Topic 2 – Add and Subtract Decimals to Hundredths

2015-2016 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
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 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?
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 Associative Property
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
of Addition
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 Commutative
unit planning.
introduced in the context of solving a real problem in which
Property of Addition
ideas related to the new content are embedded. Conceptual
 compatible numbers
Topic 2: Add and Subtract Decimals to Hundredths
understanding results because the process of solving a problem
 compensation
Lesson 2-1: Mental Math
requires students to connect their prior knowledge with the new
Lesson 2-2: Estimate Sums and Differences
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Lesson 2-3: Use Models to Add and Subtract Decimals
Lesson 2-4: Add Decimals (combine with Lesson 2-5)
Each lesson in the book begins with a Solve and Share. See the
Lesson 2-5: Subtract Decimals (combine with Lesson 2-4)
links below for additional tasks to be used as needed:
Lesson 2-6: Add and Subtract Decimals
Lesson 2-7: Math Practices and Problem Solving: Model with
Math Formative Assessment System (MFAS) Tasks by Standard
Math
Illustrative Mathematics Tasks by Standard
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.1.4 (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.
*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.
 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.
Additional Resources & Links
Higher Order Questions & Writing Connections
Link to Webb’s DOK Guide
Georgia Units
*Higher order questions should be utilized to foster a deep, conceptual
Unit 2: Adding and Subtracting with Decimals
understanding of the topic. Encouraging students to express their
 Ten is the Winner
mathematical thinking in writing helps them solidify their learning.
 It All Adds Up
 Check This
 Why is place value important when adding and subtracting whole
numbers and decimals?
EngageNY - Module 1
 How can you use your understanding of adding and subtracting
Topic D: Lessons 9-10
whole numbers to add and subtract decimals?
 Why is it important to be able to estimate decimal value?
www.PearsonRealize.com:
 How can mental math help me in solving decimal addition and
Home School Connection
subtraction problems?
Reteach to Build Understand Pages
 How can I solve decimal addition and subtraction problems using
Professional Development Videos
models?
 Write to explain how you used your understanding of place value to
Marzano Proficiency Scales Bank
solve the problem.
 Identify the error made in the given solution strategy. Write to
Math Formative Assessment System (MFAS) Tasks by Standard
explain what error was made and how to correct the error.
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 2-1 through 2-7