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Basic Mathematics Topics - FormThree

 

TOPIC Relations

  1. Relations .

    • Find relations between two sets .

    • Find relations between members in a set .

    • Demonstrate relations pictorially .

  2. Graph of a Relation .

    • Draw a graph of a relation represented by a linear inequality .

  3. Domain and Range of a Relation .

    • State the domain of relation .

    • State the range of a relation .

  4. 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 .

 

TOPIC 2: Functions

  1. Representation of a Function .

    • Explain the concept of a functions pictorially .

    • Identify functions .

  2. Domain and Range of a Function .

    • State the domain of a function .

    • State the range of function .

  3. Graphic Function .

    • Draw graphs of functions .

  4. 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 .

 

TOPIC 3: Statistics

  1. 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 .

  2. 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 .

  3. 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 .

TOPIC 4: Rates and Variations

  1. Rates .

    • Relate rates of quantities of different kinds .

    • Relate quantities of the same kind .

    • Convert Tanzanian currency into other currencies .

  2. 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 .

TOPIC 5: Sequences and Series

  1. Sequences .

    • Explain the concept of sequence .

    • Identify an arithmetic progression (AP) and geometric progression (GP) .

    • Find the general term of an AP .

  2. 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 .

  3. Compound Interest .

    • Calculate compound interest using formula .

TOPIC 6: Circles

 

  1. Definition of Terms .

    • Define circle, chord, radius, diameter, circumference, arc, sector, centre and segment of a circle .

  2. 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 .

  3. Angles Properties .

    • Prove circle theorems of inscribed angles .

  4. 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 .

TOPIC 7: The Earth as Sphere

  1. Features and Location of Places

    • Describe the equator, great circle, small circles, meridian, latitudes and longitudes

    • Locate a place on the Earth’s surface

  2. Distances along Great Circles

    • Calculate distances along great circles

    • Solve navigation related problems

  3. Distances along Small Circles

    • Calculate distance along small circles

TOPIC 8: Accounts

  1. 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

  2. Trial Balance

    • Explain the concept of trial balance

    • Construct trial balance

    • Post debit balances and credit balances

    • Check the balances

  3. Trading Profit and Loss

    • Ascertain gross profit/loss using trading account

    • Ascertain net profit/loss account

  4. Balance Sheet

    • Construct a balance sheet

    • Post entries in balance sheets

    • Interpret information from the balance sheet

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