Mathematics

Foundations and Pre-Calculus 10 Online

Course Info
Course Title: 
Foundations and Pre-Calculus 10 Online
Grade Level: 
10
Course Format: 
Online
Teacher(s): 
B Chirico
Course Description
Description: 

Foundations and Pre-Calculus 10 is a continuation of junior level mathematics.  It is designed to provide students with the mathematical understanding and critical-thinking skills identified for post-secondary studies.  By the end of Foundations and Pre-Calculus 10, you will be prepared to decide whether to continuing along the Foundations pathway or the Pre-Calculus pathway for Grade 11.

Pre-requisites: 
It is recommended that you have completed Math 9 prior to registering for Foundations and Pre-Calculus 10
No. Exams: 
4
Supervised Exams: 
Yes
Resources: 

All the resoures that are required for the course are contained in the course.

No. Modules: 
4
Course Modules: 

Module 1:  Numbers and Algebra - a focus on the big ideas that algebra allows us to generalize relationships through abstract thinking and that the meanings of, and connections between, each operation extend to powers and polynomials.

Module 2:  Sequences, Functions and Relations - A focus on the big idea that representing and analyzing situations allows us to notice and wonder about relationships.

Module 3:  Linear Functions and Systems - A focus on the big idea that constant rate of change is an essential attribute of linear relations and has meaning in different representations and contexts.

Module 4:  Trigonometry and Finance - A focus on the big idea that trigonometry involves using proportional reasoning to solve indirect measurement problems.

 

Literacy Foundations: Math Level 5 Online

Course Info
Course Title: 
Literacy Foundations: Math Level 5 Online
Grade Level: 
10
Course Format: 
Online
Teacher(s): 
S Hayes
Course Description
Description: 

This course is designed as a review course for students wanting
to take Foundations and Pre Calculus Math 10 or Apprenticeship and Workplace
Math 11.  It is a non credit course that will help students review and learn concepts covered in the Literacy Foundations Math 5 IRP.  The course is broken into 2 parts.

 

Section 1: Integers, Fractions, Percents, Square Roots,
Exponents and Ratios. 

Section 2: Linear Relationships, Measurement, Prisms, Cylinders, Cones, Nets,
Statistics and Probability.

Pre-requisites: 
None
No. Exams: 
2
Supervised Exams: 
Yes
Resources: 

Internet Access

No. Modules: 
2
Course Modules: 

1

Integers

2

Fractions

3

Percents

4

Square Roots & Exponents

5

Ratios

6

Linear Relationships

7

Meaurement

8

Prisms, Cylinders, Cones & Pyramids

9

Nets

10

Statistics & Probability

Literacy Foundations: Math Level 6 Online

Course Info
Course Title: 
Literacy Foundations: Math Level 6 Online
Grade Level: 
10
Course Format: 
Online
Teacher(s): 
S Hayes
Course Description
Description: 

The aim of the Literacy Foundations Mathematics courses is to help students develop the knowledge and skills that they need to be successful in Apprenticeship and Workplace Mathematics 11 courses or to be sufficiently prepared to successfully write the Mathematics section of the GED examination.  (Ministry of Education, 2000).

Pre-requisites: 
None
No. Exams: 
2
Supervised Exams: 
No
Resources: 

No textbook is required for this course

 

No. Modules: 
2
Course Modules: 

Section 1

Lesson 1: Integers

Lesson 2: Fractions

Lesson 3: Radicals

Lesson 4: Percentages

 

Section 2

Lesson 5: Ratios

Lesson 6: Patterns and Graphing

Lesson 7: Trigonometry

Lesson 8: Measurement

 

 

Literacy Foundations: Math Level 7 Online

Course Info
Course Title: 
Literacy Foundations: Math Level 7 Online
Grade Level: 
10
Course Format: 
Online
Teacher(s): 
S Hayes
Course Description
Description: 

The aim of the Literacy Foundations Mathematics courses is to help students develop the knowledge and skills that they need to be successful in Foundations or Pre-Calculus Mathematics 11 courses. (Ministry of Education, 2000).

