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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
2.    Functions
            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

3.    Statistics
            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
6.    Circles
            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

8.    Accounts
            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