BASIC MATHEMATICS SYLLABUS FOR FORM I--IV 2010. BY. MWL. JAPHET MASATU.

BASIC  MATHEMATICS SYLLABUS FOR         
                      FORM  I---IV

                             2010

                       FORM  ONE 

 TOPICS/ SUB--TOPICS.
 {1}.NUMBERS {I}.
---- Base ten  Numeration.
---Natural  and   Whole  Numbers.
---Operations  with  Whole  Numbers.
---Factors   and   Multiples  Of  Numbers.
----Integers.  

{2}.FRACTIONS.
---Proper, Improper  and  Mixed  Numbers.
----Comparison   of   Fractions.
----Operations   on   Fractions.


{3}.DECIMALS   AND   PERCENTAGES.
----Decimals.
----Operations  on   Decimals.
----Percentages.

{4}.UNITS.
----Units  Of  Length.
----Units  Of  Mass.
----Units  Of    Time. 
----Units  of  Capacity.  

{5}.APPROXIMATIONS.
----Rounding  off  Numbers.
----Significant  Figures.
---Approximations  in  Calclations.

{6}.GEOMETRY.
----Points  and  Lines.
---Angles. 
---Constructions. 
---Polygons   and  Regions. 
---Circles.

{7}. ALGEBRA {I}.
----Algebraic  Operations.
----Equations  in  One  Unknown.
----Equations  in  Two  Unknowns.
---Inequalities

{8}.NUMBERS{II}.
---Rational  Numbers.
--- Irrational  Numbers.
---Real  Numbers.

{9}.RATIO, PROFIT  AND  LOSS.
---Ratio.
---Profit and   Loss.
---Simple  Interest. 

{10}. COORDINATE  GEOMETRY.
---Coordinates  of  a   point.
---Gradient{Slope } of  a Line.
---Equation  of  a  Line.
---Graphs of  Linear  Equations.
---Simultaneous  Equations. 

{11}. PERIMETERS  AND   AREAS.
--- Perimeters  of  Triangles  and   Quadrilaterals.
---Circumference  of  a  Circle.
---Areas  of  rectangles  and  triangles.
---Areas   of  trapezium   and  parallelogram.
---Area   Of  a  Circle.

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FORM    TWO.
TOPICS/ SUB--TOPICS.

{I}.EXPONENTS  AND   RADICALS.  
---Exponents.
---Radicals.
---Transposition  of  Formula.

{2}.ALGEBRA {II}.
--- Binary  Operations.
---Brackets in  Computation.
---Quadratic  Expressions.
---Factorization.

{3}.QUADRATIC  EQUTIONS.
---Solving  Equations.
---General  Solution  of  a   Quadratic   Equations.

{4}.LOGARITHMS.
--- Standard  Form.
---Laws   of  Logarithms.
---Tables  of  Logarithms.

{5}.CONGRUENCE.
--- Congruence  of  Triangles.

{6}.SIMILARITY.
--- Similar  Figures.

{7}.GEOMETRIACAL   TRANSAFORMATIONS.
----Reflection.
---Rotation.
---Transalation.
---Enlargement.
---Combined  Transformations. 

{8}.PYTHAGORAS  THEOREM.
--- Proof  Of  Pythagoras  Theorem.
---Application  Of  Pythagoras  Theorem.

{9}.TRIGONOMETRY.
--- Trigonometical  Ratios.
---Trigonometric Ratios  Of  Special  Angles.
---Trigonometrical  Tables.
---Angles  Of  Elevation  and  Depression.

{10}. SETS. 
---Description  Of  a  Set.
---Types  Of   Sets.
---Subsets.
---Operations  with  Sets.
---Venn  Diagrams. 

{11}.STATISTICS.{I}.
---Pictograms.
---Bar  Charts.
---Line  Graphs.
---Pie  Chart.
---Frequency  Distribution  Tables.
---Frequency  Polygons.
---Histograms.
--Cumulative  Frequency  Curve.

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FORM  THREE.
TOPICS/ SUB--TOPICS.
{1}.RELATIONS 
--- Relations.
---Graph  Of    a   Relation.
---Domain  and Range  Of  a  Relation.
---Inverse  Of  a  Relation. 

{2}.FUNCTIONS.
---Representation  Of  a   Function.
---Domain and Range  Of  a   Function.
---Graphing  Functions.
---Inverse  Of   a  Function.

{3}.STATISTICS.
---Mean.
---Median.
---Mode.

{4}.RATES  AND   VARIATIONS.
---Rates.
---Variations.

{5}.SEQUENCES  AND  SERIES.
---Sequences.
---Series.
---Compound  Interest.

{6}. CIRCLES.
---Definiton   Of   Terms.
---Central   Angle.
---Angle   Properties.
---Chord  Properties.
---Tangent Properties.

{7}.THE  EARTH  AS  A   SPHERE.
---Features  and  Location  of  Places.
---Distances  Along  Great  Circles.
---Distances  Along   Small  Circles.

{8}.ACCOUNTS.
---Double  Entry.
---Trial   Balance.
---Trading  Profit  and  Loss.
---Balance  Sheet.  


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FORM  FOUR.
TOPICS/SUB- TOPICS 
{1}.COORDINATE  GEOMETY {II}. 
---Equation  Of   a  Line.
---Midpoint   Of  a  Line   Segment.
---Distance  Between  Two   Points  On  a   Plane.
---Paralel  and  Perpendicular  Lines.

{2}. AREA  AND  PERIMETER. 
---Area  Of  any  Triangle.
---Area  Of   a  Rhombus.
---Perimeter  Of  a  Regular  Polygon.
---Area  Of  a  Regular  Polygon.
---Area  Of  Similar  Polygons.



{3}.THREE  DIMENSIONAL  FIGURES. 
---Three   Dimensional  Figures.
---Construction  Of   Three  Dimensional Figures.
---Sketching  Three  Dimensional  Figures.
---Surface  Area  Of   Three  Dimensional  Objects.
---Volume  Of  Three  Dimensional  Objects.

{4}.PROBALITY. 
---Probability   Of  an  Event.
---Combined  Events.


{5}.TRIGONOMETRY.
---Trigonometrical  Ratios.
---Sine  and  Cosine  Functions.
---Sine  and  Cosine  Rules.
---Compound  Angles.

{6}.VECTORS.
---Displacement  and   Position  Vectors.
---Magnitude  and  Direction  Of  a  Vector.
---Sum  and  Difference  Of  Vectors.
---Multiplication  Of  a  Vector  by  a   Scalar.
---Application  Of   Vectors.

{7}.MATRICES  AND   TRANSFORMATIONS.
---Operations  On  Matrices.
---Inverse  Of  a   Matrix.
---Matrices  and   Transformations.


{8}.LINEAR  PROGRAMMING.
---Simultaneous   Equations.
---Inequalities.
---The  Objective  Function.
---Maximum  and  Minimum  Values.


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 REFERENCE:-  Tanzania  Institute  Of   Education,Basic  Mathematics  Syllbus   For  Secondary  Schools, Form  I--IV,2010. Dar--es--Salaam,Tanzania.