A focused Grade 4 learning session for Line Plots with Fractions using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can use a line plot to represent and solve problems with fractional data.
Line Plots with Fractions means using equal parts, number lines, and clear fraction language to describe parts of a whole.
Question: Look at the line plot of seed lengths (in inches). How many X marks are above \(\frac{2}{4}\) inch?
Why it works: On the line plot, count the X marks stacked above \(\frac{2}{4}\) inch. There are exactly \(\mathbf{2}\) X marks at that position.
Answer: \(2\)
Question: Look at the line plot of plant growth measurements (in inches). How many X marks are above \(\frac{2}{8}\) inch?
Answer: \(3\)
Question: Look at the line plot of measurements in halves of an inch. How many X marks are above \(\frac{1}{2}\) inch?
Answer: \(2\)
Question: Here is a line plot showing sticker lengths (in inches): What is the difference in inches between the longest and shortest stickers?
Why it works: The shortest sticker is at \(\frac{1}{8}\) inch and the longest is at \(\frac{4}{8}\) inch. The difference is \(\frac{4}{8} - \frac{1}{8} = \mathbf{\frac{3}{8}}\) inch.
Answer: \(\frac{3}{8}\) inch
Line Plots with Fractions becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Equal parts first, fraction name second.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
Look at the line plot of seed lengths (in inches). How many X marks are above \(\frac{2}{4}\) inch?
Answer B: \(2\)
On the line plot, count the X marks stacked above \(\frac{2}{4}\) inch. There are exactly \(\mathbf{2}\) X marks at that position.
Look at the line plot showing pencil lengths (in inches): How many pencils measured \(\frac{2}{4}\) inch?
Answer C: \(3\)
Look at the line plot where \(\frac{2}{4}\) inch is marked. Count the X marks stacked above that tick: we see \(\mathbf{3}\) marks.
Look at the line plot of plant growth measurements (in inches). How many X marks are above \(\frac{2}{8}\) inch?
Answer C: \(3\)
On the line plot, count the X marks stacked above \(\frac{2}{8}\) inch. There are \(\mathbf{3}\) X marks.
Look at the line plot of measurements in halves of an inch. How many X marks are above \(\frac{1}{2}\) inch?
Answer B: \(2\)
On the line plot, count the X marks stacked above \(\frac{1}{2}\) inch. There are exactly \(\mathbf{2}\) X marks.
Look at the line plot of ribbon lengths in fourths of an inch. Which length has the most X marks?
Answer C: \(\frac{3}{4}\) inch
On the line plot, \(\frac{1}{4}\) inch has \(2\) X marks, while \(\frac{3}{4}\) inch has \(3\) X marks. So \(\mathbf{\frac{3}{4}}\) inch has the most.
Here is a line plot showing sticker lengths (in inches): What is the difference in inches between the longest and shortest stickers?
Answer C: \(\frac{3}{8}\) inch
The shortest sticker is at \(\frac{1}{8}\) inch and the longest is at \(\frac{4}{8}\) inch. The difference is \(\frac{4}{8} - \frac{1}{8} = \mathbf{\frac{3}{8}}\) inch.
Students recorded the thickness of books using fourths of an inch. The data are: \(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{2}{4}\), \(\frac{2}{4}\). If you plot this data, how many X marks will be above \(\frac{2}{4}\)?
Answer C: \(3\)
We count the measurement \(\frac{2}{4}\) inch in the data: it appears \(3\) times. So there are \(\mathbf{3}\) X marks above it.
Look at the line plot with measurements in halves: How many data points are shown on this line plot?
Answer C: \(8\)
Count all the X marks across the entire line plot: \(1 + 2 + 3 + 1 + 1 = \mathbf{8}\) data points in total.
A baker measured flour scoops in eighths of a cup. The measurements are: \(\frac{2}{8}\), \(\frac{3}{8}\), \(\frac{2}{8}\), \(\frac{4}{8}\), \(\frac{3}{8}\), \(\frac{3}{8}\). Which measurement appears most often?
Answer B: \(\frac{3}{8}\) cup
Let us count: \(\frac{2}{8}\) cup appears \(2\) times, \(\frac{3}{8}\) cup appears \(3\) times, and \(\frac{4}{8}\) cup appears \(1\) time. So \(\mathbf{\frac{3}{8}}\) cup is the most common.
On a line plot showing string lengths in fourths, there are \(2\) X marks at \(\frac{1}{4}\) inch, \(3\) X marks at \(\frac{2}{4}\) inch, and \(1\) X mark at \(\frac{3}{4}\) inch. What is the total number of strings?
Answer C: \(6\)
Add up all the X marks: \(2 + 3 + 1 = \mathbf{6}\) strings in total.
A line plot shows leaf lengths in halves of an inch: \(\frac{1}{2}\), \(\frac{1}{2}\), \(1\), \(\frac{1}{2}\), \(1\), \(1\). How many leaves measured \(1\) inch?
Answer C: \(3\)
Count how many leaves measured \(1\) inch (which is the same as \(\frac{2}{2}\) inch). We find \(\mathbf{3}\) leaves with this length.
