MCT4C - Grade 12 Mathematics for College Technology

Grade 12 Mathematics for College Technology image
Course Code: MCT4C Course Type: College Preparation Format: Online School Course Prerequisite: MCR3U, Grade 11 Functions or MCF3M, Grade 11 Functions and Applications Tuition Fee (CAD): $549 Demo Lesson

Course Description For MCT4C Grade 12 Mathematics for College Technology Online Course

This course encourages students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry.

Summary Of Units And Timelines For Grade 12 Mathematics for College Technology MCT4C

Below is the suggested sequence of course unit delivery as well as the recommended number of hours to complete the respective unit. For complete details of targeted expectations within each unit and activity, please see each Unit Overview found in the MCT4C course profile.

Unit OrderUnit NameSuggested Time
Unit 1Trigonometric Ratios and Vectors30 Hours
Unit 2Sinusoidal Functions16 Hours
Unit 3Solve Exponential Equations16 Hours
Mid Semester Point
Unit 4Polynomial Functions30 Hours
Unit 5Geometry16 Hours
FINALFinal Exam2 Hours
Total110 Hours

Please be aware that, as per Ministry guidelines, OVS has a mandatory minimum requirement of 14 days enrollment for students to be eligible for a midterm report card and 28 days enrollment to be eligible for a final report card.

The Grade 12 college preparation course Mathematics for College Technology provides excellent preparation for success in technology-related programs at the college level. It extends the understanding of functions developed in the Grade 11 university/college preparation course, Functions and Applications, using a more applied approach, and may help students who decide to pursue certain university programs to prepare for the Grade 12 university preparation course Advanced Functions. Exponential and trigonometric functions are revisited, developing algebraic skills needed to solve problems involving exponential equations and extending the skills associated with graphical representations of trigonometric functions. The Polynomial Functions strand extends to polynomial functions concepts that connect graphs and equations of quadratic functions. Finally, students apply geometric relationships to solve problems involving composite shapes and figures and investigate the properties of circles and their applications.

The mathematical processes are to be integrated into student learning in all areas of this course.
Throughout this course, students will:

  • Problem Solving – develop, select, apply, compare, and adapt a variety of problem-solving strategies as they pose and solve problems and conduct investigations, to help deepen their mathematical understanding
  • Reasoning and Proving – develop and apply reasoning skills (e.g., use of inductive reasoning, deductive
    reasoning, and counter-examples; construction of proofs) to make mathematical
    conjectures, assess conjectures, and justify conclusions, and plan and construct
    organized mathematical arguments;
  • Reflecting – demonstrate that they are reflecting on and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem (e.g., by assessing the effectiveness of strategies and processes used, by proposing alternative approaches, by judging the reasonableness of results, by verifying solutions)
  • Selecting Tools and Computational Strategies – select and use a variety of concrete, visual, and electronic learning tools and appropriate computational strategies to investigate mathematical ideas and to solve problems
  • Connecting – make connections among mathematical concepts and procedures, and relate mathematical ideas to situations or phenomena drawn from other contexts (e.g., other curriculum areas, daily life, current events, art and culture, sports)
  • Representing – create a variety of representations of mathematical ideas (e.g., numeric, geometric, algebraic, graphical, pictorial representations; onscreen dynamic representations), connect and compare them, and select and apply the appropriate representations to solve problems
  • Communicating – communicate mathematical thinking orally, visually, and in writing, using precise mathematical vocabulary and a variety of appropriate representations, and observing mathematical conventions

As summarized in Growing Success 2010, the primary purpose of assessment and evaluation is to improve student learning. Information gathered through assessment helps teachers to determine students’ strengths and weaknesses in their achievement of the curriculum expectations in each course.

This information also serves to guide teachers in adapting curriculum and instructional approaches to students’ needs and in assessing the overall effectiveness of programs and classroom practices. As part of assessment, teachers provide students with descriptive feedback that guides their efforts towards improvement. Evaluation refers to the process of judging the quality of student work on the basis of established criteria, and assigning a value to represent that quality. All curriculum expectations must be accounted for in instruction, but evaluation focuses on students’ achievement of the overall expectations.

A students’ achievement of the overall expectations is evaluated on the basis of his or her achievement of related specific expectations. Teachers will use their professional judgement to determine which specific expectations should be used to evaluate achievement of overall expectations, and which ones will be covered in instruction and assessment but not necessarily evaluated. In order to ensure that assessment and evaluation are valid and reliable, and that they lead to the improvement of student learning, teachers must use assessment and evaluation strategies that:

  • Address both what students learn and how well they learn
  • Are based both on the categories of knowledge and skills and on the achievement level descriptions given in the achievement chart
  • Are varied in nature, administered over a period of time, and designed to provide opportunities for students to demonstrate the full range of their learning
  • Are appropriate for the learning activities used, the purposes of instruction, and the needs and experiences of the students
  • Are fair to all students
  • Accommodate students with special education needs, consistent with the strategies outlined in their Individual Education Plan
  • Accommodate the needs of students who are learning the language of instruction
  • Ensure that each student is given clear directions for improvement
  • Promote students’ ability to assess their own learning and to set specific goals
  • Include the use of samples of students’ work that provide evidence of their achievement
  • Are communicated clearly to students and parents at the beginning of the school year and at other appropriate points throughout the school year.

