JOURNEY THROUGH MATHS STUDENT BOOK 5 NEW EDITION (PCTB)

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The JOURNEY THROUGH MATHS STUDENT BOOK 5 NEW EDITION (PCTB) is the primary mathematics textbook for Class 5 students, designed to complete the primary education phase.¹ It is published by Paramount Books and is fully aligned with the 2020 National Curriculum of Pakistan (PCTB).²

This book builds upon the foundation of previous grades, introducing more abstract concepts and higher-level problem-solving across all mathematical strands, including the formal introduction of basic algebraic elements and deeper concepts in geometry and data analysis.

Book Details

Core Curriculum Topics (Class 5)

The Class 5 curriculum significantly advances the students’ mathematical knowledge, focusing on the following key areas:

1. Numbers and Operations

• Whole Numbers: Extending the number system up to one billion ($\mathbf{1,000,000,000}$), focusing on place value, reading, writing, and rounding.
• Number Theory: Formal introduction to divisibility rules, finding Highest Common Factor (HCF), and Lowest Common Multiple (LCM).³

   

• Four Operations: Mastering all four operations on large whole numbers, fractions, and decimals, and applying the Order of Operations (BODMAS/PEMDAS).

2. Fractions and Decimals

• Fractions: Performing all four mathematical operations (addition, subtraction, multiplication, and division) on similar and dissimilar fractions and mixed numbers.
• Decimals and Percentage: Deepening the understanding of decimals, including their conversion to fractions and vice versa. Introducing the concept of percentage and simple calculations.

3. Measurement and Application

• Advanced Measurement: Working with units of distance, mass, capacity, and time, including multi-step conversion word problems.
• Unitary Method: Introducing the unitary method for solving real-world proportional problems.
• Financial Math: Basic concepts of profit and loss.⁴

4. Geometry and Mensuration

• Geometry: Identifying and classifying angles (acute, obtuse, right, straight, reflex).⁵ Exploring properties of triangles and quadrilaterals. Introducing symmetry.
• Area, Perimeter, and Volume: Calculating the perimeter and area of complex shapes and introducing the concept of volume for basic 3D objects (like rectangular prisms).

5. Data Handling

• Statistics: Calculating the average (mean) of a given data set.⁶
• Graphical Representation: Reading and interpreting more complex forms of data representation, such as bar graphs and line graphs.

Book’s Design and Pedagogy

The textbook is characterized by its student-centric approach:

• Comprehensive Coverage: It is meticulously crafted to ensure complete coverage of all Student Learning Outcomes (SLOs) outlined in the PCTB 2020 curriculum.⁷
• Clear and Visual: It features a highly visual and structured approach with clear explanations to make advanced mathematical concepts more accessible and engaging.⁸
• Skill Development: The book includes ample examples and extensive practice questions that gradually increase in difficulty, fostering critical thinking and problem-solving skills essential for middle school math.⁹