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Darren Kuropatwa
Special Area Groups Conference
Manitoba Association of Mathematics Teachers
23 October 2009
Foldables
Foldables


 Math 10
         ∆ curriculum
I need to know more about ...
            Pacing
   Web sites & resources
        Networking
Foldables
Foldables
Implementation




2010
Implementation
                 Grade 9



Essential 10                   Applied & PC 10



Essential 11           Applied 11            Pre-Cal 11



Essential 12           Applied 12            Pre-Cal 12
Curriculum Analysis


1996
Curriculum Analysis


1996

       43
Curriculum Analysis


2010

  ∆30
Curriculum Analysis


2008

  +18
Curriculum Analysis


2010

  ∆12
Curriculum Analysis


2008

       61
Curriculum Analysis


2010

  ∆42
Curriculum Analysis


2010

∆69%
you’re probably feeling ...
New Curriculum is a Problem
New Curriculum is a Problem

What do I teach?
New Curriculum is a Problem

What do I teach?

How do I teach it?
New Curriculum is a Problem

What do I teach?

How do I teach it?

What resources can I
bring to bear on this
problem?
New Curriculum is a Problem

What do I teach?

How do I teach it?

What resources can I
bring to bear on this
problem?

How do I pace myself?
Learning is a Conversation
Pacing
             Unit 1: Measurement
Chapter 1: Measurement Systems
Chapter 2: Surface Area and Volume
Chapter 3: Right Triangle Geometry

       Unit 2: Algebra and Number
Chapter 4: Exponents
Chapter 5: Polynomials

     Unit 3: Relations and Functions
Chapter 6: Linear Relations
Chapter 7: Linear Equations and Graphs

       Unit 4: Systems of Equations
Chapter 8: Solving Systems of Linear Equations Graphically
Chapter 9: Solving Systems of Linear Equations Algebraically
Pacing
Pacing
        Chapter                 Outcomes Hours      %      Classes/80
1 Measurement Systems             M1, M2      10   9.0%        7

2 Surface Area and Volume           M3        5    4.5%        4

3 Right Triangle Geometry           M4        10   9.0%        7

4 Exponents                      A1, A2, A3   10   9.0%        7

5 Polynomials                     A4, A5      15   13.6%       11

6 Linear Relations                R1-5, R8    30   27.3%       22

7 Linear Equations and Graphs     R6, R7      15   13.6%       11
8 Solving Systems of Linear
                                    R9        7    6.4%        5
Equations Graphically
9 Solving Systems of Linear
                                    R9        8    7.3%        6
Equations Algebraically
Pacing
        Chapter                 Outcomes Hours       %      Classes/80
1 Measurement Systems             M1, M2      10    9.0%         7

2 Surface Area and Volume           M3         5    4.5%         4

3 Right Triangle Geometry           M4        10    9.0%         7

4 Exponents                      A1, A2, A3   10    9.0%         7

5 Polynomials                     A4, A5      15    13.6%        11

6 Linear Relations                R1-5, R8    30    27.3%        22

7 Linear Equations and Graphs     R6, R7      15    13.6%        11
8 Solving Systems of Linear
                                    R9         7    6.4%         5
Equations Graphically
9 Solving Systems of Linear
                                    R9         8    7.3%         6
Equations Algebraically
                                    18        110   99.7%    80 classes
Pacing
        Chapter                 Outcomes Hours       %      Classes/80
1 Measurement Systems             M1, M2      10    9.0%         7

2 Surface Area and Volume           M3         5    4.5%         4

3 Right Triangle Geometry           M4        10    9.0%         7

4 Exponents                      A1, A2, A3   10    9.0%         7

5 Polynomials                     A4, A5      15    13.6%        11

6 Linear Relations                R1-5, R8    30    27.3%        22

7 Linear Equations and Graphs     R6, R7      15    13.6%        11
8 Solving Systems of Linear
                                    R9         7    6.4%         5
Equations Graphically
9 Solving Systems of Linear
                                    R9         8    7.3%         6
Equations Algebraically
                                    18        110   99.7%    80 classes
Pacing
        Chapter                 Outcomes Hours       %      Classes/80
1 Measurement Systems             M1, M2      10    9.0%         7

