SlideShare una empresa de Scribd logo
1 de 26
NCTM Strands

Algebra
NCTM Strands

Number and Operations
Algebra
Geometry
Measurement
Data Analysis & Probability
NCTM Strands
                        Strand 2
Number and Operations
Algebra
Geometry
Measurement
Data Analysis & Probability
Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent and
understand quantitative relationships
Analyze change in various contexts
Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                        1
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                                    1
                              Understand patterns

Sort, classify, and order objects by size, number, and
other properties
Algebra
                                                 1
                                Understand patterns

Recognize, describe, and extend patterns such as
sequences of sounds and shapes or simple numeric
patterns and translate from one representation to
another
      Copy a pattern
      (vertical & horizontal)
Algebra
                                                1
                           Understand patterns

Recognize, describe, and extend patterns such as
sequences of sounds and shapes or simple numeric
patterns and translate from one representation to
another
      Extend a pattern
Algebra
                                                1
                           Understand patterns

Recognize, describe, and extend patterns such as
sequences of sounds and shapes or simple numeric
patterns and translate from one representation to
another
      Extend a pattern


               ACEGIKMO
Algebra
                                                1
                           Understand patterns

Recognize, describe, and extend patterns such as
sequences of sounds and shapes or simple numeric
patterns and translate from one representation to
another
      What role/function
      does it have?
Algebra
                                           1
                          Understand patterns

Analyze how both
repeating and growing
patterns are generated.
Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                        2
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                                   2
                            Represent & Analyze

Illustrate general principles and properties of
operations, such as commutativity, using specific
numbers.
Algebra
                                                   2
                            Represent & Analyze

Illustrate general principles and properties of
operations, such as commutativity, using specific
numbers.




          +            =             +
2 3                   4
  Algebra
                                           2
  6 7                    8Represent & Analyze
Use concrete, pictorial, and verbal representations to
develop an understanding of invented and
conventional symbolic notations.
Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                        3
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                             Use mathematical
                                                 3
                             quantities
Model situations that involve the addition and
subtraction of whole numbers, using objects,
pictures, and symbols.
Algebra
                             Use mathematical
                                                 3
                             quantities
Model situations that involve the addition and
subtraction of whole numbers, using objects,
pictures, and symbols.




 xxx
Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                        4
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts
Algebra
                                                           4
                            Analyze change

Describe qualitative change, such as a student's
growing taller




                                             photo by Dux Carvajal
Algebra
                                                4
                           Analyze change

Describe quantitative change,
such as a student's growing
two inches in one year.




                                            photo by
                                            Cat Sacdalan
Algebra
Understand patterns, relations, and
functions
Represent and analyze mathematical
situations and structures using algebraic
symbols
Use mathematical models to represent
and understand quantitative relationships
Analyze change in various contexts

Más contenido relacionado

La actualidad más candente

A gentle intruduction to category theory
A gentle intruduction to category theoryA gentle intruduction to category theory
A gentle intruduction to category theory
Jeff Jampa
 
Iipm chapter 1
Iipm chapter 1Iipm chapter 1
Iipm chapter 1
iipmff2
 

La actualidad más candente (19)

The entity relationship model
The entity relationship modelThe entity relationship model
The entity relationship model
 
Some alternative ways to find m ambiguous binary words corresponding to a par...
Some alternative ways to find m ambiguous binary words corresponding to a par...Some alternative ways to find m ambiguous binary words corresponding to a par...
Some alternative ways to find m ambiguous binary words corresponding to a par...
 
A gentle intruduction to category theory
A gentle intruduction to category theoryA gentle intruduction to category theory
A gentle intruduction to category theory
 
Entity relationship modelling
Entity relationship modellingEntity relationship modelling
Entity relationship modelling
 
Unit iv dbms
Unit   iv dbmsUnit   iv dbms
Unit iv dbms
 
Deep learning book_chap_02
Deep learning book_chap_02Deep learning book_chap_02
Deep learning book_chap_02
 
Translating Mathematical Phrases to Rational Algebraic Expressions
Translating Mathematical Phrases to Rational Algebraic ExpressionsTranslating Mathematical Phrases to Rational Algebraic Expressions
Translating Mathematical Phrases to Rational Algebraic Expressions
 
Application of HCR's Rank Formula on color property of articles
Application of HCR's Rank Formula on color property of articlesApplication of HCR's Rank Formula on color property of articles
Application of HCR's Rank Formula on color property of articles
 
Math project 1
Math project 1Math project 1
Math project 1
 
A study on fundamentals of refined intuitionistic fuzzy set with some properties
A study on fundamentals of refined intuitionistic fuzzy set with some propertiesA study on fundamentals of refined intuitionistic fuzzy set with some properties
A study on fundamentals of refined intuitionistic fuzzy set with some properties
 
