Basic Mathematics Topics - FormThree
TOPIC Relations
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Relations .
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Find relations between two sets .
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Find relations between members in a set .
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Demonstrate relations pictorially .
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Graph of a Relation .
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Draw a graph of a relation represented by a linear inequality .
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Domain and Range of a Relation .
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State the domain of relation .
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State the range of a relation .
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Inverse of a Relation .
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Explain the Inverse of a relation pictorially .
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Find inverse of a relation .
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Draw a graph of the inverse of a relation .
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TOPIC 2: Functions
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Representation of a Function .
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Explain the concept of a functions pictorially .
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Identify functions .
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Domain and Range of a Function .
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State the domain of a function .
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State the range of function .
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Graphic Function .
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Draw graphs of functions .
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Inverse of a Function .
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Explain the inverse of a function .
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Show the inverse of a function pictorially .
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Find the inverse of a function .
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Draw a graph of the inverse of a function .
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State the domain and range of inverse of functions .
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TOPIC 3: Statistics
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Mean .
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Calculate the mean from a set of data, frequency distribution tables and histogram
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Interpret the mean obtained from a set data, frequency distribution tables and histogram .
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Median .
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Explain the concept of median .
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Calculate the medium from a set of data .
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Find the median using frequency distribution tables and cumulative curve .
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Interpret the median obtained from the data .
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Mode .
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Explain the concept of mode .
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Calculate the mode .
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Find the mode using frequency distribution and a histogram .
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Interpret the mode obtained from the data .
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TOPIC 4: Rates and Variations
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Rates .
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Relate rates of quantities of different kinds .
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Relate quantities of the same kind .
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Convert Tanzanian currency into other currencies .
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Variations .
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Explain the concept of direct variation .
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Solve problems on direct variations .
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Explain the concept of inverse variation .
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Solve problems on inverse variations .
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Draw graphs relating inverse variations .
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Use joint variation in solving problems .
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TOPIC 5: Sequences and Series
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Sequences .
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Explain the concept of sequence .
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Identify an arithmetic progression (AP) and geometric progression (GP) .
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Find the general term of an AP .
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Series .
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Derive the formula for a sum of an arithmetic progression .
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Calculate the arithmetic mean .
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Derive the formula for the sum of a geometric progression .
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Calculate the geometric mean .
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Compound Interest .
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Calculate compound interest using formula .
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TOPIC 6: Circles
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Definition of Terms .
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Define circle, chord, radius, diameter, circumference, arc, sector, centre and segment of a circle .
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Central Angle .
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Derive the formula for the length of an arc .
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Calculate the central angle .
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Explain the concept of radian measure .
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Convert radians to degree and vice versa .
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Angles Properties .
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Prove circle theorems of inscribed angles .
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Tangent Properties .
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Describe a tangent to a circle .
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Identify tangent properties of a circle .
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Prove tangent theorems .
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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
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Describe the equator, great circle, small circles, meridian, latitudes and longitudes
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Locate a place on the Earth’s surface
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Distances along Great Circles
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Calculate distances along great circles
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Solve navigation related problems
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Distances along Small Circles
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Calculate distance along small circles
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TOPIC 8: Accounts
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Double Entry
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Explain the meaning of double entry
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Explain different types of ledger
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Construct a ledger
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Post entries in the ledger
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Close the simple accounts
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Trial Balance
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Explain the concept of trial balance
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Construct trial balance
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Post debit balances and credit balances
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Check the balances
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Trading Profit and Loss
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Ascertain gross profit/loss using trading account
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Ascertain net profit/loss account
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Balance Sheet
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Construct a balance sheet
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Post entries in balance sheets
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Interpret information from the balance sheet
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