Manitoba Education
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Distance Learning
Independent Study Option
Mathematics
The Independent Study Option offers the following courses in Mathematics. Please list the Subject Code, Subject Designation, and the ISO Designation on the application to identify the course(s) required.
| Course Name | Subject Code | Subject Designation | ISO Designation |
|---|---|---|---|
| Grade 9 Mathematics (10F) | 0080 | 10F | 011 |
Grade 10 Essential Mathematics(20S)  |
3000 | 20S | 000 |
| Grade 10 Introduction to Applied and Pre-Calculus Mathematics (20S) |
3905 | 20S | 000 |
| Grade 11 Applied Mathematics (30S) | 3903 | 30S | 001 |
| Grade 11 Consumer Mathematics Part III (35S) | 3913 | 35S | 000 |
| Grade 11 Consumer Mathematics Part IV (35S) | 3914 | 35S | 000 |
| Grade 11 Pre-Calculus Mathematics (30S) | 3939 | 30S | 001 |
| Grade 12 Applied Mathematics (40S) | 3903 | 40S | 002 |
| Grade 12 Calculus (45S) | 3940 | 45S | 000 |
| Grade 12 Consumer Mathematics Part V (45S) | 3915 | 45S | 001 |
| Grade 12 Consumer Mathematics Part VI (45S) | 3916 | 45S | 001 |
| Grade 12 Pre-Calculus Mathematics (40S) | 3939 | 40S | 001 |
Each listing of a subject name is followed by a unique 10-digit code made up of three parts:
- Subject code. A 4-digit number that identifies each subject.
- Subject designation. A 3-character code that identified the grade and level of a course.
- ISO designation. A 3-digit number that identifies the course version.
Grade 9 Mathematics (10F) 1 credit (2010)
Course Code 0080 10F 011
Record of Progress (
59 KB)
Course Preview ( 189 KB)
This course develops foundation skills and ideas that you will need to continue studying math in the future. Problem solving, communication, reasoning and mental math are some of the themes you will discover in each module. There are four main areas you will be exploring: numbers, relations and patterns, geometry and statistics and probability. After completing this course, you will have gained critical skills and knowledge that you will need for future math learning and confidence in your abilities as a mathematician. It is structured as follows:
- Module 1: Statistics
- Module 2: Number Sense
- Module 3: Powers
- Module 4: Polynomials
- Module 5: Linear Relations
- Module 6: Circle Geometry
- Module 7: 2D and 3D Objects
- Module 8: Symmetry
Evaluation is based on
| Assignments | 60% |
| Midterm exam (Modules 1-4) | 15% |
| Final exam (Modules 1-8)* | 25% |
| Total | 100% |
* When students write their midterm and final exam, they will be allowed to take an Exam Resource Sheet into the examination room. More information is provided in the Course Introduction found in the Course Preview
Practice midterm and final exams (along with answer keys) are available on our ISO Downloads page.
Required Resources
- Scientific Calculator*
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator. - Metric Ruler
- Protractor
- Graph Paper
Suggested Resources
- Access to the Internet is recommended as the course will make reference to support material found on the Internet. Students also have the ability to email their assignments for marking.
- Newspapers or magazines
- A photocopier to make a copy of your assignments prior to mailing it to your tutor/marker.
Grade 10
Essential Mathematics (20S) 1 credit (2011)
Course Code 3000 20S 000
Record of Progress ( 57 KB)
Course Preview ( 909 KB)
Note: Students may not hold credit in either of the former Consumer Mathematics 25G Part I and Part II (code 3911/3912) and/or Consumer Math 20S (code 3904) course, and the new Grade 10 Essential Mathematics (code 3000).
