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Components of Number Sense Overview Unit 4
What’s the “Big Idea”? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How does this fit with the NCTM? ,[object Object],[object Object],[object Object],[object Object]
NCTM Strands Without Number Sense Number & Operations Measurement Geometry Data Analysis and Probability Algebra
NCTM Strands With Number Sense Number & Operations Measurement Geometry Data Analysis and Probability Algebra
[object Object],[object Object],[object Object],Components of Number Sense
Quantity and Magnitude
Numeration
Equality
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Base Ten
* Table taken from Binary Number Systems, 2007 Total 654.52 Total 654.52 0.02 0.5 4 50 600 Weighted Value   2 5 4 5 6 Digits   10 -2 10 -1 10 0 10 1 10 2 Weights   One hundredth One tenth Units Tens Hundreds
Form of a  Number
“ Arithmetic in American Mathematics Education” ,[object Object],[object Object],[object Object],[object Object]
Proportional  Reasoning
Geometric and Algebraic  Thinking
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Numeration Quantity/ Magnitude Base Ten Equality Form of a Number Proportional  Reasoning Algebraic and Geometric Thinking Components of Number Sense
Analyze the Lesson!  ,[object Object]
Story One ,[object Object],[object Object]
Story Two ,[object Object],[object Object],[object Object]
Just Do It!
Language and Math Language ,[object Object],[object Object]
Numeration Quantity/ Magnitude Base Ten Equality Form of a Number Proportional  Reasoning Algebraic and Geometric Thinking Components of Number Sense  ©  2007 Cain/Doggett/Faulkner/Hale/NCDPI Language
We have to teach math like we teach reading! ,[object Object],[object Object],[object Object]
 
 
 
 
 
 
Two stories ,[object Object],[object Object],[object Object],[object Object]
Set 2   WCPSS Middle School Remedial Warm-ups Wake County Public School System/Valerie Faulkner  [email_address] © 2006 Valerie N. Faulkner/Wake County Public School System
Trashketball The Power to Understanding Percents, Fractions and Decimals
Let’s Try It! ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Trashketball Procedures ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Trashketball Stats Group Name  _____________ Group Members:  1._________,(2)________,(3) _________(4) __________ ,[object Object],[object Object],  Shots taken: Make or Miss:  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Total made/Total taken  _______/20  Decimal _____  Percentage_____
What was our percent? ,[object Object],___ / ___
How Do We Represent the Money Problem Story One? ,[object Object],___ / ___ 1 Dime 7 Nickels
Trashketball Stats for Story Two Group Name  _____________ Group Members:  1._________,(2)________,(3) _________(4) __________ ,[object Object],[object Object],  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
100s Grids for Story Two ,[object Object],___ / 10 ___ / 20
How Did the Team Do Altogether Story Two? ,[object Object],___ / ___
How can the  Quantity  and its connections to the  Math Structure   provide understanding for the  Symbolic ?
What Do We Ask? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Trashketball Stats Group Name  _____________ Team Members:  1._______,(2)_______,(3)________,(4)________   ,[object Object],[object Object],  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
___5/ 8 ___7/ 14 ___7/ 11 ____7/ 16 PICTURE IT!
Bobcats Stats!   A coach can choose any one player to shoot “technical fouls.” If you were the assistant coach of the Bobcats and your team had to shoot technical fouls, who would you suggest to the head coach to shoot the foul shots and why?
Bobcats Stats
Numeration Quantity/ Magnitude Base Ten Equality Form of a Number Proportional  Reasoning Algebraic and Geometric Thinking Components of Number Sense  ©  2007 Cain/Doggett/Faulkner/Hale/NCDPI Language
It is all about the language--- ,[object Object],[object Object],[object Object]
Assignments for Units 3 and 4 ,[object Object],[object Object],[object Object]

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Understanding Number Sense Through Its Core Components

  • 1. Components of Number Sense Overview Unit 4
  • 2.
  • 3.
  • 4. NCTM Strands Without Number Sense Number & Operations Measurement Geometry Data Analysis and Probability Algebra
  • 5. NCTM Strands With Number Sense Number & Operations Measurement Geometry Data Analysis and Probability Algebra
  • 6.
  • 10.
  • 12. * Table taken from Binary Number Systems, 2007 Total 654.52 Total 654.52 0.02 0.5 4 50 600 Weighted Value   2 5 4 5 6 Digits   10 -2 10 -1 10 0 10 1 10 2 Weights   One hundredth One tenth Units Tens Hundreds
  • 13. Form of a Number
  • 14.
  • 17.
  • 18. Numeration Quantity/ Magnitude Base Ten Equality Form of a Number Proportional Reasoning Algebraic and Geometric Thinking Components of Number Sense
  • 19.
  • 20.
  • 21.
  • 23.
  • 24. Numeration Quantity/ Magnitude Base Ten Equality Form of a Number Proportional Reasoning Algebraic and Geometric Thinking Components of Number Sense © 2007 Cain/Doggett/Faulkner/Hale/NCDPI Language
  • 25.
  • 26.  
  • 27.  
  • 28.  
  • 29.  
  • 30.  
  • 31.  
  • 32.
  • 33. Set 2 WCPSS Middle School Remedial Warm-ups Wake County Public School System/Valerie Faulkner [email_address] © 2006 Valerie N. Faulkner/Wake County Public School System
  • 34. Trashketball The Power to Understanding Percents, Fractions and Decimals
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40.
  • 41.
  • 42.
  • 43. How can the Quantity and its connections to the Math Structure provide understanding for the Symbolic ?
  • 44.
  • 45.
  • 46. ___5/ 8 ___7/ 14 ___7/ 11 ____7/ 16 PICTURE IT!
  • 47. Bobcats Stats! A coach can choose any one player to shoot “technical fouls.” If you were the assistant coach of the Bobcats and your team had to shoot technical fouls, who would you suggest to the head coach to shoot the foul shots and why?
  • 49. Numeration Quantity/ Magnitude Base Ten Equality Form of a Number Proportional Reasoning Algebraic and Geometric Thinking Components of Number Sense © 2007 Cain/Doggett/Faulkner/Hale/NCDPI Language
  • 50.
  • 51.