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FURTHER MATHS

SS 2 SECOND TERM

 WEEK TOPIC / CONTENT ACTIVITIES 1 DIFFERENTIATION i. Limits of a function ii. Differentiation from first principle iii. Differentiation of polynomials Teacher: guides students on how to find limits of a function and differentiate from first principle. Students: Evaluate limits of a function at a given value and differentiate from first principle. Instructional Resource: charts showing rules of differentiation. 2 DIFFERENTIATION Differentiation of transcendental function such as sin x, eax, log 3x Teacher: leads students to differentiate transcendental functions Students: Differentiate transcendental functions. Instructional Resource: chart showing areas of application 3 DIFFERENTIATION i. Rules of differentiation ii. Product rule iii. Quotient rule iv. Function of function Teacher: guides students to use rules of differentiation Students: use rules of differentiation Instructional Resource: charts showing rules of differentiation 4. DIFFERENTIATION i. Application of differentiation to a. rate of change b. gradient c. maximum and minimum values d. equation of motion Teacher: leads students to use differentiation in finding: rate of change, gradient of a function and optimization involving maximum and minimum values. Students: use differentiation in finding: rate of change, gradient of a function and optimization involving maximum and minimum values. Instructional Resources: chart showing areas of application. 5 DIFFERENTIATION i. Higher derivatives ii. Differentiation of implicit functions. Teacher: guides students to higher derivative and differentiation of implicit functions Instructional Resource: chart showing areas of application. 6 BINOMIAL EXPANSION i. Pascal triangle ii. Binomial expression of (a+b)n where n is +ve integer, -ve integer or fractional value Teacher: guides students to demonstrate the Pascal triangle and write out the binomial expansion. Students: construct the Pascal triangle and write our binomial expansion. Instructional Resource: charts showing Pascal triangle 7 BINOMIAL EXPANSION i. Finding nth term ii. Application of binomial expansion Teacher: leads students to extend the power of negative integer and fractional values. Students: use the knowledge of expansion of positive expansion to negative and fractional powers. Instructional Resources: charts showing nth term of a given binomial expansion. 8 CONIC SECTION: THE CIRCLE i. Definition of circle ii. Equation of circle given centre and radius Teacher: leads students to define circle and explain concept of a circle as conic section . Students: solve various types of problems on circles. Instructional Resources: chart depicting circle as section of a cone. 9 CONIC SECTION: THE CIRLCE i. General equation of a circle a. finding centre and radius of a given circle b. finding equation of a circle given the end point of the diameter c. equation of a circle passing through three points. Teacher: guides students to solve various types of problems on circles. Students: solve various types of problems on circle. Instructional Resources: chart showing equation of circle passing through 3 points. 10 CONIC SECTION: THE CIRCLE i. Equation of tangent to a circle ii. Length of tangent to a circle Teacher: leads students to find the equation of a tangent to circle Students: learn technique of finding equation of tangent to circle Instructional Resources: chart showing tangent of circle and length of tangent. 11 Revisions Revisions 12 Examinations Examinations 13 Examinations Examinations

