CEMC Grade 12 Advanced Functions and Pre-Calculus
The CEMC Grade 12 Advanced Functions and Pre-Calculus course is designed to challenge and inspire students in their math skills.
78%
of students score 6 and above
90%
students get a top score of 7 in
CEMC
80%
students showed exceptional
performance in their first semester of
CEMC
Course Concept
The CEMC (Centre for Education in Mathematics and Computing) Grade 12 Advanced Functions and Pre-Calculus course is a comprehensive educational program designed to provide high school students with a solid foundation in advanced mathematical concepts and skills. This course focuses on preparing students for post-secondary studies in mathematics, engineering, science, and other related fields. It covers a wide range of topics, from advanced algebra and trigonometry to functions and calculus, equipping students with the knowledge and problem-solving abilities necessary for success in higher education. Here's a detailed overview of the CEMC Grade 12 Advanced Functions and Pre-Calculus course:
- Purpose and Scope: The primary purpose of this course is to deepen students' understanding of mathematical concepts and to prepare them for advanced studies in mathematics-related fields. The course emphasizes the development of critical thinking, problem-solving skills, and mathematical reasoning.
- Target Audience: The Grade 12 Advanced Functions and Pre-Calculus course is intended for high school students in their final year who are pursuing careers or further education in mathematics, engineering, science, computer science, and related disciplines.
- Advanced Topics: The course covers a wide range of advanced topics, including but not limited to functions, trigonometry, polynomial and rational functions, exponential and logarithmic functions, and calculus.
- Problem-Solving Emphasis: The course places a strong emphasis on problem-solving, requiring students to apply their mathematical knowledge to complex and real-world problems.
- Calculus Introduction: The course introduces students to calculus concepts, including limits, derivatives, and applications of derivatives, providing a solid foundation for higher-level calculus courses.
CEMC Grade 12 Advanced Functions and Pre-Calculus
Course Details:
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Dedicated Test Prep Manager to Oversee Your Program
Physical & Digital Copies of the AP Guru Strategy Guides & Classroom Books
Test Reports With Detailed Analytics
Personalized Lesson Notes And Assignments
₹
150000
+ GST
/
$
1850
Syllabus
Best-in-class content by leading faculty and industry leaders in the form of videos, cases and projects, assignments and live sessions
COURSE SYLLABUS PDF18
Months
108
Assignments
18
Live Sessions
1
Hours
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1
Assignment
- Relations and Functions
- Interval Notation and Definitions
- Solving Linear Inequalities
- Graphing Five Base Functions
- Translations
- Reflections
- Stretches
- Combining Transformations
- Inverses
1
Hours
1
Assignment
- Introduction to Polynomial Functions
- Transformations of Simple Polynomial Functions
- Characteristics of Polynomial Functions
- Graphs of Polynomial Functions in Factored Form
- Equations of Polynomial Functions in Factored Form
- Finite Differences of Polynomial Functions
- Even and Odd Polynomial Functions
1
Hours
1
Assignment
- Division of Polynomials
- The Remainder and Factor Theorems
- Factoring Polynomials Using the Factor Theorem
- Methods of Factoring Polynomials
- Solving Polynomial Equations
- Solving Polynomial Inequalities
- Solving Polynomial Equations and Inequalities Using Technology
1
Hours
1
Assignment
- The Reciprocal of a Polynomial Function
- Vertical Asymptotes and Discontinuity
- End Behaviour Asymptotes
- Rational Functions of the Form y=ax+b/cx+d
- Analyzing and Comparing Rational Functions
- Solving Rational Equations
- Solving Rational Inequalities
1
Hours
1
Assignment
- Exponential Functions
- Solving Exponential Equations
- Modelling Exponential Behaviour
- Logarithmic Functions
- Properties and Laws of Logarithms
- Solving Exponential and Logarithmic Equations
1
Hours
1
Assignment
- Radian Measure
- The Unit Circle
- Trigonometric Ratios and Special Triangles
- Graphs of Primary Trigonometric Functions
- Graphs of Reciprocal Trigonometric Functions
- Transformations of the Sine and Cosine Functions
- Working with Sinusoidal Functions
- Applications with the Sine and Cosine Functions
1
Hours
1
Assignment
- Equivalent Trigonometric Expressions
- Proving Trigonometric Identities
- Compound Angle Formulas
- Double Angle Formulas
- Solving Trigonometric Equations
1
Hours
1
Assignment
- Sums and Differences of Functions
- Products and Quotients of Functions
- Composition of Functions
- Solving Equations and Inequalities
1
Hours
1
Assignment
- Determining Average and Approximating Instantaneous Rates of Change for Linear, Polynomial, and Rational Functions
- Determining Average and Approximating Instantaneous Rates of Change with Exponential and Trigonometric Functions
- Moving from Secants to Tangents
- Using Limits to Find Slopes and Equations of Tangents
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Amazing Curriculum
Our curriculum includes strategy guides, classroom books, homework sets, and full-length tests.
