ENGINEERING LEARNING CENTER

Pre Algebra – Module Syllabus 

Resource Description /
Textbook required  Prealgebra, Fourth Edition Alan S. Tussy, R. David Gustafson and Diane R. Koenig /
Other Resources  Companion website, Internet search of periodicals. /
Week Topic Chapters 
1Topic: Numbers and Number Systems 
 
Content: 
Introduction to different types of numbers: natural numbers, whole numbers, integers, rational and irrational numbers 
Understanding number lines and absolute value 
Operations with different types of numbers 
 
1-2
2Topic: Prime Numbers and Factoring 
Content: 
Definition of prime and composite numbers 
Prime factorization of numbers 
Greatest common factor (GCF) and least common multiple (LCM) 
1
3Topic: Fractions 
 
Content: 
Simplifying fractions 
Addition, subtraction, multiplication, and division of fractions 
Converting between improper fractions and mixed numbers 
 
4
4                                             REVISION 
5Topic: Order of Operations and Rules of Algebra 
 
Content: 
Understanding the order of operations (PEMDAS) 
Introduction to basic algebraic expressions 
Simplifying algebraic expressions using order of operations 
 
3
6Topic: Linear Equations and Graphs of Straight Lines 
Content: 
Solving simple linear equations 
Graphing linear equations on the coordinate plane 
Understanding slope and intercept 
 
8
7                                            REVISION 
8Topic: Ratios, Rates, and Proportions 
Content: 
 
Understanding ratios and rates 
Setting up and solving proportions 
Applications of ratios and proportions in real-life scenarios 
 
6
9Topic: Direct and Inverse Variation 
Content: 
 
Introduction to direct variation and its applications 
Introduction to inverse variation and its applications 
Graphing direct and inverse variation on the coordinate plane 
8
10                                             REVISION 
11Topic: Percentages 
Content: 
 
Converting between fractions, decimals, and percentages 
Solving percentage problems: finding the part, whole, or percentage 
Applications of percentages in real-life scenarios (e.g., discounts, tax) 
 
7
12Topic: Simple Interest Rates 
Content
 
Understanding simple interest formula: I=P×r×t  
Solving problems involving simple interest 
Applications of simple interest in real-world contexts 
 
7
13REVISION
14Topic: Areas of Simple Geometric Figures 
Content: 
 
Calculating the area of rectangles, squares, triangles, and circles 
Applications of area in real-life contexts 
Understanding the relationship between area and perimeter 
Homework: Exercises on finding the area of various geometric shapes. 
 
9
15Topic: Volumes of Simple Geometric Figures 
Content: 
 
Calculating the volume of cubes, rectangular prisms, and cylinders 
Understanding the relationship between volume and surface area 
Applications of volume in real-life scenarios 
Homework: Problem set on calculating volumes of simple geometric figures. 
9
16Topic: FINAL EXAM REVIEW SESSION   
Content: 
 
Review of all course topics covered 
Problem-solving sessions with complex, multi-step problems 
Group activities and discussions to reinforce concepts