This course develops math skills, ideas, and confidence that will enable students to continue studying math in the future. Students will use many of the skills that they already have learned to solve problems and do basic arithmetic operations.There are four main areas that will be explored in this course: personal finance, shapes and space, numbers and decision making. Problem solving, communication, reasoning, and mental math are some of the themes you will discover in each module. It is structured as follows:
- Module 1: Gross Pay, Time Cards and Percents
- Module 2: Net Pay
- Module 3: Measurement
- Module 4: Geometry
- Module 5: Working with Angles
- Module 6: Consumer Decisions
- Module 7: Trigonometry
- Module 8: Transformations
Evaluation is based on
| Assignments | 75% |
| Midterm Exam (Modules 1-4)* | 12.5% |
| Final Exam (Modules 5-8)* | 12.5% |
| Total | 100% |
* When students write their midterm and final exam, they will be allowed to take an Exam Resource Sheet into the examination room. More information is provided in the Course Introduction found in the Course Preview
Practice midterm and final exams (along with answer keys) are available on our ISO Downloads page.
Required Resource
- Scientific Calculator*
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator. - Metric Ruler (15 cm long)
- Imperial Ruler (6 inches long)
- Geometry set including a set of compasses, a protractor, and a set square
Suggested Resources
- Access to a computer with spreadsheet and graphing capabilities will be an advantage, but not a requirement. If students do not have access to an online computer they will be able to complete the related learning activities and assignments without it.
- Access to the Internet is recommended as the course will make reference to support material found on the Internet.
- A photocopier to make a copy of your assignment prior to mailing it to your tutor/marker.
Grade 10
Introduction to Applied and Pre-Calculus Mathematics (20S) 1 credit (2011)
Course Code 3905 20S 000
Record of Progress ( 173 KB)
Course Preview ( 1 MB)
Note: Students may not hold credit in either of the former Grade 10 Pre-Calculus (code 3939) and/or Grade 10 Applied 20S (code 3903) course, and the new Grade 10 Introduction to Pre-Calculus Mathematics (code 3905).
This course is a continuation of concepts that have been studied in Grade 9 mathematics, and introduces new topics. It is the foundation for both applied and pre-calculus mathematics courses at the Grade 11 and 12 levels. There are four main areas that will be covered in this course: Numbers, Patterns and Relations, Shape and Space, and Statistics and Probability. Problem solving, communication, reasoning, and mental math are some of the themes that are explored in each module. It is structured as follows:
- Module 1: Graphs and Relations
- Module 2: Number Sense
- Module 3: Measurement
- Module 4: Trigonometry
- Module 5: Relations and Functions
- Module 6: Polynomials
- Module 7: Coordinate Geometry
- Module 8: Systems and Equations
Evaluation is based on
| Assignments | 55% |
| Midterm Exam (Modules 1-4)* | 20% |
| Final Exam (Modules 1-8)* | 25% |
| Total | 100% |
* When students write their midterm and final exam, they will be allowed to take an Exam Resource Sheet into the examination room. More information will be provided in the Course Introduction found in the Course Preview ( 1 MB).
Practice midterm and final exams (along with answer keys) are available on our ISO Downloads page.
Required Resource
- Scientific Calculator*
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator. - Metric Ruler (15 cm long)
- Imperial Ruler (6 inches long)
- Protractor
- Metre or yard stick
- Tape measure
- Graph paper
Suggested Resources
- Access to a computer with spreadsheet and graphing capabilities will be an advantage, but not a requirement. If students do not have access to an online computer they will be able to complete the related learning activities and assignments without it.
- Access to the Internet is recommended as the course will make reference to support material found on the Internet.
- A photocopier to make a copy of your assignment prior to mailing it to your tutor/marker.
Grade 11 Applied Mathematics (30S)
1 credit (2001)
Course Code 3903 30S 001
Record of Progress ( 52 KB)
Recommended prerequisite—Grade 10 Applied Mathematics (20S)
Note: The tentative date for the Grade 11 Applied Mathematics course release that is congruent with the NEW math curriculum is in 2014.
