MATSYLBSF3
i.
Relations
§ Find relations
between two sets
§ Find relations
between members in a set
§ Demonstrate
relations pictorially
ii.
Graph of a Relation
§ Draw a graph of
a relation represented by a linear inequality
iii.
Domain and Range of a Relation
§ State the
domain of relation
§ State the range
of a relation
iv.
Inverse of a Relation
§ Explain the
Inverse of a relation pictorially
§ Find inverse of
a relation
§ Draw a graph of
the inverse of a relation
i.
Representation of a Function
§ Explain the
concept of a functions pictorially
§ Identify
functions
ii.
Domain and Range of a Function
§ State the
domain of a function
§ State the range
of function
iii.
Graphic Function
§ Draw graphs of
functions
iv.
Inverse of a Function
§ Explain the
inverse of a function
§ Show the
inverse of a function pictorially
§ Find the
inverse of a function
§ Draw a graph of
the inverse of a function
§ State the
domain and range of inverse of functions
i.
Mean
§ Calculate the
mean from a set of data, frequency distribution tables and histogram
§ Interpret the
mean obtained from a set data, frequency distribution tables and histogram
ii.
Median
§ Explain the
concept of median
§ Calculate the
medium from a set of data
§ Find the median
using frequency distribution tables and cumulative curve
§ Interpret the
median obtained from the data
iii.
Mode
§ Explain the
concept of mode
§ Calculate the
mode
§ Find the mode
using frequency distribution and a histogram
§ Interpret the
mode obtained from the data
i.
Rates
§ Relate rates of
quantities of different kinds
§ Relate
quantities of the same kind
§ Convert
Tanzanian currency into other currencies
ii.
Variations
§ Explain the
concept of direct variation
§ Solve problems
on direct variations
§ Explain the
concept of inverse variation
§ Solve problems
on inverse variations
§ Draw graphs
relating inverse variations
§ Use joint
variation in solving problems
i.
Sequences
§ Explain the
concept of sequence
§ Identify an
arithmetic progression (AP) and geometric progression (GP)
§ Find the
general term of an AP
ii.
Series
§ Derive the formula
for a sum of an arithmetic progression
§ Calculate the
arithmetic mean
§ Derive the
formula for the sum of a geometric progression
§ Calculate the
geometric mean
iii.
Compound Interest
§ Calculate
compound interest using formula
i.
Definition of Terms
§ Define circle,
chord, radius, diameter, circumference, arc, sector, centre and segment of a
circle
ii.
Central Angle
§ Derive the
formula for the length of an arc
§ Calculate the
central angle
§ Explain the
concept of radian measure
§ Convert radians
to degree and vice versa
iii.
Angles Properties
§ Prove circle
theorems of inscribed angles
iv.
Tangent Properties
§ Describe a
tangent to a circle
§ Identify
tangent properties of a circle
§ Prove tangent
theorems
§ Apply theorems
relating to tangent to a circle in solving problems
i.
Features and Location of Places
§ Describe the
equator, great circle, small circles, meridian, latitudes and longitudes
§ Locate a place
on the Earth’s surface
ii.
Distances along Great Circles
§ Calculate
distances along great circles
§ Solve
navigation related problems
iii.
Distances along Small Circles
§ Calculate
distance along small circles
i.
Double Entry
§ Explain the
meaning of double entry
§ Explain
different types of ledger
§ Construct a
ledger
§ Post entries in
the ledger
§ Close the
simple accounts
ii.
Trial Balance
§ Explain the
concept of trial balance
§ Construct trial
balance
§ Post debit
balances and credit balances
§ Check the
balances
iii.
Trading Profit and Loss
§ Ascertain gross
profit/loss using trading account
§ Ascertain net
profit/loss account
iv.
Balance Sheet
§ Construct a
balance sheet
§ Post entries in
balance sheets
§ Interpret
information from the balance sheet