WEEK FIVE FURTHER MATHEMATICS, SS2, SECOND TERM , SS2 FURTHER MATHS SECOND TERM VECTORS IN THREE DIMENSIONS CONTENTS (a) Vectors or cross product in three dimensions and Properties of vector product. (b) Utility of cross product. SUB TOPIC: VECTOR OR CROSS PRODUCT AND PROPERTIES If a, b and c are three vectors, then ax(bxc) and
WEEK FOUR SS2 FURTHER MATHS SECOND TERM VECTORS IN THREE DIMENSIONS CONTENTS (a) Scalars Product of Vectors in Three Dimensions (b) Application of Scalar Product SUB TOPIC: SCALAR PRODUCT OF VECTORS IN THREE DIMENSIONS The scalar product of three vectors a,b and c is defined as a.(bxc) which is a scalar quantity. If three vectors
WEEK THREE SS2 FURTHER MATHS SECOND TERM DIFFERENTIATION 3 CONTENT (a) Application of Differentiation (b) Differentiation of Implicit Functions. SUB TOPIC: APPLICATION OF DIFFERENTIATION Examples: Suppose an object is dropped from rest from a given height, the distance s through which the object has dropped after t seconds (ignoring air resistance) is given by the
WEEK TWO SS2 FURTHER MATHS SECOND TERM DIFFERENTIATION 2 CONTENT (a) Differentiation of Transcendental Functions such as Sin x,eax log 3x. (b) Rules of Differentiation: Product rule, Quotient rule, Function of function. (c) Higher Derivative SUB TOPIC: DIFFERENTIATION OF TRANSCENDENTAL FUNCTIONS The following are called transcendental functions and their derivatives are called identities: Derivative of
WEEK ONE DIFFERENTIATION 1 CONTENTS (a) Limits of a Function (b) Differentiation from First Principle (c) Differentiation of Polynomials SUB TOPIC: LIMITS OF A FUNCTION A function is a value that describes how a value of the variable is maniplutated to generate a value of an equation Other symbols that can be used for functions
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 SCHEME OF WORK WEEK TOPICS Polynomials 1: (a) Definition of polynomials (b) Basic operations on polynomials. (c) Remainder and factor theorem. (d) Zeros of polynomials. Polynomials 2: (a) Roots of cubic equation: Sum of roots; Sum of products of two Roots; Products of roots. (b) Graphs of polynomial
WEEK 9 SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 FURTHER MATHEMATICS SS 1 SECOND TERM TOPIC: The straight line (cont’d) CONTENT: (i) Equation of line (ii)Areas of triangles and quadrilateral (iii)Transform relationship into linear form (iv) Locus of points. (v) Determination of law. SUB-TOPIC: EQUATION OF LINE Two point form: The equation of
FURTHER MATHEMATICS SS 1 SECOND TERM WEEK 8 CLASS: SSS 1 2ND TERM SUBJECT: Additional Maths TOPIC: THE STRAIGHT LINE CONTENT: (I) mid- level of a section (ii) Gradient of a straight line (iii) Distances between two factors (iv) Situations for parallelism and perpendicularity (v) angles between two
SECOND TERM WEEK WEEKLY LESSON PLANS WITH LESSON NOTES AND SCHEME OF WORK SUBJECT: FURTHER MATHEMATICS CLASS: SS1 WEEK 1 Sequences and Types Arithmetic progression WEEK 2 Arithmetic Series WEEK 3 Calculating devices (Abacus, Slide Rule, pocket Calculator and the Computer) WEEK 4 Scalars and Vectors/Types of vectors
FURTHER MATHEMATICS SS 1 SECOND TERM WEEK 6 DATE(S)………………………………………. SUBJECT: FURTHER MATHEMATICS CLASS: SS1 TOPIC: RELATIVE VELOCITY CONTENT: Displacement/Relative displacement Acceleration Relative velocity Motion of word problem SUB – TOPIC: Relative velocity Every object or occurrence (be it real or abstract) is relative to some other object, occurrence. If a ship
