Essentials Of Mathematics 12 Answer Key

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	012
Grade 10 Essential Mathematics (20S)	3000	20S	001
Grade 10 Introduction to Applied and Pre-Calculus Mathematics (20S)	3905	20S	000
Grade 11 Applied Mathematics (30S)	3903	30S	002
Grade 11 Essential Mathematics (30S)	3000	30S	001
Grade 11 Pre-Calculus Mathematics (30S)	3939	30S	002
Grade 12 Applied Mathematics (40S)	3903	40S	004A
Grade 12 Applied Mathematics (40S)	3903	40S	004B
Grade 12 Introduction to Calculus (45S)	3940	45S	001
Grade 12 Essential Mathematics (40S)	3000	40S	001A
Grade 12 Essential Mathematics (40S)	3000	40S	001B
Grade 12 Pre-Calculus Mathematics (40S)	3939	40S	003A
Grade 12 Pre-Calculus Mathematics (40S)	3939	40S	003B

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 (2012)

Course Preview ( 452 KB)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 - Continuous Intake

Course Code 0080 10F 012

Class # 826

Tutor/Marker: D. Bradford

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.

All assignments must be attempted, a minimum mark of 40% is required on all supervised pieces of assessment (midterm and final exam), and an overall final mark of 50% or greater must be obtained in order for the Distance Learning Unit to issue a final mark.

RESOURCES

Access Online

Coversheets are available in Blackboard Learn

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 452 KB) for required/suggested resources.

Option 2 - Mathématiques, 9e année (10F)

Grade 10 Essential Mathematics (20S) 1 credit (2012)

Course Preview ( 981 KB)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 - Continuous Intake

Course Code 3000 20S 001

Class # 866

Tutor/Marker: J. Voth

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%

RESOURCES

Access Online

Coversheets are available in Blackboard Learn

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 981 KB) for required/suggested resources.

Option 2 - Mathématiques au quotidien, 10e année (20S)

Grade 10 Introduction to Applied and Pre-Calculus Mathematics (20S) 1 credit (2011)

Course Preview ( 1.0 MB)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 - Continuous Intake

Course Code 3905 20S 000

Class # 1356

Tutor/Marker: I. Oleksuk

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 ( 1.0 MB).

RESOURCES

Access Online

Coversheets are available on Blackboard Learn.

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 1.0 MB) for required/suggested resources.

Option 2 - Introduction aux mathématiques appliquées et pré-calcul, 10e année (20S)

Grade 11 Applied Mathematics (30S) 1 credit (2016)

Course Code 3903 30S 002

Class # 1522

Tutor/Marker: L. Isaak

Course Preview ( 1.07 KB)
Recommended prerequisite — Grade 10 Introduction to Applied and Pre-Calculus Mathematics (20S).

Current Course Fees

Grade 11 Applied Mathematics is a continuation of the concepts you have studied in previous years, as well as an introduction to new topics. In this course, problem solving, communication, reasoning, and mental math are some of the themes you will discover in each module. You will explore several areas in this course, including linear and quadratic functions, logic and reasoning, geometry, trigonometry, statistics, and mathematical models.

This course is divided into eight modules, organized as follows:

Module 1: Quadratic Functions
Module 2: Mathematics Research Project
Module 3: Reasoning to Solve Problems
Module 4: Geometry of Angles and Triangles
Module 5: Trigonometry
Module 6: Statistics
Module 7: Mathematical Models
Module 8: Scale Factors for 2-D and 3-D Shapes

Evaluation is based on:

Assignments	55%
Midterm Exam (Modules 1-4)	20%
Final Exam (Modules 5-8)	25%
Total	100%

RESOURCES

Access Online

Coversheets are available in Blackboard Learn
Course Files are available in Blackboard Learn*

*If a hard copy is required, please contact the DLU.

