# Plotting Fractional Numbers On A Number Line Math Games

In this series of games, your students will learn to represent a fraction a/b on a number line diagram by marking off a length 1/b from 0. The Plotting Fractional Numbers On A Number Line learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 3.NF.A.2.b as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

**Concepts Covered**

Denominator denotes the size of the parts when a Whole is split into equal parts, found under the fraction bar in a fraction. The numerator denotes the number of parts of the whole that are indicated, found on top of the fraction bar in a fraction. Starts with unit fractions or fractions with a numerator of 1, which are formed by partitioning a whole into equal parts and taking one part. Move from an understanding of “equal parts” to “parts with equal measurements”.

Unit fractions are to be understood to be the basic building block of all fractions. On a number line, a whole is the unit interval or the interval from 0 – 1. The rest of the consecutive whole numbers on a line have the same interval length as the unit interval. Constructing a unit fraction on a number line consists of partitioning the unit interval into b sections with equal measurement. Where b represents the denominator in 1/b and recognizing the end of the first unit fraction interval as 1/b. Each consecutive partitioned interval is also equal to 1/b.

Consecutive whole numbers counting from 0 can be partitioned into equal b intervals where b represents the denominator in 1/b. The intervals can partition the consecutive whole numbers on the number line. Once the number line is partitioned into b equal intervals, a/b are represented on the number line by counting the consecutive unit fractions from 0 until arriving at the a/b value.

A preview of each game in the learning objective is found below.

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