2015-2016 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 7 – Use Equivalent Fractions to Add and Subtract Fractions
Flexible Time
Line
13 days
Unit Overview
Topic 7 focuses on deep understanding of using equivalent fractions to add and subtract fractions and mixed numbers. The use of fraction tiles and fraction
kits will help students develop a concrete understanding for operations with fractions.
Vertical Progression
4th Grade: The students find factors and multiplies of given numbers and find equivalent fractions. The students add and subtract fractions and mixed
numbers with like denominators.
6th Grade: The students will be able to evaluate expressions and solve equations that involve fractions and mixed numbers.
Learning Goal
Essential Question
The students will be able to estimate fraction sums and differences along with
How can sums and differences of fractions and mixed numbers be
adding and subtracting fractions and mixed numbers.
estimated?
What are standard procedures for adding and subtracting fractions and
Topic 7 Scale
mixed numbers?
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 benchmark fraction
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
 common
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
denominator
unit planning.
introduced in the context of solving a real problem in which
 equivalent fractions
ideas related to the new content are embedded. Conceptual
 mixed numbers
Topic 7: Use Equivalent Fractions to Add and Subtract Fractions
understanding results because the process of solving a problem
Lesson 7-1: Estimate Sums and Differences of Fractions
requires students to connect their prior knowledge with the new
Lesson 7-2: Find Common Denominators
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Lesson 7-3: Add Fractions with Unlike Denominators*
Lesson 7-4: Subtract Fractions with Unlike Denominators*
Lesson 7-5: Add and Subtract Fractions
Lesson 7-6: Estimate Sums and Differences of Mixed Numbers
Lesson 7-7: Use Models to Add Mixed Numbers*
Lesson 7-8: Add Mixed Numbers*
Lesson 7-9: Use Models to Subtract Mixed Numbers*
Lesson 7-10: Subtract Mixed Numbers*
Lesson 7-11: Add and Subtract Mixed Numbers
Lesson 7-12: Math Practices and Problem Solving: Model with Math
*May combine (to save time):
Lessons 7-3 and 7-4
Lessons 7-7 and 7-8
Lessons 7-9 and 7-10
Each lesson in the book begins with a Solve and Share. See the
links below for additional tasks to be used as needed:
Math Formative Assessment System (MFAS) Tasks by Standard
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.NF.1.1 (DOK 2) Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions
in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general,
a/b + c/d = (ad + bc)/bd.)
 Generate equivalent fractions to find the like denominator.
 Solve addition and subtraction problems involving fractions (including mixed numbers) with like and unlike denominators using an equivalent fraction
strategy.
MAFS.5.NF.1.2 (DOK 2) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike
denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to
estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
 Generate equivalent fractions to find like denominators.
 Evaluate the reasonableness of an answer, using fractional number sense, by comparing it to a benchmark fraction.
 Solve word problems, involving addition and subtraction of fractions with unlike denominators referring to the same whole.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.3.1 Construct viable arguments and critique the reasoning of others.
MAFS.K12.MP.4.1 Model with mathematics.
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 4 – Adding, Subtracting, Multiplying, and Dividing Fractions
understanding of the topic. Encouraging students to express their
Equal to One Whole, More, or Less?
mathematical thinking in writing helps them solidify their learning.
Flip It Over
Create Three
 How was that strategy similar/different than…?
*NOTE: much of Georgia Unit 4 pertains to this Topic.
 How are equivalent fractions helpful when solving problems?
 Why is it important to know how close a fraction is to one whole?
EngageNY - Module 3
 How can addition/subtraction of fractions be represented by
Topic C: Lessons 8-12
objects, pictures, words, numbers, and models?
 Explain and justify your model.
EngageNY Math Studio Talk: Common Core Instruction for 5.NF
 How can benchmark fractions help you estimate?
This video segment focuses on strategies for performing operations with fractions.
(Beginning of video – 7:50)
* 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
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 7-1 through 7-12