Required

To complete this course, you will require a graphing calculator or access to computer software applications for graphing and financial mathematics operations. To write your examinations, you will need access to the same resources that you used for the modules.

Examinations

When you schedule the midterm examination you will be asked to specify one graphing app or graphing technology and, when you schedule the final examination, you will be asked to specify one graphing app or graphing technology and one statistics app or statistics technology. Make sure your tutor/marker has approved your choices prior to writing the examinations and that your exam proctor is aware of the app or technology that you will be using. Arranging this when you schedule your examination should allow sufficient time to ensure the app or technology has been approved and can be installed if required. When you write your midterm and final examinations, you will be allowed to take an Exam Resource Sheet with you into the exam. This sheet will be one letter-sized page, 8 1/2" by 11", and can be handwritten or typewritten. Both sides of the page may be filled. It is to be submitted with your exam. The Exam Resource Sheet is not worth any marks.

Each examination is 2.5 hours in duration.

Practice Exams and Answer Keys (also available in Blackboard)

Grade 11 Essential Mathematics (30S) 1 credit (2014)

Course Preview ( 1.0 MB)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 - Continuous Intake

Course Code 3000 30S 001

Class # 1390

Tutor/Marker: J. Voth

Note: Students may not hold credit in either of the former Consumer Mathematics 35G Part III and Part IV (code 3913/3914) and/or Consumer Math 30S (code 3904) course, and the new Grade 11 Essential Mathematics (code 3000).

The Grade 11 Essential Mathematics course builds on the knowledge and skills students gained while studying Grade 10 Essential Mathematics. In general, the Essential Math curriculum emphasizes consumer applications, problem solving, decision making, and spatial sense. The specific topics studied in Grade 11 are listed below. After completing this course, the students will be well-prepared to complete Grade 12 Essential Mathematics. It is structured as follows:

Module 1: Interest and Credit
Module 2: 3-D Statistics
Module 3: Statistics
Module 4: Managing Money
Module 5: Relations and Patterns
Module 6: Trigonometry
Module 7: Design Modelling

Evaluation is based on:

Assignments	75%
Midterm Exam (Modules 1-3)*	12.5%
Final Exam (Modules 4-7)*	12.5%
Total	100%

RESOURCES

Access Online

Coversheets are available in Blackboard Learn.
Course Files are available in Blackboard Learn.*
Module 7 Colour Files are available in Blackboard Learn.

* If a hard copy is required, please contact the DLU.

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 1.0 MB) for required/suggested resources.

Option 2 - Mathématiques au quotidien, 11e année (30S)

Grade 11 Pre-Calculus Mathematics(30S) 1 credit (2013)

Course Preview (

1.01 MB)

Recommended prerequisite—Grade 10 Pre-Calculus Mathematics (20S) OR Grade 10 Introduction to Applied and
Pre-Calculus Mathematics (20S)

Current Course Fees

Select thebeside the desired option to access the Register Now button.

Option 1 - Continuous Intake

Course Code 3939 30S 002

Class # 871

Tutor/Marker: I. Oleksuk

The Grade 11 Pre-Calculus Mathematics course builds upon the pre-calculus topics that students were introduced to in the Grade 10 Introduction to Applied and Pre-Calculus Mathematics. There are three main areas that students will be exploring: Number, Patterns and Relations, and Shape and Space. Problem solving, communication, reasoning and mental math are some of the themes students will discover in each module. After completing this course, the students will be well-prepared to complete the Grade 12 Pre-Calculus Mathematics. It is structured as follows:

Module 1: Sequences and Series
Module 2: Factoring and Relational Expressions
Module 3: Quadratic Functions
Module 4: Solving Quadratic Functions
Module 5: Radicals
Module 6: Systems of Equations and Inequalities
Module 7: Trigonometry
Module 8: Absolute Value and Reciprocal Functions

Evaluation is based on:

Assignments	55%
Midterm Exam (Modules 1-4)*	20%
Final Exam (Modules 1-8)*	25%
Total	100%

* 80% of the final exam covers the content in Modules 5-8

* When students write their midterm and final exam, they will be allowed to take an Exam Resource Sheet into the examination room.