2 Surface Area and Volume           M3         5    4.5%         4

3 Right Triangle Geometry           M4        10    9.0%         7

4 Exponents                      A1, A2, A3   10    9.0%         7

5 Polynomials                     A4, A5      15    13.6%        11

6 Linear Relations                R1-5, R8    30    27.3%        22

7 Linear Equations and Graphs     R6, R7      15    13.6%        11
8 Solving Systems of Linear
                                    R9         7    6.4%         5
Equations Graphically
9 Solving Systems of Linear
                                    R9         8    7.3%         6
Equations Algebraically
                                    18        110   99.7%    80 classes
Pacing
        Chapter                 Outcomes Hours       %      Classes/80
1 Measurement Systems             M1, M2      10    9.0%         7

2 Surface Area and Volume           M3         5    4.5%         4

3 Right Triangle Geometry           M4        10    9.0%         7

4 Exponents                      A1, A2, A3   10    9.0%         7

5 Polynomials                     A4, A5      15    13.6%        11

6 Linear Relations                R1-5, R8    30    27.3%        22

7 Linear Equations and Graphs     R6, R7      15    13.6%        11
8 Solving Systems of Linear
                                    R9         7    6.4%         5
Equations Graphically
9 Solving Systems of Linear
                                    R9         8    7.3%         6
Equations Algebraically
                                    18        110   99.7%    80 classes
New Curriculum is a Problem
New Curriculum is a Problem
New Curriculum is a Problem
I can't teach my
favourite stuff any more!
New Curriculum is a Problem
I can't teach my
favourite stuff any more!
What do I have to teach?
New Curriculum is a Problem
I can't teach my
favourite stuff any more!
What do I have to teach?
How do I teach this
stuff I've never taught
before?
New Curriculum is a Problem
I can't teach my
favourite stuff any more!
What do I have to teach?
How do I teach this
stuff I've never taught
before?
What new resources
can I bring to bear on
this problem?
DELETED or MOVED
➡Recursive and non-recursive data tables
➡Spreadsheets
➡Communicate instructions used to solve
  problems

➡Operations on irrational numbers of
  monomial and binomial form

➡Direct variation as an application of linear
  functions

➡Statistics & Probability (Chance &
  Uncertainty): Expected values

➡Statistics & Probability (Data Analysis):
  Sampling techniques & inferences and
  generalizations about populations based on
  sample data Moved to Grade 9
DELETED or MOVED
➡Recursive and non-recursive data tables        ➡Arithmetic sequences and series (including
                                                  as applications of linear functions)
➡Spreadsheets                                     Moved to Pre-Cal 11
➡Communicate instructions used to solve         ➡Sine and cosine for angles from 90º to 180º
  problems                                        Moved to Pre-Cal 11
➡Operations on irrational numbers of            ➡Sine and cosine laws
  monomial and binomial form                      Moved to Applied 11 & Pre-Cal 11
➡Direct variation as an application of linear   ➡Geometric growth/number patterns
  functions                                       Moved to Pre-Cal 11
➡Statistics & Probability (Chance &             ➡Rational expressions (equivalent forms,
  Uncertainty): Expected values                   nonpermissible values, and operations) and
                                                  equations Moved to Pre-Cal 11
➡Statistics & Probability (Data Analysis):
  Sampling techniques & inferences and          ➡Plot nonlinear data Moved to Applied 12
  generalizations about populations based on
  sample data Moved to Grade 9                  ➡Dividing a polynomial by a binomial
                                                  Moved to Pre-Cal 12
NEW

➡Imperial units
➡Conversions between SI and imperial units
➡Increased emphasis on linear equations, functions, and associated graphs
➡Increased emphasis on contextual understanding of all content
➡Surface area of right cones, right cylinders, right prisms, and right pyramids
  Moved from Grade 9

➡Factors of numbers by determining prime factors, GCF, LCM, square root, cube root
  Moved from Grade 9

➡Systems of linear equations in two variables (graphically and algebraically)
  Moved from Applied 11
Pacing
 Remember this?
   Chapter Outcomes Hours                            %      Classes/80
1 Measurement Systems            M1, M2        10    9.0%       7

2 Surface Area and Volume          M3          5     4.5%       4

3 Right Triangle Geometry          M4          10    9.0%       7

4 Exponents                     A1, A2, A3     10    9.0%       7

5 Polynomials                    A4, A5        15   13.6%       11

6 Linear Relations              R1-5, R8       30   27.3%       22

7 Linear Equations and Graphs    R6, R7        15   13.6%       11
8 Solving Systems of Linear
                                   R9          7     6.4%       5
Equations Graphically
9 Solving Systems of Linear
                                   R9          8     7.3%       6
Equations Algebraically
                                   18        110 hrs 99.7% 80 Classes
Differences in Manitoba
➡Scatter plots
(Chapter 6? — Linear Relations & Functions)

