Unit 3

2014-2015 Curriculum Blueprint
Grade: 5
Course: Math
Approximate Time:
10 days
Unit 3: Expanding Understanding of Place Value Decimals
Learning Goal
Students will extend their understanding of the concepts and patterns in the base ten number
system of place value to include decimal values to thousandths and powers of ten.
Link to Decimal Concepts Learning Scale (remove rounding under 3.0)
Unit Overview
Students expand their previous understanding of place value to include decimal numbers. Grade 5 is the last
grade in which the NBT domain appears. Later work in the base-ten system relies on the meanings and
properties of operations. This also contributes to deepening understanding of computation and algorithms in
the new domains that start in Grade 6.
Essential Question(s)
How can understanding place value help you solve problems involving decimals?
How can you represent the relationship between adjacent base ten units from millions to
thousandths?
Focus Standards
Bullets are the deconstructed standards These should be used to develop concise learning
statements/daily objectives/scales. Grade 5 Test Item Specifications
Vertical Progression
http://www.turnonccmath.net/ K-8 Learning Trajectories (This could be used to determine remediation needs
or enrichment opportunities)
MAFS.5.NBT.1.1 (DOK 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.

Recognize that in a multi-digit number, a digit in the 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.
4th grade

Students recognize that multi-digit whole numbers a digit in one place represents ten times what it
represents to its right.

Students compare decimals through hundredths.
MAFS.5.NBT.1.2 (DOK 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.

Translate between powers of 10 written as 10 raised to a whole number exponent, in
expanded form, and standard notation.

Explain the patterns in the number of zeros of the product when multiplying a
number by powers of 10.

Explain the relationship of the placement of the decimal point when a decimal is
multiplied or divided by a power of 10.

Represent powers of 10 using whole number exponents.
MAFS.5.NBT.1.3.a (DOK 2) 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).

Read and write decimals to thousandths using base-ten numerals, number names,
and expanded form.
6th grade

Students understand that positive and negative numbers are used together to describe quantities having
opposite directions or values, use positive and negative numbers to represent quantities in real world
situations
Resources
*Be selective in choosing problems aligned to the
standards within each lesson.







Textbook Correlation
4th Grade Go Math Textbook
8.6 Place Value relationships
8.7 Model Thousandths
8.8 Decimals to Thousandths
5th Grade Go Math Textbook
4.1 Introduction to Exponents
Supplemental Resources
These resources may provide students with
experiences aligned to the full intent of the
standards. It is important to access many of these
resources during the planning process.



Essential Vocabulary
Base-ten
 Pattern
numeral
 Place
Compare
 Powers of 10
Decimal
 Thousandth
Decimal point
 Value
Digit
 Whole number
Expanded form
Exponent
Higher Order Questions/Stems
How can you represent a quantity as a multiple of
ten?
Why is that number greater than the other?
How can we use models to demonstrate decimal
values?
Updated 08/18/14 pg. 1
2014-2015 Curriculum Blueprint
Grade: 5
Course: Math
Approximate Time:
10 days
Unit 3: Expanding Understanding of Place Value Decimals
Mathematical Practice Standards
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.6.1 Attend to precision.
MAFS.K12.MP.7.1 Look for and make use of structure.
5th Grade Common Core Flip Book Provides
additional information and sample problems for
every standard


Engage B NY Module 1 Topic a and b (Place Value
and Decimal Fractions)

Georgia Unit 1 - Patterns R Us
(see Patterns R Us p. 54)

Performance Task - Decimals

Video - Intro to Decimals (log into Safari Montage)
Video - Place Value Decimals (Safari Montage)
Learnzillion - Tutorial on Decimal Place Value
Decimal Place Value - Interactive Game
Illustrative Mathematics Tasks Search for tasks by
standard
Why is place value different from digit value?
How does the position of a number determine its
value?
Writing Connections
Write to explain and justify how you reached your
answer.
Compare and Contrast two numbers according to
their place value.
Write to explain why the position of a number
determines the value.
Writing Template Tasks These template tasks are
designed from the Mathematical Practice Standards.
When filled in, these templates become teaching tasks
that create opportunities for teaching literacy skills in
mathematics.
Link to Problem Solving Rubric
Link to Webb’s DOK Guide
Florida Interim Assessment Item Bank and Test
Platform
Updated 08/18/14 pg. 2