Measurement and Data
5.MD
Essential Questions:
Essential Understanding:
How can the measurement of an object be converted into equivalent
units?
How can we use line plots to display a data set of fraction
measurements?
What is volume?
What units of measurement do you use to measure volume of a solid
figure?
How can you calculate volume of rectangular prisms in real world and
mathematical situations?
Students will demonstrate the ability to convert measurements within
the same system of measurement in the context of multi-step, realworld problems. Students will be able to display fractional data on a
line plot and be able to use the line plot to solve real world problems.
They will understand that volume is a derived attribute that, once a
length unit is specified, can be computed as the product of three
length measurements or as the product of one area and one length
measurement.
Note: no gaps or overlaps with unit cubes
Vocabulary: conversion, metric system, ratio, US standard, data set,
Assessment:
increments, line plot, attribute, cubic unit, volume, solid figure, unit cube, prism,
Length, width, base, height, formula, additive, non-overlapping
#1 conversions between units within a given measurement system
#2 Make a line plot to display a data set of measurements in fractions
of a unit and use this information to solve a real world problem.
#3 Determine the volume of rectangular prisms
Guiding questions:
How do we measure volume?
How can you calculate volume of a right rectangular prism?
Formative:
We will be using a skills checklist as we progress through the lessons
of this unit.
Lesson
Math
Concept
Standard
Skills
Problems to
Pose
Anticipated
Errors
1
Units of measure
of the standard and
metric systems
5.MD.1
Using the units of
measure correctly
Using appropriate unit
What is best unit of
measure to measure a
pencil vs. the distance to
the moon?
Choosing the correct unit
depending on what is
being measured.
Metric vs. standard
measurements
Vocabulary errors
2
Converting units of the
standard and metric
system
5.MD.1
Converting between
units within a given
measurement system .
Using place value and
ratios, division, and
multiplication to convert
5m=?cm
Using the correct
operation
Understanding the ratio
between the units
Calculation errors
3
Line plots
5.MD.2
Creating a line plot using
fractional data
Labeling and placing data
correctly on a line plot
Given data sets, plot on a
line plot
Fractional number lines
Placement of data on line
plot
Using a key
4
Line plots for the real
world
5.MD.2
Using the line plot data
to problem solve real
world situations.
Given different
measurements of liquids
in identical beakers, find
the amount of liquid
each beaker would
contain if the total
amount in all beakers
was redistributed equally
Misinterpreting the data
and incorrectly
manipulating the data for
the given situation
5
Volume
5.MD.3.A
5.MD.3.B
5.MD.4
Understanding what the
unit cube is and what
cubic units are
Counting by individual
units, find the volume
Not counting correctly
for a given shape
Using unit cube
manipulatives to find the
volume
6
Volume
5.MD.5
Relating volume to the
formula. Using the
formula to calculate
volume.
Given rectangular prisms,
calculate the volume.
(more lessons
recognizing volume as
additive
Using the formula
correctly, calculation
errors, miscounting for
additive situations