The achievement chart outlines four categories of knowledge and skills. They include; knowledge and understanding, thinking, communication and application. Teachers will ensure that student work is assessed and/or evaluated in a balanced manner with respect to the four categories, and that achievement of particular expectations is considered within the appropriate categories. A final grade is recorded for this course, and a credit is granted and recorded for this course if the student’s grade is 50% or higher. The final grade for this course will be determined as follows:

  • Seventy percent of the grade will be based on evaluations conducted throughout the course. This portion of the grade should reflect the student’s most consistent level of achievement throughout the course, although special consideration should be given to more recent evidence of achievement.
  • Thirty percent of the grade will be based on a final evaluation and administered towards the end of the course.

All students can succeed. Some students are able, with certain accommodations, to participate in the regular course curriculum and to demonstrate learning independently. Accommodations allow access to the course without any changes to the knowledge and skills the student is expected to demonstrate. The accommodations required to facilitate the student’s learning can be identified by the teacher, but recommendations from a School Board generated Individual Education Plan (IEP) if available can also be consulted. Instruction based on principles of universal design and differentiated instruction focuses on the provision of accommodations to meet the diverse needs of learners.

Examples of accommodations (but not limited to) include:

  • Adjustment and or extension of time required to complete assignments or summative tasks
  • Providing alternative assignments or summative tasks
  • Use of scribes and/or other assistive technologies
  • Simplifying the language of instruction

Teachers will bring additional resources and teaching materials that provide a rich and diverse learning environment. Units in this course profile make specific reference to the intended textbook for this course but can be substituted for any relevant and approved text.

Reference: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised) Ministry of Education of Ontario

Ontario Secondary School Diploma (OSSD) Requirements for all course.


Frequently Asked Questions

MCT4C is a Grade 12 Mathematics for College Technology course at a College preparation level.

4C refers to the Grade level of the courses and the pathway. 4 means it is a grade 12 course and C means it is a college preparation course.

Click here for more information on Course Coding System

At Ontario Virtual School (OVS) you can complete an online highschool credit courses as quickly as 4 weeks, or take as long as 12 months.

Yes, we can send the marks for your online courses directly to OUAC, OCAS, your home, and to your day school.

Student & Parent Recommendations

Ontario Virtual School
4.8
Based on 312 reviews
powered by Google
sasha samaroo image
sasha samaroo
Ontario Virtual School provided clear and understanding lessons and also gave me the perfect opportunity to complete my course at a steady pace. Highly recommended
Matthew Criswick image
Matthew Criswick
I did not have much confidence doing this online course and was unsure of how well I was going to do in the time I had. I'm not very good at using my time productively, however this course taught me different. I was able to manage my time and learn to do things on my own! A very important life skill...initiative and responsibility :) The online teachers are very vocal and respond quickly with any questions you may have!! Thank you OVS!
Kurtis George-Wegner image
Kurtis George-Wegner
My Ontario Virtual School Experience was fantastic! My teacher was very knowledgeable on the subject as one would expect and was always willing to help out. The marking was extremely fast and I usually had my results the same day I submitted them! I would highly recommend the Ontario Virtual School as a great place to upgrade a mark or to finish a high school diploma. Overall great job!!
Detective image
Detective
I was initially skeptical of online learning, especially after not being in high school for so long. However I was pleasantly surprised by how well the course delivered its content as I felt the combination of slides, recordings, quizzes, and embedded videos really kept me engaged. The only shortcoming personally was the assigned readings that followed the lessons as I felt it was relatively easy to get distracted in a home environment. I do however believe this is less the fault of the course and more of a personal issue for myself. The quality of the labs and tests were definitely well thought out and I had no issues with them. I'd also like to thank my instructor for being a very helpful during this course, being there to help and answer my questions and even going as far as to let me have the opportunity to redo a lab I had botched.
Angel Dasilva image
Angel Dasilva
I would very much recommend taking a course with OVS. The lessons are simple to understand, while covering everything needed. Teachers and support staff reply withing 24 hours. OVS allows you to take a test when you feel you're ready, which allows students to create a deeper understanding and perform exceptionally. I took Advanced functions with OVS and had a great experience, would recommend! Because of this great experience, I am currently enrolling into calculus at OVS as well.
Pablo Delgadillo image
Pablo Delgadillo
Took a couple of courses here to finish highschool and was amazed at how thorough each course was. Usually in day-school you don't have the time to cover absolutely everything, leaving you with a decent understanding of each unit. However, with OVS I was left with an impressive understanding of the concepts, far greater than I would usually accomplish at my day school. The teachers are also very helpful, and respond to questions quickly. Overall, a great experience, would recommend to anyone needing to catch up, get ahead, or experience online school.