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Ontario Association for Mathematics Education
Ontario Association for Mathematics Education

MCV4U Resources

Grade 12

Introductory Materials

  • doc pdf - Intro to MCV4U - Introduction to MCV4U, Writing Team members, Course Notes (updated: 2011-Nov-11)
  • doc pdf - MCV4U Overview - FINAL version of MCV4U Overview / Unit Outlines and Appendix A - link to Electronic Learning Objects (updated: 2008-May-06)
  • ipr - Unit 6 Concept Map - FINAL Smart Ideas Flowchart demonstrating suggested flow for Advanced Vectors unit (updated: 2008-May-06)

Unit Lesson Plans

  • doc pdf - Ministry Team Unit 1 - FINAL version of Unit Outline and selected Lessons (updated: 2008-May-06)
  • doc pdf - Unit 2 - Exploring Derivatives - Lesson plans for selected days including black line masters
  • m.o.* - Unit 2 - Summative Task - Exploring Derivatives - Summative Task - blackline masters with rubric (* Link to Members Only section for OAME members. )
  • doc pdf - Ministry Team Unit 2 - FINAL version of Unit Outline and selected Lessons (updated: 2008-May-06)
  • doc pdf - Unit 2 - Additional Supports - Additional support material, lessons and activities (updated: 2008-Jan-31)
  • doc pdf - Unit 3 - Properties of Derivatives - Lesson plans and blackline masters
  • doc pdf - Ministry Team Unit 3 - FINAL version of Unit Outline (updated: 2008-May-06)
  • m.o.* - Unit 3 - Summative Task - Derivatives and Their Applications - Summative Task (* Link to Members Only section for OAME members. )
  • doc pdf - Unit 3 - Additional Supports - Additional support material, lessons and activities (updated: 2008-Jan-31)
  • doc pdf - Unit 4 - Rate of Change - Lesson plans including blackline masters
  • doc pdf - Ministry Team Unit 4 - FINAL version of Unit Outline (updated: 2008-May-06)
  • m.o.* - Unit 4 - Summative Task - Summative Task - Rate of Change (* Link to Members Only section for OAME members. )
  • doc pdf - Unit 4 - Additional Supports - Additional support material, lessons and activities (updated: 2008-Jan-31)
  • doc pdf - Unit 5 - Intro to Vectors - Lesson Plans for selected days of unit on vectors, including black line masters
  • doc pdf - Ministry Team Unit 5 - FINAL version of Unit Outline (updated: 2008-May-06)
  • doc pdf - Unit 5 - Additional Supports - Additional support material, lessons and activities (updated: 2008-Jan-31)
  • doc pdf - Ministry Team Unit 6 - FINAL version of Unit Outline and selected Lessons (updated: 2008-May-06)
  • m.o.* - Final Evaluation - Final Summative Task with solutions and Question Bank (* Link to Members Only section for OAME members. ) (updated: 2008-May-04)

Electronic Resources

  • gsp - Ball Bounces - GSP sketch for Unit 1
  • xls - Go with the flow - Excel spreadsheet for Unit 1
  • gsp - Go with the flow - GSP sketch for Unit 1
  • gsp - Go with the flow exemplar - GSP sketch for Unit 1
  • ftm - Go with the flow - Fathom dataset for Unit 1
  • ftm - Go with the flow exemplar - Fathom dataset for Unit 1
  • ftm - Go with the flow exemplar # 2 - Fathom dataset for Unit 1
  • gsp - Secant Slope - GSP sketch for Unit 1
  • gsp - Exponential Tangent - GSP sketch for Unit 2
  • gsp - Group One ax^2 - GSP sketch for Unit 2
  • gsp - Group Two ax^3 - GSP sketch for Unit 2
  • gsp - Group Three x^2 + ax - GSP sketch for Unit 2
  • gsp - Group Four x^3 + ax^2 - GSP sketch for Unit 2
  • gsp - Pts of Inflection - GSP sketch for Unit 3
  • pdf - Unit 3 CAS - CAS info file for Unit 3 Lesson 5 (updated: 2008-Jan-31)
  • pdf - Unit 3 TI-89 - TI-89 info file for Unit 3 Lesson 5 (updated: 2008-Jan-31)
  • pdf - Unit 4 CAS - CAS info file for Unit 4 Lesson 4 (updated: 2008-Jan-31)
  • pdf - Unit 4 TI-89 - TI-89 info file for Unit 4 Lesson 4 (updated: 2008-Jan-31)
  • gsp - Get to the point - GSP sketch for Unit 5
  • gsp - Vector Basics - GSP sketch for Unit 5
  • ppt - Intersection of 3 Planes - Powerpoint for Unit 6
  • zip - Electronic Resources package - Zip Archive of all Electronic Resources
  • zip - 3D Java plotting package - ZIP file containing all java files needed for 3D Java plotting package (unzip, then run: 3Dplot.htm) (updated: 2009-Jun-03)

