Lagos State Mathematics Scheme of Work

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES 1 Surds Students should be (1) Meaning of rational and Guides students to: (1) Differentiate between (1) Surdic operation Students to: able to: irrational numbers reading to (1) Differentiate rational and irrational charts on: (1) define surds (1) differentiate the definition of surds between the rational number leading to the addition, subtraction, (2) addition, between rational and (2) The rules guiding the basic and irrational definition of surds. multiplication and subtraction, irrational numbers. operation with surds i.e. numbers leading to (2) Perform and solve division. multiplication (2) state the rules of the definition of problems on addition, (2) Conjugate charts. and division of additions and surds. subtraction, surdic numbers subtraction and apply (2) Perform the multiplication and (3) use conjugate them in simplifying operation of division of surdic to solve surdic surds. addition and numbers. expression (3) Conjugate of a binomial (3) state the rules of subtraction of (3) Verify the rules of the (4) relate surds surds using the idea of multiplication and numbers in surdic operation of addition, to trigonometric difference of two squares. division and apply form. subtraction, ratios. (4) Application to solving them in simplifying (3) Conjugate multiplication and triangles involving surds. binomial surds division. trigonometric ratios of special o o o (4) use conjugate using the idea (4) Apply the principle angles of 30 , 60 and 45 . binomial surds to leading to the of difference of two (5) Evaluation of expression solve problems. difference of two squares to conjugate involving surds. (5) apply the concept squares. surdic expressions. of surd to problems (4) Appreciate the (5) Relate surds to involving application of surds trigonometric ratio. trigonometric ratios of to trigonometric o o o angle 30 , 60 , 45 etc. rations e.g. o = o = 34

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES 2 Matrices and Students should be (1) Definition order and Leads students to: (1) Define matrix (1) Matrix charts Students to: determinants able to: notation of matrix. (1) Defines matrix (2) Identify matrix (2) Matrix addition (1) define matrices (1) define matrix (2) Types of matrices (2) State the order and notations. and subtraction (2) identify matrix (2) state the order and e.g. addition and notation of matrices. (3) Identify different charts. notations notation of a matrix. subtraction of matrices, (3) Identifies and define types of matrices. (3) Determinant (3) identify the types (3) identify and define (3) Scalar multiplication different types of (4) Perform and solve charts of matrices addition, types of matrices of matrices and matrices. problems on addition (4) Computer subtraction in two or (4) perform the multiplication of (4) Performs the and subtraction of assorted more matrices. operation of addition, matrices/general matrix operation of addition, matrices. instructional subtraction of matrices multiplication. subtraction of matrices. material. (5) multiply matrix by (5) Multiplies matrix a scalar. by a scalar. 3 Matrices and Students should be (1) Determinants of 2x2 (1) Performs the (1) Perform (1) Computer Students to: determinant able to: and 3x3 matrices. multiplication by a multiplication by a assorted (1) define matrices (continued) (1) quantity and (2) Transpose of a quantity as well as scalar quantity and instructional (2) multiply matrix multiply two matrices matrix matrix-matrices matrix by matrix material. by another matrix. a and b. (3) Matrices and multiplication multiplication. (2) Matrix charts (3) find the (2) find the transpose simultaneous equations. (2) Finds the transpose (2) Find the transpose (3) Matrix addition transpose of a of matrices by of a matrix by of a given matrix by and subtraction matrix interchanging the rows interchanging the rows interchanging row charts (4) calculate and columns. and columns. with column (4) Determinant determinants of a (3) calculate the (3) Calculates the (3) Calculate charts matrix (2x2) determinants of 2 by 2 determinants of determinants of matrices matrix. matrices. matrices (5) apply solutions (4) Appreciates the (4) Apply matrix in simultaneous application of matrices operations to real life equations. to solutions of situations including simultaneous equations. solving simultaneous equations. 35