RESOURCES

Access Online

Coversheets are available in Blackboard Learn.
Course Files are available in Blackboard Learn.*

* If a hard copy is required, please contact the DLU.

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview (1.01 MB) for required/suggested resources.

Option 2 - Mathématiques pré-calcul, 11e année (30S)

Grade 12 Applied Mathematics (40S) 1 credit (2018)

Course Preview ( 1.16 MB)
Recommended prerequisite—Grade 11 Applied Mathematics (30S)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 – Continuous Intake

Course Code 3903 40S 004A

Tutor/Marker: B. Hildebrand

Class # 1538

Style: Continuous Intake - Students are required to pace themselves through the course. Students are allowed 12 months to complete the credit.

Available for Registrations:

2018: September, November.
2019: January, March, May, July, September, November.

Option 2 – Continuous Intake

Course Code 3903 40S 004B

Class # 1539

Tutor/Marker: L. Isaak

Style: Continuous Intake - Students are required to pace themselves through the course. Students are allowed 12 months to complete the credit.

Available for Registrations:

2018: October, December
2019: February, April, June, August, October, December

Option 3 – Paced

Course Code 3903 40S 004

Class # 1553

Tutor/Marker: B. Hildebrand

Paced – Class begins September 2018. Registration accepted until October 31, 2018. This course is a paced class. If you are a student that needs to complete this course independently, but prefers the structure of having assignment due dates, this class is the class for you. Adhering to the assignments due dates will ensure that the credit is completed by May, in time for a June Graduation.

Assignment Due Dates:

Module 1: Due November 15, 2018
Module 2: Due December 31, 2018
Module 3 and 4: Due January 3, 2019
Midterm Exam: Due February 15, 2019
Module 5 and 6: Due March 31, 2019
Module 7 and 8: Due April 30, 3019
Final Exam: Due May 15, 2019

Option 4 – Paced

Course Code 3903 40S 004

Class # 1554

Tutor/Marker: B. Hildebrand

Style: Paced – Class begins January 2019. Registration accepted until February 28, 2019. This course is a paced class. If you are a student that needs to complete this course independently, but prefers the structure of having assignment due dates, this class is the class for you. Adhering to the assignments due dates will ensure that the credit is completed by May, in time for a June Graduation.

Assignment Due Dates:

Module 1: Due February 15, 2019
Module 2: Due February 28, 2019
Module 3 and 4: Due March 15, 2019
Midterm Exam: Due March 31, 2019
Module 5 and 6: Due April 15, 2019
Module 7 and 8: Due April 30, 3019
Final Exam: Due May 15, 2019

Grade 12 Applied Mathematics is a continuation of the concepts you have studied in previous years, as well as an introduction to new topics. In this course, problem solving, communication, reasoning, and mental math are some of the themes you will discover in each module. There are several areas that you will explore in this course, including linear and non-linear functions, probability, counting techniques, finance, and design and measurement.

This course is divided into eight modules, organized as follows:

Module 1: Functions
Module 2: Mathematics Research Project
Module 3: Logical Reasoning
Module 4: Probability
Module 5: Financial Mathematics
Module 6: Techniques of Counting
Module 7: Sinusoidal Functions
Module 8: Design and Measurement

Evaluation is based on:

Assignments	55%
Midterm Exam (Modules 1-4)	20%
Final Exam (Modules 5-8)	25%
Total	100%

RESOURCES

Access Online

Coversheets are available in Blackboard Learn
Course Files are available in Blackboard Learn*

* If a hard copy is required, please contact the DLU.