Iipm chapter 1
Iipm chapter 1Iipm chapter 1
Iipm chapter 1
 
Er diagram
Er diagramEr diagram
Er diagram
 
Matematika terapan week 3. set
Matematika terapan week 3. set Matematika terapan week 3. set
Matematika terapan week 3. set
 
RDBMS ERD
RDBMS ERDRDBMS ERD
RDBMS ERD
 
Fuzzy logic
Fuzzy logicFuzzy logic
Fuzzy logic
 
Matematika terapan week 2. set
Matematika terapan week 2. set Matematika terapan week 2. set
Matematika terapan week 2. set
 
algebra and its concepts
algebra and its conceptsalgebra and its concepts
algebra and its concepts
 
Module For Mathematics
Module For Mathematics Module For Mathematics
Module For Mathematics
 
Bca3020– data base management system(dbms)
Bca3020– data base management system(dbms)Bca3020– data base management system(dbms)
Bca3020– data base management system(dbms)
 

Similar a NCTM Algebra

Ct state standards math critical areas document
Ct state standards math critical areas documentCt state standards math critical areas document
Ct state standards math critical areas document
Erin Bailey
 
Artifact 3 clemson
Artifact 3 clemsonArtifact 3 clemson
Artifact 3 clemson
clemsonj11
 
Math 2 Tuesday 6-21-11
Math 2 Tuesday 6-21-11Math 2 Tuesday 6-21-11
Math 2 Tuesday 6-21-11
Andrea Wilson
 
Introductory_Algebra_1B_-_course_standards
Introductory_Algebra_1B_-_course_standardsIntroductory_Algebra_1B_-_course_standards
Introductory_Algebra_1B_-_course_standards
mlynczyk
 
Artifact3 allen
Artifact3 allenArtifact3 allen
Artifact3 allen
allent07
 
Artifact3 allen
Artifact3 allenArtifact3 allen
Artifact3 allen
allent07
 
Artifact3 allen
Artifact3 allenArtifact3 allen
Artifact3 allen
allent07
 
 Igcse mathematics additional standards
 Igcse   mathematics additional standards Igcse   mathematics additional standards
 Igcse mathematics additional standards
Ross
 

Similar a NCTM Algebra (20)

Midterm Study Guide NCTM Standards
Midterm Study Guide NCTM StandardsMidterm Study Guide NCTM Standards
Midterm Study Guide NCTM Standards
 
NCTM Geometry
NCTM GeometryNCTM Geometry
NCTM Geometry
 
Show 1
Show 1Show 1
Show 1
 
Ct state standards math critical areas document
Ct state standards math critical areas documentCt state standards math critical areas document
Ct state standards math critical areas document
 
Show 1
Show 1Show 1
Show 1
 
Math2: Monday 6-20-11
Math2: Monday 6-20-11Math2: Monday 6-20-11
Math2: Monday 6-20-11
 
Artifact 3 clemson
Artifact 3 clemsonArtifact 3 clemson
Artifact 3 clemson
 
Math 2 Tuesday 6-21-11
Math 2 Tuesday 6-21-11Math 2 Tuesday 6-21-11
Math 2 Tuesday 6-21-11
 
Introductory_Algebra_1B_-_course_standards
Introductory_Algebra_1B_-_course_standardsIntroductory_Algebra_1B_-_course_standards
Introductory_Algebra_1B_-_course_standards
 
Tut2
Tut2Tut2
Tut2
 
Final study guide NCTM standards
Final study guide NCTM standardsFinal study guide NCTM standards
Final study guide NCTM standards
 
Artifact3 allen
Artifact3 allenArtifact3 allen
Artifact3 allen
 
Artifact3 allen
Artifact3 allenArtifact3 allen
Artifact3 allen
 
Artifact3 allen
Artifact3 allenArtifact3 allen
Artifact3 allen
 
Math Instruction and the Common Core--How to help your students Master the Co...
Math Instruction and the Common Core--How to help your students Master the Co...Math Instruction and the Common Core--How to help your students Master the Co...
Math Instruction and the Common Core--How to help your students Master the Co...
 