➡Distance between two points
(as an application of the Pythagorean Theorem, Chapter 3? — Right Angle Trig)

➡Midpoint of a line segment
(Teacher supplemented material will be required)
Differences in Manitoba
➡Scatter plots Outcome R7
(Chapter 6? — Linear Relations & Functions)

➡Distance between two points Outcome R10
(as an application of the Pythagorean Theorem, Chapter 3? — Right Angle Trig)

➡Midpoint of a line segment Outcome R10
(Teacher supplemented material will be required)
Differences in Manitoba
➡Scatter plots Outcome R7
(Chapter 6? — Linear Relations & Functions)

➡Distance between two points Outcome R10
(as an application of the Pythagorean Theorem, Chapter 3? — Right Angle Trig)




      19
➡Midpoint of a line segment Outcome R10
(Teacher supplemented material will be required)
New Curriculum is a Problem
This New Curriculum is a Problem
This New Curriculum is a Problem

                     Applied 10
This New Curriculum is a Problem

                     Applied 10




                           Pre-Cal 10
This New Curriculum is a Problem

                     Applied 10




                     Applied & PC 10




                           Pre-Cal 10
This New Curriculum is a Problem

                     Applied 10




                     Applied & PC 10




                           Pre-Cal 10
A Solution
Textbook Structure
Textbook Structure
Unit 1          Unit 2




Unit 3          Unit 4
MINI LABs
Interactive Student Edition
Interactive Teacher’s Resource
Math 10 Components
Student             Teacherʼs
    text                         TR    Computerized
                    Resource
                                       Assessment
                                       Bank
    Interactive
    Student
    Edition     Student Exercise and
                     Homework Book
                                           Solutions
Interactive                                CD-ROM
 Teacherʼs
 Resource                       Exam
                           Preparation
                            Workbook
Resources
A Final Problem?
thanks
Bridgestone Squirrel Superbowl Commercial
                                                       http://www.youtube.com/watch?v=S5BZpSXO7WY


                                   Video
                                                       Screencast by @dkuropatwa from Screenr.com
Photo Credits
                                                       http://www.youtube.com/watch?v=2hSGL-FVLHI

                Question mark
                http://www.flickr.com/photos/marcobellucci/3534516458/
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                http://www.flickr.com/photos/duimdog/35438353/
                Teacher Wang Zhi Yan (Angie)
                http://www.flickr.com/photos/drs2biz/66685691/
                Teacher
                http://www.flickr.com/photos/benrussell/1477899923/
                Confused Milli
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                Student and Teacher
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                One Of These Buttons Will Get Me Out Of Here
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                CD
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MHR Math10 Workshop

