Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) Idaho Core Major (m) Standard :
● 5.NF.1-2 Use equivalent fractions as a
strategy to add and subtract fractions.
STAGE 1 – DESIRED RESULTS
ESTABLISHED GOALS
Idaho Core Supporting / Additional (s/a)
Standards:
● 5.MD.2 Represent and interpret data.
Idaho Core Bridging Standards Cluster Heading
and/or Standard from Previous Grade(s):
● 4.NF.1-2 Extend understanding of fraction
equivalence and ordering.
● 4.NF.3 Build fractions from unit fractions
by applying and extending previous
understandings of operations and whole
numbers.
TRANSFER
Students will be able to independently use their learning to make sense of, persevere in, and efficiently solve a range of complex, well-posed problems
related to adding and subtracting fractions.
MEANING
Structure of Math / Overarching Understanding(s):
Essential Questions:
Students will understand that…
Students will keep considering…
● Fractions are numbers.
● How does equivalence help us solve problems?
● The operations of addition and subtraction apply to fractions as they do to ● How can I use benchmarks to estimate sums and differences
whole numbers.
of fractions?
● When is it important to get an exact answer, or when is an
estimate enough?
● How does adding and subtracting fractions compare to adding
and subtracting whole numbers?
● What strategies can be used when adding and subtracting
fractions (including mixed numbers) with unlike
denominators?
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) ACQUISITION OF KNOWLEDGE AND SKILL
STUDENT-FRIENDLY LEARNING TARGET STATEMENTS
Learning Targets
5.NF.​
1​
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.)
5.NF.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.
5.MD.2​
Make a line plot to display a data set of measurements in fractions of a
unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve
problems involving information presented in line plots. For example, given
different measurements of liquid in identical beakers, find the amount of
liquid each beaker would contain if the total amount in all the beakers were
redistributed equally.
Mathematical Practices (Refer to page 1J, Volume 1 Math
Expressions)
5.MP.1 Make sense of problems and persevere in solving them.
5.MP.2 Reason abstractly and quantitatively.
5.MP.3 Construct viable arguments and critique the reasoning of
others.
5.MP.4 Model with mathematics.
5.MP.5 Use appropriate tools strategically.
5.MP.6 Attend to precision.
5.MP.7 Look for and make use of structure.
5.MP.8 Look for and express regularity in repeated reasoning.
I can statements...
o I can use number lines to represent equivalent fractions.
o I can express fractions with unlike denominators in terms
of the same unit fraction so they can be added or
subtracted.
o I can use bar models to visualize a sum or difference.
o I can use equations and models to solve real world
problems.
o I can use estimation to determine whether answers are
reasonable.
Essential Vocabulary
●
●
●
●
Equivalent Fractions
Mixed Number
Common Denominator
Benchmark Fractions
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) ●
●
Line Plot
Convert
STAGE 2 - EVIDENCE
ASSESSMENT EVIDENCE
Other Evidence
http://www.sde.idaho.
gov/site/assessment/cl
aims.htm
Claim #1
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) •
•
3/4 + 5/6=? 5/6 – 3/4=?
When adding the fractions 5/6 and 3/4, what are 3 possible common denominators?
Claim #2
● Laura, Kylie, and Zoe ran in a race. Laura ran 3/4 of a mile and stopped. Kylie ran 1/8 of a mile and stopped. Zoe
ran 1/2 of a mile and stopped. Graph the combined distance Kylie and Zoe ran. Graph the distance Laura ran.
Compare the graphed distances. Which is greater? What is the difference between the two distances?
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) Claim #3
Jose and Mark are eating pizza. Jose ate 1/4 of a cheese pizza, 3/8 of a pepperoni pizza, and 1/2 of a mushroom pizza.
Mark ate 5/8 of a cheese pizza and the other 1/2 of the mushroom pizza. Jose says he ate more pizza than Mark because
Mark did not eat any pepperoni pizza. Mark says they ate the same amount of pizza. Who is correct? Show all of your
mathematical thinking.
o Proficient answers could possibly include assumptions that the pizzas were not the same size.
