Grade 5 Mathematics Curriculum Guide
Table of Contents
2015 – 2016
Time Frame: Quarter 1- About 35 Days
Grade 5 • Module 2
Multi-Digit Whole Number and Decimal Fraction Operations
CPSD Stage 1: Learning Goals- Desired Results
CPSD Stage 2: Assessments
Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication
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CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic B: The Standard Algorithm for Multi-Digit Whole Number Multiplication
•
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CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic C: Decimal Multi-Digit Multiplication
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•
CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic D: Measurement Word Problems with Whole Number and Decimal Multiplication
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•
CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic E: Mental Strategies for Multi-Digit Whole Number Division
•
•
CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic F: Partial Quotients and Multi-Digit Whole Number Division
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•
CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic G: Partial Quotients and Multi-Digit Decimal Division
•
•
CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Topic H: Measurement Word Problems with Multi-Digit Division
•
•
CPSD Stage 2: Evidence of Learning
CPSD Stage 3: Instructional Sequence and Additional Resources from 2014-2015 Curriculum Guide
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 1
Grade 5 Mathematics Curriculum Guide
2015 – 2016
CPSD Stage 1
Learning Goals
Stage 1: Desired Results
Transfer Goals
Students will be able to independently use their learning to…
Solve real world problems involving multi-digit whole number and decimal fraction operations
UNDERSTANDINGS
Students will understand …
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Patterns exist in operation with powers of 10
Strategies based on place value, properties of
operations,&/or the relationship between addition
/subtraction can be used to solve real problems
Place value & metric system are both rooted in base-ten
Multiplication as a method for expressing equivalent
measures in both whole number and decimal forms.
Students will know…
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Meaning Goals
ESSENTIAL QUESTIONS
Patterns in the number of zeros of the
product when multiplying a number by
powers of 10
Patterns in the placement of the decimal
point when a decimal is multiplied or
divided by a power of 10.
Place value concepts
Customary and Metric Measurement
Systems
Mental Strategies for Multi-digit whole
number multiplication and division
The standard algorithm for multi-digit
whole number multiplication
Properties of Operations
Order of operations
Moving a digit one place to the right is the
same as dividing it by ten, and moving a
digit one place to the left is the same as
multiplying it by ten
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How/Why does the standard algorithm for
multiplication work?
When do we use estimation and rounding?
What is the connection between the metric system
and place value?
What happens to place value when we get into
decimals?
Acquisition Goals
Students will be skilled at…
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Solving multi-step word problems using multi-digit multiplication
& division
Using place value as guide to reason & make estimations
Using the standard algorithm.
Using whole number exponents to denote powers of 10
Using repeated reasoning to understand & explain patterns in
numbers of zeros &/or placement of decimal point when number
is multiplied/divided by powers of 10
Reading, writing, & comparing two decimals to thousandths using
base-ten numerals, number names, & expanded form
Recording comparisons results using >, =, and <
Rounding decimals to any place.
Multiplying whole #s & finding whole-# quotients of whole #s
w/up to 4-digit dividends and 2-digit divisors
Performing the four operations on decimals to the hundredths.
Using concrete models or drawings and strategies based on place
value, properties of operations, and/or the relationship between
addition /subtraction & relating the strategy to written method &
explain the reasoning used
Writing, evaluating, & interpreting numerical expressions having
any # of non-nested sets of parentheses, brackets, or braces.
Converting like measurements within a system using whole
numbers, fractions (customary) & decimals (metric).
