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Using Connections Courses in CCSS Classrooms Bob Petersen and Sarah Maile

CPM Educational Program 2011 National Conference Teaching in the Era of Common Core State Standards. Using Connections Courses in CCSS Classrooms Bob Petersen and Sarah Maile. Components of the CCSS. Focus Content Strands Mathematical Practices ( Pages 6-8) High School Traditional Pathways.

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Using Connections Courses in CCSS Classrooms Bob Petersen and Sarah Maile

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  1. CPM Educational Program2011 National ConferenceTeaching in the Era of Common Core State Standards Using Connections Courses in CCSS Classrooms Bob Petersen and Sarah Maile

  2. Components of the CCSS • Focus Content Strands • Mathematical Practices (Pages 6-8) • High School Traditional Pathways • CCSS Math Standards: http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf

  3. Focus Content Strands - Grade 6 • Ratios and Proportional Relationships • The Number System • Expressions and Equations • Geometry • Statistics and Probability

  4. Focus Content Strands - Grade 7 • Ratios and Proportional Relationships • The Number System • Expressions and Equations • Geometry • Statistics and Probability

  5. Focus Content Strands - Grade 8 • The Number System • Expressions and Equations • Functions • Geometry • Statistics and Probability

  6. Focus Content Strands - High School • Number and Quantity • Algebra • Functions • Modeling* • Geometry • Statistics and Probability

  7. Mathematical Practices • Make sense of problems and persevere in solving them • Reason abstractly and quantitatively • Construct viable arguments and critique the reasoning of others • Model with mathematics • Use appropriate tools strategically • Attend to precision • Look for and make sense of structure • Look for and express regularity in repeated reasoning

  8. Math Practices Sense Reason Construct Arguments Model Use Tools Precision Structure Repeated Reasoning CPM Ways of Thinking AC GC MC1 • Justifying • Generalizing • Making Connections • Reversing Thinking • Applying and Extending • Investigating • Examining • Visualizing • Reasoning and Justifying • Choosing a Strategy/Tool • Comparing • Visualizing • Making Connections • Describing and Explaining • Sense Making

  9. High School Traditional Pathways • High School Course topics determined by Appendix A, pages 8-15: • http://www.corestandards.org/assets/CCSSI_Mathematics_Appendix_A.pdf

  10. Before you begin • Decide what CCSS your students will be working towards mastering

  11. Significant ChangesBased on MC1 (Grade 6) • Fractions emphasized in 5th grade • Emphasis on fluency with decimals and long division • Inequalities and absolute value added • Operations with negatives begin in 7th grade • Probability is only in 7th grade

  12. Significant ChangesBased on MC2 (Grade 7) • Angle relationships added • More statistics (drawing inferences and simulations) • Probability is only in Grade 7 • Area of polygons moved to Grade 6 • Moved to Grade 8: • Transformations • Scatterplots and linear functions • Systems of equations • Similar shapes • Pythagorean theorem and square root

  13. Significant ChangesBased on MC2 and AC(Grade 8) • From AC (Chapters 1-4) • Solving multi-step equations • Graphing • Linear rules • From MC2 • Rigid Transformations • Scatterplots and linear rules • Solving multi-step equations • Slope • Solving systems of equations • Pythagorean theorem and square root • Exponents • Volume of cylinders and cones • Non-linear growth • From CCSS Supplements • Real numbers • Angle relationships with parallel lines • Volume of a Sphere • Stats: Two-way tables

  14. Significant Changes Based on AC • Chapters 1-4 now meet Grade 8 standards • Sequences added (from A2C) • Exponential functions (without logs) added (from A2C) • Rational expressions removed (to A2C) • Statistics added

  15. Significant Changes Based on GC • Moved to grades 6-8 • Area • Probability • Pythagorean theorem and square roots • Added conditional probability and counting methods (from A2C) • Added focus of proof by similarity

  16. Significant Changes Based on A2C • Sequences removed (to AC) • Exponential functions (without logs) removed (to AC) • Rational expressions added (from AC) • 3-D graphs and systems removed • Matrices removed • Probability and counting removed (to GC) • Conic sections (ellipses and hyperbolas) removed • Analytic trigonometry removed • Rates of change added (from PC) • Stats: Normal distributions and sampling added

  17. What you will need • CPM Text Book • Suggested Scope and Sequence document http://www.cpm.org/teachers/CCSSM_TOC.htm • CCSS Supplements http://www.cpm.org/teachers/CCSSM_Supplements.htm

  18. Other Helpful Materials • CPM Content Correlations http://www.cpm.org/teachers/CCSSM_Correlations.htm • Examples of Mathematical Practices in CPM texts http://www.cpm.org/teachers/CCSSM_Practices.htm

  19. Notes • Supplemental lessons do not have “Review and Preview” • Some have “Additional Problems” on the topic being covered • Use the CPM textbook for “Review and Preview” problems

  20. Statistics and Probability Resource • All statistics lessons can also be found in the CPM Statistics and Probability Resource (SPR) • Many (high school) statistics lessons require the use of a graphing calculator • Calculator instructions are in the Appendix of the SPR (and not in the CCSS Supplements) • Math Notes boxes are after each lesson • Also covers all NCTM standards

  21. Statistics and Probability Resource • Unit 1: Describing One-Variable Data - Grade 6 • Unit 2: Comparing One-Variable Samples - Grade 7 • Unit 3: Elementary Probability - Grade 7 • Unit 4: Describing Two-Variable Data - Grade 8 • Unit 5: Modeling One-Variable Data - AC and A2C

  22. Statistics and Probability Resource • Unit 6: Data Collection - A2C • Unit 7: Modeling Two-Variable Data - AC • Unit 8: Sample-to-Sample Variability - A2C • Unit 9: Probability Models - GC • Unit 10: Counting and Probability - GC

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