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KOLEJ PROFESIONAL MARA

PREPARATORY INTENSIVE PROGRAM (PIP)

SCHEME OF WORK

Septem2011

MATHEMATICS

MAT 1007

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MATHEMATICS [MAT 1007] SYLLABUS Page 1

SCHEME OF WORK

Program Preparatory Intensive Program (PIP)

Course Title Mathematics

Code MAT 1007

Status Core

Level Preparatory Intensive Program (PIP)

Contact Hours (4L + 4T) = 8 hours

Prerequisite None

Assessment Coursework

Tutorial 10%

Test 30% ( 4 Tests The best 3)

Mid Term 20%

Final 40%

100%

Semester / Year Taught 1

Course Learning Objective

On completion of this subject, students should be able to:

Improve the basic mathematics skills equivalent to SPM level Prepared to take up further mathematics relevant to the course Apply the knowledge to the real world Provide students with an educational that motivates them to pursue life-long

learning

Synopsis

This subject is meant for students who are preparing to take up diploma course. It also

provides strong fundamental mathematical concepts and techniques related to algebra and

its manipulations an elementary of geometry coordinate.

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MATHEMATICS [MAT 1007] SYLLABUS Page 2

Course Contents

Week TitleLevel of

Difficulty

Contact

HoursReferences

1-2 1 ARITHMETICS1.1 Type of Numbers

1.1.1 Whole Numbers

1.1.2 Prime Numbers

1.1.3 Odd Numbers

1.1.4 Even Numbers

1.1.5 Integers

1.2 Common Factors

1.2.1 Highest Common Factor (HCF)

1.2.2 Lowest Common Multiple (LCM)1.3 Operation of Numbers

1.3.1 Addition and Subtraction

1.3.2 Multiplication and Division

1.3.3 Combined Operation of Numbers

L1/2/3 10

1L+1T

2L+2T

2L+2T

2 - 3 2 FRACTION AND DECIMAL2.1 Fraction

2.1.1 Types of Fractions

2.1.2 Operations of Fractions

2.2 Decimal2.2.1 Decimal Places (d.p)

2.2.2 Significant Figures (s.f)

2.2.3 Operation of Decimals

2.3 Combination Operation involving Fractions

or/and Decimals

L1/2/3 12

2L+4T

1L+1T

2L+2T

TEST 1 : TOPIC 1 & TOPIC 2 ( WEEK 3)

3 4 3 RATIO AND PERCENTAGES3.1 Ratio

3.1.1 Simplifying ratio3.1.2 Proportional Parts

3.2 Percentages3.2.1 Conversion of Fraction / Decimals

to Percentage and vice versa

3.2.2 Percentage of a Quantity3.2.3 Percentage Change

L1/2/3 10

2L+2T

1L+1T

2L+2T

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MATHEMATICS [MAT 1007] SYLLABUS Page 3

TEST 2 : TOPIC 3 (WEEK 5)

5 6 4 ALGEBRA4.1 Expression4.2 Expansion4.3 Operation of Algebraic Expression4.4 Factorization

4.4.1 Common factor4.4.2 By Grouping4.4.3 Quadratic Expressions4.4.4 Difference of Two Squares

L1/2/3 14

1L+1T

2L+2T

2L+2T

2L+2T

MIDTERM TOPIC 1, 2 ,3 & 4 (WEEK 7)

6 , 8 - 9 5 EQUATION5.1 Linear5.2 Quadratic

5.2.1 Factorization

5.2.2 Formulae

5.3 Simultaneous Equation (2 variables)5.3.1 Elimination Method5.3.2 Substitution Method

5.4 Linear Inequalities

L1/2/3 16

2L+2T

2L+2T

2L+2T

2L+2T

9 11 6 INDICES, STANDARD FORM & FORMULAE6.1 Indices

6.1.1 Laws of Indices6.1.2 Operations of Indices6.1.3 Exponential Equation

6.2 Standard Form6.2.1 Positive and Negative Indices6.2.2 Operations of Standard Form

6.3 Formulae6.3.1 Evaluating Formulae6.3.2 Transposition of Formulae

L1/2/3 14

2L+2T

2L+2T

1L+1T

2L+2T

TEST 3 : TOPIC 5 & 6 (WEEK 12)

11 12 7 VARIATION7.1 Direct Variation7.2 Inverse Variation7.3 Joint Variation

L1/2/3 6

2L+4T

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MATHEMATICS [MAT 1007] SYLLABUS Page 4

12 13 8 STRAIGHT LINE8.1 Gradient of a straight line8.2 Equation of a straight line8.3 Parallel Lines8.4 Point of Intersection

L1/2/3 8

2L+2T

2L+2T

TEST 4 : TOPIC 7 & 8 (WEEK 14)

13 14 9 STATISTICS9.1 Presenting Data

9.1.1 Pictogram9.1.2 Pie Chart9.1.3 Bar Chart9.1.4 Line Graph

9.2 Frequency Distributions9.2.1 Frequency Table9.2.2 Histogram9.2.3 Frequency Polygons9.2.4 Ogive

9.3 Mean, Mode and Median

14

1L+1T

4L+4T

2L+2T

FINAL EXAM (TOPIC 5, 6,7,8 & 9)