2015-2016 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 1 – Understand Place Value
Flexible Time
Line
8 days
Topic Overview
Topic 1 focuses on deepening the understanding of place value in both whole numbers and decimals. Students will need to understand and be able to apply
knowledge on the following topics: exponents and powers of 10, place-value relationships, using place value to read and write whole numbers and decimals,
and comparing and rounding decimals.
Vertical Progression
4 Grade: Students will understand whole number and decimal place value.
th
6th Grade: Students will write and evaluate exponents and use whole number and decimal computations.
Learning Goal
Essential Question
The student will be able to write, compare, and order whole numbers and
How are whole numbers and decimals written, compared, and ordered?
decimals.
Topic 1 Scale
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 base
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
 exponent
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 expanded form
unit planning.
introduced in the context of solving a real problem in which
 equivalent decimals
ideas related to the new content are embedded. Conceptual
 power
Topic 1: Understand Place Value
understanding results because the process of solving a problem
 thousandth
Lesson 1-1: Patterns with Exponents and Powers of 10
requires students to connect their prior knowledge with the new  value
Lesson 1-2: Understand Whole Number Place Value
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Lesson 1-3: Decimals to Thousandths
Lesson 1-4: Understand Decimal Place Value
Each lesson in the book begins with a Solve and Share. See the
Lesson 1-5: Compare Decimals (can be combined with Lesson links below for additional tasks to be used as needed:
1-6 to save time)
Lesson 1-6: Round Decimals (can be combined with Lesson
Math Formative Assessment System (MFAS) Tasks by Standard
1-5 to save time)
Illustrative Mathematics Tasks by Standard
*Lesson 1-7 does not correlate with the Math Florida
Standards. It may be addressed if there is time or as an
extension for early finishers.
Step 2: “Visual Learning Bridge”
Enhance student learning by connecting student thinking and
solutions from the Solve and Share to the new ideas of the
lesson through the use of the worked-out problem in the
textbook.
Deconstructed Standards
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.
*Focus for this unit within the standard below is on the bolded parts of the deconstruction.
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. (addressed in Topic 4)
 Represent powers of 10 using whole number exponents.
MAFS.5.NBT.1.3 (DOK 2) Read, write, and compare decimals to thousandths.
 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).
 Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
 Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
 Use >, =, and < symbols to record the results of comparisons between decimals.
 Use knowledge of base ten and place value to round decimals to any place.
 Compare two decimals to the thousandths, based on the place value of each digit.
MAFS.5.NBT.1.4 (DOK 1) Use place value understanding to round decimals to any place.
 Use knowledge of base ten and place value to round decimals to any place.
Math Practice Standard(s)
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.
Additional Resources & Links
Higher Order Questions & Writing Connections
Georgia Units
Link to Webb’s DOK Guide
Unit 2 – Adding and Subtracting with Decimals
*Higher order questions should be utilized to foster a deep, conceptual
 *NOTE: all of Georgia Unit 2 pertains to this Topic.
understanding of the topic. Encouraging students to express their
Unit 3 – Multiply and Divide with Decimals
mathematical thinking in writing helps them solidify their learning.
 Power-ful Exponents
 What Comes Next?
 How can you represent a quantity as a multiple of ten?
 Patterns-R-Us
 How can you determine which number is greater than the other?
 How can we use models to demonstrate decimal values?
EngageNY - Module 1
Topics A, B, and C
EngageNY Math Studio Talk: Common Core Instruction for 5.NBT
This video addresses strategies for understanding the place value system.
(Beginning of video – 10:50)
* YouTube must already be opened on your browser before clicking the link.
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How is place value different from digit value?
How does the position of a number determine its value?
Why would you round a decimal?
Explain how understanding place value helps you round numbers,
including decimal numbers?
How does using exponents show place value?
www.PearsonRealize.com:
Home School Connection
Reteach to Build Understand Pages
Professional Development Videos
Marzano Proficiency Scales Bank
Math Formative Assessment System (MFAS) Tasks by Standard
CPALMS - MFAS includes tasks and rubrics that the teacher can implement with
their students.
Illustrative Mathematics Tasks by Standard
The site illustrates standards with impeccably crafted tasks, videos, lesson plans,
and curriculum modules.
Common Core Flip Books: Provides additional information and sample problems
for every standard
FSA Test Item Specifications
Spiral Review
*Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and
procedures.
www.pearsonrealize.com
Daily Review 1-1 through 1-7