 

Pre-requisites: 
None
No. Exams: 
2
Supervised Exams: 
No
Resources: 

No textbook is required for this course.

Graphing Calculator Ti - 84

No. Modules: 
2
Course Modules: 

Section 1

Lesson 1: Exponents

Lesson 2: Radicals

Lesson 3: Patterns & Graphing

Lesson 4: Polynomials

Section 2

Lesson 5: Factoring

Lesson 6: Solving Equations

Lesson 7: Measurement

Lesson 8: Graphing Calculators

Math 12 Pre-Calculus Online

Course Info
Course Title: 
Math 12 Pre-Calculus Online
Grade Level: 
12
Course Format: 
Online
Teacher(s): 
B Chirico
Course Description
Description: 

This course is designed to provide you with the mathematical understanding and critical-thinking skills you will need for entry into post-secondary programs that require the study of calculus.  Topics include: transformations, trigonometry, exponential and logarithmic functions, permutations, combinations and the binomial theorem.

Pre-requisites: 
Pre-Calculus 11
No. Exams: 
4
Supervised Exams: 
Yes
Resources: 

Pre-Calculus 12 TextTheory & Problems for Pre-Calculus 12Graphing Calculator (Students may provide their own calculator)

No. Modules: 
4
Course Modules: 

Module 1 - Transformations and Functions
Section 1: Functions Transformations (Mandatory Registrations Assignment)
Section 2: Radical Functions (Assignment 2)
Section 3: Polynomial Functions (Assignment 3)
Module 1 TEST

 
Module 2 - Trignometry
Section 1- Trignometry and the Unit Circle (Assignement 4)
Section 2- Trignometric Function and Graphs (Assignement 5)
Section 3- Trignometric Identies (Assignement 6)
Module 2 TEST

 

Module 3 - Exponential and Logarithmic Functions
Section 1- Exponential Functions (Assignement 7)
Section 2- Logarithmic Functions (Assignement 8)
Module 3 TEST

 

Module 4 - Equations and Functions
Section 1- Rational Functions (Assignement 9)
Section 2- Function Operations (Assignement 10)
Section 3 - Permutations, Combinations and the Binomial Theorem (Assignment 11)
Module 4 TEST

 

Workplace Math 10 Online

Course Info
Course Title: 
Workplace Math 10 Online
Grade Level: 
10
Course Format: 
Online
Teacher(s): 
B Chirico
Course Description
Description: 

Workplace Math 10 will teach you the math you will use in a job or in your daily life. This course will be especially useful if you are planning to learn a trade or find a job directly after graduating.  It will not satisfy entrance requirements for universities or colleges.

 

Pre-requisites: 
It is recommended that you have completed Math 9 prior to registering for Workplace Math 10
No. Exams: 
2
Supervised Exams: 
Yes
Resources: 

All the resources that are required for the course are contained in the course.


No. Modules: 
2
Course Modules: 

Module 1:  Probability, Graphing, Trigonometry and Measurement - a focus on the big ideas that proportional reasoning is used to make sense of multiplicative relationships and that representing and analyzing data allows us to notice and wonder about relationships.

 

Module 2: Surface Area, Volume, Averages and Finances - a focus on the big ideas that flexibility with number builds meaning, understanding, and confidence and 3D objects can be examined mathematically by measuring directly and indirectly length, surface area, and volume.
 

