5.NBT.5 Task 1 - Hueneme Elementary School District

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Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Priority Standards
Perform operations with multi-digit whole numbers and with decimals to hundredths.
CCSS.Math.Content.5.NBT5
Fluently multiply multi-digit whole numbers using the standard algorithm.
CCSS.Math.Content.5.NBT6
Find whole-number quotients of whole numbers with up to four-digit 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.
CCSS.Math.Content.5.NBT7
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.
Support Tool (Standards Unpacked)
http://www.ncpublicschools.org/docs/acre/standards/common-core-tools/unpacking/math/5th.pdf
Standards Flipbook
http://katm.org/wp/wp-content/uploads/flipbooks/5th-Flipbookedited2.pdf
HESD Planning Support for Grade 5 Math
http://www.huensd.k12.ca.us/Page/4643
1
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Chapter 1 of 5
Tier 3 Vocabulary
• Commutative Property
• Equation
• Exponents
• Expression
• Multiplicand
• Multiplier
• Order of Operations
• Partial Product
• Product
• Algorithm
Big Idea(s) addressed in this chapter:
Vocabulary, plus multiplication of one digit by one, two, and three-digit numbers, including partial products, models, arrays
PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that
govern arithmetic and algebra.
BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of
equivalence to transform calculations into simpler ones.
Emphasized Mathematical Practices:
5.MP.1. Make sense of problems and persevere in solving
them.
2
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
5.MP.4. Model with mathematics.
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.
Criteria for Success1
“What is good enough?”
5.NBT.5. Fluently
Given numbers and word
multiply multi-digit whole problems, students can
numbers using the
multiply a one-digit number
standard algorithm.
by a two or three-digit
multiplicand with 80%
accuracy
Students learn to
multiply a two-digit
number by a two or
three-digit multiplicand.
Learning Objectives
Relevant Essential
Questions
How can I multiply larger
numbers?
Assessment
5.NBT.5 | Assessing 5.NBT.5
What do parentheses mean in
a numerical expression?
How can I use parentheses to
clarify meaning, and show the
order of operations in math
expressions?
1
3
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Chapter 2 of 5
Big Idea(s) addressed in this chapter:
Vocabulary, plus algorithm for two and three-digit multiplication
PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that
govern arithmetic and algebra.
BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of
equivalence to transform calculations into simpler ones.
Emphasized Mathematical Practices:
5.MP.1. Make sense of problems and persevere in solving
them.
5.MP.4. Model with mathematics.
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
4
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
reasoning.
Learning Objectives
Criteria for Success
“What is good enough?”
5.NBT.5. Fluently
Given numbers and word
multiply multi-digit whole problems, students can
numbers using the
multiply a two-digit number
standard algorithm.
by a two or three-digit
multiplicand with 80%
accuracy
Students learn to
multiply a two-digit
number by a two or
three-digit multiplicand.
Relevant Essential
Questions
How can I multiply large
numbers?
Assessment
5.NBT.5 | Assessing 5.NBT.5
Supporting
Standards
5.NBT.7. Add, subtract,
multiply, and divide
decimals to hundredths,
using concrete models
or drawings and
5
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
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.OA.1. Use
parentheses, brackets,
or braces in numerical
expressions, and
evaluate expressions
with these symbols.
5.OA.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.
6
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
7
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Chapter 3 of 5
Tier 3 Vocabulary
●
●
●
●
●
●
Distributive Property
Properties of Operations
Remainder
Quotient
Measurement Division (or Repeated Subtraction)
Partition Division (or fair-sharing)
Big Idea(s) addressed in this chapter:
The relationship between multiplication & division - theoretical and practical, including partial products and partial
quotients; inverse operations
PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that
govern arithmetic and algebra.
BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of
equivalence to transform calculations into simpler ones.
Emphasized Mathematical Practices:
5.MP.1. Make sense of problems and persevere in solving
them.
5.MP.4. Model with mathematics.
8
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
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.
Learning Objectives
5.NBT.5. Fluently
multiply multi-digit whole
numbers using the
standard algorithm.
Criteria for Success
“What is good enough?”
