ERC FCT Teaching Scheme. Federal Further Maths Scheme of Work for SS1, laws of logarithms – Schemeofwork.com
FURTHER MATHS SS ONE FIRST TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | SET I Definition of set,Set notation methods, Types of set:Null setSingletonFiniteInfiniteUniversalPower setNumber of elements | i. Teacher: Guides the students to define the types of sets and their notation. ii. Students: use different methods to present sets. Instructional Resources: charts of sets using the different methods of notation etc. |
| 2 | SET II i. set operations a. union b. intersection c. Venn diagrams and applications up to 3 set problem | Teacher: guides students to draw Venn diagrams and how to use them to solve problems. Students: solve problems involving set operations and Venn diagram. Instructional Resources: charts of different operations and of 2-set, 3-sets Venn diagram etc. |
| 3 | INDICES i. laws of indices ii. application of indices iii. Indicial equations | Teacher: Drills the students on calculations involving the use of the laws of indices Students: study the steps in solving indicial equations. Instructional Resource: charts on laws of indices and solutions of indicial equations etc. |
| 4 | LOGARITHMS i. laws of logarithms ii. change of base of logarithms | Teacher: Drills the students on problems involving the laws of logarithms Students: solve problems involving the use of the laws. Instructional Resources: charts of the laws of logarithms and the rule of change of base of logarithms illustrated with examples etc. |
| 5 | COORDINATE GEOMETRY(The straight line I) i. Midpoint of a line segment ii. Gradient of a straight line iii. Distance between two points | Teacher: guides the students to determine the distance between two point. Students: determine problems on the straight line. Instructional Resources: charts on various ideas on the straight line etc. |
| 6 | COORDINATE GEOMETRY (The straight line II) i. Conditions for parallelism and perpendicular ii. Equation of a line | Teacher: leads the students to determine the condition for parallelism and perpendicularity. Students: derive the equation of a line in different forms. Instructional Resources: charts of equation of a line in different form. |
| 7 | COORDINATE GEOMETRY (The straight line III) i. Transforming non-linear relationship into linear form. ii. Areas of triangles and quadrilaterals. | Teacher: guides students to determine the areas of triangles and quadrilaterals where the coordinates of the vertices are given. Students: transform relations into linear forms. Instructional Resources: charts of transformed relationship etc. |
| 8 | SURDS i. Definition of surds ii. Rules for manipulating surds iii. Rationalization of the denominators of surds | Teacher: guides students to the rules for manipulating surds Students: work on examples on rationalizing the denominator Instructional Resources: charts of the rules for manipulating surds. |
| 9 | TRIGONEMETRIC RATIOS OF SPECIAL ANGLES i. Trigonometric Ratio of 30o, 45o and 60o ii. Application of trigonometric ratio 30o, 45o and 60o to solve problems without the use of tables. | Teacher: guides students to derive trigonometric ratios of 30o, 45o and 60o Students: derive trigonometric ratios of 30o, 45o and 60o. Instructional Resources: plane figures of right-angled triangles showing angles of 30o, 45o and 60o. |
| 10 | LOGICAL REASONING i. The truth table ii. Using p or q, p and q (pvq; p^q) iii. P=>q, p<=>q iv. Rule, of syntax, simple true or false statement. | Teacher: guides the students to construct truth table. Students: solve practical problems involving the truth table. Instructional Resources: Charts showing examples on truth table. Instructional Resources: charts showing examples on truth table. |
| 11 | LOGICAL REASONING i. Rules of logic application to argument ii. Implication and deduction. | Teacher: leads the students on the rules of implication and deduction Students: solve problems on antecedents and consequences of statements Instructional Resources: charts showing conditional statements. |
| 12 | Revision | Revision |
| 13 | Examinations | Examinations |
| 14 | Examinations | Examinations |
ERC FCT Teaching Scheme. Federal Further Maths Scheme of Work for SS1 – Schemeofwork.com
FURTHER MATHS SS ONE SECOND TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | SEQUENCES AND SERIES i. Definition of sequences and series ii. the nth term of a sequence and series iii. Arithmetic progression (AP) | Teacher: guides students on how find the nth term of sequences and series. Students: participate in giving examples of sequences. Instructional Resources: Charts of examples of sequences and series etc. |
| 2 | SEQUENCES AND SERIES i. Geometric progression (GP) ii. Solving problems on AP and GP. | Teacher: guides the students to recognize convergent and divergent geometric progression. Students: find the sum to infinity of convergent geometric progressions. Instructional Resources: charts of examples of convergent and divergent geometric progressions etc. |
| 3 | FUNCTIONS i. Definition of a function ii. Types of function One to oneOnto functionInverse functionIdentity functionConstant functionCircular function | Teacher: guides the students to define the types of functions. Students: gives examples of types of functions. Instructional Resources: charts of types of functions etc. |
