Basic Mathematics Topics  FormThree
TOPIC Relations
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Relations .

Find relations between two sets .

Find relations between members in a set .

Demonstrate relations pictorially .


Graph of a Relation .

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


Domain and Range of a Relation .

State the domain of relation .

State the range of a relation .


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
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Representation of a Function .

Explain the concept of a functions pictorially .

Identify functions .


Domain and Range of a Function .

State the domain of a function .

State the range of function .


Graphic Function .

Draw graphs of functions .


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
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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 .


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 .


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 .

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TOPIC 4: Rates and Variations
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Rates .

Relate rates of quantities of different kinds .

Relate quantities of the same kind .

Convert Tanzanian currency into other currencies .


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 .

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TOPIC 5: Sequences and Series
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Sequences .

Explain the concept of sequence .

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

Find the general term of an AP .


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 .


Compound Interest .

Calculate compound interest using formula .

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TOPIC 6: Circles

Definition of Terms .

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


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 .


Angles Properties .

Prove circle theorems of inscribed angles .


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 .

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TOPIC 7: The Earth as Sphere
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Features and Location of Places

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

Locate a place on the Earth’s surface


Distances along Great Circles

Calculate distances along great circles

Solve navigation related problems


Distances along Small Circles

Calculate distance along small circles

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TOPIC 8: Accounts
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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


Trial Balance

Explain the concept of trial balance

Construct trial balance

Post debit balances and credit balances

Check the balances


Trading Profit and Loss

Ascertain gross profit/loss using trading account

Ascertain net profit/loss account


Balance Sheet

Construct a balance sheet

Post entries in balance sheets

Interpret information from the balance sheet

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