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Welcome!
Real World Math: Engaging Students
       through Global Issues

      We will begin at 3:00 PM Pacific time
      You can listen to the audio portion using
       the speakers on your computer or by
       calling the phone number given to you
       when you logged in to the web conference
      For technical assistance, please call 1-800-
       263-6317


        Copyright © 2010, Facing the Future
Dave Wilton
• Assistant Outreach Director
• dave@facingthefuture.org
• 206-264-1503




Copyright © 2010, Facing the Future
Copyright © 2010, Facing the Future
Copyright © 2010, Facing the Future
About Facing the Future
 Seattle-based nonprofit
  founded in 1995
 Interdisciplinary global
  issues and sustainability
  curriculum for K-12
 Over 1.5 million students
  reached annually
 All 50 U.S. states and over
  100 countries
 Professional development
  and consulting
                                             www.facingthefuture.org

                     Copyright © 2010, Facing the Future
Copyright © 2010, Facing the Future
Using Math & Real World Data
to Develop Global Competence
Globally competent students                                  must   have   the
knowledge and skills to:
 Investigate the World                         I’m Curious
 Weigh Perspectives                            I Have an Opinion
 Communicate Ideas                             I Want to Share It
 Take Action                                   I Want to Be Involved
 Apply Interdisciplinary                       I Want Bring My Talents
  & Disciplinary Expertise                       to Bear

                ~ Anthony Jackson,
       Asia Society VP of Education


                       Copyright © 2010, Facing the Future
“When Will I Ever Use This?”
                         Teachers requested:
                          Engaging „hook‟ activities
                          Un-manipulated, real world data
                          Purposeful mathematics skill
                           development
                          Acquisition of content knowledge
                           using meaningful issues




              Copyright © 2009, Facing the Future
Global Issues (Algebra + Geometry)
= Real World Math
                          Teacher‟s Guide & Student
                           Workbook
                          15 NCTM aligned lessons
                          Students use 21st-century skills
                               Critical thinking
                               Collaboration
                               Global perspective
                          Multiple points of implementation:
                               Hook activities at start of a unit
                               Reinforcement of learned concepts
                               Assessment of learning
                               Individual, small group, whole class




               Copyright © 2009, Facing the Future
Searchable Database of
State Education Standards




             Copyright © 2009, Facing the Future
Aligned with Popular
U.S. Math Textbooks




            Copyright © 2009, Facing the Future
15 Engaging Lessons
1.   Number Patterns: Waste &              9. Solving Inequalities: Carbon
     Recycling                                 Emissions
2.   Introduction to Algebra:              10. Spatial Thinking: Solar Power
     Poverty & Microcredit                 11. Area & Transformations:
3.   Modeling Integers:                        Wildlife Habitats
     Population Growth                     12. Surface Area & Volume:
4.   Solving Algebraic Equations:              Sustainable Design
     Food Choices                          13. Linear Functions: Systems &
5.   Data & Graphs: Youth                      Global Education
     Conflict                              14. Midpoint & Distance Formulas:
6.   Number Theory:                            Resource Distribution
     Consumption Choices                   15. Data Analysis: Quality of Life
7.   Rational Numbers: Financial
     Decisions
8.   Proportion, Percent, &
     Probability: Global Health


                       Copyright © 2009, Facing the Future
Copyright © 2009, Facing the Future
Lesson 1
Number Patterns: Waste & Recycling

Critical Thinking Questions:
 What are historic and current recycling trends in the US?
 What are the impacts of waste disposal?
 What are ways to reduce impacts of US produced waste?




                    Copyright © 2009, Facing the Future
Lesson 1
Number Patterns: Waste & Recycling

Objectives:
 Create expressions containing variables that represent
  real world patterns
 Explore patterns of US disposal and recycling
 Use tables and graphs to organize data
 Identify number patterns




                   Copyright © 2009, Facing the Future
Lesson 1
Number Patterns: Waste & Recycling

Introductory Activity:
In small groups, answer these
  questions about the items on
  the next slide:
   Where does it go after it’s used?
   Can it be reused? If so, how?




