Further Mathematics SSS1

LESSON 1 – SET THEORY 2 Topics | 2 Quizzes

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Topic 1.1 – definition of set, set notation, type of set.

Quiz 1.1 – definition of set, set notation,type of set.

Topic 1.2 union and intersection of sets.

Quiz 1.2 venn diagram and application up to 3 set problems

LESSON 2 – INDICES AND LOGARITHMS 2 Topics

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Topic 2.1 law of indices

Topic 2.2 application of indices, solution of indices equation

LESSON 3 – SURDS 3 Topics

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Topic 3.1 Definition of surd

Topic 3.2 Rationalization of surds

Topic 3.3 rationalization of denominator

LESSON 4 -LINEAR INEQUALITIES 2 Topics

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Topic 4.1 linear inequalities in one variable

Topic 4.2 linear inequalities in two variable graph of linear inequalities in two variables

LESSON 5 -BINARY OPERATIONS 4 Topics

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Topic 5.1 definition of binary operation

Topic 5.2 law of binary operation

Topic 5.3 identify the element inverse of an element

Topic 5.4 multiplication table of binary operation

LESSON 6 -FUNCTIONS 3 Topics

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Topic 6.1 definition of function

Topic 6.2 type of function

topic 6.3 inverse of a function

LESSON 7 – SEQUENCE AND SERIES 5 Topics

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Topic 7.1 definition of sequence

Topic 7.2 the linear sequence

Topic 7.3 geometric sequence

Topic 7.4 series

Topic 7.5 sum of G.P

LESSON 8 -TRIGONOMETRIC RATIO OF SPECIAL ANGLES AND LOGICAL REASONING 2 Topics

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Topic 8.1 trigonometric ratios of 30,45, and 60

Topic 8.2 application of trigonometric ratio of 30,45, and 60 degrees.

LESSON 9 -CALCULATING AND PROCESSING DEVICE 4 Topics

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Topic 9.1 calculating devices -abacus calculating device

Topic 9.2 decimal and binary system

Topic 9.3 flow chart

Topic 9.4 application of flow charts

LESSON 10 – THE STRAIGHT LINE ON COORDINATE GEOMETRY 7 Topics

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Topic 10.1 co-ordinate of a line 1

Topic 10.2 distance between two points

Topic 10.3 gradient of a line

Topic 10.4 equation of line

Topic 10.5 equation of line 2

Topic 10.6 transform relationship into linear form

Topic 10.7 area of triangles and quadrilateral

LESSON 11 -VECTORS IN TWO DIMENSIONS 4 Topics

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Topic 11.1 scalar and vectors

Topic 11.2 vector addition and subtraction- scalar multiplication vectors magnitude and direction of a vector; unit vectors

Topic 11.3 the triangle law parallelogram law; resolution of vectors

Topic 11.4 scalar (dot) vector application of scalar (dot) product

LESSON 12 – STATISTICS- LOCATION 1 Topic

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Topic 12.1 mean, mode, median, deciles percentiles quartiles.

LESSON 13 -MEASURE OF DISPERSION 1 Topic

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Topic 13.1 range inter-quartiles, mean deviation, and standard deviation .

LESSON 14 -MEASURE OF LOCATION 1 Topic

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Topic 14.1 coefficient of variation.

LESSON 15 – OPERATION RESEARCH -HISTORY AND NATURE OF OPERATION RESEARCH 1 Topic

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Topic 15.1 history and nature of operation research

LESSON 16 – HISTORY AND NATURE OF OPERATION RESEARCH 4 Topics

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Topic 16.1 models of operation research

Topic 16.2 linear programming model

Topic 16.3 transportation model (least cost and northwest corner).

Topic 16.4 assignment model

LESSON 17 – STATISTICS – MODELS 1 Topic

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Topic 17.1 practical application of the models

Quiz

Quiz 1.2 venn diagram and application up to 3 set problems

Further Mathematics SSS1

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