It covers:
• Positive and negative numbers
• Integers and zero
• Number line representation
• Comparing integers
• Addition of integers
• Subtraction of integers
• Inverse numbers
• Movement on floors and lifts
• Infinite number line
• Token model for integers
• Zero pairs
• Converting subtraction into addition
• Credits and debits in bank accounts
• Heights above and below sea level
• Temperatures below zero
• Geographical cross sections
• Integer puzzles and patterns
• Applications of integers in real life
The chapter includes many practical activities involving lifts, buildings, mines, thermometers, bank accounts, tokens, number lines, and puzzles to help students understand integers visually and logically.
Overall, this chapter develops logical thinking, problem-solving ability, number sense, visualization skills, and understanding of positive and negative quantities used in real life.
🔑 Key Points
• Integer – Positive numbers, negative numbers, and zero together.
• Positive Number – Number greater than zero.
• Negative Number – Number less than zero.
• Zero – Neither positive nor negative.
• Number Line – Line showing numbers in order.
• Positive Direction – Movement to the right on number line.
• Negative Direction – Movement to the left on number line.
• Inverse Numbers – Opposite numbers whose sum is zero.
• Addition of Integers – Combining movements or values.
• Subtraction of Integers – Finding movement or difference.
• Movement Model – Starting Number + Movement = Target Number.
• Zero Pair – One positive and one negative token cancelling each other.
• Token Model – Method using positive and negative counters.
• Credit – Positive balance or addition in bank account.
• Debit – Negative balance or subtraction in bank account.
• Sea Level – Reference level of height as 0 m.
• Above Sea Level – Positive height.
• Below Sea Level – Negative height.
• Temperature Below 0°C – Negative temperature.
• Infinite Number Line – Number line extending forever both ways.
• Comparison of Integers – Numbers to the right are greater.
• Subtracting Negative Number – Same as adding positive number.
👉 👉Integers help us understand real-life situations like temperature, heights, bank balances, profits, losses, and movements above or below a reference point.