- Relations
- 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

- Functions
- 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

- Statistics
- 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

- Medium
- 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

- Rates And Variations
- 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
- Draw graphs of direct variation
- Explain the concept of inverse variation
- Solve problems on inverse variations
- Draw graphs relating inverse variations
- Use joint variation in solving problems

- Sequence And Series
- Sequences
- Explain the concept of sequence
- Identify an arithmetic progression (AP) and geometric progression (GP)
- Find the general term of an AP
- Find the general term of GP

- 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

- 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
- Apply the circle theorems in solving related problems

- Chord Properties of a Circle
- Identify chord properties of a circle
- Prove the theorem on the perpendicular bisector to a chord.
- Prove the theorem on parallel chords
- Apply the theorems on chords in solving related problems

- 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

- The Earth As A Sphere
- 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

- Accounts
- 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

## MATHEMATICS FORM 3 SYLLABUS

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