Line Plots with Fractions

Line Plots with Fractions

A line plot is a way to display data along a number line, where each dot or x represents one number in a set of numbers

Reading and Understanding the Components of a Line Plot

Identify the title

Identify the scaled intervals (whole numbers, fractions, or decimals)

Analyze the data represented with dots or X

Choosing the scale for a line plot.

We know a number line is from least to greatest. Look at the data. How should we label the number line?

Since the lowest length is 4 3/4 inches and the longest length is 6, the scale should be 4 to 6.

4 because it is the lowest whole number closest to 4 3/4 and 6 because the longest length, 6, is already a whole number.

Multiple Choice

The scale (numbers) on the line plot is organized from

• least to greatest

• greatest to least

Look at the slide. Make observations and be ready to answer questions.

Multiple Choice

What is the total number of colored pencils Daniel has?

• 6

• 5

• 4

• 4 1/2

Multiple Select

 $5\frac{2}{4}inches$ 

 A pencil on the line plot measures 5 2/4 inches. This pencil is in between what 2 whole numbers on the line plot? Choose 2 numbers.

• 3

• 4

• 5

• 6

Multiple Choice

What is the length of the shortest pencil?

• 4 inches

• $4\frac{1}{2}inches$

• $4\frac{3}{4}inches$
  

• 6 inches

Multiple Select

What is double the shortest length? Choose 2.

•  $8\frac{3}{8}inches$  

•  $9\ \frac{1}{2}\ inches$  

•  $8\frac{6}{4}inches$  

•  $12\ inches$  

Multiple Choice

What is the length of the longest pencil?

• 4 3/4

• 5 1/2

• 6

• 4

Multiple Choice

What is the difference between the longest pencil and shortest pencil?

• $2\frac{3}{4}inches$

• $1\frac{1}{4}inches$

• $10\frac{3}{4}inches$

• $1\ \frac{1}{2}inches$

Finding the difference between longest and shortest.

6 - 4 $\frac{3}{4}$  =?

decompose 6 to 5 + $\frac{4}{4}$   

so 5 $\frac{4}{4}$  - 4 $\frac{3}{4}$  = 1 $\frac{1}{4}$  

Line Plot of Amount Time Doing Homework

Look at the slide. Make observations and be ready to answer questions.

Multiple Choice

How many hours do the least number of students spend doing homework?

• 0

• 1

• $1\frac{1}{4}hours$

• $2\ \frac{1}{2}hours$

What is the difference between the longest time a student spent doing homework and the shortest time a student spent doing homework? 

Answer on the next slide.

Multiple Choice

What is the difference between the longest time spent doing homework and and shortest time?

• 4 hours

• 2 hours

• 1 hour

• $1\frac{1}{4}hours$

The shortest time spent doing homework is 1

 hour, and the longest time spent doing homework is 3

 hours.

We can subtract to find the difference. 

3−1=2