  • 1. 3 1 pr so ob lu le tio s m n Darren Kuropatwa Special Area Groups Conference Manitoba Association of Mathematics Teachers 23 October 2009
  • 3. Foldables Math 10 ∆ curriculum I need to know more about ... Pacing Web sites & resources Networking
  • 7. Implementation Grade 9 Essential 10 Applied & PC 10 Essential 11 Applied 11 Pre-Cal 11 Essential 12 Applied 12 Pre-Cal 12
  • 17. New Curriculum is a Problem
  • 18. New Curriculum is a Problem What do I teach?
  • 19. New Curriculum is a Problem What do I teach? How do I teach it?
  • 20. New Curriculum is a Problem What do I teach? How do I teach it? What resources can I bring to bear on this problem?
  • 21. New Curriculum is a Problem What do I teach? How do I teach it? What resources can I bring to bear on this problem? How do I pace myself?
  • 22. Learning is a Conversation
  • 23. Pacing Unit 1: Measurement Chapter 1: Measurement Systems Chapter 2: Surface Area and Volume Chapter 3: Right Triangle Geometry Unit 2: Algebra and Number Chapter 4: Exponents Chapter 5: Polynomials Unit 3: Relations and Functions Chapter 6: Linear Relations Chapter 7: Linear Equations and Graphs Unit 4: Systems of Equations Chapter 8: Solving Systems of Linear Equations Graphically Chapter 9: Solving Systems of Linear Equations Algebraically
  • 25. Pacing Chapter Outcomes Hours % Classes/80 1 Measurement Systems M1, M2 10 9.0% 7 2 Surface Area and Volume M3 5 4.5% 4 3 Right Triangle Geometry M4 10 9.0% 7 4 Exponents A1, A2, A3 10 9.0% 7 5 Polynomials A4, A5 15 13.6% 11 6 Linear Relations R1-5, R8 30 27.3% 22 7 Linear Equations and Graphs R6, R7 15 13.6% 11 8 Solving Systems of Linear R9 7 6.4% 5 Equations Graphically 9 Solving Systems of Linear R9 8 7.3% 6 Equations Algebraically
  • 26. Pacing Chapter Outcomes Hours % Classes/80 1 Measurement Systems M1, M2 10 9.0% 7 2 Surface Area and Volume M3 5 4.5% 4 3 Right Triangle Geometry M4 10 9.0% 7 4 Exponents A1, A2, A3 10 9.0% 7 5 Polynomials A4, A5 15 13.6% 11 6 Linear Relations R1-5, R8 30 27.3% 22 7 Linear Equations and Graphs R6, R7 15 13.6% 11 8 Solving Systems of Linear R9 7 6.4% 5 Equations Graphically 9 Solving Systems of Linear R9 8 7.3% 6 Equations Algebraically 18 110 99.7% 80 classes
  • 27. Pacing Chapter Outcomes Hours % Classes/80 1 Measurement Systems M1, M2 10 9.0% 7 2 Surface Area and Volume M3 5 4.5% 4 3 Right Triangle Geometry M4 10 9.0% 7 4 Exponents A1, A2, A3 10 9.0% 7 5 Polynomials A4, A5 15 13.6% 11 6 Linear Relations R1-5, R8 30 27.3% 22 7 Linear Equations and Graphs R6, R7 15 13.6% 11 8 Solving Systems of Linear R9 7 6.4% 5 Equations Graphically 9 Solving Systems of Linear R9 8 7.3% 6 Equations Algebraically 18 110 99.7% 80 classes
  • 28. Pacing Chapter Outcomes Hours % Classes/80 1 Measurement Systems M1, M2 10 9.0% 7 2 Surface Area and Volume M3 5 4.5% 4 3 Right Triangle Geometry M4 10 9.0% 7 4 Exponents A1, A2, A3 10 9.0% 7 5 Polynomials A4, A5 15 13.6% 11 6 Linear Relations R1-5, R8 30 27.3% 22 7 Linear Equations and Graphs R6, R7 15 13.6% 11 8 Solving Systems of Linear R9 7 6.4% 5 Equations Graphically 9 Solving Systems of Linear R9 8 7.3% 6 Equations Algebraically 18 110 99.7% 80 classes
  • 29. Pacing Chapter Outcomes Hours % Classes/80 1 Measurement Systems M1, M2 10 9.0% 7 2 Surface Area and Volume M3 5 4.5% 4 3 Right Triangle Geometry M4 10 9.0% 7 4 Exponents A1, A2, A3 10 9.0% 7 5 Polynomials A4, A5 15 13.6% 11 6 Linear Relations R1-5, R8 30 27.3% 22 7 Linear Equations and Graphs R6, R7 15 13.6% 11 8 Solving Systems of Linear R9 7 6.4% 5 Equations Graphically 9 Solving Systems of Linear R9 8 7.3% 6 Equations Algebraically 18 110 99.7% 80 classes
  • 30. New Curriculum is a Problem
  • 31. New Curriculum is a Problem
  • 32. New Curriculum is a Problem I can't teach my favourite stuff any more!
  • 33. New Curriculum is a Problem I can't teach my favourite stuff any more! What do I have to teach?
  • 34. New Curriculum is a Problem I can't teach my favourite stuff any more! What do I have to teach? How do I teach this stuff I've never taught before?
  • 35. New Curriculum is a Problem I can't teach my favourite stuff any more! What do I have to teach? How do I teach this stuff I've never taught before? What new resources can I bring to bear on this problem?
