components of the course of study & high school course progressions regional inservice center...
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2010 Alabama Course of Study: Mathematics
College- and Career-Ready Standards
Components of the Course of Study & High School Course ProgressionsRegional Inservice Center
Summer 2011
Components of the Course of Study
Goal
Domains of Study
Position Statements
Standards for Mathematical Practice
Conceptual Categories
Preface Acknowledgments General Introduction Conceptual Framework Position Statements
◦ Equity◦ Curriculum◦ Teaching◦ Learning◦ Assessment◦ Technology
Standards for Mathematical Practice
Components of the Course of Study
Directions for Interpreting the Minimum Required Content
GRADE 4
Students will:
Components of the Course of Study
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
ALGEBRA II WITH TRIGONOMETRY
Students will:
FUNCTIONS
Components of the Course of Study
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
Components of the Course of Study
Components of the Course of Study
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
Components of the Course of Study
(+) 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]
Components of the Course of Study
(+)
(*) Modeling Standards
Algebra I
28. Relate the domain of a function to itsgraph and, where applicable, to the quantitative relationship it describes. [F-IF5]
Components of the Course of Study
*
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.
Components of the Course of Study
Components of the Course of Study
•Description of Standards
•Relation to K-8 Content
•Content Progression in 9-12
Components of the Course of Study
•Narrative
•Domains and Clusters
•Standards for Mathematical Practice
Components of the Course of Study
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
Components of the Course of Study
High School Course Progressions
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
High School Course Pathways
?? Questions ??
Contact Information
ALSDE Office of Student LearningCurriculum and Instruction
Cindy Freeman, Mathematics Specialist Phone: 334.353.5321
E-mail: [email protected]