Voluntary Implementation for schools: 2009-2011
System-wide Implementation for schools: 2011-2012
Access to a computer and a spreadsheet program is essential for completing the course as well as both the midterm and final exams. The course is divided into eight modules. It is structured as follows:
- Module 1: Graphing and Systems of Equation
- Module 2: Linear Programming
- Module 3: Nonlinear Functions
- Module 4: Personal Finance
- Module 5: Budgets and Investments
- Module 6: Precision Measurement
- Module 7: Geometry
- Module 8: Data Management and Analysis
Evaluation is based on
| Module 1: Project | 5% |
| Module 2: Test | 10% |
| Module 3: Project | 5% |
| Midterm Exam (Modules 1-4) | 20% |
| Module 5: Project | 5% |
| Module 6: Test | 10% |
| Module 7: Project | 5% |
| Final Exam (Modules 1-8) | 40% |
| Total | 100% |
Suggested Resource
- Graphing Calculator* (5476) MTBB
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator.
Grade 11 Consumer Mathematics
Part III (35S) 1/2 credit (2007)
Course Code 3926 35S 000
Grade 11 Consumer Mathematics Part
IV (35S) 1/2 credit (2007)
Course Code 3927 35S 000
Record of Progress ( 57 KB)
Note: The tentative date for the Grade 11 Essential Mathematics course release that is congruent with the NEW math curriculum is in 2012.
Voluntary Implementation for schools: 2009-2011
System-wide Implementation for schools: 2011-2012
Note: Part III and IV will be sold together for the cost of a full credit course.
Part III emphasizes consumer applications, problem solving, and decision making, as well as number sense and number use.
Evaluation is based on
| Module 1: Income | 18.75% |
| Module 2: Statistics | 18.75% |
| Module 3: Buying on Credit | 18.75% |
| Module 4: Relations and Formulas | 18.75% |
| Final Exam (after Module 4) | 25% |
| Total | 100% |
Provided Resource (student registrations only)
- Managing Money
Video
- CD-0688—Credit Cards: Living with Plastic
$5.50 plus GST and PST
Part IV emphasizes consumer applications, problem solving, and decision making, as well as number sense and number use. It is divided into four modules dealing with the following topics: cost of operating a vehicle, probability, income tax, and measurement. Problem analysis and analysis of games and numbers are integrated throughout the course. Access to a computer is essential for completing Module 7.
Evaluation is based on
| Module 5: Cost of Operating a Vehicle | 18.75% |
| Module 6: Probability | 18.75% |
| Module 7: Income Tax | 18.75% |
| Module 8: Measurements | 18.75% |
| Final Exam (after Module 8) | 25% |
| Total | 100% |
Provided Resources (student registrations only)
- Buying a Car or visit www.rbcroyalbank.com/buyingacar
- General Income Tax Forms ’02
- General Income Tax Guide ’02
- Teaching Taxes ’02
Provided Resource
- Quicktax '02 Software (works on computers with Windows XP operating systems; may not work on Mac or other operating systems)
Trouble shooting Quicktax information sheet found on the Course Files/Downloads page.
Suggested Resources
- Micrometer Calipers (6307) MTBB
- Steel Ruler 12" (Metric and Imperial) (6322) MTBB
- Vernier Calipers (choose one) (6335) or (6310) MTBB
ISO does not provide techical support for hardware related issues; consult your Tutor/Marker for software support. If further trouble shooting is required you may have to consult the software manfacturer or a professional computer technician.
Grade 11 Pre-Calculus Mathematics
(30S) 1 credit (2008)
Course Code 3939 30S 001
Record of Progress ( 49 KB)
Course Preview ( 182 KB)
Recommended prerequisite—Grade 10 Pre-Calculus Mathematics (20S) OR Grade 10 Introduction to Applied and Pre-Calculus Mathematics (20S)
Note: The tentative date for the Grade 11 Pre-Calculus Mathematics course release that is congruent with the NEW math curriculum is in 2013.
