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Building Strategies for Whole-Number Computation (Introducing…
Building Strategies for Whole-Number Computation
A Move to computational Fluency
"Number Talks"
Faster than the standard algorithm
Connecting + and - to Place-Value
Context
A. Little 10-Frame Sums
Three Types of computational Strategies
Invented Strategies
NO physical models or counting by 1s
Sometimes Mental Methods
Number oriented
flexibility
Left handed
Benefits
develops number sense
Basis for mental math and estimation
Less Reteaching
faster
Fewer Errors
important process of "doing math"
beneficial on MCAs
Standard Algorithms
Procedure as a process
NOT memorized steps
V. Equal Addition
Direct Modeling
Manipulatives
Idea of ten as a unit transitions into invented
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Development of Invented Strategies
Creating a Supportive Enviroment
Models to Support
Jump Strategy
Open Number LIne
A. Exploring Subtraction Strategies
Shortcut Strategy/ Compensation
Split Strategy/ Decomposition
Development of Invented Strategies for + and -
P+ double-digit numbers
Open Number Lines (F12.9)
A. Odd or Even
A. Just Adjust it
Subtraction as Think-Addition
A. How Far to my Number
P+ and - single-digit numbers
A, Crossing a Decade
Transition: + and - 10s and 100s
A. I am... Who is..
Take Away Subtraction
Crossing a Ten
Standard Algorithm for + and -
Addition
Begin with Models
Develop the Written Record
Subtraction
Begin with Models
Develop the Written Record
Anticiate difficulties with Zero
A. Tricky Trading
A. Pick your Strategy
Computational Estimation Strategies
Front End
and -
Adjustments
Rounding
A. Round Up?
Compatible Numbers
A. Box Math
Introducing Computational Estimation
Quantity Estimation
Computational Estimation
Measurement Estimation
Real Examples
Estimation Language
Context
Range
A. Is It Over or Under
Common Misconceptions
Relies on Key Words
Overgeneralizes "equal additions" "same difference"
subtracts the lesser digit from the greater
regrouping across 0
records entire sum of digits in each column
has to find an answer after estimation
Loses track of the value