Math.5.MD.2 5.MD.B.2

Common Core Standards Data Displays & Analysis
Grade:	5th Grade
Standard:	Math.5.MD.2 or 5.MD.B.2
Description:	Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

A line plot is a data display, along a number line, which shows frequency.
The frequency is indicated by a marker, like an X or a dot.

There are 2 x's above

11 \frac{1}{2}

feet. Multiply

11 \frac{1}{2}

feet by 2.

11 \frac{1}{2}

ft ×

2

\frac{23}{2}

ft ×

2

\frac{46}{2}

ft =

23

There are 4 x's above

11 \frac{5}{8}

feet. Multiply

11 \frac{5}{8}

feet by 4.

11 \frac{5}{8}

ft ×

4

\frac{93}{8}

ft ×

4

\frac{372}{8}

ft =

46 \frac{4}{8}

ft =

46 \frac{1}{2}

There are 3 x's above

12 \frac{1}{4}

feet. Multiply

12 \frac{1}{4}

feet by 3.

12 \frac{1}{4}

ft ×

3

\frac{49}{4}

ft ×

3

\frac{147}{4}

ft =

36 \frac{3}{4}

There are 2 x's above

13 \frac{1}{2}

feet. Multiply

13 \frac{1}{2}

feet by 2.

13 \frac{1}{2}

ft ×

2

\frac{27}{2}

ft ×

2

\frac{54}{2}

ft =

27

Now, find the sum of all of the totals.

So, if placed end-to-end, the total length of all of the compact cars would be

133 \frac{1}{4}

feet.

Common Core Standards