2015-2016 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 4 – Use Models and Strategies to Multiply Decimals
Flexible Time
Line
11 days
Topic Overview
Topic 4 focuses on a deep understanding of decimal multiplication. Students use models and other strategies, including the standard multiplication algorithm,
to fluently multiply decimals.
Vertical Progression
4th Grade: The students will be able to perform whole-numbers operations, multiply fractions, and write fractions in decimal notation.
6th Grade: The students will be able to evaluate expressions including decimals and exponents and fluently complete operations with both whole-numbers
and decimals.
Learning Goal
Essential Question
Students will be able to estimate and find the product of decimal multiplication
What are the standard procedures for estimating and finding products
problems.
involving decimals?
Topic 4 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”
 Commutative
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
Property of
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
Multiplication
unit planning.
introduced in the context of solving a real problem in which
 Associative Property
ideas related to the new content are embedded. Conceptual
of Multiplication
Topic 4: Use Models and Strategies to Multiply Decimals
understanding results because the process of solving a problem
 partial products
Lesson 4-1: Multiply Decimals by Powers of 10
requires students to connect their prior knowledge with the new
Lesson 4-2: Estimate the Product of a Decimal and a Whole
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Number
Lesson 4-3: Use Models to Multiply a Decimal and a Whole
Each lesson in the book begins with a Solve and Share. See the
Number
links below for additional tasks to be used as needed:
Lesson 4-4: Multiply a Decimal by a Whole Number
Lesson 4-5: Use Models to Multiply a Decimal and a Decimal
Math Formative Assessment System (MFAS) Tasks by Standard
Lesson 4-6: Multiply Decimals Using Partial Products
Illustrative Mathematics Tasks by Standard
Lesson 4-7: Use Properties to Multiply Decimals
Lesson 4-8: Use Number Sense to Multiply Decimals
Step 2: “Visual Learning Bridge”
Lesson 4-9: Multiply Decimals
Enhance student learning by connecting student thinking and
Lesson 4-10: Math Practices and Problem Solving: Model with solutions from the Solve and Share to the new ideas of the
Math
lesson through the use of the worked-out problem in the
textbook.
Deconstructed Standards
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.
*Focus on multiplication in this unit for standard below
MAFS.5.NBT.2.7 (DOK 2) 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 addition and subtraction; relate the strategy to a written method and explain the reasoning used.
 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 addition and subtraction. (Addition and Subtraction addressed in Topic 2, Division addressed in Topic 6).
 Relate the strategy to a written method and explain the reasoning used to solve decimal operation calculations.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.4.1 Model with mathematics.
MAFS.K12.MP.5.1 Use appropriate tools strategically.
Additional Resources & Links
Higher Order Questions & Writing Connections
Link to Webb’s DOK Guide
*Higher order questions should be utilized to foster a deep, conceptual
understanding of the topic. Encouraging students to express their
mathematical thinking in writing helps them solidify their learning.
Georgia Units
Unit 3 – Multiply and Divide with Decimals
 How Much Money?
EngageNY – Module 1
Topic E: Lessons 11-12
EngageNY Math Studio Talk: Common Core Instruction for 5.NBT
This video segment focuses on strategies for performing operations with decimals.
(14:30 – end of video)
* YouTube must already be opened on your browser before clicking the link.
www.PearsonRealize.com:
Home School Connection
Reteach to Build Understand Pages
Professional Development Videos
Marzano Proficiency Scales Bank
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How can we use models to multiply decimals?
How can we check for errors in multiplication of decimals?
How do you know if a number will increase or decrease when you
multiply?
How can we explain the patterns of the number of zeros of the
product when multiplying by powers of 10?
How can exponents be used to represent powers of 10?
Write to explain the strategy you used and justify your mathematical
moves.
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 4-1 through 4-10