Mathematics for College Technology – MCT4C (Tutoring)

Course Prerequisite

Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation (Recommended)

Description

This course enables 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. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs

Course Info

Course Outline & Units

Unit Order

Unit Name

Suggested Time

Unit 1

Polynomial Functions

By the end of this unit students will be able to:

1- learn to identify and describe some key features of polynomial functions and to make connections between the numeric, graphical, and algebraic representations of polynomial functions.

2- solve polynomial functions in a number of ways and apply their skills to solve real-world problems.

21 hours
Unit 2

Exponential Functions

By the end of this unit students will be able to:

1- Learn Methods of solving problems involving the exponential function algebraically & graphically.

2- Learn about logarithmic properties then apply they knowledge of exponential & Logarithmic function to solve problems

21 hours
Unit 3

Trigonometry Functions & Graphs

By the end of this unit students will be able to:

1- solve trigonometric problems quickly and with greater accuracy by making connections between trigonometric ratios and the unit circle.

2- Practice & review the sine and cosine laws, providing the necessary foundation to solve problems arising from real world applications.

3- Understand of trigonometry by expanding on the functions behind the trigonometric ratios.

4- Examine & investigate the graph of the trigonometric and how to be transformed to model a wide range of applications in our real world.

29 hours
Unit 4

Application of Geometry

By the end of this unit students will be able to:

1- learn & understand important areas of geometry: Vectors, Measurement, and Circles.

2- introduced to the concept of vectors as measurements with both magnitude and direction.

3- add and subtract vectors using a variety of methods.

4- practice various real-world applications of vectors. The measurement module focuses on the metric and imperial system of measure, and the conversions between various measures and systems.

5- practice problems involving perimeter, area, and volume of shapes using both systems of measure.

6- introduced to the properties of circles and investigate methods for determining the area and perimeter of incomplete circles.

29 hours
Final Evaluation 30%

Culminating Assignment 

Final Exam 

8 hours

2 hours

Total 110 Hours
Learning Strategies

A wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests and ability levels. These strategies include, but are not limited to:  

Strategies marked with “x” are used in the course.

Direct Instruction (teacher-led) x Class Activity (teacher facilitation)

x

Direct Instruction (discussion possible)

x Experiential learning  
Class Discussion (teacher facilitated) x Worksheets/Surveys

 

Small Group Discussion

x Individual or Group Research  
Partner Discussion/Conferencing x Teacher modeling

x

1:1 Conferencing Teacher & Student

  Text-based modeling  
Teacher reading to class   Use of Computers / Internet Silent individual reading

x

Silent individual reading

  Use of video tape or audio materials  

Group based reading

 

Role Playing

 
Independent Work (teacher facilitation)  x Presentations

x

Group Work (teacher facilitation)

  Guest Speaker  
Brainstorming   Field Trip

 

Course FAQ
The course duration is 110 hours, delivered in an online school format.  
Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation
The course fee varies based on the selected availability option: Online Small Class and Online Private 1-on-1 Tutoring. For detailed information and pricing, please check our website.
Assessment & Resources

Purpose       

The primary purpose of assessment is to improve student learning. Assessment relates directly to the expectations for the course.   

A variety of assessments for and as learning are conducted on a regular basis to allow ample opportunities for students to improve and ultimately demonstrate their full range of learning and for the teacher to gather information to provide feedback. Assessment tasks relate to the success criteria set out in lesson plans. Success criteria allow students to see what quality looks like.   

Evaluation is the process of judging the quality of student work in relation to the achievement chart categories and criteria and assigning a percentage grade to represent that quality. Evaluation is based on gathering evidence of student achievement through:   

  • Products  
  • Observations  
  • Conversations  

   

Assessment for Learning – we provide feedback and coaching. Assessment FOR Learning is the process of seeking and interpreting evidence for the use of learners and their teachers to decide where the learners are in their learning, where they need to go, and how best to go there.   

   

Assessment as Learning – we help students monitor progress, set goals, reflect on their learning   

Assessment AS Learning is the process of the explicit fostering of students’ capacity over time to be their own best assessors, but teachers need to start by presenting and modeling external, structured opportunities for students to assess themselves.   

   

Assessment of Learning – we use assessments to provide evaluative statements about student achievement. Assessment OF Learning is the assessment that becomes public and results in statements of symbols   

(marks/grades/levels of achievement) about how well students are learning. It often contributes to pivotal decisions that will affect students’ future.   

ASSESSMENT TOOLS

Assessment tools marked with “x” are used in the course

Marking schemes

 

Rubrics

 

Anecdotal comments

 

Checklists

 

Rating Scales

 

 

 

 

Assessment for Learning

Assessment as Learning Assessment of Learning
Quizzes x Reflective journal x Tests

x

Tests

x Exit and Entrance Cards   Presentations  
Presentations x KWL Chart   Journals

 

Journals

  Self/Peer assessment x Essays  
Essays   Logs   Models

 

Models

x     Projects x
Projects       Demonstrations

 

Demonstrations

x     Conferencing  
Conferencing       Questioning

 

Questioning

x     Independent Study Assignment x
Assignment       Art Exhibits

 

Art Exhibits

      Researching  
Researching       Final Exam

 

Reading Aloud

      Problem Solving (Process focused)  
Problem Solving x     Independent Study Test

x

Debates

         

Work sheets

         

Role playing

         

Direct Instructions

         

 Resources 

Course Final Grade & Report Card

Grading     

  • The final grade is based on performance in 3 areas: products, observations, conversations.  
  • 70% of the grade is based on evaluations conducted throughout the course.  
  • 30% is based on a final evaluation.  

   

Weighting of categories       

Knowledge/Understanding   Thinking/Inquiry  Communication   Application 
25%  25%  25%  25 % 

   

 

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Course Grade

Grade 12

Course Code

MCT4C

Course Category

Mathematics

Course Type

College Preparation

Course Delivery

Online

Course Duration

8hrs

Course Credit

0
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