                   Copyright © 2009, Facing the Future
Lesson 1
Number Patterns: Waste & Recycling

Introductory Activity:
In small groups, answer these
  questions about the items on
  the next slide:
   Where does it go after it’s used?
   Can it be reused? If so, how?
Questions for the whole group:
   Is it OK for all these to be landfilled?
   How many plastic bottles do you use in a day?
   How many are used in the U.S. in 5 minutes?
    2 million
                   Copyright © 2009, Facing the Future
Waste Not, Want Not



2.    How many plastic bottles are used in 1 day
     24 mil. bottles per hour x 24 hours = 576 mil. bottles
3.    If 1/3 are recycled daily, how many are not?
     2/3 x 576 = 384 mil. bottles      OR        576 – (1/3 x 576)= 384 mil. bottles
4.    2 consequences of NOT recycling plastic bottles?
5.    Create an equation to solve for number of bottles recycled
      for any number of hours where B=Bottles & H=Hours
     B = H x 24 mil. bottles

                          Copyright © 2009, Facing the Future
Waste Not, Want Not


6. Organize this data                                   5.5
   into a line graph                                    4.6
7. Predict the number
   of pounds per day
   the average person
   will discard in 2020
   approx. 4.6 to 5.5 lbs


                  Copyright © 2009, Facing the Future
Waste Not, Want Not
                            8.       All materials except plastics and
                                     food scraps make up 76% of
                                     our waste stream.
                                     The % of plastics is the same
                                     as the % of food scraps.
                                     What % of our waste stream is
                                     plastics?
                                     (100% - 76%) / 2 = 12%
                            9.       Recycling 4,050 20 oz. bottles
                                     saves 1 cubic yard of landfill
                                     space.
                                     How many bottles need to be
                                     recycled to save 50 cubic yards
                                     of landfill space?
                                     4,050 x 50 = 202,500
           Copyright © 2009, Facing the Future
Waste Not, Want Not
Discussion Questions
Is it important to recycle as much as we can?
What are other ways to reduce the amount of waste we
 produce?
Where is the closest landfill to your house? What factors
 influence their location? Would you want one near you?
Will the amount of waste generated per person in the U.S.
 continue to increase?
What kinds of materials are recyclable in your community?
 What are barriers to recycling and ways to overcome them?


                     Copyright © 2009, Facing the Future
Student Readings
1 page reading per
  lesson
Connects a global
  issue to its impacts
  and possible
  student actions
Referenced




 Copyright © 2009, Facing the Future
Additional Resources



                                                                   Partial Zoom




                                       Images retrieved from www.chrisjordan.com

           www.chrisjordan.com
           Copyright © 2009, Facing the Future
Iceberg Model
For understanding root causes and
 leverage points of global issues




          Copyright © 2010, Facing the Future
Additional Free Resources
 Interdisciplinary
 10 lessons
 Correlated with state and
  national science and
  social studies standards
 Explores the materials
  economy and its 5 steps:
   Extraction
   Production
   Distribution
   Consumption
   Disposal
                   Copyright © 2010, Facing the Future
Unit Overview




            Copyright © 2010, Facing the Future
15 Engaging Lessons
1.   Number Patterns: Waste &              9. Solving Inequalities: Carbon
     Recycling                                 Emissions
2.   Introduction to Algebra:              10. Spatial Thinking: Solar Power
     Poverty & Microcredit                 11. Area & Transformations:
3.   Modeling Integers:                        Wildlife Habitats
     Population Growth                     12. Surface Area & Volume:
4.   Solving Algebraic Equations:              Sustainable Design
     Food Choices                          13. Linear Functions: Systems &
5.   Data & Graphs: Youth                      Global Education
     Conflict                              14. Midpoint & Distance Formulas:
6.   Number Theory:                            Resource Distribution
     Consumption Choices                   15. Data Analysis: Quality of Life
7.   Rational Numbers: Financial
     Decisions
8.   Proportion, Percent, &
     Probability: Global Health


                       Copyright © 2009, Facing the Future
Lesson 11
Area & Transformations: Wildlife Habitat




Critical Thinking Questions:
 What are ways to conserve and protect endangered
  species?
 How is environmental protection linked to the protection of
  our livelihoods
                    Copyright © 2009, Facing the Future
Lesson 11
Area & Transformations: Wildlife Habitat




Objectives:
 Use formulas to find the area of polygons
 Transform figures on a coordinate plane
 Analyze ways in which habitat size and location might
  affect a species
 Discuss ways to ensure species survival


                   Copyright © 2009, Facing the Future
Lesson 11
Area & Transformations: Wildlife Habitat

Write one unique thing you are
able to do? (This should be something
that you are proud of and that not many
people are able to do.)


What would the world be like if no
one had these skills?