Relevant Essential
Question2
Assessments
5.NBT.5 | Assessing 5.NBT.5
5.NBT.6 | Assessing 5.NBT.6
5.NBT.7 | Assessing 5.NBT.7
5.NBT.6. Find wholenumber quotients of
whole numbers with up
to four-digit 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.
2
9
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Supporting
Standards
5.NBT.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.OA.1. Use
parentheses, brackets,
or braces in numerical
expressions, and
evaluate expressions
with these symbols.
5.OA.2. Write simple
10
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
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.
11
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Chapter 4 of 5
Tier 3 Vocabulary
• Dividend
• Divisor
• Remainder
Big Idea(s) addressed in this chapter:
Divide with one digit divisors. Include vocabulary and standard algorithm.
PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that
govern arithmetic and algebra.
BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of
equivalence to transform calculations into simpler ones.
Emphasized Mathematical Practices:
5.MP.1. Make sense of problems and persevere in solving
them.
5.MP.4. Model with mathematics.
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
12
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
reasoning.
Learning Objectives
Criteria for Success
“What is good enough?”
5.NBT.5. Fluently
Given numbers and word
multiply multi-digit whole problems, students can find
numbers using the
whole number quotients for
standard algorithm.
two and three-digit numbers
divided by one-digit divisors
with 80% accuracy
5.NBT.6. Find wholenumber quotients of
whole numbers with up
to four-digit 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.
Relevant Essential
Questions3
How can I divide multi digit
whole numbers?
Assessments
5.NBT.5 | Assessing 5.NBT.5
5.NBT.6 | Assessing 5.NBT.6
5.NBT.7 | Assessing 5.NBT.7
3
13
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Supporting Standards
5.NBT.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.OA.1. Use parentheses,
brackets, or braces in
numerical expressions, and
evaluate expressions with
these symbols.
5.OA.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,
14
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
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.
15
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Chapter 5 of 5
Big Idea(s) addressed in this chapter:
Find whole number quotients of problems with up to four-digit dividends and two-digit divisors; performance tasks using
real world problems.
PROPERTIES: For a given set of numbers there are relationships that are always true, and these are the rules that
govern arithmetic and algebra.
BASIC FACTS & ALGORITHMS: Basic facts and algorithms for operations with rational numbers use notions of
equivalence to transform calculations into simpler ones.
Emphasized Mathematical Practices:
5.MP.1. Make sense of problems and persevere in solving
them.
5.MP.4. Model with mathematics.
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.
16
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Learning Objectives
5.NBT.5. Fluently
multiply multi-digit whole
numbers using the
standard algorithm.
5.NBT.6. Find wholenumber quotients of whole
numbers with up to fourdigit dividends and twodigit 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,
Criteria for Success4
“What is good enough?”
Given numbers and word
problems, students can find
whole number quotients for
two and three-digit numbers
divided by two-digit divisors
with 80% accuracy
Relevant Essential
Questions5
Assessments
5.NBT.5 | Assessing 5.NBT.5
5.NBT.6 | Assessing 5.NBT.6
5.NBT.7 | Assessing 5.NBT.7
4
5
17
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
rectangular arrays, and/or
area models.
Supporting Standards
5.NBT.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.OA.1. Use parentheses,
brackets, or braces in
numerical expressions,
and evaluate expressions
with these symbols.
5.OA.2. Write simple
expressions that record
calculations with numbers,
and interpret numerical
expressions without
evaluating them. For
example, express the
18
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
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.
Online Resources Organized by Priority Standards
CCSS.Math.Content.5.NBT5
Fluently multiply multi-digit whole numbers using the standard algorithm.