Online Resources

  • www.elearningontario.ca/eng/Default.aspx - OERB - Ontario Educational Resource Bank - online activities from eLearning Ontario - please use login and password assigned to your school board (see list of specific activities below)
  • - OERB - MGA4U Unit 3 Vectors unit activities: - Activity 2 - Vector Laws / Activty 3 - Applications of Geometric Vectors / Activity 5 - Algebraic Vectors / Activity 6 - Operations with Algebraic Vectors
  • - OERB - MGA4U Unit 5 Vector Methods with Planes and Lines activities: - Activity 1 - Equations of Lines in 2-space / Activity 3 - Intersection of Lines / Activity 5 - Equations of Planes / Activity 6 - Intersection of a Line and a Plane / Activity 7 - Intersection of Planes / Activity 8 - Task: X, Y, and Z Factor
  • standards.nctm.org/document/eexamples/chap7/7.1/index.htm - NCTM Vector applet - This site has two applets. The first illustrates the components of a vector to control a car. The second illustrates vector addition for an aircraft flying that is acted upon by wind.
  • physics.syr.edu/courses/java-suite/crosspro.html - Syracuse University - This applet demonstrates cross product of two vectors in 3-space. It allows users to interactively change the vectors and see the resulting cross-product.
  • www.ies.co.jp/math/products/vector/menu.html - International Education Software - This Japanese site has a collection of applets that cover a wide variety of 2-space and 3-space vector topics.
  • www.after4.ca/SchoolStuff/PhysicsLab/roomnojpgtest.html - Professor Bob's Physics Lab (Rob Scott) - This interactive site has flash applets on various Physics topics. Some topics such as Milliken and Momentum labs allow students to apply vector concepts.
  • surendranath.org/Applets.html - B. Surendranath Reddy (Physics Teacher in India) - This site has several applets that can be used in MCV4U. For vectors there are applets for addition, cross product of vectors, converting between Cartesian and directed line segment forms and several kinematics applets. For calculus there are applets for instantaneous speed and velocity.
  • oame.on.ca/main/files/gr12-2007/MCV4U/3D/3Dplot.htm - 3D Plotting Tool - 3D plotting tool that allows up to 3 points and/or vectors to be plotted, as well as lines and planes in various equation forms.

Zip Files

  • zip - Intro Files - Zip archive of Intro to MCV4U and DRAFT overviews (updated: 2011-Nov-11)
  • zip - Unit 1 Files - Zip archive of DRAFT files from Ministry Team, including Unit 1 Electronic Resources (updated: 2007-Aug-30)
  • zip - Unit 2 Files - Zip archive of pdf and doc unit lesson plans, Ministry Team DRAFT lessons and electronic resources (updated: 2007-Sep-02)
  • zip - Unit 3 Files - Zip archive of Unit 3 lesson plans in pdf and doc format plus GSP sketch
  • zip - Unit 4 Files - Zip archive of Unit 4 lesson plans in pdf and doc format
  • zip - Unit 5 Files - Zip archive of pdf and doc unit lesson plans and GSP sketches
  • zip - Unit 6 Files - Zip archive of DRAFT files from Ministry Team, including powerpoint and unit concept map (updated: 2007-Aug-30)

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