 

 

 


Math 11 Apprenticeship & Workplace Online

Course Info
Course Title: 
Math 11 Apprenticeship & Workplace Online
Grade Level: 
11
Course Format: 
Online
Teacher(s): 
D Miller
Course Description
Description: 

Apprenticeship & Workplace Math 11 will teach students math they will use in a job or in their daily life.  This course will be especially useful if students are planning to learn a trade or find a job directly after graduating.  Apprenticeship & Workplace Math 11 is specifically designed for someone who is planning to enter a technical college, or a trade school or to get a job.  It will not satisfy entrance requirements for universities or colleges.  The apprenticeship math pathway has been designed to provide students with the mathematical understanding and critical thinking skills needed for entry into the majority of trades and for direct entry into the workforce.  Several lessons focus on consumer and business math.  Others concentrate on math that will be essential knowledge for specific trades and occupations.

 

No. Exams: 
4
Supervised Exams: 
Yes
Resources: 

Apprenticeship & Workplace Math 11 Workbook

No. Modules: 
4
Course Modules: 

Course Outline

Module 1

Section 1:  Surface area, nets, effects of dimensional changes  (Registration assignment)

Section 2:  Volume and capacity  (Assignment 2)

        Module 1 Test

Module 2

Section 1:  Right triangles, trigonometry

Section 2:  Problems that involve scale  (Assignment 3)

Section 3:  Modeling and drawing 3-D objects and their views

Section 4:  Exploded views, component parts and scale diagrams

                            of simple 3-D objects  (Assignment 4)

        Module 2 Test

Module 3

Section 1:  Problem solving strategies

Section 2:  Personal budgets  (Assignment 5)

Section 3:  Simple and compound interest, rule of 72

Section 4:  Financial institutions, managing finances

Section 5:  Credit cards and loans (Assignment 6)

        Module 3 Test

Module 4

Section 1:  Manipulation and application of formulas

Section 2:  Slopes of graphs  (Assignment 7)

Section 3:  Proportional reasoning and unit analysis

Section 4:  Creating and interpreting graphs  (Assignment 8)

        Module 4 Test

 

Math 11 Foundations Online

Course Info
Course Title: 
Math 11 Foundations Online
Grade Level: 
11
Course Format: 
Online
Teacher(s): 
D Miller
Course Description
Description: 

Foundations of Mathematics (11 and 12) is a pathway designed to provide students with the mathematical understanding and critical-thinking skills identified for post-secondary studies in programs (i.e. business, arts, music and nursing) that do not require the study of theoretical calculus.  

 

Pre-requisites: 
Foundations and Pre-Calculus Math 10.
No. Exams: 
9
Supervised Exams: 
Yes
Resources: 
  • math text book: Foundations of Mathematics 11
  • math resources book: Theories and Problems for Foundations and
    Mathematics 11 (included with math text book)
  • pens, pencils, eraser
  • binder with lined paper (to take notes, show work for long questions
    and problems, contain printed marked quizzes, assignments and practice tests)
  • Ti-84 calculator (can be leased from FVDES with a deposit - all
    money refunded upon return)
  • access to computer and internet (Firefox browser)
No. Modules: 
4
Course Modules: 

Course Topics

Module 1: 

Section 1 – Inductive and Deductive Reasoning
Section 2 – Properties of Angles and Triangles

Module 2: 

Section 3 – Acute Angle Trigonometry
Section 4 – Obtuse Angle Trigonometry

Module 3: 

Section 5 – Statistical Reasoning
Section 6 – Systems of Linear Inequalities

Module 4: 

Section 7 – Quadratic Functions and Equations
Section 8 – Proportional Reasoning

Final Exam

 

Assessment Strategies:

  • *Online Practice Quizzes: approx' one for every
    lesson; assesses student's understanding of the lesson which student then
    reviews;
  • Guided Practice text book assignments 
    (student completes work and self-assesses using answer key at back of text
    book)
  • *Quizzes: approx' one for every lesson; assesses
    student's completion and understanding of the Guided Practice assignment
    for one lesson;
  • *Assignments: assess student for one section;
    student completes assignment in yellow pages at back of book, then enters
    the answers through moodle quiz
  • *Practice Tests: student completes online (longer
    and harder than a section test)
  • *Section Tests: final assessment for a section

