. Sum and product of roots
ii. forming quadratic equation given sum and product of root
iii. condition for quadratic equation to have:
 Equal roots (b^{2}=4ac)
 Real roots (b^{2}>4ac)
 No roots (b^{2}<4ac) (complex)

Teacher: leads students to find sum and products of roots of quadratic equation
Students: use formular to find sum and product of roots of quadratic equation
Instructional Resource: charts showing a quadratic equation

2

ROOTS OF QUADRATIC EQUATION II
i. Conditions for given line to intersect a curve, be tangent to curve, not intersect a curve.
ii. Solution of problems on roots of quadratic equation

Teacher: states condition for quadratic equation to have equal roots, real roots and no roots(complex roots).
Students: solve various problems on root of quadratic equation
Instructional Resource: charts showing condition for lines to intersect curve and not to intersect.

3

POLYNOMIALS
i. Definition of polynomial
a. addition
b. subtraction
c. multiplication
ii. Division of polynomials by a polynomial of lesser degree

Teacher: gives definition and examples of polynomials
Students: state definition and examples of polynomial
Instructional Resource: charts giving examples of polynomials of various degrees.

4

POLYNOMIALS
i. Reminder theorem
ii. Factor theorem
iii. Factorization of polynomials

Teacher: demonstrates how to find remainder when a polynomial is divided by another polynomial of lesser degree.
Students: solve problems on remainder theorem and factor theorem
Instructional Resource: charts showing sum of root and product.

5

POLYNOMIALS
i. Roots of cubic equation
a. Sum of roots α+ᵝ+ᵟ = b/a
b. sum products of two roots
α ᵝ + αᵟ + ᵝᵟ = c/a
c. product of roots αᵝᵟ = d/a where ax^{3}+bx^{2}+cx+d=0

Teacher: leads students to solve problem on roots of cubic equation
Students: solve problems on roots of cubic equation.
Instructional Resource: charts showing sum of roots, sum of product of two roots and products of three roots of a cubic equation.

6

PROBABILITY
i. Classical, frequential and axiomative approaches to probability
ii. Sample space and event space
iii. Mutually exclusive, independent and conditional events.

Teacher: leads students to evolve concepts of classical and frequential approaches using ludo dice.
Students: identify the classical, frequential and axiomatic definition of probability
Instructional Resource: ludo dice, coin, pack of cards.

7

PROBABILITY
i. Conditional probability
ii. Probability trees

Teacher: solves conditional probability
Students: solve problems on conditional probability
Instructional Resource: ludo dice, coin, pack of cards.

8

VECTORS IN THREE DIMENSIONS
i. Scalar product of vector in three dimensions
ii. Application of scalar product

Teacher: gives examples of vectors in three dimensions
Students: write out more examples of three dimensional vectors
Instructional Resource: charts depicting example of three dimensional vectors.

9

VECTORS IN THREE DIMENSIONS
i. Vector or cross product in three dimensions
ii. Application of cross product

Teacher: guides students to find cross product of two vectors and leads them to solve problems on application
Students: solve problem on cross product of two vector and practical application of dot product.
Instructional Resource: charts showing short cut method of finding dot product.

10

LOGICAL REASONING
i. Fundamental issues in intelligent system
ii. Fundamental definition
iii. Modelling the world.

Teacher: guides students to identify fundamental issues in intelligent system
Students: Identify fundamental issue in intelligent system
Instructional Resource: charts showing critical issues in intelligent system.

11

LOGICAL REASONING
i. Introduction to propositional and predicate logical resolution
ii. Introduction to theorem proving

Teacher: introduces propositional and predicate logical resolution
Students: explain propositional and predicate resolution
Instructional Resource: charts showing points to note in proving of theorem.

12

Revisions

Revisions

13

Examinations

Examinations

14

Examinations

Examinations
