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Components of the Course of Study & High School Course Progressions Regional Inservice Center Summer 2011

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Goal Domains of Study Position Statements Standards for Mathematical Practice Conceptual Categories

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Preface Acknowledgments General Introduction Conceptual Framework Position Statements Equity Curriculum Teaching Learning Assessment Technology Standards for Mathematical Practice

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Directions for Interpreting the Minimum Required Content GRADE 4 Students will: Number and Operations in Base Ten Generalize place value understanding for multi-digit whole numbers. 6. Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. [4-NBT1] 7. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meaning of the digits in each place using >, =, and < symbols to record the results of comparisons. [4-NBT2] 8. Use place value understanding to round multi-digit whole numbers to any place. [4-NBT3] Cluster Content Standards Content Standard Identifiers Domain

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ALGEBRA II WITH TRIGONOMETRY Students will: FUNCTIONS Trigonometric Functions Extend the domain of trigonometric functions using the unit circle. 32. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. [F-TF1] 33. Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. [F-TF2] 34.Define the six trigonometric functions using ratios of the sides of a right triangle, coordinates on the unit circle, and the reciprocal of other functions. Content Standards Cluster Domain Content Standard Identifiers Conceptual Category

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Standards for High School Mathematics Conceptual Categories for High School Mathematics Number and Quantity Algebra Functions Modeling Geometry Statistics and Probability Additional Coding (+) STEM Standards (*) Modeling Standards ( ) Alabama Added Content

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(+) STEM Standards Geometry 22. Derive the formula A = (1/2)ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. [G-SRT9] (+)

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(*) Modeling Standards Algebra I 28.Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. [F-IF5] *

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Added Content Specific to Alabama Geometry 35. Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics.

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Description of Standards Relation to K-8 Content Content Progression in 9-12

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Narrative Domains and Clusters Standards for Mathematical Practice

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Appendices A-E Appendix A Table 1: Common Addition and Subtraction Situations Table 2: Common Multiplication and Division Situations Table 3: Properties of Operations Table 4: Properties of Equality Table 5: Properties of Inequality Appendix B Possible Course Progressions in Grades 9-12 Possible Course Pathways Appendix C Literacy Standards For Grades 6-12 History/Social Studies, Science, and Technical Subjects Appendix D Alabama High School Graduation Requirements Appendix E Guidelines and Suggestions for Local Time Requirements and Homework Bibliography Glossary

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Required for All Students Algebra I Geometry Algebra II with Trigonometry or Algebra II Courses Must Increase in Rigor New Courses Discrete Mathematics Mathematical Investigations Analytical Mathematics

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ALSDE Office of Student Learning Curriculum and Instruction Cindy Freeman, Mathematics Specialist Phone: 334.353.5321 E-mail: cfreeman@alsde.educfreeman@alsde.edu

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