* indicates that these are completed online through a program called Moodle Quiz.  Student
uses Firefox as the internet browser.  Questions are online (can be written down on paper) completed and then answer selected or entered online.  It has auto-save so all answers are automatically saved. 
Student can quit the program at any time (except tests), log off and then log in and continue from anywhere and continue an unlimited number of times.  Upon completion student selects "Finish attempt..."  and "Submit all and finish". Student will immediately receives a grade.  Student can select "Show all questions one page" in top right corner.  Student can then review all the questions, corrections, and feedback (step by step how-to).


 

 


 

Math 11 Pre-Calculus Online

Course Info
Course Title: 
Math 11 Pre-Calculus Online
Grade Level: 
11
Course Format: 
Online
Teacher(s): 
D Miller
Course Description
Description: 

This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs that require the study of theoretical calculus.  Topics include algebra, number, relations and functions and trigonometry.  The seven mathematical processes, including communication, connections, mental mathematics and estimation, problem solving, technology and visualization, are interwoven throughout the mathematical topics.

Supervised Exams: 
Yes
Resources: 

Pre-Calculus 11 Textbook $100

Theory & Problems for Pre-Calculus 11 $40

Graphing Calculator (Students may provide their own calculator)

No. Modules: 
9
Course Modules: 

Section 1: Sequences and Series

Lesson A: Arithmetic Sequences

Lesson B: Arithemetic Series

Assignment 1.1 (Registration assignment): Arithmetic Sequences and Series

Lesson C: Geometric Sequences

Lesson D: Geometric Series

Lesson E: Infinite Geometric Series

Assignment 1.2: Geometric Sequences and Series

Practice Test 1

Section 1 Test


Section 2: Trigonometry

Lesson A: Angles in Standard position

Lesson B: Trigometric Ratios of any angle

Lesson C: Solving Right Angle Triangles

Assignment 2.1: Trigonometry Right Angle Triangles

Lesson D: Sine Law for Non-Right Angle Triangles

Lesson E: Cosine Law for Non-Right Angle Triangles

Assignment 2.2: Non-Right Angle Triangles problems

Practice Test 2

Section 2 Test


Section 3: Quadratic Functions

Lesson A: Quadratics in Vertex Form

Lesson B: Quadratics in Standard Form

Assignment 3.1: Graphing and Working with Quadratics

Lesson C: Completing the Square

Assignment 3.2: Quadratics

Practice Test 3

Section 3 Test


Section 4: Solving Quadratic Equations

Lesson A: Graphing to Solve Quadratic Equations

Lesson B: Using Factoring to Solve Quadratic Equations

Assignment 4.1: Graphing and Factoring Assignment

Lesson C: Solving Quadratics using Completing the Square

Lesson D: Solving Quadratics using the Quadratic Formula

Assignment 4.2: Solving Quadratics

Practice Test 4

Section 4 Test


Section 5: Radical Expressions

Lesson A: Simplifying Radical Expressions

Lesson B: Addition and Subtraction of Radical Expressions

Assignment 5.1: Radical Expressions

Lesson C: Multiplication of Radical Expressions Part 1

Lesson D: Multiplication of Radical Expressions Part 2

Lesson E: Solving Radical Expressions

Assignment 5.2: Radical Expressions

Practice Test 5

Section 5 Test


Section 6 Rational Expressions and Equations

Lesson A: Simplifying Rational Expressions

Lesson B: Multiplying and Dividing Rational Expressions

Assignment 6.1: Rational Expression Part 1

Lesson C: Addition and Subtraction of Rational Expressions

Lesson D: Solving Rational Equations

Assignment 6.2: Rational Expressions and Equations

Practice Test 6

Section 6 Test


Section 7: Absolute and Reciprocal Functions

Lesson A: Absolute Value

Lesson B: Absolute value Functions

Lesson C: Absolute Value Equations

Assignment 7.1 Absolute Values

Lesson D Reciprocal Functions

Assignment 7.2 Reciprocal Functions

Practice Test 7