Assessing reasonableness of both products and quotients
Interpreting remainders
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 2
Grade 5 Mathematics Curriculum Guide
2015 – 2016
CPSD Stage 2
Module 2 Assessments
Standards
Module Topics &
Lesson Sequence
Available Assessments
5.NBT.A.1
5.NBT.A.2
Topic A
Mental Strategies for Multi-Digit Whole Number Multiplication
Lessons 1-2
5.OA.A.1
5.OA.A.2
5.NBT.B.5
Topic B
The Standard Algorithm for Multi-Digit Whole Number
5.OA.A.1
Multiplication
Topic C
Decimal Multi-Digit Multiplication
Lessons 10-12
5.NBT.B.5
5.NBT.B.7
5.MD.A.1
Topic D
Measurement Word Problems with Whole Number and
Decimal Multiplication
Lessons 13-15
5.NBT.A.1
5.NBT.A.2
Lessons 3-9 Exit Tickets
Lessons 3-9
5.NBT.B.7
5.OA.A.1
5.OA.A.2
5.NBT.A.1
Lessons 1-2 Exit Tickets
Lessons 10-12 Exit Tickets
Lessons 13-15 Exit Tickets
Mid-Module Assessment
Administer After Topic D
5.NBT.A.1
5.NBT.A.2
5.NBT.B.6
Topic E
Mental Strategies for Multi-Digit Whole Number Division
Lessons 16-18
Lessons 16-18 Exit Tickets
5.NBT.B.6
Topic F
Partial Quotients and Multi-Digit Whole Number Division
Lessons 19-23
Lessons 19-23 Exit Tickets
5.NBT.A.2
5.NBT.B.7
Topic G
Partial Quotients and Multi-Digit Decimal Division
Lessons 24-27
5.NBT.B.6
5.NBT.B.7
Topic H
Measurement Word Problems with Multi-Digit Division
Lessons 28-29
Lessons 24-27 Exit Tickets
Cluster Assessment NBT.A
Understand Place Value System
Lessons 28-29 Exit Tickets
All Standards
End Of Module Assessment
Administer after Topic H
Cluster Assessments available on the P:Drive
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 3
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication
CPSD Stage 2: Evidence of Learning
Topic A: Stage 2 – Evidence of Learning
Evaluative Criteria/ Assessment Level Descriptors (ALDs): (3-5 Only) Available Assessment Evidence
PERFORMANCE TASK(S):
5.NBT.A Understand the place value system
Module 2: Lesson 1 Exit Ticket
Level 3 students should be able to use whole number exponents
to denote powers of 10; use repeated reasoning to understand
Module 2: Lesson 2 Exit Ticket
and explain patterns in numbers of zeros and/or placement of a
decimal point when a number is multiplied or divided by powers
Module 2: Lesson 3 Exit Ticket
of 10; read, write, and compare two decimals to the
thousandths using base-ten numerals, number names, and
expanded form, using >, =, and < to record the results of the
Module 2: Lesson 4 Exit Ticket
comparison; and round decimals to any place.
5.NBT.A.1
Recognize that in a multi-digit number, a digit in one place
represents 10 times as much as it represents in the place to its
right and 1/10 of what it represents in the place to its left.
5.NBT.A.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.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 4
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic A Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Mental Strategies for Multi-Digit Whole Number Multiplication
Engage NY Lessons
Additional Resources by Lesson
from 2014-2015 Guide
Georgia Department of Education
Unit 1: Order of Operations and Whole Numbers:
Task: Patterns R Us
Objective 1:
Multiply multi-digit whole numbers and
multiples of 10 using place value patterns and the
distributive and associative properties.
(Lesson 1)
NC Lessons For Learning, Building Powers of Ten
Howard County Public Schools
Objective 2:
Estimate multi-digit products by rounding
factors to a basic fact and using place value patterns.
(Lesson 2)
Additional Resources by Standard from 2014-2015 Guide
5.NBT.A.1
5.NBT.A.2
Georgia Department of Education
Unit 2: Decimals
Task: High Roller Revisited
Bridges 5th Grade CCSS Supplement
Set A11: Number & Operations: Multiplying Decimals
Activity 1: Multiplying by Powers of 10
Activity 2 : Dividing by Powers of 10
Howard County Public Schools
CCSS Math Connects: Lesson 6 Multiply Decimals by Powers
of 10, Lesson 8 Divide Decimals by Powers of 10
http://www.mhschool.com/math/2003/student/
User: CCSS Password: Benefit
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 5
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic B: The Standard Algorithm for Multi-Digit Whole Number
Multiplication
CPSD Stage 2: Evidence of Learning
Topic B: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only) Available Assessment Evidence
PERFORMANCE TASK(S):
5.OA.A Write and interpret numerical expressions
Module 2: Lesson 3 Exit Ticket
Level 3 students should be able to write, evaluate, and interpret
numerical expressions having any number of non-nested sets of
Module 2: Lesson 4 Exit Ticket
parentheses, brackets, or braces.
5.OA.A.1 Use parentheses, brackets, or braces in numerical
expressions, and evaluate expressions with these symbols.
