SUBJECT: FURTHER MATHEMATICS
FORM: TWO TERM:
THREE YEAR: 2014/2015
NAME(S) OF TEACHER(S): MR KPEMLIE DANIEL & MR TOFAH FRANCIS
REF.BOOKS: TEACHING SYLLABUS FOR FURTHER MATHEMATICS
ADDITIONAL MATHEMATICS FOR WEST AFRICA (GODMAN, ETAL)
FURTHER MATHEMATICS FOR SENIOR SCHOOLS (AKI OLA SERIES)
DATE
WEEK
ENDING
TOPIC
REF PAGE
REMARKS
24/04/2015
1
Revision of Last Term’s Exams
01/05/2015
2
DIFFERENTIATION
Max/Min values/pts., increment, Rates of change, Linear Kinematics
26-27
08/05/2015
3
INTEGRATION
Definite and Indefinite Integrals, Substitution
27
15/05/2015
CLASS TEST 1
4
INTEGRATION-APPLICATIONS
Determination of the constant of integration, Linear Kinematics, Trapezium Rule.
28
22/05/2015
5
INTEGRATION
Area between a curve and the x- axis/the y- axis Area between two curves
28
29/05/2015
6
INTEGRATION
Volume of revolution
28
05/06/2015
7
MATRICES
a) Definition of matrices
b) Types of matrices
c) Representation of matrices
d) Equal matrices
e) Addition and subtraction of matrices
f) Scalar multiplication of matrices
g) Multiplication of two 2×2 matrices
h) Determinant of 2×2 matrices
i) Inverse of 2×2 matrices
j) Determinant of 3×3 matrices
k) Applications :Solving
o Ax = B
o xA = B
o simultaneous equations (Cramer’s rule)
40
12/06/2015
CLASS TEST 2
8
LINEAR TRANSFORMATIONS
a) Definition
b) Stating the matrix of linear transformations and vice-versa
c) Finding the image of a given point
d) Finding the object given the image
e) Finding the matrix of a linear transformation given two points and their images
f) Inverse of a linear transformation
43
19/06/2015
9
(a) Composition of linear transformations
(b) Identity transformations:
Reflection in the x- axis
Reflection in the y- axis
Reflection in the line y = x etc.
(c) Linear transformation of a line by a matrix
47
26/06/2015
10
STATISTICS
MEASURES OF CENTRAL TENDENCY
a) Assumed mean
b) Mode from a grouped data (formula)
c) Median from a grouped data (formula
31
03/07/2015
11
MEASURES OF DISPERSION
a) Using the assumed mean to calculate the
Standard deviation and the variance
b) Range, Quartiles, Percentiles, Deciles, Inter Quartile Range (IQR), Semi- IQR(Quartile Deviation), Mean Deviation,etc.
31
10/07/2015
CLASS TEST 3
12
STATISTICS
a) Histogram - unequal class intervals
b) Mode and median from a histogram
c) Finding the class boundaries given the midpoints
d) Ogive (Cumulative curve)
e) Finding the Quartiles, percentiles, deciles, IQR, median,etc.on the ogive
31
17/07/2015
13
CORRELATION AND REGRESSION
a) Definitions
b) Scatter diagram and types
c) Eye fitting and methods of least squares of the equation of the line of the best fit
d) Ranking (Spearman) and their interpretations
47
24/07/2015
14
Revision and Examination
31/07/2015
15
Examination
HEAD OF DEPARTMENT: MR. KPONOR CHARLES
DATE SUBMITTED: / 04 / 2015
ABOR SENIOR HIGH SCHOOL (WEEKLY SCHEME OF WORK)
SUBJECT: FURTHER MATHEMATICS FORM: ONE TERM: THREE YEAR: 2014/2015
NAME(S) OF TEACHER(S): MR KPEMLIE DANIEL & MR TOFAH FRANCIS
REF.BOOKS: TEACHING SYLLABUS FOR FURTHER MATHEMATICS
ADDITIONAL MATHEMATICS FOR WEST AFRICA (GODMAN, ETAL)
FURTHER MATHEMATICS FOR SENIOR SCHOOLS (AKI OLA SERIES)
DATE
WEEK
ENDING
TOPIC
REF PAGE
REMARKS
24/04/2015
1
Revision of Last Term’s Exams
01/05/2015
2
POLYNOMIAL FUNCTIONS
Linear and Quadratic functions,
Completing of squares, solutions to quadratic equations (factorization and formula)
4
08/05/2015
3
a) Simultaneous-solving linear and quadratic equations together.
b) Roots of quadratic equations
4
15/05/2015
CLASS TEST 1
4
POLYNOMIAL FUNCTIONS
Definition, algebra of polynomials
5
22/05/2015
5
Factor and Remainder theorems
6
29/05/2015
6
RATIONAL FUNCTIONS
a) Definition of rational functions
b) Operations on rational functions (revision from core mathematics)
c) Resolution of rational functions into partial fractions
6
05/06/2015
7
BINOMIAL THEOREM
a) Pascal’s triangle
b) Binomial expansion with positive integral
6
12/06/2015
CLASS TEST 2
8
BINOMIAL THEOREM
a) Combination method
b) Coefficient and exponents of terms in an expansion
7
19/06/2015
9
BINOMIAL THEOREM
Approximations of any index
7
26/06/2015
10
LINEAR INEQUALITIES IN TWO VARIABLES
Sketching of Linear graphs
a) Endpoints method
b) Gradient-intercepts method
7
03/07/2015
11
LINEAR INEQUALITIES IN TWO VARIABLES
Graphical Representation of Linear Inequalities
7
10/07/2015
CLASS TEST 3
12
a) Application of Linear Inequalities to Linear programming
b) Quadratic inequalities
7
17/07/2015
13
INDICES
a) Laws, simplifications,
b) Equations involving indices
18
24/07/2015
14
Revision and Examination
31/07/2015
15
Examination
HEAD OF DEPARTMENT: MR. KPONOR CHARLES
DATE SUBMITTED: / 04 / 2015
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