2010 Alabama Course of Study: Mathematics College- and Career-Ready Standards Professional Development: Grades 9 – 12 I Regional Center 1

Components of the Course of Study Goal Domains of Study Position Statements Standards for Mathematical Practice Conceptual Categories 2

Before we look at high school, look at the mathematical foundation for students in K – 8 Mathematics Domains of Study 3

The Big Picture K-2 Number and number sense. 3-5 Operations and Properties (Number and Geometry) Fractions 6-8 Algebraic and Geometric Thinking Data Analysis and using Properties High School Functions, Statistics, Modeling and Proo f 4

Grades 6-8 Pages Geometry Ratios and Proportional Reasoning The Number System Expressions and Equations Statistics and Probability Functions 5

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 Pages 66 – 125 6

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 Pages 126 – 146 7

High School Course Progressions Appendix B: Page 129  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 8

High School Course Pathways Page 130 9

Alabama High School Graduation Requirements Page

“These standards are designed to supplement students’ learning of the mathematical standards by helping them meet the challenges of reading, writing, speaking, listening, and language in the field of mathematics.” APPENDIX C Literacy Standards for Grades 6 – 12 History/Social Studies, Science and Technical Subjects 11

Layout of the Literacy Standards Appendix C p. 131 College and Career Readiness Anchor Standards for Reading p. 132 Reading Standards for Literacy in History/Social Studies 6-12 p. 133 Reading Standards for Science and Technical Subjects 6-12 p. 134 College and Career Readiness Anchor Standards for Writing p. 135 Writing Standards for Literacy in History/Social Studies, Science and Technical Subjects grades 6-12 (through p. 134) 12

Snapshot View Notice that the ten reading standards are in grade spans A great layout to assist teachers in differentiating instruction! 13

14

15

16

Teacher/Teacher Leader Notes Is the student’s mathematical logic correct? Can they describe errors found in others’ mathematical thinking? Activities like this may be used as a bell ringer (sparking discussion prior to a lesson), as part of the lesson, or as an exit slip to assess understanding. It is important that the responses are assessed by the teacher through grading or discussion. Teacher/Teacher Leader Notes Is the student’s mathematical logic correct? Can they describe errors found in others’ mathematical thinking? Activities like this may be used as a bell ringer (sparking discussion prior to a lesson), as part of the lesson, or as an exit slip to assess understanding. It is important that the responses are assessed by the teacher through grading or discussion. 17

Final Thought: The Literacy Standards allow Flexibility in Reading and Writing 18

Building Pyramids with Cubes Navigating through Measurement in Grades

What is the focus of this activity? Course(s) (MS p , HS p. 81 – 125)? Content Standard(s) (MS p , HS p. 81 – 125)? Literacy Standard(s) (p. 131 – 137)? Mathematical Practice Standard(s) (p. 6 – 9)? 20

Focus in High School Mathematics Reasoning and Sense Making Geometry National Council of Teachers of Mathematics “This volume is one of a series of books that support NCTM’s Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for ensuring that reasoning and sense making are part of the mathematics experiences of all high school students every day.” 21

Read pages Course? Content Standard(s)? Literacy Standard(s)? Mathematical Practice Standard(s)? What was the role of the teacher in this activity? How did the teacher use questioning? What was the role of the student in this activity? How did the students use reflection in this activity? Would you change it in anyway? How would you use the Focus series? 22

Staircase Problem 23

What is the focus of this activity? Course(s) (MS p , HS p. 81 – 125)? Content Standard(s) (MS p , HS p. 81 – 125)? Literacy Standard(s) (p. 131 – 137)? Mathematical Practice Standard(s) (p. 6 – 9)? 24

Reflection What will you take back to your colleagues? What are your next steps? Write down three ideas to continue your study of the 2010 ACOS. 25