5.OA.A.2 Write simple expressions that record calculations with
numbers, and interpret numerical expressions without
evaluating them. For example, express the calculation “add 8 and
7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 +
921) is three times as large as 18932 + 921, without having to
calculate the indicated sum or product.
Module 2: Lesson 5 Exit Ticket
Module 2: Lesson 6 Exit Ticket
Module 2: Lesson 7 Exit Ticket
Module 2: Lesson 8 Exit Ticket
Module 2: Lesson 9 Exit Ticket
5.NBT.B Perform Operations with multi-digit whole numbers
and with decimals to hundredths
Level 3 students should be able to fluently multiply whole
numbers and find whole-number quotients of whole numbers
with up to four-digit dividends and two-digit divisors and
perform the four operations on decimals to the hundredths.
They should be able to relate the strategy to written method and
explain the reasoning used.
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard
algorithm.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 6
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic B: The Standard Algorithm for Multi-Digit Whole Number Multiplication
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic B Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of the Standard Algorithm for Multi-Digit Whole Number Multiplication
Engage NY Lessons
Additional Resources by Standard
from 2014-2015 Guide
Objective 1:
Write and interpret numerical expressions and
compare expressions using a visual model.
(Lesson 3)
Objective 2:
Convert numerical expressions into unit form as a
mental strategy for multi-digit multiplication.
(Lesson 4)
Objective 3:
Connect visual models and the distributive property
to partial products of the standard algorithm without renaming.
(Lesson 5)
Objective 4:
Connect area models and the distributive property to
partial products of the standard algorithm with renaming.
(Lessons 6–7)
Making Sense of Problem Solving F.14
Bridges 5th Grade CCSS Supplement
Unit 7: Set B1: Activity 1 p.B1.1-B1.5
www.commoncoresheets.com
www.commoncoresheets.com
Van de Walle 3-5
Objective 5:
Fluently multiply multi-digit whole numbers using the
standard algorithm and using estimation to check for reasonableness
of the product.
(Lesson 8)
Objective 6:
Fluently multiply multi-digit whole numbers using the
standard algorithm to solve multi-step word problems.
(Lesson 9)
Traditional Algorithm for Mult., p.118-120
Bridges Grade 5 Practice Book
p. 25, 26, 28, 29, 30, 81
(Note: These are only black line masters of wksheets.
Bridges unit materials that are referenced were not
purchased by district.)
Math Connects Chapter 3 Lessons 4 & 6
Making Sense of Problem Solving F.1, F.2
Additional Resources by Standard from 2014-2015 Guide
5.OA.A.1
Howard County Public Schools
Math Connects
Chapter 5
5.OA.A.2
5.NBT.B.5
Howard County Public Schools
Howard County Public Schools
Four Fours Challenge at:
NCSM Journal, Fall/Winter 2012 -
http://nzmaths.co.nz/resource/four-fours-challenge
Making Sense of Problem Solving F.11
Math Connects Chapter 5
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
2013. Standard Algorithms in the
Common Core States
th
Bridges 5 Grade Supplement:
A3. Independent Worksheets 1-3
(pgs. A3.1-A3.6)
CPSD 10/27/2015
Page 7
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic C: Decimal Multi-Digit Multiplication
CPSD Stage 2: Evidence of Learning
Topic C: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only)
Available Assessment Evidence
PERFORMANCE TASK(S):
5.NBT.B Perform Operations with multi-digit whole numbers and
with decimals to hundredths
Module 2: Lesson 10 Exit Ticket
Level 3 students should be able to fluently multiply whole numbers
and find whole-number quotients of whole numbers with up to
Module 2: Lesson 11 Exit Ticket
four-digit dividends and two-digit divisors and perform the four
operations on decimals to the hundredths. They should be able to
Module 2: Lesson 12 Exit Ticket
relate the strategy to written method and explain the reasoning
used.
5.NBT.B.7
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.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 8
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic C: Decimal Multi-Digit Multiplication
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic C Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Decimal Multi-Digit Multiplication
Engage NY Lessons
Objective 1:
Multiply decimal fractions with tenths by
multi-digit whole numbers using place value understanding
to record partial products.
(Lesson 10)
Objective 2:
Multiply decimal fractions by multi-digit
whole numbers through conversion to a whole number
problem and reasoning about the placement of the
decimal.
