Form Three Mathematics Syllabus Topics

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




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




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




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




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




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




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




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

