WAEC Further Mathematics Scheme of Work

FURTHER MATHEMATICS SS I FIRST TERM SUB-THEME:PURE MATHEMATICS K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E OBJECTIVES LEARNING GUIDE WE TEACHER STUDENTS RESOURCES 1 Sets Students should be able (1) Definition of set (1) Helps the (1) Study the object (1) Charts of Students to: & to: (2) Set notation method. students to build set around and then different element of (1) define represent 2 (1) define a set (3) Types of set. using common build sets from them sets. set using the different (2) represent given (a) Null set objects around the use different method (2) Charts of set. methods. items in set notation (b) Single on set finite students, illustrate to to represent set. (3) Chart of sets (2) solve real life (3) write out the types and infinite set the students the (2) Gives example using the different problem using Venn of sets. -Subset different method of of types of set. method of notation diagram. (4) carry out set -Universal set representing set. (3) Solve problem (4) Chart of types of operation. -Power set (2) Guides students which involves the set. (5) draw and use Venn -Set operation to define the types operation. (5) Chart of diagram in solving real (a) Union of set and their (4) Draw Venn different operation. life problem. (b) Intersection notation illustrate to diagram of given (6) Chart of 2 set (c) Complement number the student on how problem. and 3 set Vann of element in a set to carry out the diagram. (2) Venn diagram and operation. application up to 3 set (3) Guides students problem. to draw Venn diagram and how to use them in solving problem. 126

FURTHER MATHEMATICS SS I FIRST TERM SUB-THEME: PURE MATHEMATICS K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E OBJECTIVES LEARNING GUIDE WE TEACHER STUDENTS RESOURCES 3 Indices and Students should be (1) Law of indices x (1) Explains to the (1) Charts of the law (1) Charts on the Students to: Logarithms able to: = students the law of of indices and law of indices and (1) solve problem (1) use the law of ÷ = logarithm. logarithm illustrated logarithm illustrated indices. also solve indices in solving ( )n = (2) Illustrates to the with example and with examples. problem using the problem of indicial = 1 students that the law solving problem on law of logarithm. equation. = hold. it. (2) solve problem on (2) use the law of = (3) Drills the indicial equation. also logarithm with the √ students on problem solve the problem on positive base in (2) Application of indices, involving the law of change of base. calculation change solution of indices logarithm. the base of a equation up to quadratic (4) Introduces the logarithm. equation law of logarithm students to the rule (a) = + of change of base, illustrate to the students that the rule (b) = − hold, drill the students on change of base. (c) = (d) =1 (e) 1 = 0 Where: a = 1 =0 ℎ =1 Change of base of logarithm = 127

FURTHER MATHEMATICS SS I FIRST TERM SUB-THEME: PURE MATHEMATICS K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E OBJECTIVES LEARNING GUIDE WE TEACHER STUDENTS RESOURCES 4 Surds Students should be able (1) Definition of surd (1) Guides students (1) Give example of (1) Chart of Students to: to: (2) Rules for to give example of surd. examples of surd (1) define surds (1) define surd manipulating surd surd. (2) Solve example (2) Charts of the (2) solve problem (2) use the rule of surd √ (2) Guides students on the rules for rules for involving surds. = √ in manipulating surd. √ to the rules for manipulating surds. manipulating surds. (3) rationalize the (3) rationalize the = √ multiplication surd. (3) Work non (3) Charts of denominator. denominator of surd. √ (3) Drills the Example on example on n ( ) = √ √ students of on rationalizing the rationalizing the = √ problems involving denominator. denominators. √ surd demonstrate to (3) Rationalization of denominator the students the method of rationalizing the denominator. 5 Linear Inequalities Students should be able (1) Linear inequalities in (1) Leads students to (1) Solve problems (1) Linear Students to: to: one variable solve problems on on linear inequalities charts. (1) solve problems on (1) solve linear (2) Linear inequalities in linear inequalities in inequalities in one (2) The number line linear inequalities in inequalities in one two variables graph of two variables. variable. (3) Charts of one variable. variable. linear inequalities in two (2) Guides students (2) Solve problem solution of example (2) solve problem on (2) solve problem on variables. to construct table of on linear of linear inequalities linear inequalities in inequalities in two values. inequalities in two in two variables. two variables. variables. (3) Leads students to variables. (4) Charts of graphs (3) draw the graph of (3) draw graph of linear plot the values in (3) Construct the of linear inequalities linear inequalities in inequalities in two graph sheet from the table of value. in two variables. two variables. variables. graph board. (4) Plot values on (5) Graph board (4) Highlights the graph sheet showing (6) Graph book. region that satisfied the region that the inequalities. satisfies the inequalities. 128

