NIST/ADM/SCHBUL/OO1

NYANDARUA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHEME OF WORK

NAMES: Alphonce Kimutai Kirui LEVEL: Diploma NUMBER OF STUDENTS: 5 INSTITUTION:NYANDARUA INSTITUTE OF SCIENCE AND TECHNOLOGY CLASS:BCT 12 DATE OF PREPERATION: 16/01/2012 SUBJECT: Mathematics TERM: ONE- 2012 DATE OF REVISION SYLLABUS TOPIC: Number Systems SUB-TOPIC: Types of Numbers, Place Values, Rounding Off, Prime

Factors, GCD, LCM, Arithmetic Operations

Week Period Number

Lesson Title Objectives Key Points Application/Activities Reference and Teaching Aids

Remarks

1 1 Opening, Time Tabling, Class and Lesson allocations 2 3 4

1 1 1

-types of numbers -arithmetic operations on umbers -place value of digits -rounding off Prime factors -GCD and LCM -Fractions and Decimals

By the end of the sub-module unit, the trainee should be able to; -identify types of numbers -carry out arithmetic operations on numbers -state the place value of digit in a number -round off numbers -state accuracy to given significant figures -express numbers as product of prime factors -find the GCD and LCM of a set of numbers -perform operations on fractions and decimals

-integers -decimals -fractions -rational and irrational numbers -rounding off -Significant figures -prime factors -place value -GCD -LCM

- The lecturer to use whiteboard illustrations to explain to the trainees the lesson content using sample examples and questions - the students to participate in discussions, contribute to solution of problems, write notes, answer given questions, and ask questions - the lecturer to go round marking evaluation assignments and questions

-Engineering Mathematics by John Bird 6th

Page 3 to Page 10 Edition

-Basic Engineering Mathematics by John Bird 4th

Page 14 to Page 26

Edition

NIST/ADM/SCHBUL/OO1

NAMES:Alphonce Kimutai Kirui LEVEL:Diploma NUMBER OF STUDENTS: 5 INSTITUTION:NYANDARUA INSTITUTE OF SCIENCE AND TECHNOLOGY CLASS:BCT 12 DATE OF PREPERATION: 16/01/2012 SUBJECT: Mathematics TERM: ONE 2012 DATE OF REVISION: SYLLABUS TOPIC: INDICES AND LOGARITHMS SUB-TOPIC: Index of a number, laws of indices, operations in

indices, standard form, laws of logarithms, logarithmic operations

Week Period Number

Lesson Title Objectives Key Points Application/Activities Reference and Teaching Aids

Remarks

5 6 7

1 1 1

-definition of an index of a number -laws of indices -indicial operations -numbers in standard form -laws of logarithms -logarithmic operations -natural logarithms -change of base -logarithmic equations -calculator /tables

By the end of the sub-module unit, the trainee should be able to: -define an index of a number -state the laws of indices -perform indicial operations -write numbers in standard form -state the laws of logarithms -perform logarithmic operations -evaluate natural logarithms -convert numbers from one base to another - solve logarithmic equations -use calculator/tables

-indices -logarithms -standard form

The lecturer to use whiteboard illustrations to explain to the trainees the lesson content using sample examples and questions - the students to participate in discussions, contribute to solution of problems, write notes, answer given questions, and ask questions - the lecturer to go round marking evaluation assignments and questions

-Engineering Mathematics by John Bird 6th

Page 11 to Page 17 Edition

-Basic Engineering Mathematics by John Bird 4th

Page 52

Edition

NIST/ADM/SCHBUL/OO1

NAMES: Alphonce Kimutai Kirui LEVEL: Diploma NUMBER OF STUDENTS:5 INSTITUTION:NYANDARUA INSTITUTE OF SCIENCE AND TECHNOLOGY CLASS:BCT 12 DATE OF PREPERATION:16/01/2012 SUBJECT: Mathematics TERM: ONE 2012 DATE OF REVISION: SYLLABUS TOPIC: ALGEBRA SUB-TOPIC: Statement and Simplification of Algebraic Expressions,

Factorization, Transposition, Polynomials, Solution of equations, Partial Fractions, Simultaneous Equations

Week Period Number

Lesson Title Objectives Key Points Application/Activities Reference and Teaching Aids

Remarks

8 9 10

1 1

-statement in algebraic form -simplification of algebraic expressions -factorization of algebraic expressions -transposition of formulae - division of formulae -solution of equations -partial fractions -simultaneous equations ; -evaluation of polynomials

By the end of the sub-module unit, the trainee should be able to; -write statements in algebraic form -simplify algebraic expressions -factorize algebraic expressions -change the subject of a formula -divide polynomials -solve equations -obtain partial fractions from composite fractions -Solve simultaneous equations -Evaluate polynomials

-algebraic expressions -factorization -polynomials Simultaneous equations

The lecturer to use whiteboard illustrations to explain to the trainees the lesson content using sample examples and questions - the students to participate in discussions, contribute to solution of problems, write notes, answer given questions, and ask questions - the lecturer to go round marking evaluation assignments and questions

Engineering Mathematics by John Bird 6th

-Basic Engineering Mathematics by John Bird 4

Edition

th

Edition

11 & 12

1 1

Revision and Examinations(Setting, Moderation, Handing out Scripts, Invigilation, Collecting Scripts)