Understanding and Graphing Integers
This comprehensive lesson explores the concept of integers and their practical applications in everyday scenarios. The content focuses on ordering integers and representing them on a number line, providing students with real-world examples to enhance understanding.
Definition: Integers are whole numbers that include positive numbers, negative numbers, and zero.
Example: Real-world integer representations:
- Climbing 90 feet is represented as +90
- Having a debt of $50 is represented as -50
- Losing a game by 23 points is represented as -23
Highlight: When graphing integers on a number line, numbers increase as you move right and decrease as you move left from zero.
Example: Graphing integers -7, -5, 0, 5, and 7 on a number line demonstrates their relative positions, with negative numbers to the left of zero and positive numbers to the right.
Vocabulary: Number line - a horizontal line marked with numbers at regular intervals, used to visualize the ordering of integers and their relationships to each other.