Section 7 Test


Section 8: Systems of Equations and Inequalities

Lesson A: Solving Systems of Equations Graphically

Assignment 8.1: Solving Systems Graphically

Lesson B: Solving Systems of Equations algebraically

Assignment 8.2: Solving Systems  Algebraically

Practice Test 8


Section 9: Inequalities

Lesson A: Linear Inequalities in Two Variables

Lesson B: Quadratics Inequalities in One Variable

Assignment 9.1: Linear inequalities and Quadratic in One Variable Inequalities

Lesson C: Quadratic Inequalities in Two Variables

Assignment 8.2: Quadratic Inequalites (Both One and Two Variable)

Practice Test 9

Section 9 Test

Final Exam 

 

Calculus 12

Course Info
Course Title: 
Calculus 12 Paper
Grade Level: 
12
Course Format: 
Paper
Teacher(s): 
J Templeton
Course Description
Description: 

Students require a graphing calculator for this course.  A programmable scientific calculator is also helpful.  The final exam requires students to bring a graphing calculator that does not have a QWERTY keyboard, or any external devices like memory cards or a printer.

 

This course will teach the essentials of a branch of Mathematics called Calculus.  Students will learn what derivatives are, how to calculate some of them, and some of their applications.  Similarly, students will learn about the flip-side of calculus—what integrals are and how to use them. Throughout, the emphasis will be on the application of these concepts.

Pre-requisites: 
It is recommended that students complete: Principles of Mathematics 12 with at least a C+ standing
No. Exams: 
4
Supervised Exams: 
Yes
Resources: 

No textbook is required for this course.

No. Modules: 
4
Course Modules: 

Module 1: Functions and Derivatives

Section 1: Relations and functions; Graphing techniques; Absolute value; Point-slope form of a line

Section 2: Tangent and sectant lines; Position and velocity; Rates of change; Definition of a derivative

Section 3: Limit of a function; One-sided limits; Continuity; Limit properties; Indeterminate forms

Section 4: Rules for differentiation: polynomials, product, quotient, and power rules; Composition of functions

 

Module 1 Test covers the work of Module 1.

 

Module 2: Properties and Derivatives

Section 1: Implicit differentiation; Velocity and acceleration

Section 2: Tangent line approximation; Newton’s method

Section 3: Related rates; Maximum and minimum values; Optimization problems

Section 4: Relative extreme; Vertical asymptotes; Horizontal asymptotes

Section 5: Graphing overview; Concavity; Miscellaneous graphing techniques; Other graphing problems

 

Module 2 Test covers the work of Modules 1 and 2.

 

Module 3: Trigonometric Derivatives

Section 1: Trigonometry review; Trigonometric limits; Derivatives of sine and cosine

Section 2: Derivatives of other trig functions; Applications; Inverse functions, arcsine and arctangent; Derivatives of arcsine and arctangent

Section 3: Exponential and logarithmic functions review; The fundamental exponential limit, and the natural logarithmic and exponential functions; Derivatives of logarithmic functions

Section 4: Derivatives of exponential functions; Applications; Logarithmic differentiation

Section 5: Another look at limits; L’Hôpital’s Rule; Mean Value theorem

 

Module 3 Test covers the work of Modules 1, 2 and 3.

 

Module 4: Integral Calculus

Section 1: Calculating antiderivatives; Position, velocity, and acceleration—a new look; Differential equations

Section 2: Approximating area; Riemann sums; The fundamental theorem of calculus; The definite integral

Section 3: Properties of the definite integral; Area between curves; Mean value of a function

Section 4: Integration by substitution; Integration by parts; Volumes of revolution-disk/washer method and shell method of volumes with known cross sections

 

Module 4 Test covers the WHOLE COURSE.

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