FURTHER MATHS

SS 2 THIRD TERM

 WEEK TOPIC / CONTENT ACTIVITIES 1 TRIGONOMETRIC FUNCTION i. Knowledge of six trigonometric functions of angles of any magnitude (since, cosine, tangent, secant, cosecant, cotangent). ii. Range and domain of specified trigonometric functions iii. Graphs of trigonometric ratios with emphasis on their amplitude and periodicity. Teacher: leads students to identify and find trigonometric function of angles Students: identify angles of the six trigonometric ratios. Instructional Resources: charts showing relationship between the six trigonometric ratios. 2 TRIGONOMETRIC FUNCTION i. Relationship between graphs of trig ratios e.g. sin x and sin 2x graphs of y = a sin (bx) + c y = a cos (bx) + c y = a tan (bx) + c ii. Graphs of inverse by ratio Teacher: leads students to identify relationship between graphs of trigonometric ratios. Students: identify relationship between the graphs of trigonometric ratios e.g. sinx and sin2x. Instructional Resource: charts showing sketches of inverse of sinx, cosx and tanx. 3 TRIGONOMETRIC FUNCTION i. solution of simple equation involving the six trigonometric functions ii. proofs of simple trigonometric identities e.g. sin 2x + cos2x = 1 sec2x = 1+tan 2x Teacher: guides them to solve simple equations involving trigonometric ratios. Students: solve simple trigonometric equation. Instructional Resources: charts showing sketches of inverse of sin x, cosx and tanx. 4 PERMUTATIONS AND COMBINATIONS i. Permutation on arrangement ii. Cyclic permutation iii. Arrangement of identical object. Teacher: guides students to solve problem on cyclic permutation and other types of permutation. Students: solve various problems on permutation Instructional Resources: charts showing : Functional notation npr ncr 5 PERMUTATIONS AND COMBINATIONS i. Arrangements in which repetitions are allowed ii. Introduction to combination on selection. a). Conditional arrangements and selection b). Probability arrangement problem involving arrangement and selection. Teacher: demonstrates application of combination in probability. Students: use concept of combination to solve problem on probability. Instructional Resources: charts showing functional notation. 6 DYNAMICS i. Newton laws of motion ii. Motion along inclined plane Teacher: explains Newton’s law of motion and states the three laws of motion. Students: write down the laws of motion and solve problems on Newton’s laws of motion. Instructional Resources: Ball and heavy block placed on table to demonstrate 3rd law. 7 DYNAMICS i. Motion of connected particles ii. Work, Energy and Power iii. Impulse and Momentum Teacher: guides students to solve problem involving application of Newton’s law of motion. Students: solve problem on motion along inclined plane. Instructional Resources: An inclined plane with object on it. 8 DYNAMICS i. Projectiles ii. Trajectory of projectiles iii. Projection along inclined plane. Teacher: guide students to solve various problem on projectiles. Students: solves various problems on projectile Instructional Resources: Light smooth pulley with two blocks connected by string. 9. INVENTORY MODEL i. Concept of inventory ii. Definitions of important terms in inventory. iii. Holding list iv. Ordering list etc. computation of optimal quantity [EOQ model]. Teacher: guide students to give practical examples on inventory. Students: define various terms on inventory Instructional Resources: charts depicting items on inventory. 10 REPLACEMENT MODEL i. Concept of replacement ii. Individual replacement of sudden failure item iii. Replacement of items that wear out gradually. Teacher: explains the concept of replacement Students: gives practical examples of item that wear out suddenly and gradually. Instructional Resources: charts showing diagrams of items such as plugs, bulbs, generators, grinding machines etc. 11 Revisions Revisions 12 Examinations Examinations 13 Examinations Examinations

