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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

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

• 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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