2017-2018 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 2 – Add and Subtract Decimals to Hundredths
Flexible Time
Line
8 days
Topic Overview
Topic 2 focuses on deep understanding of decimal addition and subtraction to the hundredths place. The students will use visual models and strategies,
including the standard algorithms.
Vertical Progression
Coherence Map
th
4 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 expression including decimals and exponents and fluently complete operations with both whole-numbers and
decimals.
Learning Goal
Essential Question
Students will be able to estimate decimal sums and differences, as well as add and How can sums and differences of decimals be estimated?
subtract decimals through the use of various strategies.
What are the standard procedures for adding and subtracting decimals?
Topic 2 Scale
How can sums and differences be found mentally?
Deconstructed Standards
MAFS.5.NBT.1.4 (DOK 1) Use place value understanding to round decimals to any place. [Conceptual Understanding]
• Use knowledge of base ten and place value to round decimals to any place.
*Focus on addition and subtraction 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.
[Conceptual Understanding]
• 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. (multiplication and division will be addressed in Topic 4 and 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.7.1 Look for and make use of structure.
Suggested Learning Progression
The following learning progression provides students with an opportunity
to construct meaning and create connections through the CRA Method:
Concrete – Representational – Abstract.
*Collaborative teams should be selective in choosing standards-aligned
tasks for instruction and assessment. Teams may adjust the sequence and
use additional resources based on the needs of their students.
Topic 2: Add and Subtract Decimals to Hundredths
Sample Thinking Map: Strategies to Add and Subtract Decimals
Teachers may use this map for professional development or as a teaching
tool. Teachers may build this map with their students as they learn the
strategies throughout the topic. Teachers should be selective in choosing
strategies that they feel will benefit their students’ understanding of the
standard.
Lesson 2-1: Mental Math (NBT.2.7)
• Teaching Tools Decimal Place Value Chart pg 6
Lesson 2-2: Estimate Sums and Differences (NBT.2.7 & NBT.1.4)
• Additional Resource: i-Ready Lesson (Number & Operations): Round
Decimals
Lesson 2-3: Use Models to Add and Subtract Decimals (NBT.2.7)
• Teaching Tools Decimal Grids pg. 8, Place-Value Blocks pg 4, &
Centimeter Grid Paper pg. 9
Lesson 2-4: Add Decimals (combine with Lesson 2-5) (NBT.2.7)
• Additional Resources:
• Teaching Tools Decimal Grids pg. 8
• Georgia Units Unit 3 Ten is the Winner & It All Adds Up
• EngageNY - Module 1 Topic D: Lesson 9
Lesson 2-5: Subtract Decimals (combine with Lesson 2-4) (NBT.2.7)
• Additional Resource: EngageNY - Module 1 Topic D: Lesson 10
Lesson 2-6: Add and Subtract Decimals (NBT.2.7)
• Additional Resources:
o Teaching Tools Decimal Grids pg. 8
Recommended Instructional Sequence
This instructional sequence is intended to provide a framework for student
learning. Various options are listed below each step in the sequence.
Collaborative teams may adjust the sequence as necessary to meet the needs of
their students.
Step 1: 5-Minute Spiral Review
• Pearson Daily Review
• Common Misunderstandings or Errors
Step 2: Problem-Based Learning
• Solve and Share
•
Math Formative Assessment System (MFAS) Tasks by Standard
• Illustrative Mathematics Tasks by Standard
Step 3: Focus Lesson & Opportunities for Practice
• Visual Learning Bridge
• Guided Practice
• Thinking Map/Graphic Organizer
• Collaborative work
• Interactive Notebook
• Independent Practice
• Whole Group i-Ready Lesson
• Task Oriented Instruction
(additional opportunities for PBL)
Step 4: Differentiated Instruction
• Small group instruction
• Guided Practice
• Centers/stations (including i-Ready) • Intervention/Enrichment
Step 5: Student Debrief
• Thinking Map/Graphic Organizer
• Reflection
o So what? What did you
• Exit Ticket
learn?
• Interactive Notebook
o So why? Why is it
important?
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.
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Why is place value important when adding and subtracting whole numbers
and decimals?
How can you use your understanding of adding and subtracting whole
numbers to add and subtract decimals?
Why is it important to be able to estimate decimal value?
How can mental math help me in solving decimal addition and subtraction
problems?
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o
i-Ready Lesson (Number & Operations): Add and Subtract
Decimals
Georgia Units Unit 3 Check This
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How can I solve decimal addition and subtraction problems using models?
Write to explain how you used your understanding of place value to solve
the problem.
Identify the error made in the given solution strategy. Write to explain
what error was made and how to correct the error.
•
Lesson 2-7: Math Practices and Problem Solving: Model with Math
(NBT.2.7)
• Additional Resource: i-Ready Lesson (Number & Operations):
Adding and Subtracting Decimals with Money
Professional Development
Resources
EngageNY Math Studio Talk: Common Core Instruction for Pearson enVisionMath2.0
5.NBT
Home-School Connection Page
Reteaching Pages
This video addresses strategies for understanding the
Daily Review
place value system. (14:32-20:30)
* YouTube must already be opened on your browser
Florida Interim Assessment Item Bank and Test Platform
before clicking the link.
Math Formative Assessment System (MFAS) Tasks by Standard
Marzano Proficiency Scales Bank
CPALMS - MFAS includes tasks and rubrics that the teacher can
Common Core Flip Books: Provides additional information implement with their students.
and sample problems for every standard
FSA Test Item Specifications
Illustrative Mathematics Tasks by Standard
The site illustrates standards with impeccably crafted tasks, videos,
lesson plans, and curriculum modules.
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Essential Vocabulary
Associative Property
of Addition
Commutative
Property of Addition
compatible numbers
compensation