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
Domain and Range of a Function
State the domain of a function
State the range of function
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
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
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
Post entries in the ledger
Close the simple accounts
Trial Balance
Explain the concept of trial balance
Post debit balances and credit 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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