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES 4 Logarithms Students should be (1) Revision of (1) Brings to the (1) Study the two charts. (1) Logarithm charts Students to: and indices. able to: laws of indices class charts of (2) Deduce laws of logarithm (2) Solution chart of (1) state the laws (1) show the basic and laws of logarithm and especially logarithm of logarithm laws of logarithm. logarithm. solution from the (3) Logarithm table. (2) verify the law (2) use logarithm table (2) Use laws of prepared charts. of logarithm for calculation logarithm to (2) Guides students (3) solve problems - (3) use law of simplify and/or to deduce logarithm involving - logarithm to simplify evaluate given laws. calculation with given expressions expressions (3) Uses the logarithm table. (3) Verify logarithm laws with without the use of without the use of deduced logarithm simple exercises. logarithms table. logarithm table. and logarithm table (4) Revise use of logarithm (3) Use logarithm to calculate table to solve problems table for purpose problems. involving calculation. of calculation. 5 Arithmetic of Students should be (1) Simple interest Guides students to: (1) Use formula to calculate Charts Students to: finance able to: (Revision) (1) recall the simple interest, compound (1) solve problem (1) recall the formula (2) compound formula for simple interest. involving simple for calculating simple interest interest. (2) Compute depreciation interest. interest. (3) Depreciation (2) drive formula for value of a given item (2) solve problem (2) drive formula for (4) Annuities computing (3) Compute the annuity paid involving computing compound (5) Amortization compound interest. on a sum of money at regular compound interest. (3) compute interval. interest. (3) determine the depreciation value (4) Compute the amortization (3) solve problem depreciation value of of an item involving an item. (4) determine the depreciation. (4) compute the annuities (4) solve problem annuity of a given (5) compute the involving annuity. problem amortization. (5) solve problems (5) calculate involving amortization in a given amortization. problem. 36

How to get Nigeria Scheme of Work for Nursery, Primary, Junior and Senior Secondary School. To get the Scheme of Work for a specific subject, class and term or all subjects, class and term TAKE ACTION Call or Whatsapp +2348051311885 on how to download your copy WHAT OTHERS ARE DOWNLOADING Primary School Past Questions \ Junior Secondary School Past Questions Senior Secondary School Past Questions \ Lesson Note \ Nigeria Scheme of Work Please Take Note: The scheme of work is in PDF soft copy format. It can be view and read using a smart mobile phone or personal computer (pc) It can be printed out into hard copy. It is not free (do not chat me up if your intention is to beg for it) It cost a token. Mode of Delivery After payment, it will be sent to your email address or whatsapp Other Available Products Lesson Note and Exam Questions for Primary to Senior Secondary School

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES 6 Arithmetic of Students should be able Further use of (1) Shows the solution (1) Study the (1) Solution charts Students to: finance to: logarithm table in chart. solution charts of of logarithm on (1) calculate interest (continued) (1) calculate problem problem involving: (2) Calculates interest logarithm in bond and debenture on: involving bonds and (1) Bonds and on bound and debenture calculating interest (2) Logarithm table. (2) bond and departure interest. debenture purchase either by in bond and (3) Solution chart on debenture purchase (2) calculate the number (2) Shares individual or institution debenture. rates taxes and or sold over a period of shares in an (3) Rates e.g. value added tax on (2) Calculate values added tax. (3) compute income investment. (4) Income tax the floor of the interest on bond taxes and value (3) use the compound (5) Value added tax. exchange market and debenture added tax. interest formula attracts 0.5% of the purchase by an n price. individual or to (3) Carries simple institution using calculate the rate (r) of a calculation involving logarithm table. given investment if a rates, taxes, value (3) Solve problems principal (p) is invested added tax (VAT) on rates, taxes and for n(years) at r% per value added tax. annum. (4) calculate the income tax levied on a given income. (5) determine the value added tax (vat) paid on certain goods and services. 37

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES THEME: ALGEBRAIC PROCESSES 7 Application Students should be (1) Revision of solution (1) Displays chart of (1) Study the chart Solution charts of Students to: or linear and able to: of simultaneous linear simple linear and (2) Solve the simultaneous linear (1) solve problems quadratic (1) solve linear and quadratic equation quadratic equation. solution of and quadratic on simultaneous equations to equations. e.g. (2) Revises the simultaneous linear equations. linear and capital (2) word problems solution of and quadratic quadratic market. involving linear simultaneous linear equation. equations. (2) Word problems on equations. and quadratic (3) Use steps given (2) solve word linear equations, (3) quadratic equations equations. by the teacher to problems simultaneous linear and word problems (3) Guides students to solve word (3) solve problems equations, quadratic involving quadratic discover how word problems on capital market. equations are linear are equations. problems can be (4) Solve problems quadratic. (4) solve simultaneous interpreted into linear, involving on linear, (3) Application to linear equations, quadratic and one quadratic capital market. simultaneous linear simultaneous equation following equations and equations. teachers guide and quadratic equations. (4) Solves problems in suggestion. (5) Word problems on linear equations such linear, quadratic and as (i) a father and his simultaneous linear son are share holders equation. in a public liability (6) Solve problems on company. The father linear equation invests 3 times as involving capital much as the son. If market. they invest altogether amount to 3000 shares of N50, 000 per share etc. How did the father invest? 38

