SlideShare a Scribd company logo
NCTM Strands

Number and Operations
Algebra
Geometry
Measurement
Data Analysis & Probability
NCTM Strands
                        Strand 1
Number and Operations
Algebra
Geometry
Measurement
Data Analysis & Probability
Number and Operations
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
                                      1
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
                                                 1
                             Understand numbers

Count with understanding and recognize "how many" in
sets of objects
      Know names of numbers




              2 =
Number and Operations
                                                 1
                             Understand numbers

Count with understanding and recognize "how many" in
sets of objects
      There is an order to numbers
Number and Operations
                                                 1
                             Understand numbers

Count with understanding and recognize "how many" in
sets of objects
      There is an order to numbers




             0123456789
Number and Operations
                                                 1
                             Understand numbers

Count with understanding and recognize "how many" in
sets of objects
      One-to-one
      correspondence
Number and Operations
                                                     1
                                Understand numbers

Count with understanding and recognize "how many" in
sets of objects
      Subitizing (instant recognition of quantity)
Number and Operations
                                                     1
                                Understand numbers

Count with understanding and recognize "how many" in
sets of objects
      Subitizing (instant recognition of quantity)
Number and Operations
                                                     1
                               Understand numbers

Use multiple models to develop initial understandings of
place value and the base-ten number system
      We use base-10 system
Number and Operations
                                                     1
                               Understand numbers

Use multiple models to develop initial understandings of
place value and the base-ten number system
      Not binary, not hexadecimal
Number and Operations
                                                     1
                               Understand numbers

Use multiple models to develop initial understandings of
place value and the base-ten number system
      Show them concretely/physically
      what 4 looks like
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Do you know
      the magnitude of 15?
Number and Operations
                                                        1
                                Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Give them a reference (in relationship to other
      numbers)



         -2    -1    0      1    2     3     4
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Ordinal
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Ordinal
                                      order
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Cardinal
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Cardinal
                                    counted
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      Have examples up all around
      the class to quickly point to
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      How many letters in your name?
Number and Operations
                                                   1
                              Understand numbers

Develop understanding of the relative position and
magnitude of whole numbers and of ordinal and cardinal
numbers and their connections
      How many letters in your name?


                              B i l l
                              1234
Number and Operations
                                                     1
                               Understand numbers

Develop a sense of whole numbers and represent and
use them in flexible ways, including relating, composing,
and decomposing numbers
      5 Little Monkeys Jumping on the Bed
      5 Green & Speckled Frogs
Number and Operations
                                                     1
                               Understand numbers

Develop a sense of whole numbers and represent and
use them in flexible ways, including relating, composing,
and decomposing numbers
      Decomposing. 5 can be:
            1,1,1,1,1
            2,3
            1,4
Number and Operations
                                                  1
                               Understand numbers

Connect number words and numerals to the quantities
they represent, using various physical models and
representations
      Find/Make poster with:
           1) numeral
           2) quantity
           3) number word all in one place
Number and Operations
                                                  1
                              Understand numbers

Connect number words and numerals to the quantities
they represent, using various physical models and
representations
      They need to count it
      before you can add
      the symbol, number
      or the number word
Number and Operations
                                                  1
                              Understand numbers

Connect number words and numerals to the quantities
they represent, using various physical models and
representations
      Connect numeral (0-9) to quantity
Number and Operations
                                                    1
                                  Understand numbers

Understand and represent commonly used fractions,
such as 1/4, 1/3, and 1/2.


      "Pour 1/2 glass of milk."
Number and Operations
                                                    1
                             Understand numbers

Understand and represent commonly used fractions,
such as 1/4, 1/3, and 1/2.


      Talk about fractions
      during snack time.
Number and Operations
                                                    1
                             Understand numbers

Understand and represent commonly used fractions,
such as 1/4, 1/3, and 1/2.


      Talk about fractions
      during snack time.
Number and Operations
                                                    1
                             Understand numbers

Understand and represent commonly used fractions,
such as 1/4, 1/3, and 1/2.


