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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:



  1. Features of the Act

  2. 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.



  1. Cereals-smut, rice blast, leaf rust

  2. Legume-cercosporal leaf spot, rosette

  3. Beverages-cocoa blackpod, coffee leaf rust

  4. 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

  1. Symptoms of diseases: e.g. spots, yellowing, rots, wilting, stuntedness etc.

  2. 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:



  1. Cereal – System borer, army-worm, ear-worm

  2. Legume – pod borer, aphids, sucki bugs, leaf beetle

  3. 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

  1. 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

  1. Definition of rangeland

  2. Importance of rangeland

  3. 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

  1. Definition and meaning of nutrition

  2. Sources and functions of nutrients e.g. carbohydrates, fats, minerals, vitamins, water and proteins.

Collect and identify samples of feeding stuff.

4

Rations

  1. Types of ration: balanced ration etc.

  2. Malnutrition

  3. 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

  1. 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

  1. Nitrogen cycle

  2. Carbon cycle

  3. 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


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