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CHAPTER 10: DEVLEOPING WHOLE-NUMBER PLACE-VALUE CONCEPTS (IMPORTANT PLACE…
CHAPTER 10: DEVLEOPING WHOLE-NUMBER PLACE-VALUE CONCEPTS
EXTENDING NUMBER RELATIONSHIPS TO LARGER NUMBERS
Little ten frame
Part- part - whole Relationships
can count up to answer
Relative magnitude
the size relationship one number has with another
Smaller, larger, same ?
Connections to Real World Ideas
look for numbers around school
measurmants of things at hom
What to do with these numbers
Approximate Numbers and Rounding
GRADE 3
Flexible and conceptual
numberline with bench marks
IMPORTANT PLACE-VALUE CONCEPTS
Intergration of Base-Ten Grouping with Counting by ones
group numbers
I.E. 53 can be count by ones or 5 groups of 10 and 3 ones
Intergration of Base-Ten groupings with Words
SAY: five tens and three ones
Integration of Base-Ten Grouping with Place-Value Notation
Matches the individual digits as the numbers is writen
Left to right
Base- Ten Models
Physical models
Groupable Models
Models that reflect the relationships of ones tens and hundreds are thos for which the ten can actually be made or grouped
Pregrouped Models
shown in text books and are often used in instructional activies
Can not be taken apart
Nonproportional Models
the ten is not physically tin times larger than one
EXTENDING BASE-TEN CONCEPTS
Grouping hundereds to make 1000
Equivalent Representations
EXAMPLE: What is anotherway you can show 1478 besides 1 group of a thousand 4 groups of a hundred, 7 tens and 8 singles? Lets see how many ways you can find?
ORAL AND WRITEN NAMES FOR NUMBERS
Three- Digit number names
show 438
change one number
Written Symbols
Place Value Cards
Place Value map
PATTERNS AND RELATIONSHIPS WITH MULTIDIGIT NUMBERS
The Hundreds Chart
Exploring patterns
Relationships with benchmark Numbers
Familiar numbers
NUMBERS BEYOND 1000
Place value has to be carefully developed
Extending the place value system
Multiplicative structure of the numbersystem should be generalized
10 in anyposition makes a single thing in the next
oral and written patterns for numbers in three digits are duplicated in a clever way
what comes next conversation
Conceptualizing Large Numbers
hard for students to translate quantites of small squars into quantities of other items