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.