                    Copyright © 2010, Facing the Future
Home Sweet Habitat
Community Learning
 Center East
Catalyst for a school-
 wide habitat project
Area & transformations
  Perimeter of planting
   area, area for weed cloth,
   volume for mulch
Language Arts link:
 research & writing on
 native plants & habitats
                   Copyright © 2010, Facing the Future
Home Sweet Habitat
Community connections:
 native plant nursery owner,
 National Wildlife Steward,
 Florida Native Plant Society
Showcase: tours for the
 public, PPTs, local publicity



        “It wasn’t an add on, but just a replacement
                 of less effective materials.”
                    Copyright © 2010, Facing the Future
Copyright © 2009, Facing the Future
Staying Connected

 Visit www.facingthefuture.org
 Sign up for FTF e-newsletter
 Be a Peer Educator
 Provide feedback via survey
 Contact FTF:
  dave@facingthefuture.org


                 Copyright © 2009, Facing the Future
“We must teach our students that
they can be architects of the future,
      rather than its victims.”
   ~ Buckminster Fuller, Architect and Philosopher

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Real World Math: Engaging Students through Global Issues

  • 1. Welcome! Real World Math: Engaging Students through Global Issues  We will begin at 3:00 PM Pacific time  You can listen to the audio portion using the speakers on your computer or by calling the phone number given to you when you logged in to the web conference  For technical assistance, please call 1-800- 263-6317 Copyright © 2010, Facing the Future
  • 2. Dave Wilton • Assistant Outreach Director • dave@facingthefuture.org • 206-264-1503 Copyright © 2010, Facing the Future
  • 3. Copyright © 2010, Facing the Future
  • 4. Copyright © 2010, Facing the Future
  • 5. About Facing the Future  Seattle-based nonprofit founded in 1995  Interdisciplinary global issues and sustainability curriculum for K-12  Over 1.5 million students reached annually  All 50 U.S. states and over 100 countries  Professional development and consulting www.facingthefuture.org Copyright © 2010, Facing the Future
  • 6. Copyright © 2010, Facing the Future
  • 7. Using Math & Real World Data to Develop Global Competence Globally competent students must have the knowledge and skills to:  Investigate the World  I’m Curious  Weigh Perspectives  I Have an Opinion  Communicate Ideas  I Want to Share It  Take Action  I Want to Be Involved  Apply Interdisciplinary  I Want Bring My Talents & Disciplinary Expertise to Bear ~ Anthony Jackson, Asia Society VP of Education Copyright © 2010, Facing the Future
  • 8. “When Will I Ever Use This?” Teachers requested:  Engaging „hook‟ activities  Un-manipulated, real world data  Purposeful mathematics skill development  Acquisition of content knowledge using meaningful issues Copyright © 2009, Facing the Future
  • 9. Global Issues (Algebra + Geometry) = Real World Math  Teacher‟s Guide & Student Workbook  15 NCTM aligned lessons  Students use 21st-century skills Critical thinking Collaboration Global perspective  Multiple points of implementation: Hook activities at start of a unit Reinforcement of learned concepts Assessment of learning Individual, small group, whole class Copyright © 2009, Facing the Future
  • 10. Searchable Database of State Education Standards Copyright © 2009, Facing the Future
  • 11. Aligned with Popular U.S. Math Textbooks Copyright © 2009, Facing the Future
  • 12. 15 Engaging Lessons 1. Number Patterns: Waste & 9. Solving Inequalities: Carbon Recycling Emissions 2. Introduction to Algebra: 10. Spatial Thinking: Solar Power Poverty & Microcredit 11. Area & Transformations: 3. Modeling Integers: Wildlife Habitats Population Growth 12. Surface Area & Volume: 4. Solving Algebraic Equations: Sustainable Design Food Choices 13. Linear Functions: Systems & 5. Data & Graphs: Youth Global Education Conflict 14. Midpoint & Distance Formulas: 6. Number Theory: Resource Distribution Consumption Choices 15. Data Analysis: Quality of Life 7. Rational Numbers: Financial Decisions 8. Proportion, Percent, & Probability: Global Health Copyright © 2009, Facing the Future
  • 13. Copyright © 2009, Facing the Future
  • 14. Lesson 1 Number Patterns: Waste & Recycling Critical Thinking Questions:  What are historic and current recycling trends in the US?  What are the impacts of waste disposal?  What are ways to reduce impacts of US produced waste? Copyright © 2009, Facing the Future
  • 15. Lesson 1 Number Patterns: Waste & Recycling Objectives:  Create expressions containing variables that represent real world patterns  Explore patterns of US disposal and recycling  Use tables and graphs to organize data  Identify number patterns Copyright © 2009, Facing the Future
  • 16. Lesson 1 Number Patterns: Waste & Recycling Introductory Activity: In small groups, answer these questions about the items on the next slide:  Where does it go after it’s used?  Can it be reused? If so, how? Copyright © 2009, Facing the Future
  • 17.
