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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

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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

Editor's Notes

  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