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 application of function solution of problem of 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 midpoint of a line segment

Topic 10.2 gradient of a straight line

Topic 10.3 distance between two points

Topic 10.4 conditions for parallelism and perpendicularity

Topic 10.5 equation of line

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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