(Lesson 11)
Objective 3:
Reason about the product of a whole
number and a decimal with hundredths using place value
understanding and estimation.
(Lesson 12)
Additional Resources by Lesson
from 2014-2015 Guide
Howard County Public Schools
Van de Walle 3-5
Decimal and Percent Concepts and Decimal
Computation
Read bottom of pages 197-201
Activities 7.11 – 7.13
NC Lessons For Learning
Multiplying Whole Numbers by Decimals p.21
Window Time p.25
Additional Resources by Standard from 2014-2015 Guide
5.NBT.B.7
NCSM Journal, Fall/Winter 2012 -2013. Standard Algorithms in the Common Core States
CCSS Math Connects:
Lesson 4 Explore – Use Models to Multiply
Lesson 9 Explore – Divide Decimals Using Models
http://www.mhschool.com/math/2003/student/ (User: CCSS Password: Benefits)
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 9
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic D: Measurement Word Problems w/ Whole Number & Decimal Multiplication
CPSD Stage 2: Evidence of Learning
Topic D: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only)
5.NBT.B Perform Operations with multi-digit whole numbers and with
decimals to hundredths
Level 3 students should be able to fluently multiply whole numbers and
find whole-number quotients of whole numbers with up to four-digit
dividends and two-digit divisors and perform the four operations on
decimals to the hundredths. They should be able to relate the strategy
to written method and explain the reasoning used.
Available Assessment Evidence
PERFORMANCE TASK(S):
Module 2: Lesson 13 Exit Ticket
Module 2: Lesson 14 Exit Ticket
Module 2: Lesson 15 Exit Ticket
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard
algorithm.
5.NBT.B.7
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.
5.MD.A Convert like measurement units within a given measurement
system
Level 3 students should be able to convert like measurements within a
system using whole numbers, fractions (customary system), and
decimals (metric system).
5.MD.A.1
Convert among different-sized standard measurement units within a
given measurement system (e.g., convert 5 cm to 0.05 m), and use these
conversions in solving multi-step, real world problems.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 10
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic D: Measurement Word Problems w/ Whole Number & Decimal Multiplication
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic D Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Measurement Word Problems
with Whole Number and Decimal Multiplication
Engage NY Lessons
Additional Resources by Lesson
from 2014-2015 Guide
Objective 1:
Use whole number multiplication to express
equivalent measurements.
(Lesson 13)
Objective 2:
Use fraction and decimal multiplication to
express equivalent measurements.
(Lesson 14)
Objective 3:
Solve two-step word problems involving
measurement conversions.
(Lesson 15)
Howard County Public Schools
NC Lessons For Learning
• Multiplying Whole Numbers by
Decimals, p.21
• Window Time, p.25
• Measurement Mania, p.28
Howard County Public Schools
Additional Resources by Standard from 2014-2015 Guide
5.NBT.B.5
NCSM Journal, Fall/Winter 2012 -2013.
5.NBT.B.7
5.MD.A.1
Standard Algorithms in the Common Core
States
NCSM Journal, Fall/Winter 2012 -2013.
Standard Algorithms in the Common Core
States
Van de Walle 3-5 Developing
Measurement Concepts Activities
Chapter 9 lessons 16 -19
Bridges Grade 5 Practice Book
CCSS Math Connects:
Howard County Public Schools
p. 25, 26, 28, 29, 30, 81
(Note: These are only black line masters of
worksheets. Bridges unit materials that are
referenced were not purchased by district.)
Bridges 5th Grade Supplement:
A3. Indep Worksheets 1-3 (p. A3.1-A3.6)
Howard County Public Schools
Van de Walle 3-5
Traditional Algorithm for Mult, p.118-120
Math Connects
Chapter 3 Lessons 4 & 6
Lesson 4 Explore – Use Models to Multiply
Lesson 9 Explore – Divide Decimals Using
Models
Howard County Public Schools
Van de Walle 3-5
Decimal and Percent Concepts and Decimal
Computation, Read bottom of p197-201, p.
