unit cube is chosen to represent a volume unit and used to measure the volume of simple shapes composed out of rectangular prisms.
Solution with units:
8 units = $32
1 unit = $4
5 units = $20
$32
?
1
4
+
3
8
=
2
8
+
3
8
=
5
8
5
8
× 32 = 20
Solution with arithmetic:
Jill gave $20 altogether.

A Story of Units
:
A Curriculum Overview for Grades P-5
Date:
7/31/13
59
© 2013 Common Core, Inc. Some rights reserved.
commoncore.org
A Story of Units
Curriculum Overview
NYS COMMON CORE MATHEMATICS CURRICULUM
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Scaling is revisited in the last module on the coordinate plane.
Since Kindergarten where growth and shrinking patterns were first introduced,
students have been using bar graphs to display data and patterns.
Extensive bar-graph work has set the stage for line plots, which are both the
natural extension of bar graphs and the precursor to linear functions.
It is in this final module of K-5 that a simple line plot of a straight line is
presented on a coordinate plane and students are asked about the scaling relationship between the increase in the units of the vertical axis for 1 unit
of increase in the horizontal axis.
This is the first hint of slope and marks the beginning of the major theme of middle school: ratios and proportions.
Alignment Chart
Module and Approximate
Number of Instructional Days
Common Core Learning Standards Addressed in Grade 5 Modules
80
Module 1:
Place Value and Decimal
Fractions
(20 days)
Understand the place value system.
5.NBT.1
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it
represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NBT.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of
10, and explain patterns in the placement of the decimal point when a decimal is multiplied or
divided by a power of 10. Use whole-number exponents to denote powers of 10.
5.NBT.3
Read, write, and compare decimals to thousandths.
a.
Read and write decimals to thousandths using base-ten numerals, number names, and
expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 ×
(1/1000).
b.
Compare two decimals to thousandths based on meanings of the digits in each place, using
>, =, and < symbols to record the results of comparisons.
5.NBT.4
Use place value understanding to round decimals to any place.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
82
5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings
and strategies based on place value, properties of operations, and/or the relationship between
80
When a cluster is referred to in this chart without a footnote, the cluster is taught in its entirety.
82
The balance of this cluster is addressed in Module X.

A Story of Units
:
A Curriculum Overview for Grades P-5
Date:
7/31/13
60
© 2013 Common Core, Inc. Some rights reserved.
commoncore.org
A Story of Units
Curriculum Overview
NYS COMMON CORE MATHEMATICS CURRICULUM
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.