      Give non-examples.
Number and Operations
                                1
We haven't even talked about


adding                   yet!
Number and Operations
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
                                      2
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
                                                    2
                            Understand meanings

Understand various meanings of addition and
subtraction of whole numbers and the relationship
between the two operations.
      Fact family                       2+3 = 5
                                        3+2 = 5
                                        5-2 = 3
                                        5-3 = 2
Number and Operations
                                                   2
                            Understand meanings

Understand the effects of adding and subtracting whole
numbers.
      Adding
Number and Operations
                                                   2
                            Understand meanings

Understand the effects of adding and subtracting whole
numbers.
      Subtracting
Number and Operations
                                                     2
                            Understand meanings

Understand situations that entail multiplication and
division, such as equal groupings of objects and sharing
equally.
      Equal sets during snack.
Number and Operations
                                                     2
                            Understand meanings

Understand situations that entail multiplication and
division, such as equal groupings of objects and sharing
equally.
      Equal sets for backpacks.
Number and Operations
                                                     2
                            Understand meanings

Understand situations that entail multiplication and
division, such as equal groupings of objects and sharing
equally.
      Equal sets: number of students in the playhouse.
Number and Operations
                              2
Make it


relevant           to them!
Number and Operations
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
                                      3
Understand numbers, ways of
representing numbers, relationships
among numbers, and number systems.
Understand meanings of operations
and how they relate to one another.
Compute fluently and make reasonable
estimates.
Number and Operations
                                                    3
                              Compute Fluently

Develop and use strategies for whole-number
computations, with a focus on addition and subtraction.
      Teach a strategy: "I can move
      this counter to this compartment
      to help me count."
Number and Operations
                                                    3
                                Compute Fluently

Develop fluency with basic number combinations for
addition and subtraction.
      Memorize it. (Don’t get lost in 5th grade.)
Number and Operations
                                                    3
                             Compute Fluently

Develop fluency with basic number combinations for
addition and subtraction.
      Avoid math anxiety by developing a good
      foundation of the concept.
Number and Operations
                                                     3
                             Compute Fluently

Develop fluency with basic number combinations for
addition and subtraction.
      Observe students in the classroom before you
      start lesson planning.
Number and Operations
                                                     3
                              Compute Fluently

Use a variety of methods and tools to compute,
including objects, mental computation, estimation,
paper and pencil, and calculators.
      Add this into your
      daily routine
Number and Operations
                                                     3
                              Compute Fluently

Use a variety of methods and tools to compute,
including objects, mental computation, estimation,
paper and pencil, and calculators.
      Practice estimating
      numbers, distance, & size
Number and Operations
                                                             3
                              Compute Fluently

Use a variety of methods and tools to compute,
including objects, mental computation, estimation,
paper and pencil, and calculators.
      Introduce calculators




                                                photo by Jason Toal
Number and Operations
                                                     3
                              Compute Fluently

Use a variety of methods and tools to compute,
including objects, mental computation, estimation,
paper and pencil, and calculators.
      Put numbers and rulers in writing center.
Number and Operations
                                                     3
                                 Compute Fluently

Use a variety of methods and tools to compute,
including objects, mental computation, estimation,
paper and pencil, and calculators.
      Variety of manipulatives
      (many, many!)
Number and Operations
                              3
It needs to make


sense              to them!

More Related Content

Similar to NCTM Number and Operations

1stgrd math10 11
1stgrd math10 111stgrd math10 11
1stgrd math10 11
isdtesting
 
First Grade Math
First Grade MathFirst Grade Math
First Grade Math
Isaac_Schools_5
 
01 Introduction to Whole Number Sense Learner.ppsx
01 Introduction to Whole Number Sense Learner.ppsx01 Introduction to Whole Number Sense Learner.ppsx
01 Introduction to Whole Number Sense Learner.ppsx
AdamSmith382635
 
Number concept kenji yeoh 821
Number concept kenji yeoh 821Number concept kenji yeoh 821
Number concept kenji yeoh 821
Kenjiyoyo
 