AGRICULTURAL SCIENCE

SS 2 FIRST TERM

 WEEK TOPIC / CONTENT ACTIVITIES 1 Agricultural Laws and Reforms Land ownership and tenure systems in Nigeria State the different land tenure systems in Nigeria. 2 Land Use Act of Nigeria Land use Act of 1978: Features of the Act The need for government to enforce the law etc. State and explain the different laws on land with emphasis on land use Act of 1978 3 Role of Government in Agricultural Production Role of government in Agricultural production e.g. Making of agricultural policies Drawing of agricultural programmes Provision of loan and subsidies Provision of agricultural education etc. Class discussion 4 Forest Management Forest management techniques: Forest regulation Selective exploration Deforestation Regeneration Afforestation Taungya system Students should visit forest reserves 5 Diseases of crops Diseases of major crops: e.g. Cereals-smut, rice blast, leaf rust Legume-cercosporal leaf spot, rosette Beverages-cocoa blackpod, coffee leaf rust Tuber – cassava mosaic virus, bacterial blight. etc. i. Diseased crop items should be observed to identify some crop diseases ii. field observation and identification of different types of crop diseases and mouldy grains in storage. 6 Symptoms and economic importance of crop diseases Symptoms of diseases: e.g. spots, yellowing, rots, wilting, stuntedness etc. Economic importance: e.g. increase cost of production, reduces quality of crops, reduces farmers income etc. Describe the disease symptoms and damage done to crops 7 Preventive and Control Measures of diseases Preventive and control measures: Cultural methods Biological methods Chemical methods i. State the control measures ii. Identify some chemicals used 8 Pests of crops Important insect pests of major crops: Cereal – System borer, army-worm, ear-worm Legume – pod borer, aphids, sucki bugs, leaf beetle Beverage – cocoa myrids (capsids) i. Students should collect and preserve some insect pests ii. Definition of pest 9 Other important pests Other important pests e.g. Birds Rodents Man Monkey Nature of damages done Destruction of leaves Destruction of tender stems Destruction of root/tubers Observe some damaged crops by rodents and monkey 10 Economic importance of selected pests i. Economic importance of pests e.g. - reduction in quality of crops - reduction in quantity of crops - makes vegetables unattractive and unmarketable etc. ii. Preventive and control measures: - cultural methods - biological methods - chemical methods iii. Side effects of the various preventive and control methods: - chemical pollution, poisoning etc. Use sprayers and insecticides to control pests in the field. 11 Pasture and forage crops Morphology of the common grass and legume species of Nigerian pastures Each student to collect a pasture and legume crop (a grass and a legume) 12 Types of Pastures i. Types of pastures: permanent pasture, rotational pasture, temporary pasture, irrigated pasture. ii. Factors affecting pasture: Establishment Distribution Productivity iii. Management practices of a pasture land. Prepare a pasture/forage album. 13 Revision Revision 14 Examination Examination

AGRICULTURAL SCIENCE

SS 2 SECOND TERM

 WEEK TOPIC / CONTENT ACTIVITIES 1 Range Management and Improvement Definition of rangeland Importance of rangeland Characteristics of rangeland State importance of rangeland to livestock production. 2 Rangeland Improvement Methods of rangeland improvement: Controlled stocking Rotational grazing Use fertilizers Reseeding etc. Describe the methods of improvement 3 Animal Nutrition Definition and meaning of nutrition Sources and functions of nutrients e.g. carbohydrates, fats, minerals, vitamins, water and proteins. Collect and identify samples of feeding stuff. 4 Rations Types of ration: balanced ration etc. Malnutrition Effects of malnutrition Students should feed animals on the farm using various feeds. 5 Environmental factors affecting Agricultural Production Climatic factors: rainfall, temperature, light, and wind. Grow plants under different conditions of moisture and light, for comparison purpose. 6 Biotic factors affecting agricultural production Biotic factors: predator, parasites, soil micro organisms, pests and disease organisms etc. Grow plants under different conditions of moisture and light, for comparison purpose. 7 Edaphic Factors affecting agricultural production Edaphic facrors: soil types, soil PH, soil texture etc. Grow plants under different conditions of moisture and light, for comparison purpose. 8 Plant nutrients Definition of micro and macro nutrients, functions and deficiency symptoms. Prepare water/sand culture to demonstrate deficiency of various elements in different crops. 9 Factors influencing availability of nutrients Factors: soil PH, excess of other nutrients, leaching, crop removal, oxidation etc. 10 Methods of replenishing plant nutrients in the soil Methods of replenishing plant nutrients: Rotational cropping, organic manuring, inorganic manuring, fallowing, liming, cover cropping etc. Apply fertilizers to field crops. 11 Nutrients cycles Nitrogen cycle Carbon cycle Water cycle Prepare charts of the nutrient cycles 12 Effects of farming practices on the soil Farming practices and the soil effects: bush burning, over-grazing, clean clearing, stumping, fertilizer application, inorganic manuring etc. 13 Revision Revision 14 Examination Examination