Back to Exercise: Make a line plot to display a data set of measurements in fractions of a unit

Exercises: Making and Using Line Plots With Fractional Measurements

Work through each section in order. When a line plot is shown, use only the plot --
not a raw data list -- to answer the questions.

Grade 4·22 problems·~30 min·Common Core Math - Grade 4·standard·4-md-b-4

Printable layout

Recall / Warm-Up

These problems review skills from earlier grades that this lesson depends on.

On a number line from 0 to 2, $\frac{3}{4}$ lies between ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ and ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

Add: $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$ .

On a line plot, what does each X represent?

One data point (one measurement from the data set)

The total number of data points

The scale of the number line

The average of all the measurements

Fluency Practice

A data set of leaf widths includes these measurements: $\frac{1}{2}, \frac{3}{4}, \frac{1}{4}, \frac{1}{2}, 1$ . What fractional unit should the number line scale use?

Halves

Fourths

Eighths

Whole numbers only

A data set of pencil lengths includes only these measurements: $\frac{3}{8}, \frac{5}{8}, \frac{5}{8}, \frac{7}{8}$ . What fractional unit should the number line scale use?

Halves

Fourths

Eighths

Tenths

A number line is scaled in eighths, with tick marks at $\frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \ldots, 1$ . At which tick mark does the value $\frac{1}{2}$ belong?

$\frac{4}{8}$

$\frac{1}{8}$

$\frac{2}{8}$

$\frac{8}{8}$

A data set of frog jump lengths (in fourths of a foot) is: $\frac{1}{4}, \frac{3}{4}, \frac{3}{4}, \frac{3}{4}, 1, 1\frac{1}{4}$ . How many Xs would be stacked above $\frac{3}{4}$ on the line plot?

A data set is measured to the nearest eighth: $\frac{1}{8}, \frac{1}{8}, \frac{3}{8}, \frac{3}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8}$ . The smallest value is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ and the largest value is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

A student draws a number line and places the tick for $\frac{1}{4}$ very close to the tick for 0, but places the tick for $\frac{1}{2}$ far away from $\frac{1}{4}$ . What is wrong with this number line?

Equal fractions should get equal spacing -- the gap from 0 to $\frac{1}{4}$ should look the same as the gap from $\frac{1}{4}$ to $\frac{1}{2}$ .

Nothing is wrong -- fractions with smaller numerators should be drawn closer together.

The tick marks should be labeled in a different order.

The number line should not include $\frac{1}{4}$ at all.

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