Subsets of real numbers
Subsets of real numbersSubsets of real numbers
Subsets of real numbers
Grace Robledo
 
Rpt dlp mt y1 2021
Rpt dlp mt y1 2021Rpt dlp mt y1 2021
Rpt dlp mt y1 2021
abangfitri1
 
Numbers
NumbersNumbers
Numbers
ClinInsight
 
2 (2.1) intro number sense
2 (2.1) intro    number sense2 (2.1) intro    number sense
2 (2.1) intro number sense
samanthanewgas
 
Assignment 2 theoretical
Assignment 2 theoreticalAssignment 2 theoretical
Assignment 2 theoretical
alice0731my
 
1.1 and 1.2
1.1 and 1.21.1 and 1.2
1.1 and 1.2
leblance
 
The world of numbers: Introducing Numbers
The world of numbers: Introducing NumbersThe world of numbers: Introducing Numbers
The world of numbers: Introducing Numbers
Ontario eSchool
 
NS1: Rational and Irrational numbers
NS1: Rational and Irrational numbersNS1: Rational and Irrational numbers
NS1: Rational and Irrational numbers
A Wright
 
Understanding algebra
Understanding algebraUnderstanding algebra
Understanding algebra
Jonathan Underwood
 
December 1, 2014
December 1, 2014December 1, 2014
December 1, 2014
khyps13
 
Number Systems
Number SystemsNumber Systems
Number Systems
美晴 福田
 
Wes K-2 lunch and learn Spring, 2011
Wes K-2 lunch and learn Spring, 2011Wes K-2 lunch and learn Spring, 2011
Wes K-2 lunch and learn Spring, 2011
JC Sawyer Dolphins
 
LEARNING COMPETENCIES GRADE 2 2010 mathematics
LEARNING COMPETENCIES GRADE 2 2010 mathematicsLEARNING COMPETENCIES GRADE 2 2010 mathematics
LEARNING COMPETENCIES GRADE 2 2010 mathematics
MARY JEAN DACALLOS
 
PELC Mathematics
PELC MathematicsPELC Mathematics
PELC Mathematics
Methusael Cebrian
 
Number theory Grade 7, 8 and 9
Number theory Grade 7, 8 and 9Number theory Grade 7, 8 and 9
Number theory Grade 7, 8 and 9
Sibonelo Sicelo Khanyile
 
Chapter 10 Math Basics
Chapter 10 Math BasicsChapter 10 Math Basics
Chapter 10 Math Basics
Detroit Urban Lutheran School
 

Similar to NCTM Number and Operations (20)

1stgrd math10 11
1stgrd math10 111stgrd math10 11
1stgrd math10 11
 
First Grade Math
First Grade MathFirst Grade Math
First Grade Math
 
01 Introduction to Whole Number Sense Learner.ppsx
01 Introduction to Whole Number Sense Learner.ppsx01 Introduction to Whole Number Sense Learner.ppsx
01 Introduction to Whole Number Sense Learner.ppsx
 
Number concept kenji yeoh 821
Number concept kenji yeoh 821Number concept kenji yeoh 821
Number concept kenji yeoh 821
 
Subsets of real numbers
Subsets of real numbersSubsets of real numbers
Subsets of real numbers
 
Rpt dlp mt y1 2021
Rpt dlp mt y1 2021Rpt dlp mt y1 2021
Rpt dlp mt y1 2021
 
Numbers
NumbersNumbers
Numbers
 
2 (2.1) intro number sense
2 (2.1) intro    number sense2 (2.1) intro    number sense
2 (2.1) intro number sense
 
Assignment 2 theoretical
Assignment 2 theoreticalAssignment 2 theoretical
Assignment 2 theoretical
 
1.1 and 1.2
1.1 and 1.21.1 and 1.2
1.1 and 1.2
 
The world of numbers: Introducing Numbers
The world of numbers: Introducing NumbersThe world of numbers: Introducing Numbers
The world of numbers: Introducing Numbers
 