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES THEME: GEOMETRY 8 Trigonometry: Students should be (1) Construct tables Guides students to: (1) Construct table (1) Graph board Students to: Graphs of able to: of values for sine and (1) Constructs table of of values. Graph books. (1) construct o trigonometric (1) find from the cosine graphs values 0 for (2) Plot graphs of (2) Pencil, ruler, various table of ratios. table sine, and cosine (2) Plot graphs of sine and cosine graphs. tables of values on broom stick/twine values of sine and o value of a given sine and cosine for (2) Plots graphs of sine their graph books. cosine o (2) draw graphs of 0 and cosine for (3) Interpret the (2) plot graphs o sine, cosine and graphs of sine and using the 0 tangent of for angles cosine and read out constructed table (3) On chalkboard o given values. of values. 0 (4) Interprets the graphs (3) interpret their (3) interpret/read of sine and cosine and plot graphs and graphs of read out given values. read out values. trigonometric ratios. 9 Trigonometry (1) Carryout (1) Graphs of sine, (1) Separates equation (1) Separates Graph board, graph Students to: of graphs of graphical solutions of cosine and tangent containing linear equation containing books, pencil, ruler, (1) solve o sine, cosine simultaneous linear for 0 expression and linear expression broom stick/twine. problems on and tangent. equation and (2) Graphical trigonometric ratios and trigonometric drawing linear trigonometric solution of (2) Prepares table of ratios. equations from equation. simultaneous linear values of both linear and (2) Prepare table of combating of and trigonometric trigonometric ratio. values of both linear linear and equation. (3) Plots the sine type of and trigonometric trigonometric graphs on the page. ratio ratio. (4) Read values from (3) Plot the line (2) prepare table graphs. types graphs on of values same page. Read (3) plot linear and values from the trigonometric graphs. graphs on the same graph. 39

How to get Nigeria Scheme of Work for Nursery, Primary, Junior and Senior Secondary School. To get the Scheme of Work for a specific subject, class and term or all subjects, class and term TAKE ACTION Call or Whatsapp +2348051311885 on how to download your copy WHAT OTHERS ARE DOWNLOADING Primary School Past Questions \ Junior Secondary School Past Questions Senior Secondary School Past Questions \ Lesson Note \ Nigeria Scheme of Work Please Take Note: The scheme of work is in PDF soft copy format. It can be view and read using a smart mobile phone or personal computer (pc) It can be printed out into hard copy. It is not free (do not chat me up if your intention is to beg for it) It cost a token. Mode of Delivery After payment, it will be sent to your email address or whatsapp Other Available Products Lesson Note and Exam Questions for Primary to Senior Secondary School

MATHEMATICS SS III FIRST TERM THEME: NUMBER AND NUMERATION K TOPIC PERFORMANCE CONTENT ACTIVITIES TEACHING AND EVALUATION E E OBJECTIVES LEARNING GUIDE W TEACHER STUDENTS RESOURCES 10 Surface Area Students should be Surface area of a (1) Brings a sphere to (1) Study the sphere Spherical globe Students to: able to: sphere and the classroom and state its find the surface (1) find the surface hemisphere. (2) Explains the characteristics area of a given area of a sphere and concept of the surface (2) Note the sphere. hemisphere. area. concepts of surface (2) state the (3) Leads students to area. expression for the find the surface area (3) Find the surface surface area of the of a sphere with area of a sphere sphere and given dimension. (4) Solve problems hemisphere and use it on surface area of a to solve problems. sphere. 11 REVISION OF TEAM WORK 12 EXAMINATION 40