  • 18. Lesson 1 Number Patterns: Waste & Recycling Introductory Activity: In small groups, answer these questions about the items on the next slide:  Where does it go after it’s used?  Can it be reused? If so, how? Questions for the whole group:  Is it OK for all these to be landfilled?  How many plastic bottles do you use in a day?  How many are used in the U.S. in 5 minutes? 2 million Copyright © 2009, Facing the Future
  • 19. Waste Not, Want Not 2. How many plastic bottles are used in 1 day 24 mil. bottles per hour x 24 hours = 576 mil. bottles 3. If 1/3 are recycled daily, how many are not? 2/3 x 576 = 384 mil. bottles OR 576 – (1/3 x 576)= 384 mil. bottles 4. 2 consequences of NOT recycling plastic bottles? 5. Create an equation to solve for number of bottles recycled for any number of hours where B=Bottles & H=Hours B = H x 24 mil. bottles Copyright © 2009, Facing the Future
  • 20. Waste Not, Want Not 6. Organize this data 5.5 into a line graph 4.6 7. Predict the number of pounds per day the average person will discard in 2020 approx. 4.6 to 5.5 lbs Copyright © 2009, Facing the Future
  • 21. Waste Not, Want Not 8. All materials except plastics and food scraps make up 76% of our waste stream. The % of plastics is the same as the % of food scraps. What % of our waste stream is plastics? (100% - 76%) / 2 = 12% 9. Recycling 4,050 20 oz. bottles saves 1 cubic yard of landfill space. How many bottles need to be recycled to save 50 cubic yards of landfill space? 4,050 x 50 = 202,500 Copyright © 2009, Facing the Future
  • 22. Waste Not, Want Not Discussion Questions Is it important to recycle as much as we can? What are other ways to reduce the amount of waste we produce? Where is the closest landfill to your house? What factors influence their location? Would you want one near you? Will the amount of waste generated per person in the U.S. continue to increase? What kinds of materials are recyclable in your community? What are barriers to recycling and ways to overcome them? Copyright © 2009, Facing the Future
  • 23. Student Readings 1 page reading per lesson Connects a global issue to its impacts and possible student actions Referenced Copyright © 2009, Facing the Future
  • 24. Additional Resources Partial Zoom Images retrieved from www.chrisjordan.com www.chrisjordan.com Copyright © 2009, Facing the Future
  • 25. Iceberg Model For understanding root causes and leverage points of global issues Copyright © 2010, Facing the Future
  • 26. Additional Free Resources  Interdisciplinary  10 lessons  Correlated with state and national science and social studies standards  Explores the materials economy and its 5 steps: Extraction Production Distribution Consumption Disposal Copyright © 2010, Facing the Future
  • 27. Unit Overview Copyright © 2010, Facing the Future
  • 28. 15 Engaging Lessons 1. Number Patterns: Waste & 9. Solving Inequalities: Carbon Recycling Emissions 2. Introduction to Algebra: 10. Spatial Thinking: Solar Power Poverty & Microcredit 11. Area & Transformations: 3. Modeling Integers: Wildlife Habitats Population Growth 12. Surface Area & Volume: 4. Solving Algebraic Equations: Sustainable Design Food Choices 13. Linear Functions: Systems & 5. Data & Graphs: Youth Global Education Conflict 14. Midpoint & Distance Formulas: 6. Number Theory: Resource Distribution Consumption Choices 15. Data Analysis: Quality of Life 7. Rational Numbers: Financial Decisions 8. Proportion, Percent, & Probability: Global Health Copyright © 2009, Facing the Future
  • 29. Lesson 11 Area & Transformations: Wildlife Habitat Critical Thinking Questions:  What are ways to conserve and protect endangered species?  How is environmental protection linked to the protection of our livelihoods Copyright © 2009, Facing the Future
  • 30. Lesson 11 Area & Transformations: Wildlife Habitat Objectives:  Use formulas to find the area of polygons  Transform figures on a coordinate plane  Analyze ways in which habitat size and location might affect a species  Discuss ways to ensure species survival Copyright © 2009, Facing the Future
  • 31. Lesson 11 Area & Transformations: Wildlife Habitat Write one unique thing you are able to do? (This should be something that you are proud of and that not many people are able to do.) What would the world be like if no one had these skills? Copyright © 2010, Facing the Future
  • 32.
  • 33. Home Sweet Habitat Community Learning Center East Catalyst for a school- wide habitat project Area & transformations Perimeter of planting area, area for weed cloth, volume for mulch Language Arts link: research & writing on native plants & habitats Copyright © 2010, Facing the Future
  • 34. Home Sweet Habitat Community connections: native plant nursery owner, National Wildlife Steward, Florida Native Plant Society Showcase: tours for the public, PPTs, local publicity “It wasn’t an add on, but just a replacement of less effective materials.” Copyright © 2010, Facing the Future
  • 35. Copyright © 2009, Facing the Future
  • 36. Staying Connected  Visit www.facingthefuture.org  Sign up for FTF e-newsletter  Be a Peer Educator  Provide feedback via survey  Contact FTF: dave@facingthefuture.org Copyright © 2009, Facing the Future
  • 37. “We must teach our students that they can be architects of the future, rather than its victims.” ~ Buckminster Fuller, Architect and Philosopher