NS1: Rational and Irrational numbers
NS1: Rational and Irrational numbersNS1: Rational and Irrational numbers
NS1: Rational and Irrational numbers
 
Understanding algebra
Understanding algebraUnderstanding algebra
Understanding algebra
 
December 1, 2014
December 1, 2014December 1, 2014
December 1, 2014
 
Number Systems
Number SystemsNumber Systems
Number Systems
 
Wes K-2 lunch and learn Spring, 2011
Wes K-2 lunch and learn Spring, 2011Wes K-2 lunch and learn Spring, 2011
Wes K-2 lunch and learn Spring, 2011
 
LEARNING COMPETENCIES GRADE 2 2010 mathematics
LEARNING COMPETENCIES GRADE 2 2010 mathematicsLEARNING COMPETENCIES GRADE 2 2010 mathematics
LEARNING COMPETENCIES GRADE 2 2010 mathematics
 
PELC Mathematics
PELC MathematicsPELC Mathematics
PELC Mathematics
 
Number theory Grade 7, 8 and 9
Number theory Grade 7, 8 and 9Number theory Grade 7, 8 and 9
Number theory Grade 7, 8 and 9
 
Chapter 10 Math Basics
Chapter 10 Math BasicsChapter 10 Math Basics
Chapter 10 Math Basics
 

More from Bill

ibooks author
ibooks authoribooks author
ibooks authorBill
 
Twitter Changed My Life
Twitter Changed My LifeTwitter Changed My Life
Twitter Changed My Life
Bill
 
Twitter Changed My Life (& My Classroom)
Twitter Changed My Life (& My Classroom)Twitter Changed My Life (& My Classroom)
Twitter Changed My Life (& My Classroom)
Bill
 
Final study guide
Final study guide Final study guide
Final study guide
Bill
 
Tagul
TagulTagul
Tagul
Bill
 
Instantly Usable Video
Instantly Usable VideoInstantly Usable Video
Instantly Usable Video
Bill
 
Blabberize
BlabberizeBlabberize
Blabberize
Bill
 
Create an Online Video Library
Create an Online Video LibraryCreate an Online Video Library
Create an Online Video Library
Bill
 
Final study guide NCTM standards
Final study guide NCTM standardsFinal study guide NCTM standards
Final study guide NCTM standards
Bill
 
Final exam review
Final exam reviewFinal exam review
Final exam review
Bill
 
Types of Shots
Types of ShotsTypes of Shots
Types of Shots
Bill
 
Principles in Curriculum
Principles in CurriculumPrinciples in Curriculum
Principles in Curriculum
Bill
 
Math processing strands
Math processing strandsMath processing strands
Math processing strands
Bill
 
Crush It Summary
Crush It SummaryCrush It Summary
Crush It Summary
Bill
 
NCTM Data Analysis
NCTM Data AnalysisNCTM Data Analysis
NCTM Data Analysis
Bill
 
Midterm Study Guide NCTM Standards
Midterm Study Guide NCTM StandardsMidterm Study Guide NCTM Standards
Midterm Study Guide NCTM Standards
Bill
 
8 Measurement
8 Measurement8 Measurement
8 Measurement
Bill
 
515 Agenda 2
515 Agenda 2515 Agenda 2
515 Agenda 2
Bill
 
NCTM Geometry
NCTM GeometryNCTM Geometry
NCTM Geometry
Bill
 
NCTM Algebra
NCTM AlgebraNCTM Algebra
NCTM Algebra
Bill
 

More from Bill (20)

ibooks author
ibooks authoribooks author
ibooks author
 
Twitter Changed My Life
Twitter Changed My LifeTwitter Changed My Life
Twitter Changed My Life
 
Twitter Changed My Life (& My Classroom)
Twitter Changed My Life (& My Classroom)Twitter Changed My Life (& My Classroom)
Twitter Changed My Life (& My Classroom)
 
Final study guide
Final study guide Final study guide
Final study guide
 
Tagul
TagulTagul
Tagul
 
Instantly Usable Video
Instantly Usable VideoInstantly Usable Video
Instantly Usable Video
 
