Fractional inches & line plots

Half an inch makes a difference

Read lengths between whole-inch marks using equal half inches.

Explore this lesson →

8 practice questions · Optional read aloud · Thinking pad

Let’s understand the idea.

  1. A ruler measures the distance between an object's ends. Its physical edge is not necessarily the zero mark.
  2. Two halves or four fourths make one inch. The spaces between marks are equal length units; count spaces, not both ends.
  3. Record each measured object once. A line plot puts one X above each recorded length, and stacks separate X marks for repeated lengths.
  4. Length labels and object counts answer different questions. Sliding a strip preserves its length; stretching it changes its measurement and calls for a new record.

Something to notice

Ask the learner to align a physical ruler marked in halves or fourths of an inch, measure real objects, and record each object once on a line plot. Ask why repeated lengths need separate X marks. These screen rulers are scaled drawings, not physical inches. Practice here uses endpoints on marked intervals; choosing how to measure a real object and explaining the result still need observation.

Try it. Change it. Explain it.

Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.

You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.

Let’s try it →

Curriculum connection

Grade 3 · 3.MD · US Common Core

3.MD.B.4

This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.

Keep discovering