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# NCTM Algebra

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Week 5 of http://www.billselak.com/educ448 . Aligned to NCTM's Algebra strand.

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• 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
eventually get rid of representation
eventually get rid of representation
eventually get rid of representation
eventually get rid of representation
eventually get rid of representation
eventually get rid of representation
eventually get rid of representation
• now it makes sense
• show Cindy&amp;#x2019;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&apos;s growing taller
quality&amp;#x2026; relative. bigger. description, not numeral
• specific, precise, with numerals
• ### NCTM Algebra

1. 1. NCTM Strands Algebra
2. 2. NCTM Strands Number and Operations Algebra Geometry Measurement Data Analysis & Probability
3. 3. NCTM Strands Strand 2 Number and Operations Algebra Geometry Measurement Data Analysis & Probability
4. 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. 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. 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. 7. Algebra 1 Understand patterns Sort, classify, and order objects by size, number, and other properties
8. 8. Algebra 1 Understand patterns Sort, classify, and order objects by size, number, and other properties
9. 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 Copy a pattern (vertical & horizontal)
10. 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
11. 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 Extend a pattern ACEGIKMO
12. 12. 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?
13. 13. 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?
14. 14. 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?
15. 15. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
16. 16. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
17. 17. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
18. 18. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
19. 19. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
20. 20. Algebra 1 Understand patterns Analyze how both repeating and growing patterns are generated.
21. 21. 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
22. 22. 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
23. 23. Algebra 2 Represent & Analyze Illustrate general principles and properties of operations, such as commutativity, using speciﬁc numbers.
24. 24. Algebra 2 Represent & Analyze Illustrate general principles and properties of operations, such as commutativity, using speciﬁc numbers. + = +
25. 25. Algebra 2 Represent & Analyze Illustrate general principles and properties of operations, such as commutativity, using speciﬁc numbers. 1 + 3 = 3 + 1
26. 26. 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.
27. 27. 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. 2 4
28. 28. Algebra 2 Represent & Analyze Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations. 2 <4
29. 29. 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
30. 30. 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
31. 31. Algebra Use mathematical 3 quantities Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.
32. 32. Algebra Use mathematical 3 quantities Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols. xxx
33. 33. 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
34. 34. 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
35. 35. Algebra 4 Analyze change Describe qualitative change photo by Dux Carvajal
36. 36. Algebra 4 Analyze change Describe quantitative change, such as a student's growing two inches in one year. photo by Cat Sacdalan
37. 37. 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