Blabberize
BlabberizeBlabberize
Blabberize
 
Create an Online Video Library
Create an Online Video LibraryCreate an Online Video Library
Create an Online Video Library
 
Final study guide NCTM standards
Final study guide NCTM standardsFinal study guide NCTM standards
Final study guide NCTM standards
 
Final exam review
Final exam reviewFinal exam review
Final exam review
 
Types of Shots
Types of ShotsTypes of Shots
Types of Shots
 
Principles in Curriculum
Principles in CurriculumPrinciples in Curriculum
Principles in Curriculum
 
Math processing strands
Math processing strandsMath processing strands
Math processing strands
 
Crush It Summary
Crush It SummaryCrush It Summary
Crush It Summary
 
NCTM Data Analysis
NCTM Data AnalysisNCTM Data Analysis
NCTM Data Analysis
 
Midterm Study Guide NCTM Standards
Midterm Study Guide NCTM StandardsMidterm Study Guide NCTM Standards
Midterm Study Guide NCTM Standards
 
8 Measurement
8 Measurement8 Measurement
8 Measurement
 
515 Agenda 2
515 Agenda 2515 Agenda 2
515 Agenda 2
 
NCTM Geometry
NCTM GeometryNCTM Geometry
NCTM Geometry
 
NCTM Algebra
NCTM AlgebraNCTM Algebra
NCTM Algebra
 

Recently uploaded

คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
สมใจ จันสุกสี
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit InnovationLeveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
TechSoup
 
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
PECB
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
 
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Wahiba Chair Training & Consulting
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
Celine George
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Fajar Baskoro
 
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skillsspot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
haiqairshad
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
Katrina Pritchard
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Nicholas Montgomery
 
Wound healing PPT
Wound healing PPTWound healing PPT
Wound healing PPT
Jyoti Chand
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
Priyankaranawat4
 
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxBeyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
EduSkills OECD
 
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
eBook.com.bd (প্রয়োজনীয় বাংলা বই)
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
iammrhaywood
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
WaniBasim
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
Israel Genealogy Research Association
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Nguyen Thanh Tu Collection
 

Recently uploaded (20)

คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit InnovationLeveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
 
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
 
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
 
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skillsspot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
 
Wound healing PPT
Wound healing PPTWound healing PPT
Wound healing PPT
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
 
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxBeyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
 