  • 36. DELETED or MOVED ➡Recursive and non-recursive data tables ➡Spreadsheets ➡Communicate instructions used to solve problems ➡Operations on irrational numbers of monomial and binomial form ➡Direct variation as an application of linear functions ➡Statistics & Probability (Chance & Uncertainty): Expected values ➡Statistics & Probability (Data Analysis): Sampling techniques & inferences and generalizations about populations based on sample data Moved to Grade 9
  • 37. DELETED or MOVED ➡Recursive and non-recursive data tables ➡Arithmetic sequences and series (including as applications of linear functions) ➡Spreadsheets Moved to Pre-Cal 11 ➡Communicate instructions used to solve ➡Sine and cosine for angles from 90º to 180º problems Moved to Pre-Cal 11 ➡Operations on irrational numbers of ➡Sine and cosine laws monomial and binomial form Moved to Applied 11 & Pre-Cal 11 ➡Direct variation as an application of linear ➡Geometric growth/number patterns functions Moved to Pre-Cal 11 ➡Statistics & Probability (Chance & ➡Rational expressions (equivalent forms, Uncertainty): Expected values nonpermissible values, and operations) and equations Moved to Pre-Cal 11 ➡Statistics & Probability (Data Analysis): Sampling techniques & inferences and ➡Plot nonlinear data Moved to Applied 12 generalizations about populations based on sample data Moved to Grade 9 ➡Dividing a polynomial by a binomial Moved to Pre-Cal 12
  • 38. NEW ➡Imperial units ➡Conversions between SI and imperial units ➡Increased emphasis on linear equations, functions, and associated graphs ➡Increased emphasis on contextual understanding of all content ➡Surface area of right cones, right cylinders, right prisms, and right pyramids Moved from Grade 9 ➡Factors of numbers by determining prime factors, GCF, LCM, square root, cube root Moved from Grade 9 ➡Systems of linear equations in two variables (graphically and algebraically) Moved from Applied 11
  • 39. Pacing Remember this? Chapter Outcomes Hours % Classes/80 1 Measurement Systems M1, M2 10 9.0% 7 2 Surface Area and Volume M3 5 4.5% 4 3 Right Triangle Geometry M4 10 9.0% 7 4 Exponents A1, A2, A3 10 9.0% 7 5 Polynomials A4, A5 15 13.6% 11 6 Linear Relations R1-5, R8 30 27.3% 22 7 Linear Equations and Graphs R6, R7 15 13.6% 11 8 Solving Systems of Linear R9 7 6.4% 5 Equations Graphically 9 Solving Systems of Linear R9 8 7.3% 6 Equations Algebraically 18 110 hrs 99.7% 80 Classes
  • 40. Differences in Manitoba ➡Scatter plots (Chapter 6? — Linear Relations & Functions) ➡Distance between two points (as an application of the Pythagorean Theorem, Chapter 3? — Right Angle Trig) ➡Midpoint of a line segment (Teacher supplemented material will be required)
  • 41. Differences in Manitoba ➡Scatter plots Outcome R7 (Chapter 6? — Linear Relations & Functions) ➡Distance between two points Outcome R10 (as an application of the Pythagorean Theorem, Chapter 3? — Right Angle Trig) ➡Midpoint of a line segment Outcome R10 (Teacher supplemented material will be required)
  • 42. Differences in Manitoba ➡Scatter plots Outcome R7 (Chapter 6? — Linear Relations & Functions) ➡Distance between two points Outcome R10 (as an application of the Pythagorean Theorem, Chapter 3? — Right Angle Trig) 19 ➡Midpoint of a line segment Outcome R10 (Teacher supplemented material will be required)
  • 43. New Curriculum is a Problem
  • 44. This New Curriculum is a Problem
  • 45. This New Curriculum is a Problem Applied 10
  • 46. This New Curriculum is a Problem Applied 10 Pre-Cal 10
  • 47. This New Curriculum is a Problem Applied 10 Applied & PC 10 Pre-Cal 10
  • 48. This New Curriculum is a Problem Applied 10 Applied & PC 10 Pre-Cal 10
  • 51. Textbook Structure Unit 1 Unit 2 Unit 3 Unit 4
  • 55. Math 10 Components Student Teacherʼs text TR Computerized Resource Assessment Bank Interactive Student Edition Student Exercise and Homework Book Solutions Interactive CD-ROM Teacherʼs Resource Exam Preparation Workbook
  • 59. Bridgestone Squirrel Superbowl Commercial http://www.youtube.com/watch?v=S5BZpSXO7WY Video Screencast by @dkuropatwa from Screenr.com Photo Credits http://www.youtube.com/watch?v=2hSGL-FVLHI Question mark http://www.flickr.com/photos/marcobellucci/3534516458/ IMG_1927 http://www.flickr.com/photos/duimdog/35438353/ Teacher Wang Zhi Yan (Angie) http://www.flickr.com/photos/drs2biz/66685691/ Teacher http://www.flickr.com/photos/benrussell/1477899923/ Confused Milli http://www.flickr.com/photos/jamarr/83530723/ Student and Teacher http://www.flickr.com/photos/wonderlane/37531816/ One Of These Buttons Will Get Me Out Of Here http://www.flickr.com/photos/cayusa/431036565/ CD http://www.flickr.com/photos/grytr/296878046/