198 Activities 7.11 – 7.13
NC Lessons For Learning
Multiplying Whole Numbers by Decimals
p.21, Window Time p.25, Measurement
Mania p.28
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 11
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic E: Mental Strategies for Multi-Digit Whole Number Division
CPSD Stage 2: Evidence of Learning
Topic E: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only)
Available Assessment Evidence
5.NBT.A Understand the place value system
PERFORMANCE TASK(S):
Level 3 students should be able to use whole number exponents to
Module 2: Lesson 16 Exit Ticket
denote powers of 10; use repeated reasoning to understand and
explain patterns in numbers of zeros and/or placement of a decimal
Module 2: Lesson 17 Exit Ticket
point when a number is multiplied or divided by powers of 10; read,
write, and compare two decimals to the thousandths using base-ten
Module 2: Lesson 18 Exit Ticket
numerals, number names, and expanded form, using >, =, and < to
record the results of the comparison; and round decimals to any
place.
5.NBT.A.1
Recognize that in a multi-digit number, a digit in one place
represents 10 times as much as it represents in the place to its right
and 1/10 of what it represents in the place to its left.
5.NBT.A.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.B Perform Operations with multi-digit whole numbers and
with decimals to hundredths
Level 3 students should be able to fluently multiply whole numbers
and find whole-number quotients of whole numbers with up to fourdigit dividends and two-digit divisors and perform the four
operations on decimals to the hundredths. They should be able to
relate the strategy to written method and explain the reasoning
used.
5.NBT.B.6
Find whole-number quotients of whole numbers with up to fourdigit dividends and two-digit divisors, using strategies based on place
value, the properties of operations, and/or the relationship between
multiplication and division. Illustrate and explain the calculation by
using equations, rectangular arrays, and/or area models.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 12
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic E: Mental Strategies for Multi-Digit Whole Number Division
Stage 3: Instructional Sequence and Additional Resources
Topic E Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Mental Strategies for Multi-Digit Whole Number Division
Engage NY Lessons
Additional Resources by Lesson
from 2014-2015 Guide
Objective 1:
Use divide by 10 patterns for multi-digit whole
number division.
(Lesson 16)
Objective 2:
Use basic facts to approximate quotients with
two-digit divisors.
(Lessons 17–18)
Bridges 5th Grade CCSS Supplement
Set A11: Number & Operations:
Multiplying Decimals Activity 2 :
Dividing by Powers of 10
Van de Walle 3-5
Invented Strategies for Division, p.121-124
Additional Resources by Standard from 2014-2015 Guide
5.NBT.A.1
Georgia Department of Educ
Unit 1: Order of Operations and
Whole Numbers:
Task: Patterns R Us
Unit 2: Decimals
Task: High Roller Revisited
Howard County Public Schools
5.NBT.A.2
5.NBT.B.6
Georgia Department of Education Unit
1: Order of Operations and Whole Numbers
Task: Patterns R Us
NCSM Journal, Fall/Winter 2012 -2013.
Bridges 5th Grade CCSS Supplement
Set A11: Number & Operations:
Multiplying Decimals
Activity 1: Multiplying by Powers of 10
Bridges 5th Grade Practice Book
pgs. 32, 34, 36, 90
CCSS Math Connects:
Lesson 6 Multiply Decimals by Powers of
10
Lesson 8 Divide Decimals by Powers of 10
http://www.mhschool.com/math/2003/stu
dent/ User: CCSS Password: Benefit
NC Lessons For Learning, Building
Powers of Ten
Standard Algorithms in the Common Core
States
(Note: These are only black line masters
of worksheets. Bridges unit materials that
are referenced were not purchased by
district.)
Howard County Public Schools
Making Sense of Problem Solving F.1
(Warm-Up 1 will need to be omitted or
changed to a whole dollar amount as this
unit focuses on operations with whole
numbers only)
Howard County Public Schools
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 13
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic F: Partial Quotients and Multi-Digit Whole Number Division
CPSD Stage 2: Evidence of Learning
Topic F: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only)
Available Assessment Evidence
PERFORMANCE TASK(S):
5.NBT.B Perform Operations with multi-digit whole numbers and
with decimals to hundredths
Level 3 students should be able to fluently multiply whole numbers
and find whole-number quotients of whole numbers with up to
four-digit dividends and two-digit divisors and perform the four
operations on decimals to the hundredths. They should be able to
relate the strategy to written method and explain the reasoning
used.