Voluntary Implementation for schools: 2009-2011
System-wide Implementation for schools: 2011-2012
This course is designed for students who intend to study calculus and related mathematics as part of their post-secondary education. The course is designed primarily as a high-level study of theoretical mathematics with an emphasis on problem solving and mental mathematics. It is structured as follows:
- Module 1: Quadratic Functions
- Module 2: Trigonometry
- Module 3: Algebra
- Module 4: Geometry
- Module 5: Analytic Geometry
- Module 6: Consumer Mathematics
- Module 7: Logic/Proof
- Module 8: Functions
Evaluation is based on
| Test 1 | 10% |
| Test 3 | 10% |
| Midterm Exam (Modules 1-4) | 20% |
| Test 5 | 10% |
| Test 8 | 10% |
| Final Exam (Modules 1-8) | 40% |
| Total | 100% |
Suggested Resources
- Graphing Calculator* (5476) MTBB
- Scientific Calculator* (with trigonometric
functions)
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator.
Grade 12 Applied Mathematics (40S)
1 credit (2002)
Course Code 3903 40S 002
Record of Progress ( 52 KB)
Recommended prerequisite—Grade 11 Applied Mathematics
(30S)
Note: The tentative date for the Grade 12 Applied Mathematics course release that is congruent with the NEW math curriculum is in 2014.
Voluntary Implementation for schools: 2010-2012
System-wide Implementation for schools: 2012-2013
Access to a computer and a spreadsheet program, the Paint feature of Windows, the Internet and email is essential for completing the course as well as both the midterm and final exams. It is structured as follows:
- Module 1: Matrices
- Module 2: Vectors
- Module 3: Design and Measurement
- Module 4: Probability
- Module 5: Periodic Functions
- Module 6: Personal Finance
- Module 7: Sequences
- Module 8: Statistics
Evaluation is based on
| Module 1: Project | 5% |
| Module 2: Test | 10% |
| Module 3: Project | 5% |
| Midterm Exam (Modules 1-4) | 20% |
| Module 5: Project | 5% |
| Module 6: Test | 10% |
| Module 7: Project | 5% |
| Final Exam (Modules 1-8) | 40% |
| Total | 100% |
Provided Resources
- General Income Tax Guide ’02
- Quicktax ’02 Software (works on computers with Windows XP operating systems; may not work on Mac or other operating systems)
Trouble shooting Quicktax information sheet found on the Course Files/Downloads page. - Teaching Taxes ’02
- Grade 12 Applied Mathematics Shareware CD includes
Curve Expert, Euklid, Winmat and Winstats (provided with student registrations only)
For those purchasing the course as reference Shareware CD is not provided, however, Curve Expert or Winplot (similar to Winmat) is accessible via the internet at:
http://curveexpert.webhop.net or http://math.exeter.edu/rparris/
There are a number of graphical analysis software programs that are available online that can be downloaded onto computers or electronic devises instead of using the recommended software.
Suggested Resources
- Graphing Calculator* (5476) MTBB
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator.
ISO does not provide technical support for hardware related issues; consult your Tutor/Marker for software support. If further trouble shooting is required you may have to consult the software manufacturer or a professional computer technician.
Grade 12 Calculus (45S) 1/2 credit (1995)
Course Code 3940 45S 000
Record of Progress ( 39 KB)
Recommended prerequisite—Grade 12 Pre-Calculus Mathematics (40S)
Note: This course will continue to be available
This course is an optional course. The prime objective of this course is to introduce the student to areas of mathematics which will be studied in depth in post-secondary programs. In this half-credit course, students will be introduced to the concepts of limits, derivative of a function, applications of derivatives and integration.
Grade 12 Calculus (45S) is not to be substituted
for Grade 12 Pre-Calculus Mathematics.
