Education resource centre

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.

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

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

i. Permutation on arrangement

ii. Cyclic permutation

iii. Arrangement of identical object.

• 
  Functional notation
  
• 
  ⁿpr
  
• 
  ⁿcr
  

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.

i. Newton laws of motion

ii. Motion along inclined plane

i. Motion of connected particles

ii. Work, Energy and Power

iii. Impulse and Momentum

i. Projectiles

ii. Trajectory of projectiles

iii. Projection along inclined plane.

i. Concept of inventory

ii. Definitions of important terms in inventory.

iii. Holding list

iv. Ordering list etc. computation of optimal quantity [EOQ model].

i. Concept of replacement

ii. Individual replacement of sudden failure item

iii. Replacement of items that wear out gradually.

Land ownership and tenure systems in Nigeria

Land use Act of 1978:

1. 
   Features of the Act
   
2. 
   The need for government to enforce the law etc.
   

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.
  

Forest management techniques:

• 
  Forest regulation
  
• 
  Selective exploration
  
• 
  Deforestation
  
• 
  Regeneration
  
• 
  Afforestation
  
• 
  Taungya system
  

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.
   

ii. field observation and identification of different types of crop diseases and mouldy grains in storage.

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.
   

Preventive and control measures:

• 
  Cultural methods
  
• 
  Biological methods
  
• 
  Chemical methods
  

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)
   

Other important pests e.g.

• 
  Birds
  
• 
  Rodents
  
• 
  Man
  
• 
  Monkey
  

4. 
   Nature of damages done
   

• 
  Destruction of leaves
  
• 
  Destruction of tender stems
  
• 
  Destruction of root/tubers
  

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.

Morphology of the common grass and legume species of Nigerian pastures

i. Types of pastures: permanent pasture, rotational pasture, temporary pasture, irrigated pasture.

ii. Factors affecting pasture:

• 
  Establishment
  
• 
  Distribution
  
• 
  Productivity
  

1. 
   Definition of rangeland
   
2. 
   Importance of rangeland
   
3. 
   Characteristics of rangeland
   

Methods of rangeland improvement:

• 
  Controlled stocking
  
• 
  Rotational grazing
  
• 
  Use fertilizers
  
• 
  Reseeding etc.
  

1. 
   Definition and meaning of nutrition
   
2. 
   Sources and functions of nutrients e.g. carbohydrates, fats, minerals, vitamins, water and proteins.
   

1. 
   Types of ration: balanced ration etc.
   
2. 
   Malnutrition
   
3. 
   Effects of malnutrition
   

Climatic factors: rainfall, temperature, light, and wind.

Biotic factors: predator, parasites, soil micro organisms, pests and disease organisms etc.

Edaphic facrors: soil types, soil PH, soil texture etc.

1. 
   Definition of micro and macro nutrients, functions and deficiency symptoms.
   

Factors: soil PH, excess of other nutrients, leaching, crop removal, oxidation etc.

Methods of replenishing plant nutrients:

• 
  Rotational cropping, organic manuring, inorganic manuring, fallowing, liming, cover cropping etc.
  

1. 
   Nitrogen cycle
   
2. 
   Carbon cycle
   
3. 
   Water cycle
   

Farming practices and the soil effects: bush burning, over-grazing, clean clearing, stumping, fertilizer application, inorganic manuring etc.

Farm machinery:

1. 
   Tractor
   
2. 
   Bulldozer
   

3. 
   Shellers
   
4. 
   Dryers
   
5. 
   Incubators
   
6. 
   Milling machines etc.
   

Tractor-coupled implements:

Ploughs, harrows, ridgers, planters, harvesters, sprayers.

1. 
   Definition of surveying and planning
   
2. 
   Importance of farm surveying and planning.
   

Common surveying equipment e.g. ranging pole, measuring tape, peg, gunters chain, theodolite etc.

1. 
   Definition of planning
   
2. 
   Importance of farm stead planning
   
3. 
   Principles of farmstead planning.
   

1. 
   Law of diminishing returns
   
2. 
   Principles of demand and supply.
   

supply and demand.

Inter-relationship of demand and supply as it affects prices and profits

Entries of sales and purchases.

Profit and loss accounts

1. 
   Identification of pests
   
2. 
   Identification of soils
   
3. 
   Identification of rocks
   
4. 
   Identification of farm machines and their parts.