Examinations

You will be asked on the day of the midterm examination to specify one graphing app or graphing technology and, on the day of the final examination, you will be asked to specify one graphing app or graphing technology and one financial app or financial technology. Make sure your tutor/marker has approved your choices prior to writing the examinations. When you write your midterm and final examinations, you will be allowed to take an Exam Resource Sheet with you into the exam. This sheet will be one letter-sized page, 8½ " x 11", and can be handwritten or typewritten. Both sides of the page may be filled. It is to be submitted with your exam. The exam Resource Sheet is not worth any marks. Each examination is 3 hours in duration.

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 1.16 MB) for required/suggested resources.

Grade 12 Applied Mathematics (40S) 1 credit (2015) Extensions Only

Course Preview ( 1.16 MB)
Recommended prerequisite—Grade 11 Applied Mathematics (30S)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 – Extensions Only

Course Code 3903 40S 003A

Class # 1499

Tutor/Marker: B. Hildebrand

Style: Extensions Only

Option 2 – Extensions Only

Course Code 3903 40S 003B

Class # 1500

Tutor/Marker: L. Isaak

Style: Extensions Only

This course is divided into eight modules, organized as follows:

Module 1: Functions
Module 2: Mathematics Research Project
Module 3: Logical Reasoning
Module 4: Probability
Module 5: Financial Mathematics
Module 6: Techniques of Counting
Module 7: Sinusoidal Functions
Module 8: Design and Measurement

Evaluation is based on:

Assignments	55%
Midterm Exam (Modules 1-4)	20%
Final Exam (Modules 5-8)	25%
Total	100%

RESOURCES

Access Online

Coversheets are available in Blackboard Learn
Course Files are available in Blackboard Learn*

* If a hard copy is required, please contact the DLU.

Examinations

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 1.16 MB) for required/suggested resources.

Grade 12 Introduction to Calculus (45S) 1/2 credit (2015)

Course Code 3940 45S 001

Class # 1449

Tutor/Marker: C. Bilyk

Course Preview ( 409 KB)
Recommended prerequisite—Grade 12 Pre-Calculus Mathematics (40S)

Current Course Fees

This course is an optional course. It builds on the topics that were introduced in Grade 12 Pre-Calculus Mathematics. 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. Students are introduced to the concepts of limits, derivatives, applications of derivatives and integration. In this course, problem-solving, communication, reasoning, and mental math are some of the themes in each module. It is structured as follows:

Unit 1: Limits
Unit 2: Derivative
Unit 3: Applications of Derivatives
Unit 4: Integration

Evaluation is based on:

Assignments	55%
Final Exam (Modules 1-4)	45%
Total	100%

RESOURCES

Access Online:

Coversheets are available in Blackboard Learn.
Course Files are available in Blackboard Learn.*

* If a hard copy is required, please contact the DLU.

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 886 KB) for required/suggested resources.

Grade 12 Essential Mathematics (40S) 1 credit (2014)

Course Preview ( 1.19 MB)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 – Continuous Intake

Course Code 3000 40S 001A

Class # 1389

Tutor/Marker: D. Bradford

This course is open to new registrations during the months of January, March, May, July, September or November. For new registrations in the months of February, April, June, August, October or December register in class 1443.

Option 2 – Continuous Intake

Course Code 3000 40S 001B

Class # 1443

Tutor/Marker: L. Isaak

Course Preview ( 1.19 MB)

Current Course Fees

This course is open to new registrations during the months of February, April, June, August, October or December. For new registrations in the months of January, March, May, July, September or November register in class 1389.

Option 3 - Mathématiques au quotidien, 12e année (40S)

Note: Students may not hold credit in either of the former Consumer Mathematics 45S Part V and Part VI (code 3915/3916) and/or Consumer Math 40S (code 3904) course, and the new Grade 12 Essential Mathematics (code 3000).