https://grade5commoncoremath.wikispaces.hcpss.org/5.NBT.5
http://ccssmath.org/?page_id=440
http://www.pinterest.com/mathscisocohmy/5nbt-number-and-operations-in-base-ten/
http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5nbt5
https://sites.google.com/a/bryantschools.org/math-common-core-resource-site/home-1/5th-grade/5-nbt-5
http://www.internet4classrooms.com/common_core/fluently_multiply_multi_digit_whole_numbers_using_number_operatio
ns_in_base_ten_fifth_5th_grade_math_mathematics.htm
19
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Engage New York: https://www.engageny.org/taxonomy/term/9556
http://www.mathworksheetsland.com/5/
http://www.livebinders.com/play/play?id=406974
https://learnzillion.com/lessons/528-multiply-multidigit-numbers-using-an-area-model
http://www.sharemylesson.com/TaxonomySearchResults.aspx?area=resources&keywords=5.NBT.5
http://www.mathgoodies.com/standards/alignments/grade5.html
http://ccss5.watchknowlearn.org/Category.aspx?CategoryID=15540
http://www.orglib.com/5.nbt.5-practice-testviewTestQuestions_0d1520c2bb_c32f38effde140788221fe54e2fa0f28_748.html
https://www.oercommons.org/browse/alignment/CCSS.Math.Content.5.NBT.B.5
http://njcore.org/ccss/ccssmathcontent5nbtb5
http://www.sumdog.com/en/Fluently_multiply_and_divide_within_100_-_multiplication_table_of_10/
Make the Largest Product (ver. 4)
Make the Smallest Product (ver. 4)
Multiplication Race (2 x 3 digit)
CCSS.Math.Content.5.NBT6
Find whole-number quotients of whole numbers with up to four-digit 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.
20
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
https://grade5commoncoremath.wikispaces.hcpss.org/5.NBT.6
https://learnzillion.com/lessons/552-divide-4digit-dividends-by-2digit-divisors-by-using-an-area-model
https://learnzillion.com/lessons/551-divide-4digit-dividends-by-2-digit-divisors-by-estimating-and-adjusting-the-quotient
Engage New York: https://www.engageny.org/taxonomy/term/9561
http://www.mathworksheetsland.com/5/
http://www.internet4classrooms.com/common_core/find_whole_number_quotients_whole_numbers_up_number_operatio
ns_in_base_ten_fifth_5th_grade_math_mathematics.htm
http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5nbt6
http://www.cpalms.org/Public/PreviewStandard/Preview/5417
http://www.pbslearningmedia.org/resource/2829430e-d445-4048-be89-7a785d6d0cf4/number-and-operations-in-base-10grade-5-5nbtb6-5nbtb7/
http://www.livebinders.com/play/play?id=406974
http://quizlet.com/13131075/5th-grade-math-common-core-5nbt6-flash-cards/
http://www.tncurriculumcenter.org/learning_expectation/2628
http://njcore.org/ccss/ccssmathcontent5nbtb6
CCSS.Math.Content.5.NBT7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and
21
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
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.
https://grade5commoncoremath.wikispaces.hcpss.org/5.NBT.7
http://ccssmath.org/?page_id=444
http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5nbt7
https://sites.google.com/a/bryantschools.org/math-common-core-resource-site/home-1/5th-grade/5-nbt-7
http://www.livebinders.com/play/play?id=406974’
https://learnzillion.com/lessonsets/229-multiply-and-divide-by-decimals-to-the-hundredths
http://www.internet4classrooms.com/common_core/add_subtract_multiply_divide_decimals_hundredths_number_operati
ons_in_base_ten_fifth_5th_grade_math_mathematics.htm’
’http://www.mathnook.com/math/ccss/5.NBT.B.7.php
http://www.orglib.com/5.nbt.7-activities-viewtestquestions_0d1520c2bb_c32f38effde140788221fe54e2fa0f28_1185.html
Engage New York: https://www.engageny.org/taxonomy/term/9566
http://www.tncurriculumcenter.org/learning_expectation/2629
22
Hueneme Elementary School District
Unit 2 Outline: Multiplication and Division
Grade 5
(@6-8 weeks)
Possible Activities:
Decimals of the Week
Decimal Bag: Addition
Decimal Bag: Subtraction
Decimal Pictures
Adding Decimals
Subtracting Decimals ver. 1
Subtracting Decimals ver. 2
Total Ten
Decimal Cross Number Puzzles
Decimal Subtraction Spin
Decimal Addition to 500
Decimal Addition Bingo
Decimal Race to Zero
Decimals Magic Triangle
Decimal Magic Squares
Multiplying Decimals Word Prob.
Multiplying Decimals (whole x tenths)
Multiplying Decimals (whole x hund.)
Assessment Tasks
5.NBT.5 Task 1
5.NBT.5 Task 2
5.NBT.6 Task 1
5.NBT.6 Task 2
5.NBT.7 Task 1
5.NBT.7 Task 2
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