It is structured as follows:
- Unit 1: Limits
- Unit 2: Derivative
- Unit 3: Applications of Derivatives
- Unit 4: Integration
Evaluation is based on
| Final exam (after Unit 4) | 100% |
Grade 12 Consumer Mathematics Part
V (45S) 1/2 credit (2002)
Course Code 3915 45S 001
Grade 12 Consumer Mathematics Part
VI (45S) 1/2 credit (2002)
Course Code 3916 45S 001
Record of Progress ( 60 KB)
Note: The tentative date for the Grade 12 Essential Mathematics course release that is congruent with the NEW math curriculum is in 2013.
Voluntary Implementation for schools: 2010-2012
System-wide Implementation for schools: 2012-2013
Note: Part V and VI will be sold together for the cost of a full credit course.
Access to a computer and internet is essential for completing the course.
Part V emphasizes consumer applications, problem solving, and decision making, as well as number sense and number use.
Evaluation is based on
| Module 1: Personal Finance | 18.75% |
| Module 2: Government Finances | 18.75% |
| Module 3: Design and Measurement | 18.75% |
| Module 4: Statistics | 18.75% |
| Final Exam (after Module 4) | 25% |
| Total | 100% |
Provided Resource (student registrations only)
- Buying a Home or visit www.rbcroyalbank.com/buyingahome
Suggested Resources
- ¼” Graph Paper
- Scientific Calculator*(with
an abc key)
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator. - Steel Ruler 12" (Metric and Imperial) (6322) MTBB
Part VI emphasizes consumer applications, problem solving, and decision making, as well as number sense and number use.
Evaluation is based on
| Module 5: Investments | 18.75% |
| Module 6: Career Life Project | 18.75% |
| Module 7: Income Tax | 18.75% |
| Module 8: Variation and Formulas | 18.75% |
| Final Exam (after Module 8) | 25% |
| Total | 100% |
Provided Resources (student registrations only)
- General Income Tax Forms ’02
- General Income Tax Guide ’02
- Money and Youth Booklet
- Teaching Taxes ’02
Provided Resource
- Quicktax ’02 Software (works on computers with Windows XP operating systems; may not work on Mac or other operating systems)
Trouble shooting Quicktax information sheet found on the Course Files/Downloads page.
Suggested Resource
- Scientific Calculator* (with an abc key)
*Calculator software/apps can be downloaded onto computers or electronic devises instead of using the recommended calculator.
ISO does not provide technical support for hardware related issues; consult your Tutor/Marker for software support. If further trouble shooting is required you may have to consult the software manufacturer or a professional computer technician.
Grade 12 Pre-Calculus Mathematics
(40S) 1 credit (2007)
Course Code 3939 40S 001
Record of Progress ( 50 KB)
Course Preview ( 230 KB)
Recommended prerequisite—Grade 11 Pre-Calculus Mathematics (30S)
Note: The tentative date for the Grade 12 Pre-Calculus Mathematics course release that is congruent with the NEW math curriculum is in 2014.
Voluntary Implementation for schools: 2010-2012
System-wide Implementation for schools: 2012-2013
This course is designed for students who intend to study calculus and related mathematics as part of their post-secondary education. The course is designed primarily as a high-level study of theoretical mathematics with an emphasis on problem solving and mental mathematics. It is structured as follows:
- Module 1: Transformations
- Module 2: Circular Functions I
- Module 3: Circular Functions II
- Module 4: Exponential and Logarithmic Functions I
- Module 5: Exponential and Logarithmic Functions II
- Module 6: Permutations and Combinations
- Module 7: Probability
- Module 8: Conic Sections
Evaluation is based on
| Test 1 | 10% |
| Test 3 | 10% |
| Midterm Exam (Modules 1-4) | 20% |
| Test 5 | 10% |
| Test 7 | 10% |
| Final Exam (Modules 1-8) | 40% |
| Total | 100% |
Suggested Resources
- Graphing Calculator (5476) MTBB
or - Scientific Calculator (with trigonometric functions)