The Grade 12 Essential Mathematics course builds on the knowledge and skills students acquired while studying Grade 11 Essential Mathematics. In this course students will investigate new ideas and concepts while building the confidence needed to make decisions and solve problems related to consumer applications of mathematics. It is structured as follows:

Module 1: Home Finance
Module 2: Geometry and Trigonometry
Module 3: Business and Finance
Module 4: Probability
Module 5: Vehicle Finance
Module 6: Career Life
Module 7: Statistics
Module 8: Precision Measurement

Evaluation is based on:

Assignments	75%
Midterm Exam (Modules 1-4)*	12.5%
Final Exam (Modules 5-8)*	12.5%
Total	100%

RESOURCES

Access Online

Coversheets are available on Blackboard Learn

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 1.19 MB) for required/suggested resources.

Grade 12 Pre-Calculus Mathematics (40S) 1 credit (2016)

Course Preview ( 996 KB)
Recommended prerequisite—Grade 11 Pre-Calculus Mathematics (30S)

Current Course Fees

Registration Options (Choose 1)

Select thebeside the desired option to access the Register Now button.

Option 1 – Continuous Intake

Course Code 3939 40S 003A

Class # 1515

Tutor/Marker: C. Bilyk

Style: Continuous Intake - Students are required to pace themselves through the course. Students are allowed 12 months to complete the credit.

Available for Registrations:

2018: September, November.
2019: January, March, May, July, September, November.

Option 2 – Continuous Intake

Course Code 3939 40S 003B

Class # 1516

Tutor/Marker: J. Voth

Style: Continuous Intake - Students are required to pace themselves through the course. Students are allowed 12 months to complete the credit.

Available for Registrations:

2018: October, December
2019: February, April, June, August, October, December

Option 3 – Paced

Course Code 3939 40S 003A

Class # 1555

Tutor/Marker: C. Bilyk

Assignment Due Dates:

Module 1: Due November 15, 2018
Module 2: Due December 31, 2018
Module 3 and 4: Due January 31, 2019
Midterm Exam: Due February 15, 2019
Module 5: Due March 15, 2019
Module 6 and 7: Due April 15, 2019
Module 7: Due April 15, 2019
Module 8:Due April 30, 2019
Final Exam: Due May 15, 2019

Option 4 – Paced

Course Code 3939 40S 003A

Class # 1556

Tutor/Marker: C. Bilyk

Assignment Due Dates:

Module 1: Due February 15, 2019
Module 2: Due February 15, 2019
Module 3 and 4: Due February 28, 2019
Midterm: Due March 15, 2019
Module 5 and 6: Due March 30, 2019
Module 7: Due April 15, 2019
Module 8: Due April 30, 2019
Final Exam: Due May 15, 2019

The Grade 12 Pre-Calculus Mathematics course builds upon the topics that students were introduced to in Grade 11 Pre-Calculus Mathematics. There are three main areas that students will be exploring: Number, Patterns and Relations, and Shape and Space. Problem solving, communication, reasoning and mental math are some of the themes students will discover in each module. This course helps students develop the skills, ideas, and confidence to continue to study math in the future. It is structured as follows:

Module 1: Permutations, Combinations, and the Binomial Theorem
Module 2: Function Transformations
Module 3: Reflections
Module 4: Polynomials
Module 5: Trigonometric Functions and Unit Circle
Module 6: Trigonometric Equations and Identities
Module 7: Exponents and Logarithms
Module 8: Radical and Rational Functions

Evaluation is based on:

Assignments	55%
Midterm Exam (Modules 1-4)*	20%
Final Exam (Modules 1-8)*	25%
Total	100%

*80% of the final exam covers the content in Modules 5-8.

* When students write their midterm and final exam, they will be allowed to take an Exam Resource Sheet into the examination room.

RESOURCES

Access Online

Coversheets are available in Blackboard Learn.
Course Files are available in Blackboard Learn.*

* If a hard copy is required, please contact the DLU.

Practice Exams and Answer Keys (also available in Blackboard)

See Course Preview ( 996 KB) for required/suggested resources.