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
 

NCTM Number and Operations

  • 1. NCTM Strands Number and Operations Algebra Geometry Measurement Data Analysis & Probability
  • 2. NCTM Strands Strand 1 Number and Operations Algebra Geometry Measurement Data Analysis & Probability
  • 3. Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 4. Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 5. Number and Operations 1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 6. Number and Operations 1 Understand numbers Count with understanding and recognize "how many" in sets of objects Know names of numbers 2 =
  • 7. Number and Operations 1 Understand numbers Count with understanding and recognize "how many" in sets of objects There is an order to numbers
  • 8. Number and Operations 1 Understand numbers Count with understanding and recognize "how many" in sets of objects There is an order to numbers 0123456789
  • 9. Number and Operations 1 Understand numbers Count with understanding and recognize "how many" in sets of objects One-to-one correspondence
  • 10. Number and Operations 1 Understand numbers Count with understanding and recognize "how many" in sets of objects Subitizing (instant recognition of quantity)
  • 11. Number and Operations 1 Understand numbers Count with understanding and recognize "how many" in sets of objects Subitizing (instant recognition of quantity)
  • 12. Number and Operations 1 Understand numbers Use multiple models to develop initial understandings of place value and the base-ten number system We use base-10 system
  • 13. Number and Operations 1 Understand numbers Use multiple models to develop initial understandings of place value and the base-ten number system Not binary, not hexadecimal
  • 14. Number and Operations 1 Understand numbers Use multiple models to develop initial understandings of place value and the base-ten number system Show them concretely/physically what 4 looks like
  • 15. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Do you know the magnitude of 15?
  • 16. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Give them a reference (in relationship to other numbers) -2 -1 0 1 2 3 4
  • 17. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Ordinal
  • 18. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Ordinal order
  • 19. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Cardinal
  • 20. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Cardinal counted
  • 21. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections Have examples up all around the class to quickly point to
  • 22. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections How many letters in your name?
  • 23. Number and Operations 1 Understand numbers Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections How many letters in your name? B i l l 1234
  • 24. Number and Operations 1 Understand numbers Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers 5 Little Monkeys Jumping on the Bed 5 Green & Speckled Frogs
  • 25. Number and Operations 1 Understand numbers Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers Decomposing. 5 can be: 1,1,1,1,1 2,3 1,4
  • 26. Number and Operations 1 Understand numbers Connect number words and numerals to the quantities they represent, using various physical models and representations Find/Make poster with: 1) numeral 2) quantity 3) number word all in one place
  • 27. Number and Operations 1 Understand numbers Connect number words and numerals to the quantities they represent, using various physical models and representations They need to count it before you can add the symbol, number or the number word
  • 28. Number and Operations 1 Understand numbers Connect number words and numerals to the quantities they represent, using various physical models and representations Connect numeral (0-9) to quantity
  • 29. Number and Operations 1 Understand numbers Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2. "Pour 1/2 glass of milk."
  • 30. Number and Operations 1 Understand numbers Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2. Talk about fractions during snack time.
  • 31. Number and Operations 1 Understand numbers Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2. Talk about fractions during snack time.
  • 32. Number and Operations 1 Understand numbers Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2. Give non-examples.
  • 33. Number and Operations 1 We haven't even talked about adding yet!
  • 34. Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 35. Number and Operations 2 Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 36. Number and Operations 2 Understand meanings Understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations. Fact family 2+3 = 5 3+2 = 5 5-2 = 3 5-3 = 2
  • 37. Number and Operations 2 Understand meanings Understand the effects of adding and subtracting whole numbers. Adding
  • 38. Number and Operations 2 Understand meanings Understand the effects of adding and subtracting whole numbers. Subtracting
  • 39. Number and Operations 2 Understand meanings Understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally. Equal sets during snack.
  • 40. Number and Operations 2 Understand meanings Understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally. Equal sets for backpacks.
  • 41. Number and Operations 2 Understand meanings Understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally. Equal sets: number of students in the playhouse.
  • 42. Number and Operations 2 Make it relevant to them!
  • 43. Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 44. Number and Operations 3 Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute fluently and make reasonable estimates.
  • 45. Number and Operations 3 Compute Fluently Develop and use strategies for whole-number computations, with a focus on addition and subtraction. Teach a strategy: "I can move this counter to this compartment to help me count."
  • 46. Number and Operations 3 Compute Fluently Develop fluency with basic number combinations for addition and subtraction. Memorize it. (Don’t get lost in 5th grade.)
  • 47. Number and Operations 3 Compute Fluently Develop fluency with basic number combinations for addition and subtraction. Avoid math anxiety by developing a good foundation of the concept.
  • 48. Number and Operations 3 Compute Fluently Develop fluency with basic number combinations for addition and subtraction. Observe students in the classroom before you start lesson planning.
  • 49. Number and Operations 3 Compute Fluently Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators. Add this into your daily routine
  • 50. Number and Operations 3 Compute Fluently Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators. Practice estimating numbers, distance, & size
  • 51. Number and Operations 3 Compute Fluently Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators. Introduce calculators photo by Jason Toal
  • 52. Number and Operations 3 Compute Fluently Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators. Put numbers and rulers in writing center.
  • 53. Number and Operations 3 Compute Fluently Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators. Variety of manipulatives (many, many!)
  • 54. Number and Operations 3 It needs to make sense to them!

Editor's Notes

  1. Who is first in line? The order depends on direction (face the other way in line)
  2. •the last number I counted is how many I have altogether (1,2,3,4... I have 4 total)
  3. Y.C. Ch.2 Principles in teaching math
  4. Y.C. Ch.2 Principles in teaching math