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
every other ____
patterns looks good--shirt, tie
patterns looks good--shirt, tie
guitar: every fret is 1/32 smaller
growing pattern
guitar: every fret is 1/32 smaller
growing pattern
guitar: every fret is 1/32 smaller
growing pattern
guitar: every fret is 1/32 smaller
growing pattern
guitar: every fret is 1/32 smaller
growing pattern
start with something tangible that interests them
eventually get rid of representation
start with something tangible that interests them
eventually get rid of representation
start with something tangible that interests them
eventually get rid of representation
start with something tangible that interests them
eventually get rid of representation
start with something tangible that interests them
eventually get rid of representation
start with something tangible that interests them
eventually get rid of representation
start with something tangible that interests them
eventually get rid of representation
now it makes sense
show Cindy’s NCTM game now
eventually get rid of representation
use real objects that students see at home
use real objects that students see at home
use real objects that students see at home
use real objects that students see at home
use real objects that students see at home
use real objects that students see at home
use real objects that students see at home
student's growing taller
quality… relative. bigger. description, not numeral