| 4 | FUNCTIONS ai. Logarithmic function ii. Exponential functions bi. Application of functions ii. Solutions to problems on functions | Teacher: Drills students on problems on function Students: learn the steps in solving problems on functions Instructional Resources: charts of solutions of some problems on functions etc. |
| 5 | VECTORS IN TWO DIMENSIONS i. Scalars and vectors – zero vectors – negative vectors ii. Vector addition and subtraction iii. Scalar multiplication of vectors iv. Magnitude and direction of vectors v. Unit vector. | Teacher: guides the students to identify vectors and scalars Students: perform simple operations on vectors Instructional Resources: charts of directed line vectors etc. |
| 6 | VECTORS IN TWO DIMENSIONS II i. Triangle law of vectors ii. Parallelogram law of vectors iii. Resolution of vectors | Teacher: leads students to resolve vectors. Students: resolve vectors in given direction Instructional Resources: charts of resolved vectors etc. |
| 7 | VECTORS IN TWO DIMENSION III i. Scalar (dot) product ii. Application of scalar (dot) product | Teacher: directs students to apply scalar product in geometry and trigonometry Students: Define scalar product Instructional Resource: charts of geometrical application of scalar product etc. |
| 8 | MEASURE OF LOCATION Mean, mode, median (for grouped data) | Teacher: guides students to determine the measures of location of data. Students: Determine the measures of location of data. Instructional Resources: charts of determined measures of location etc. |
| 9 | MEASURE OF LOCATION i. Decile ii. Percentile iii. Quartile | Teacher: guides the students to determine the measures of location of data. Students: determine the measures of location Instructional Resources: charts of determined measures of location etc. |
| 10 | MEASURE OF DISPERSION i. Range ii. Inter-quartiles | Teacher: guides the students to determine the measures of dispersion of data Students: determine the measures of dispersion of data Instructional Resources: charts of determined measures of dispersion |
| 11 | MEASURE OF DISPERSION i. mean deviation ii. standard deviation iii. Coefficient of variation | Teacher: guides the students to determine the measures of dispersion of data Students: determine the measures of dispersion of data. Instructional Resources: charts of determined measures of dispersion of data. |
| 12 | Revision | Revision |
| 13 | Examinations | Examinations |
ERC FCT Teaching Scheme. Federal Further Maths Scheme of Work for SS1 – Schemeofwork.com
FURTHER MATHS SS ONE THIRD TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | LINEAR INEQUALITIES i. Linear inequalities in one variable ii. Linear inequalities in two variables. | Teacher: guides students to solve linear inequalities in one and two variables Students: solve problems on linear inequalities in one and two variables Instructional Resources: the number line etc. |
| 2 | LINEAR INEQUALTIES i. Graphs of linear inequalities in two variables ii. Region that satisfies linear inequalities | Teacher: leads students to plot the values in graph sheet from the graph board Students: solve problems on linear inequalities in two variables Instructional Resources: Graph board, graph book etc. |
| 3 | CALCULATING AND PROCESSING DEVICES I i. Abacus ii. Decimal and binary systems | Teacher: guides students on how to use the calculating devices Students: solve problems on the binary systems Instructional Resources: Abacus, four figure tables, slide rules, calculators, computer etc. |
| 4 | CALCULATING AND PROCESSING DEVICES II i. Flow charts ii. Application of flow charts | Teacher: guides students to draw flow charts Students: draw flow charts Instructional Resources: charts of flow charts. |
| 5 | OPERATIONS RESEARCH i. Definition of operations research ii. History and nature of operations research | Teacher: guides the students to define operations research Students: tell the history of operations research Instructional Resources: charts of historical development of O.R. |
| 6 | MODELS I i. models of operations research ii. linear programming models iii. Transportation iv. Assignment models | Teacher: guides students to distinguish models Students: construct models that can distinguish the models. Instructional Resource: charts on the model |
| 7 | MODELS II Practical application of models | Teacher: guides students on practical problems on the models of operations research. Students: participate in solving practical problems using the model. Instructional Resource: charts on solution of problems that involves the models. |
| 8 | BINARY OPERATIONS I i. Definition of binary operation ii. Laws of binary operation Associative lawCommutativeDistributive | Teacher: helps the students in defining binary operations on sets Students: study various binary operations defined in sets. Instructional Resources: charts of standard operations on standard sets. |
| 9 | BINARY OPERATIONS II i. laws of complementation as in sets ii. identity elements iii. inverse of an element | Teacher: treats each type of law with examples Students: solve problems involving the laws. Instructional Resources: charts displaying the laws of binary operations. |
| 10 | BINARY OPERATION III Multiplication tables of binary operations | Teacher: guides the students to draw the multiplication tables of binary operations on sets with examples. Students: draw multiplication table of some given binary operations. Instructional Resource: charts of multiplication tables. |
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