Module 2: Lesson 19 Exit Ticket
Module 2: Lesson 20 Exit Ticket
Module 2: Lesson 21 Exit Ticket
Module 2: Lesson 22 Exit Ticket
Module 2: Lesson 23 Exit Ticket
5.NBT.B.6
Find whole-number quotients of whole numbers with up to fourdigit dividends and two-digit divisors, using strategies based on
place value, the properties of operations, and/or the relationship
between multiplication and division. Illustrate and explain the
calculation by using equations, rectangular arrays, and/or area
models.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 14
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic F: Partial Quotients and Multi-Digit Whole Number Division
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic F Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Partial Quotients and Multi-Digit Whole Number Division
Engage NY Lessons
Additional Resources by Lesson
from 2014-2015 Guide
Objective 1:
Divide two- and three-digit dividends by
multiples of 10 with single-digit quotients and make
connections to a written method.
(Lesson 19)
Van de Walle 3-5 Invented Strategies for
Division, p.121-124
Howard County Public Schools
Objective 2:
Divide two- and three-digit dividends by
two-digit divisors with single-digit quotients and make
connections to a written method.
(Lessons 20–21)
Objective 3:
Divide three- and four-digit dividends by
two-digit divisors resulting in two- and three-digit
quotients, reasoning about the decomposition of successive
remainders in each place value.
(Lessons 22–23)
Howard County Public Schools
Additional Resources by Standard from 2014-2015 Guide
5.NBT.B.6
NCSM Journal, Fall/Winter 2012 -2013. Standard Algorithms in the Common Core States
Bridges 5th Grade Practice Book pgs. 32, 34, 36, 90
(Note: These are only black line masters of worksheets. Bridges unit materials that are referenced were not purchased by
district.)
Howard County Public Schools
Van de Walle 3-5 Invented Strategies for Division, p.121-124
Making Sense of Problem Solving
F.1 (Warm-Up 1 will need to be omitted or changed to a whole dollar amount as this unit focuses on operations with whole
numbers only)
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 15
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic G: Partial Quotients and Multi-Digit Decimal Division
CPSD Stage 2: Evidence of Learning
Topic G: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only)
5.NBT.A Understand the place value system
Level 3 students should be able to use whole number exponents to
denote powers of 10; use repeated reasoning to understand and
explain patterns in numbers of zeros and/or placement of a decimal
point when a number is multiplied or divided by powers of 10; read,
write, and compare two decimals to the thousandths using base-ten
numerals, number names, and expanded form, using >, =, and < to
record the results of the comparison; and round decimals to any
place.
Available Assessment Evidence
PERFORMANCE TASK(S):
Module 2: Lesson 24 Exit Ticket
Module 2: Lesson 25 Exit Ticket
Module 2: Lesson 26 Exit Ticket
Module 2: Lesson 27 Exit Ticket
5.NBT.A.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
power of 10.
5.NBT.B Perform Operations with multi-digit whole numbers and
with decimals to hundredths
Level 3 students should be able to fluently multiply whole numbers
and find whole-number quotients of whole numbers with up to
four-digit dividends and two-digit divisors and perform the four
operations on decimals to the hundredths. They should be able to
relate the strategy to written method and explain the reasoning
used.
5.NBT.B.7
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.
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 16
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic G: Partial Quotients and Multi-Digit Decimal Division
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic G Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Partial Quotients and Multi-Digit Decimal Division
Engage NY Lessons
Additional Resources by Lesson
from 2014-2015 Guide
Objective 1:
Divide decimal dividends by multiples of 10,
reasoning about the placement of the decimal point and
making connections to a written method.
(Lesson 24)
Bridges 5th Grade CCSS Supplement
Set A11: Number & Operations: Multiplying Decimals
Activity 2 : Dividing by Powers of 10
http://www.mhschool.com/math/2003/student/
User: CCSS Password: Benefit
Objective 2:
Use basic facts to approximate decimal
quotients with two-digit divisors, reasoning about the
placement of the decimal point.
(Lesson 25)
Howard County Public Schools
Objective 3:
Divide decimal dividends by two-digit
divisors, estimating quotients, reasoning about the
placement of the decimal point, and making connections to
a written method.
