References

RESOURCES
1. [] This is the state secondary math page. There you will find many resources including a copy of the Common Core International Pathway. Go to the resource menu on the left hand side of the page. 2. [] The FREE worksheets give you an excellent bank of problems. 3. [] Glencoe has made copies of their workbooks available to all teachers. You do NOT need a password. Select your state, mark teacher, select mathematics, and enter. Print the pages you need. There is a wealth of resources for you to use. 4. [] 5. The best source for Worthwhile Tasks are the NCTM Journals. If you are not a member of NCTM, you should be. [|http://www.nctm.org] 6. **Orchestrating Productive Mathematical Discussions: Five Practices for Helping Teachers Move Beyond Show and Tell.** (an article about inquiry) [] 7. **Open-Ended Math Problems**. These are identified as being Middle-school problems, however, they could be adapted for high school. They are divided into topics: Number theory, measurement, geometry, patterns, algebra and functions, and Data, statistics, and probability. [] 8. **Open-ended Assessment in Math**. A searchable collection of 450 + Questions. Includes How to Create Open-ended questions from close-ended problems. Rubrics. **__Fee $14__** [] 9. **Open-ended Math Questions**. PDF document with answers. [] 10. **An Introduction to Arithmetic and Geometric Sequences.** This is an interactive lesson with all the worksheets and questions prepared for you. It is only 1 of many lessons on many topics at this site. [] 11. [] Lesson Files on many Secondary 1 topics including the Practice Standards. Once you access the site, select //“Experiencing Math Lessons.”// These are documents and will download on your computer rather than open a window. My favorite is **Exploring Exponential Functions Using Iterative Fractals.** This is a Geometer’s Sketchpad Lesson with each step spelled out including snapshots of the sketchpad screen. (Just google the title. When you choose it, the lesson will download.) 12. **INSIDE MATHEMATICS.** Wonderful professional development site. It has the MARS questions from previous years for all grades., samples of student work and an analysis of that work. Included are teacher notes and reflections. It also has videos of good teachers in the classroom implementing rich tasks and conducting discourse. Supports implementation of the Common Core Standards. [|Http://www.insidemathematics.org] 13. **College Preparatory Mathematics** [] 14. University of Chicago School Mathematics Project (UCSMP) __ [] __  15. Consortium for Mathematics and Its Applications (COMAP) __ [] __ ( --> I like the book addressing the CCSS Modeling Standard.)  16. Interactive Mathematics Project (IMP) __ [] __  17. Core-Plus Mathematics __ [] __  18. SIMMS Integrated Mathematics __ [] __
 * ILLUMINATIONS** is a FREE site produced by NCTM. It includes applets, lesson plans, worksheets, activities, and web resources. One of the Applets allows students to explore vector addition. (Honors Secondary 1 )

**Journal Articles from NCTM (free if you’re a member)**

“All Shades Are the Right Shade (Mathematical Explorations)” by Stephanie S. Reilly. //Mathematics Teaching in the Middle School.// August 2010. (systems of equations) “All These Rays, What’s the Point?” by Sally K. Roberts and Carla Tayeh. //Mathematics Teaching in the Middle School//. March 2011 “Building Explicit and Recursive Forms of Patterns with the FUNCTION GAME” by Rheta N. Rubenstein. //Mathematics Teacher.// April 2002. “Collaborative Teacher Inquiry through the Use of Rich Mathematics Tasks.” by Greta Bornemann, Scott M. Haury, and David Slavit. //Mathematics Teacher//, March 2009. “Critical Juncture Ahead! Proceed with Caution to Introduce the Concept of Functions” by Gregorio Ponce. //Mathematics Teacher.// September 2007. “Designing a Webquest” by Annette R. Salsovic. //Mathematics Teacher.// May 2009. “Developing Mathematical Power by Using Explicit and Recursive Reasoning” by John K. Lannin. //Mathematics Teacher//. November 2004. “Inquiry-Discourse Mathematics Instruction” by Azita Manouchehri. //Mathematics Teacher,// November 2007 “Interactive Geometry in the B.C. (before computers) Era” by Heather Whittaker and Iris DeLoach Johnson. //Mathematics Teacher,// October 2005. “Investigating Students’ Thinking About Functional Relationships” by Zhixia You. //Mathematics Teacher.// December 2007/January 2008. “Linear and Quadratic Change: A Problem from Japan” by Blake E. Peterson. //Mathematics Teacher//. October 2006 “Orchestrating Discussions Through Student Discourse” by Margaret S. Smith, Elisabeth K. Hughes, Randi A. Engle, and Mary Kay Stein. //Mathematics Teaching in the Middle School.// May 2009 “Thinking Through a Lesson: Successfully Implementing High-Level Tasks” by Margaret S. Smith, Victoria Bill, and Elizabeth K. Hughes. //Mathematics Teaching in the Middle School//. October 2008. “Understanding Functions Without Using the Vertical Line Test” by Eileen Fernandez. //Mathematics Teacher.// September 2005. “Unfolding the Solution of Linear Systems” by Sarah B. Bush. //Mathematics Teacher.// September 2010. “Using Models to Build an Understanding of Functions” by Kathleen Cramer. //Mathematics Teaching in the Middle School//. January 2001. //“Using Student Work as a Lens on Algebraic Thinking”// by Mark Driscoll and John Moyer//. Mathematics Teaching in the Middle School.// January 2001. “What Do Students Really Know About Functions//”// by Lisa L. Clement. //Mathematics Teache//r, December 2001. “Why, Why Should I Justify”? by John Lannin, David Barker, Brian Townsend. //Mathematics Teaching in the Middle School.// May 2006.


 * Books**

//Developing Essential Understanding of Functions**.**//National Council of Teachers of Mathematics. 2010 //Reasoning and Sense-making.// NCTM. 2009


 * Article on Functions**



[|Common textbooks] -- for use with the modifying tasks

USOE Mathematics

NCTM References