Investigation 1 Number Lines, Activity Drawing Number Lines
Number lines and drawing number lines is an Investigation 1 activity in Grade 4, Saxon Math Intermediate 4 Chapter 1. A number line extends in both directions with zero in the center, positive numbers to the right, and negative numbers to the left. Students use number lines to compare integers, understanding that a number to the right is always greater. For example, -1 is greater than -6 because -1 is closer to zero (further right). This concept corrects the common misconception that a larger absolute value means a larger integer.
Key Concepts
New Concept Numbers less than zero are called negative numbers .
What’s next Next, you’ll use the number line as a tool to visualize these new numbers and compare their values.
Common Questions
What is a number line?
A number line is a straight line that represents all numbers with zero in the center, positive numbers extending to the right, and negative numbers extending to the left.
How do I compare -6 and -1 using a number line?
-1 is to the right of -6 on the number line, so -1 is greater. Numbers further right are always greater, even among negatives.
Why is -1 greater than -6 even though 6 is bigger than 1?
For negative numbers, the one closest to zero is greater. -1 is only 1 unit from zero, while -6 is 6 units away. Less negative means greater.
What is the halfway point between two numbers on a number line?
Add the two numbers and divide by 2 to find the midpoint. Alternatively, count the total distance and mark the center.
How do number lines connect to temperature or debt?
Temperature below zero uses negative numbers—just like on a number line. Debt works similarly: owing 6 dollars (-6) is a worse situation than owing 1 dollar (-1).