Distance Measure
About This Worksheet
This worksheet helps students find the horizontal or vertical distance between two points on a coordinate plane. The main idea is that students can use the difference between matching coordinate values to measure how far apart two points are. For example, points at (5,3)(5,3) and (5,-4)(5,-4) are 7 units apart because their x-values are the same and the y-values differ by 7. This gives students practice connecting ordered pairs with actual distance.
Curriculum and Grade Alignment
This activity is designed for fifth-grade math and builds on CCSS.MATH.CONTENT.5.G.A.1 by using coordinate pairs in a more meaningful way. Students should already know how to read ordered pairs and identify whether two points line up horizontally or vertically. The next step is using coordinate relationships to study shapes, side lengths, and perimeter on a graph. This worksheet helps students see that coordinates can be used for measuring, not just locating points.
Student Tasks
On this worksheet, students will find the distance between eight pairs of points. Each pair shares either the same x-coordinate or the same y-coordinate, so the distance can be found by comparing the other values. Students use absolute value to keep the final distance positive. The problems include both positive and negative coordinates, giving students practice crossing the axes when needed.
Common Challenges
Some students may subtract in the wrong order and think a negative answer means the distance is negative. Others may compare the wrong coordinates instead of noticing which values stay the same. Points on opposite sides of an axis can also be tricky because students may forget to count the full distance across zero. Teachers can help by reminding students that distance is always positive and absolute value shows how far apart two numbers are.
Teaching Tips
This worksheet works well after students are comfortable reading points in all four quadrants. A teacher can model one vertical example and one horizontal example before students begin. At home, parents can ask the child which coordinate stays the same before doing any subtraction. That simple check helps students know whether to compare x-values or y-values.
Worksheet Features
The worksheet includes eight coordinate pairs with space to show the absolute-value subtraction used to find each distance. Both horizontal and vertical examples are included, so students practice recognizing each type. The problems use positive and negative values to build stronger number-line understanding. The page works well for independent practice, homework, review, or preparation for coordinate geometry.