(Lessons 26–27)
Howard County Public Schools
Additional Resources by Standard from 2014-2015 Guide
5.NBT.A.2
5.NBT.B.7
th
Georgia Department of Education CCGPS Frameworks, 5
Grade Unit 1: Order of Operations and Whole Numbers Task:
Patterns R Us
NCSM Journal, Fall/Winter 2012 -2013. Standard
Algorithms in the Common Core States
Bridges 5th Grade CCSS Supplement
Set A11: Number & Operations: Multiplying Decimals
Activity 1: Multiplying by Powers of 10, Activity 2 : Dividing
by Powers of 10
CCSS Math Connects:
Lesson 4 Explore – Use Models to Multiply
Lesson 9 Explore – Divide Decimals Using Models
http://www.mhschool.com/math/2003/student/
(User: CCSS
Password: Benefits)
CCSS Math Connects: Lesson 6
Multiply Decimals by Powers of 10
http://www.mhschool.com/math/2003/student/
User: CCSS Password: Benefit
Van de Walle 3-5 Decimal and Percent Concepts and Decimal
Computation, Read bottom of p197-201, p. 198 Activities 7.11 – 7.13
NC Lessons For Learning, Building Powers of Ten
Decimals p.21, Window Time p.25, Measurement Mania p.28
NC Lessons For Learning Multiplying Whole Numbers by
Howard County Public Schools
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 17
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic H: Measurement Word Problems with Multi-Digit Division
CPSD Stage 2: Evidence of Learning
Topic H: Stage 2 – Evidence of Learning
Evaluative Criteria/Assessment Level Descriptors (ALDs): (3-5 Only)
5.NBT.B Perform Operations with multi-digit whole numbers and
with decimals to hundredths
Level 3 students should be able to fluently multiply whole numbers
and find whole-number quotients of whole numbers with up to
four-digit dividends and two-digit divisors and perform the four
operations on decimals to the hundredths. They should be able to
relate the strategy to written method and explain the reasoning
used.
Available Assessment Evidence
PERFORMANCE TASK(S):
Module 2: Lesson 28 Exit Ticket
Module 2: Lesson 29 Exit Ticket
5.NBT.B.6
Find whole-number quotients of whole numbers with up to fourdigit dividends and two-digit divisors, using strategies based on
place value, the properties of operations, and/or the relationship
between multiplication and division. Illustrate and explain the
calculation by using equations, rectangular arrays, and/or area
models.
5.NBT.B.7
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.
Administer After Topic H
•
•
End of Module 1 Assessment
OPTIONAL- Cluster Assessment NBT.B Perform operations with multi-digit whole numbers and with
decimals to hundredths
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 18
Grade 5 Mathematics Curriculum Guide
2015 – 2016
Topic H: Measurement Word Problems with Multi-Digit Division
CPSD Stage 3: Instructional Sequence and Additional Resources
Topic H Stage 3 – Learning Activities
A Teaching Sequence Towards Mastery of Measurement Word Problems with Multi-Digit Division
Engage NY Lessons
Additional Resources by Lesson
from 2014-2015 Guide
Objective 1:
Solve division word problems involving
multi-digit division with group size unknown and the number
of groups unknown.
(Lessons 28–29)
Making Sense of Problem Solving F.1
(Warm-Up 1 will need to be omitted or
changed to a whole dollar amount as this
unit focuses on operations with whole
numbers only)
Van de Walle 3-5
Invented Strategies for Division, p.121-124
Additional Resources by Standard from 2014-2015 Guide
5.NBT.B.7
5.NBT.B.6
NCSM Journal, Fall/Winter 2012 -2013. Standard
Algorithms in the Common Core States
NCSM Journal, Fall/Winter 2012 -2013. Standard
Algorithms in the Common Core States
Bridges 5th Grade Practice Book pgs. 32, 34, 36, 90
(Note: These are only black line masters of worksheets.
Bridges unit materials that are referenced were not
purchased by district.)
CCSS Math Connects:
Lesson 4Explore – Use Models to Multiply
Lesson 9Explore – Divide Decimals Using Models
http://www.mhschool.com/math/2003/student/
(User: CCSS Password: Benefits)
Howard County Public Schools
Howard County Public Schools
Van de Walle 3-5 Decimal and Percent Concepts and
Decimal Computation, Read bottom of p197-201, p.
198 Activities 7.11 – 7.13
NC Lessons For Learning
Multiplying Whole Numbers by Decimals p.21,
Window Time p.25, Measurement Mania p.28
Module 2: Multi-Digit Whole Number and Decimal Fraction Operations
CPSD 10/27/2015
Page 19