mathematics notes form three| notes za hesabu kidato cha tatu

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MATHEMATICS FORM TWO FULL NOTES

  MATHEMATICS NOTES FOR FORM TWO

NOTES ZA MATHE MATICS FORM TWO



Mathematics Form 3 Syllabus

  1. Relations Syllabus

    1. Relations Syllabus
      1. Find relations between two sets Syllabus
      2. Find relations between members in a set Syllabus
      3. Demonstrate relations pictorially Syllabus
    2. Graph of a Relation Syllabus
      1. Draw a graph of a relation represented by a linear inequality Syllabus
    3. Domain and Range of a Relation Syllabus
      1. State the domain of relation Syllabus
      2. State the range of a relation Syllabus
    4. Inverse of a Relation Syllabus
      1. Explain the Inverse of a relation pictorially Syllabus
      2. Find inverse of a relation Syllabus
      3. Draw a graph of the inverse of a relation Syllabus

  2. Functions Syllabus

    1. Representation of a Function Syllabus
      1. Explain the concept of a functions pictorially Syllabus
      2. Identify functions Syllabus
    2. Domain and Range of a Function Syllabus
      1. State the domain of a function Syllabus
      2. State the range of function Syllabus
    3. Graphic Function Syllabus
      1. Draw graphs of functions Syllabus
    4. Inverse of a Function Syllabus
      1. Explain the inverse of a function Syllabus
      2. Show the inverse of a function pictorially Syllabus
      3. Find the inverse of a function Syllabus
      4. Draw a graph of the inverse of a function Syllabus
      5. State the domain and range of inverse of functions Syllabus

  3. Statistics Syllabus

    1. Mean Syllabus
      1. Calculate the mean from a set of data, frequency distribution tables and histogram Syllabus
      2. Interpret the mean obtained from a set data, frequency distribution tables and histogram Syllabus
    2. Median Syllabus
      1. Explain the concept of median Syllabus
      2. Calculate the medium from a set of data Syllabus
      3. Find the median using frequency distribution tables and cumulative curve Syllabus
      4. Interpret the median obtained from the data Syllabus
    3. Mode Syllabus
      1. Explain the concept of mode Syllabus
      2. Calculate the mode Syllabus
      3. Find the mode using frequency distribution and a histogram Syllabus
      4. Interpret the mode obtained from the data Syllabus

  4. Rates And Variations Syllabus

    1. Rates Syllabus
      1. Relate rates of quantities of different kinds Syllabus
      2. Relate quantities of the same kind Syllabus
      3. Convert Tanzanian currency into other currencies Syllabus
    2. Variations Syllabus
      1. Explain the concept of direct variation Syllabus
      2. Solve problems on direct variations Syllabus
      3. Explain the concept of inverse variation Syllabus
      4. Solve problems on inverse variations Syllabus
      5. Draw graphs relating inverse variations Syllabus
      6. Use joint variation in solving problems Syllabus

  5. Sequence And Series Syllabus

    1. Sequences Syllabus
      1. Explain the concept of sequence Syllabus
      2. Identify an arithmetic progression (AP) and geometric progression (GP) Syllabus
      3. Find the general term of an AP Syllabus
    2. Series Syllabus
      1. Derive the formula for a sum of an arithmetic progression Syllabus
      2. Calculate the arithmetic mean Syllabus
      3. Derive the formula for the sum of a geometric progression Syllabus
      4. Calculate the geometric mean Syllabus
    3. Compound Interest Syllabus
      1. Calculate compound interest using formula Syllabus

  6. Circles Syllabus

    1. Definition of Terms Syllabus
      1. Define circle, chord, radius, diameter, circumference, arc, sector, centre and segment of a circle Syllabus
    2. Central Angle Syllabus
      1. Derive the formula for the length of an arc Syllabus
      2. Calculate the central angle Syllabus
      3. Explain the concept of radian measure Syllabus
      4. Convert radians to degree and vice versa Syllabus
    3. Angles Properties Syllabus
      1. Prove circle theorems of inscribed angles Syllabus
    4. Tangent Properties Syllabus
      1. Describe a tangent to a circle Syllabus
      2. Identify tangent properties of a circle Syllabus
      3. Prove tangent theorems Syllabus
      4. Apply theorems relating to tangent to a circle in solving problems Syllabus

  7. The Earth As A Sphere Syllabus

    1. Features and Location of Places Syllabus
      1. Describe the equator, great circle, small circles, meridian, latitudes and longitudes Syllabus
      2. Locate a place on the Earth’s surface Syllabus
    2. Distances along Great Circles Syllabus
      1. Calculate distances along great circles Syllabus
      2. Solve navigation related problems Syllabus
    3. Distances along Small Circles Syllabus
      1. Calculate distance along small circles Syllabus

  8. Accounts Syllabus

    1. Double Entry Syllabus
      1. Explain the meaning of double entry Syllabus
      2. Explain different types of ledger Syllabus
      3. Construct a ledger Syllabus
      4. Post entries in the ledger Syllabus
      5. Close the simple accounts Syllabus
    2. Trial Balance Syllabus
      1. Explain the concept of trial balance Syllabus
      2. Construct trial balance Syllabus
      3. Post debit balances and credit balances Syllabus
      4. Check the balances Syllabus
    3. Trading Profit and Loss Syllabus
      1. Ascertain gross profit/loss using trading account Syllabus
      2. Ascertain net profit/loss account Syllabus
    4. Balance Sheet Syllabus
      1. Construct a balance sheet Syllabus
      2. Post entries in balance sheets Syllabus
      3. Interpret information from the balance sheet Syllabus


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