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This information has been taken directly from the Accelerate U - Standards and Resource Guides (with approval) from the K-12 Education,  NEW YORK STATE EDUCATION DEPARTMENT site. No information in this document has been changed.

Learning Standards for Mathematics, Science, and Technology at Three Levels

Standard 3:
     Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.

Mathematical Reasoning

1. Students use mathematical reasoning to analyze mathematical situations, make conjectures,
gather evidence, and construct an argument.

Students:

     use models, facts, and relationships to draw conclusions about mathematics and explain
     their thinking.
     use patterns and relationships to analyze mathematical situations.
     justify their answers and solution processes.
     use logical reasoning to reach simple conclusions.

This is evident, for example, when students:

     build geometric figures out of straws.
     find patterns in sequences of numbers, such as the triangular numbers 1, 3, 6, 10, . . . .
     explore number relationships with a calculator (e.g., 12 + 6 = 18, 11 + 7 = 18, etc.) and
     draw conclusions.


©2008 Byram Hills Central School District
Armonk, NY
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