 Igcse mathematics additional standards
 Igcse   mathematics additional standards Igcse   mathematics additional standards
 Igcse mathematics additional standards
 
presentation.pdf bnksjqwjkwlsjoilhsnwososh
presentation.pdf bnksjqwjkwlsjoilhsnwososhpresentation.pdf bnksjqwjkwlsjoilhsnwososh
presentation.pdf bnksjqwjkwlsjoilhsnwososh
 
Math2: Monday 6-20-11
Math2: Monday 6-20-11Math2: Monday 6-20-11
Math2: Monday 6-20-11
 
The Nature of Mathematics.pdf
The Nature of Mathematics.pdfThe Nature of Mathematics.pdf
The Nature of Mathematics.pdf
 
What is discrete mathematics
What is discrete mathematicsWhat is discrete mathematics
What is discrete mathematics
 

Más de Bill

ibooks author
ibooks authoribooks author
ibooks author
Bill
 
Twitter Changed My Life
Twitter Changed My LifeTwitter Changed My Life
Twitter Changed My Life
Bill
 
Instantly Usable Video
Instantly Usable VideoInstantly Usable Video
Instantly Usable Video
Bill
 
Final exam review
Final exam reviewFinal exam review
Final exam review
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
 
515 Agenda 2
515 Agenda 2515 Agenda 2
515 Agenda 2
Bill
 

Más de 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 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
 
8 Measurement
8 Measurement8 Measurement
8 Measurement
 
515 Agenda 2
515 Agenda 2515 Agenda 2
515 Agenda 2
 
NCTM Number and Operations
NCTM Number and OperationsNCTM Number and Operations
NCTM Number and Operations
 
The Design Process
The Design ProcessThe Design Process
The Design Process
 
Instantly Usable Video
Instantly Usable VideoInstantly Usable Video
Instantly Usable Video
 
Wiki
WikiWiki
Wiki
 

Último

Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdfVishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
ssuserdda66b
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
ZurliaSoop
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
KarakKing
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 

Último (20)

Single or Multiple melodic lines structure
Single or Multiple melodic lines structureSingle or Multiple melodic lines structure
Single or Multiple melodic lines structure
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdfVishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Google Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxGoogle Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptx
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 

NCTM Algebra

  • 2. NCTM Strands Number and Operations Algebra Geometry Measurement Data Analysis & Probability
  • 3. NCTM Strands Strand 2 Number and Operations Algebra Geometry Measurement Data Analysis & Probability
  • 4. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 5. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 6. Algebra 1 Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 7. Algebra 1 Understand patterns Sort, classify, and order objects by size, number, and other properties
  • 8. Algebra 1 Understand patterns Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another Copy a pattern (vertical & horizontal)
  • 9. Algebra 1 Understand patterns Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another Extend a pattern
  • 10. Algebra 1 Understand patterns Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another Extend a pattern ACEGIKMO
  • 11. Algebra 1 Understand patterns Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another What role/function does it have?
  • 12. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
  • 13. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 14. Algebra 2 Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 15. Algebra 2 Represent & Analyze Illustrate general principles and properties of operations, such as commutativity, using specific numbers.
  • 16. Algebra 2 Represent & Analyze Illustrate general principles and properties of operations, such as commutativity, using specific numbers. + = +
  • 17. 2 3 4 Algebra 2 6 7 8Represent & Analyze Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations.
  • 18. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 19. Algebra 3 Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 20. Algebra Use mathematical 3 quantities Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.
  • 21. Algebra Use mathematical 3 quantities Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols. xxx
  • 22. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 23. Algebra 4 Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
  • 24. Algebra 4 Analyze change Describe qualitative change, such as a student's growing taller photo by Dux Carvajal
  • 25. Algebra 4 Analyze change Describe quantitative change, such as a student's growing two inches in one year. photo by Cat Sacdalan
  • 26. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts

Notas del editor

  1. every other ____
  2. patterns looks good--shirt, tie
  3. patterns looks good--shirt, tie
  4. guitar: every fret is 1/32 smaller growing pattern
  5. guitar: every fret is 1/32 smaller growing pattern
  6. guitar: every fret is 1/32 smaller growing pattern
  7. guitar: every fret is 1/32 smaller growing pattern
  8. guitar: every fret is 1/32 smaller growing pattern
  9. start with something tangible that interests them eventually get rid of representation
  10. start with something tangible that interests them eventually get rid of representation
  11. start with something tangible that interests them eventually get rid of representation
  12. start with something tangible that interests them eventually get rid of representation
  13. start with something tangible that interests them eventually get rid of representation
  14. start with something tangible that interests them eventually get rid of representation
  15. start with something tangible that interests them eventually get rid of representation
  16. now it makes sense
  17. show Cindy’s NCTM game now eventually get rid of representation
  18. use real objects that students see at home
  19. use real objects that students see at home
  20. use real objects that students see at home
  21. use real objects that students see at home
  22. use real objects that students see at home
  23. use real objects that students see at home
  24. use real objects that students see at home
  25. student's growing taller quality… relative. bigger. description, not numeral
  26. specific, precise, with numerals