Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
STAGE 1 – DESIRED RESULTS
ESTABLISHED GOALS
Idaho Core Major (m) Standards :
● 5.NBT Understanding the place value
system.
● 5.NBT Perform operations with
multi-digit whole numbers and with
decimals to hundredths.
●
Idaho Core Supporting / Additional (s/a) Standards:
● 5.NF Apply and extend previous understandings
of multiplication and division to multiply and
divide fractions.
Idaho Core Bridging Standards Cluster Heading
and/or Standard from Previous Grade(s)# from
above:
● 4.NBT.A.1-3 Generalize place value understanding
for multi-digit whole numbers.
● 4.NBT.B.4-6 Use place value understanding and
properties of operations to perform multi-digit
arithmetic.
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 ​
multiplication with​
whole numbers, decimals​
​
, and ​
place value​
.
Structure of Math / Overarching Understanding(s):
Students will understand…
●
●
●
●
How to read, write, and compare decimals to thousandths.
How to perform operations with multi-digit whole numbers and
with decimals to hundredths including the application of order of
operation. (including double digit divisors)
The pattern created when a number is multiplied by a power of
10.
Rounded numbers are approximate and not exact.
MEANING
Essential Questions:
Students will keep considering…
1. What is the relationship between whole numbers and decimal numbers?
2. How can we decide what operation to use when presented with a
problem?
3. How are different models used to multiply decimals?
4. What would happen if we didn’t use a base ten system?
5. When is it appropriate to round a number and how do you determine to
which place you should round?
1
Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
ACQUISITION OF KNOWLEDGE AND SKILL
STUDENT-FRIENDLY LEARNING TARGET STATEMENTS
Learning Targets
5.NBT.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.
5.NBT.5. ​
Fluently multiply multi-digit whole numbers using the standard
algorithm.
5.NBT.7. ​
Add, subtract, multiply, and divide decimals to hundredths, using
concrete models or drawings (8+7) 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.
Mathematical Practices (Refer to page 293H, 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 hers.
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 statement...
○ I can represent multiplying decimals with money and drawings.
○ I can use strategies based on place value and properties to multiply
decimal numbers.
○ I can write equations to represent multiplication situations.
Essential Vocabulary
○ Algorithm
○ Commutative Property
○ Distributive Property
○ Associative Property
○ Identity Property
○ Zero Property
○ Power of Ten
○ Exponent
○ Exponential Form
○ Tenths
○ Hundredths
○ Thousandths
○ Partial Products
○ Rounding
○ Expression
2
Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
○ Base
○ Shift
STAGE 2 - EVIDENCE
ASSESSMENT EVIDENCE
Other Evidence
http://www.sde.idaho.gov/site
/assessment/claims.htm
Claim #1
12 – (0.4 x 2)
(2 x 3) x (1.5 - .5)
Claim #2
Mrs. Phelps bought 4 boxes of crayons at the store to share with her students. Each box contained a total of 64 crayons.
What is the total number of crayons Mrs. Phelps bought at the store? Explain your answer using diagrams, pictures,
mathematical expressions and/or words.
Answer: 256. I multiplied 4 by 64 and got 256 because there were 64 crayons in 4 boxes.
A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the
party, and the customer has a coupon for $100 off the total? Write a numerical expression and solve. (50 + 20) x 35 –
100 = $2,350
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
Claim #3
Performance Tasks
(G.R.A.S.P.S.)
Goal
Role
Audience
Situation
Product/Performance
Standards
How Much Does it Cost? (Assessment Guide)
Your task is to create travel plans for groups of various sizes.
Travel Agent.
Traveling Tour Groups.
Comparing tour costs.
You need to find total cost of multiple tours and price options.
(See performance in assessment guide)
4
Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
STAGE 3 – LEARNING PLAN
Suggested Learning Plan
Exploring and Making Connections
(Conceptual Understanding)
Focus Task (to begin unit)​
:
•
Five children divide 25 dollars equally and
then each one buys ice cream for $2.05.
Find the exact amount that each child has
left now.
Practice
(Procedural Fluency)
Math Expressions (2013​
)
Unit 4- Lessons 1-12
●
Assessments
(Application)
See Assessment Evidence above.
Georgia Department of Education
Unit 2 Decimals ​
(​
See Unit 4 resource folder)
iPad Apps
iPad app – Motion Math Zoom (number line
activities to master place value)
iPad app – ITooch Math Grade 5
iPad app – Splash Math 5th
​​Grade
iPad app – Virtual Manipulatives
Internet Resources
http://studyjams.scholastic.com/studyjams/jams/m
ath/index.htm
www.thinkthroughmath.com
www.sumdog.com
www.ixl.com
www.frontrowed.com
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Pocatello/Chubbuck School District #25 MATHEMATICS th​
Subject/Grade: Math 5​
Grade Unit Name: G5 Math Unit 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
Materials/Resources
Math Expressions
Big Idea 1- Multiplication with Whole Numbers
Lesson 1: Shift Patterns in Multiplication
Lesson 2: Patterns with Fives and Zeros
Lesson 3: Sharing Methods for Multiplication
Lesson 4: Multiply Two-Digit Numbers
Lesson 5: Practice Multiplication
Big Idea 2- Multiplication with Decimal Numbers
Lesson 6: Multiply Decimals by Whole Numbers
Lesson 7: Multiply by Decimals
Lesson 8: Multiply with Decimals Greater Than 1
Lesson 9: Compare Shift Patterns
Lesson 10: Estimate Products
Lesson 11: Multiplication Practice
Lesson 12: 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 4: Multiplication w/Whole Numbers & Decimals Pacing: ≈ 4 weeks (1/15​
)
Learning Plan
Focus
Learning Goal(s):
Multiply whole numbers by powers of ten with
and without exponents.
Coherence/Rigor
Task/Activity/Resource:
Unit 4
Lesson 1: Shift Patterns in Multiplication
Lesson 2: Patterns with Fives and Zeros
Multiply multi digit whole numbers fluently.
Lesson 3: Sharing Methods for Multiplication
Lesson 4: Multiply Two-Digit Numbers
Lesson 5: Practice Multiplication
Quick Quiz #1
Multiply decimal numbers.
Lesson 6:
Lesson 7:
Lesson 8:
Lesson 9:
Lesson 10:
Lesson 11:
Lesson 12:
Quick Quiz#2
Test Form A - Open Response
Test Form B - Multiple Choice
Performance Task - How Much Does
It Cost? (Assessment Guide)
Multiply Decimals by Whole Numbers
Multiply by Decimals
Multiply with Decimals Greater Than 1
Compare Shift Patterns
Estimate Products
Multiplication Practice
Focus on Mathematical Practices
Evidence (Success Criteria):
7