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FURTHER MATHEMATICS SS I FIRST TERM SUB-THEME: PURE MATHEMATICS K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E OBJECTIVES LEARNING GUIDE WE TEACHER STUDENTS RESOURCES 6 Binary operation Students should be able (1) Definition of binary (1) Helps the (1) Study various (1) Chart of standard Students to: to: operation. students in defining binary operation operation on (1) define binary (1) define binary (2) Law of binary binary operation on define in set standard set as operation. operation. operation. set. (2) Solve problems addition of number. (2) solve problems on (2) identify the different -Associative Law (2) Treat each type involving the law. (2) Chart displaying all the law of binary. laws of binary -Distributive law of law with (3) Draw the law of binary (3) draw operation. -Law of example. multiplication table operation. multiplication of (3) draw multiplication complementation (3) Guides students of some given (3) Chart of table of binary table for a binary (3) Identify element to draw the binary operation. multiplication table. operation. operation. inverse of an element. multiplication table (4) Multiplication table of binary operation of binary operation. on set with examples. 7 Function Students should be able (1) Definition of (1) Helps the (1) Give example of (1) Chart of Students to: to: function students to give function examples of (1) define function (1) define function (2) Type of function one example of function. (2) Give example of function (2) list types of (2) distinguish the types to one function into (2) Guides students types of function. (2) Chart of types of function. of function. function: to define the types (3) Learn the steps function (3) solve problem on (3) solve problem -inverse function. of function in solving problem (3) Chart of function. which involve function -identify function. (3) Drills students of function. solutions of some and its inverse. -constant function. on problem solving. problem on -circular function. function. -logarithmic function. -exponential function. -composite function. (3) Application of function -solution of problem of function. 129

FURTHER MATHEMATICS SS I FIRST TERM SUB-THEME: PURE MATHEMATICS K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E OBJECTIVES LEARNING GUIDE WE TEACHER STUDENTS RESOURCES 8, Sequence and Series Students should be able (1) Definition of (1) Guides students (1) Participate in (1) Chart of example Student to: 9, to: sequence. to give example of giving example of of sequence and (1) define sequence th th th th & (1) define the n term (2) The n term of a sequence. sequence. their n term (2) find the n term 10 of a sequence. sequence. (2) Illustrates to the (2) Illustrate to the (2) Chart of example of a sequence th th (2) find the n term of a (3) Definition of series students how to fine students how to find of series, find the n (3) define series; find th th th th sequence (4) The n sum of a the n term of a the n term of a sum of some series. the n sum of series. th (3) define series series. sequence. sequence. (3) Find the steps in (4) find the n sum of th (4) find the sum of (5) Arithmetic and (3) Guides students (3) Give example of finding the n sum progression series. geometric progressive. to give example of series. of the progression. recognizes th (5) solve problems on series. (4) Find the n sum (4) Chart of example convergent or arithmetic and (4) The methods of of some series of convergent and divergent geometric th th geometric progressive. finding the n sum (5) Find the n sum divergent geometric progression find their of a series. of the progression. progression. sum. (5) Illustrates to the (6) Give example of (5) Chart of example students the convergent and of sum to infinity of th derivative of the n divergent geometric convergent sum of each progression. geometric progression. (7) Find the sum of progression. (6) Guides students infinity of to recognize convergent convergent and geometric divergent geometric progression. progression. 11 REVISION 12 EXAMINATION 130