# Activities to Teach Students to Graph and Compare Fractions With Like Numerators on Number Lines

Fractions can be daunting for many students, especially when it comes to comparing and graphing them. However, one effective method to make these concepts easier to understand is using number lines. Number lines provide a visual aid that allows students to see the relationship between fractions with like numerators and their placement on the number line. Here are some activities that teachers can use to teach students how to graph and compare fractions with like numerators using number lines.

Activity 1: Fraction Number Line Game
This game can be played with two students or in small groups. Create a number line on the board or use a large piece of paper, and draw the number line with the denominator at the bottom. For instance, if the denominator is four, start with zero at the bottom and label the ticks 1/4, 2/4, 3/4, and 4/4. On the right side of the number line, draw a picture of a ruler. The first student will roll a die to determine the numerator of the fraction they will plot onto the number line. The student will then use the ruler to measure and plot the fraction onto the number line. The second student will do the same, and the winner is the student who correctly plots their fraction closest to the middle of the number line.

Activity 2: Comparing Fractions on Number Lines
Use a large piece of paper or draw a number line on the board with fractions with the same denominator but different numerators. For instance, create a line with fractions such as 1/4, 2/4, 3/4, and 4/4. Afterward, pass out cards to students with different fractions with the same denominator, and ask them to compare their fraction to the ones on the number line. Students will then plot their fraction on the number line, and the class will discuss and compare each student’s plot. The activity can then be repeated with fractions with various denominators.

Activity 3: Fraction Line-Up
This activity can be performed in small groups. Give each group a set of fraction cards with the same denominator, such as 1/3, 2/3, 3/3, 4/3, and 5/3. The students must line up the cards in order from the smallest fraction to the largest fraction. Afterward, the groups compare and discuss their line order, and the teacher can then discuss each fraction and location on the number line.

In conclusion, number lines provide a helpful visual aid for students to understand how to graph and compare fractions with like numerators. These activities are not only fun, but they also create excitement when learning a challenging subject. Furthermore, students feel more confident when class time is spent learning in an interactive manner. As a teacher, it is essential to be creative while teaching fractions to students and make learning fractions easier for students of all levels.