Performance Task
(G.R.A.S.P.S.)
Goal
Role
Audience
Situation
Product/Performance
Standards
Planning a Hiking Trip (Assessment Guide)
Your task is to plan three hikes with a total distance between 8 and 15 miles.
You’re a member of the hiking club.
Hiking club members
The challenge involves multiple combination of hikes that meet the distance requirements.
You will estimate three possible combinations of hikes.
(see performance rubric in assessment guide)
SUGGESTED LEARNING PLAN
Exploring and Making Connections
(Conceptual Understanding)
Focus Task:
● See resource folder Unit 1 in the
O:Drive for fraction activities.
Practice
(Procedural Fluency)
Assessments
(Application)
Math Expressions (2013)
See Assessment Evidence above.
Unit 1- Lessons 1-13
Georgia Department of Education
Unit 4 Adding, Subtracting, Multiplying, and
Dividing Fractions​
(​
See resource folder Unit 1​
)
Fraction Activities
Cuisenaire Equivalent Fractions (See resource
folder Unit 1)
Fraction Activities (See resource folder Unit 1)
Ipad Apps
Motion Math Fractions
Virtual Manipulatives
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) th​
iTooch 5​
Grade Math
Coop Fractions
Pizza Fractions
Fraction Basics (video tutorials)
Thinking Blocks
Number Pieces
Internet Resources
http://studyjams.scholastic.com/studyjams/ja
ms/math/index.htm
www.ixl.com
www.thinkthroughmath.com
Materials/Resources
Math Expressions
Big Idea 1- Equivalent Fractions
Lesson 1: Introduce the Mathboard
Lesson 2: Explain Equivalent Fractions
Lesson 3: Equivalent Fractions and Multipliers
Lesson 4: Strategies for Comparing Fractions
Lesson 5: Fractions Greater than One
Big Idea 2- Addition and Subtraction of Fractions
Lesson 6: Add and Subtract Like Mixed Numbers
Lesson 7: Add Unlike Fractions
Lesson 8: Subtract Unlike Fractions
Lesson 9: Solve with Unlike Mixed Numbers
Lesson 10: Practice with Unlike Mixed Numbers
Lesson 11: Reasonable Answers
Lesson 12: Real World Problems
Lesson 13: Focus on Mathematical Practices
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) LEARNING PLAN
Focus
Learning Goal
Understand that equivalent fractions can be created
by multiplying and dividing numerators and
denominators of given fractions by the same number.
Understand fractions can be compared using a variety
of strategies, including by rewriting them with a
common denominator.
Understand how to add and subtract fractions and
mixed numbers with like and unlike denominators.
Understand how to make reasonable estimates of
sums and differences of fractions and mixed numbers.
Understand how to solve real world problems
involving fractions and mixed numbers.
Coherence/Rigor
Task/Activity/Resource
Evidence (Success Criteria):
Unit 1 Lesson 1:
Lesson 2:
Lesson 3:
Lesson 4:
Lesson 5:
Introduce the Mathboard
Explain Equivalent Fractions
Equivalent Fractions and Multipliers Strategies for Comparing Fractions
Fractions Greater than One
Lesson 6:
Numbers
Lesson 7:
Lesson 8:
Lesson 9:
Lesson 10:
Lesson 11:
Add and Subtract Like Mixed
Quick Quiz #1
Adjusting a Recipe Task (​
See Unit 1 Resource
Folder​
)
Fractions on a Line Plot Task (​
See Unit 1
Resource Folder)
Add Unlike Fractions
Subtract Unlike Fractions
Solve with Unlike Mixed Numbers
Practice with Unlike Mixed Numbers
Reasonable Answers
Lesson 12: Real World Problems
Lesson 13: Focus on Mathematical Practices
Quick Quiz #2
Test Form A - Open Response
Test Form B - Multiple Choice
Cindy’s Cats Task​
(See Unit 1 Resource Folder)
Performance Task - Planning a Hiking Trip
(Assessment Guide)
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 1: Addition and Subtraction with Fraction Pacing: ≈ 4 Weeks (9/25) 8