Our curriculum is written by our tutors and founders based on their years of teaching experience.
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Mentoring & Support
All of our students are paired with an experienced mentor to guide a student through his or her prep.
Our mentors are someone students can always talk to about anything related to their SAT Prep.
The AP Guru Advantage
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Private Tutoring
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With AP Guru, each student gets...
- their instructor’s undivided attention and a guided exploration of their subject with both theory and applications taught live in class.
- expert guidance at every step that involves interactive sessions, class notes, worksheets, class recordings, and access to past papers.
- specialist subject tutors who have graduated from top universities with a passion for teaching and a dedicated program manager to track your progress.
Experienced Tutors
Our team of teachers boast top 1% scores for the subjects they teach. All of our teachers have demonstrated an exceptional ability to convey material in a fun, personalized, and results-driven way.
With AP Guru, each student gets...
- an experienced and certified online tutor
- This subject specialist will convey essential concepts in a clear and easily understandable manner
- 99th percentile scorer in the subject he or she teaches
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Graded Assessments
Between each class, you'll get personalized assignments so you master what you learned
With AP Guru, you will get...
- Topic-wise worksheets and graded assessments (with marking schemes) to ensure mastery of each topic tested on the school exams
- Doubt sessions after every couple of classes to review incorrect questions
- Additional worksheets on topic areas of concern
School-Aligned Curriculum
Our comprehensive curriculum is school-aligned and follows the structure of the International Specification (Edexcel / CIE / AQA / OCR) in order to ensure improvement on both internal tests and external exams.
Our curriculum includes...
- A conceptual foundation of the subject with the help of the latest textbooks, revision guides and workbooks
- Special focus on school assignments and projects
- Class notes to help you recall concepts tested on the exam
Practice Papers
Practice for the exam with our library of Topic-wise Tests and Past Papers.
With AP Guru, you will get...
- detailed progress reports with feedback and suggestions for improvement
- video recordings and study materials for easy revision
- full-length mock papers, graded as per the grade boundaries and marking schemes.
Mentoring & Support
At AP Guru, we pair you with an experienced mentor to guide you through the exam prep process.
With AP Guru, you will get...
- a Program Manager to help you at every step
- dedicated support to resolve doubts, convenient class schedules and reminders for important sessions
- Parents Teacher Meetings - We set up monthly parent teacher meetings for your to interact with the tutors
Grade Improvement: Exam Ready
The AP Guru course ensures that each student is exam ready regardless of the initial academic level at which they stand.
Exam Ready
- Track your progress including topic, class and homework discussion
- 10 Months of exhaustive exam prep to get you ready (IGCSE/ Edexcel / CIE / AQA / OCR)
- Last 2 months of Exam Improvement Pointers and Strategies for writing high-scoring answers.
One-to-One Classes
AP Guru offers highly customised and personalised SAT Prep delivered live online
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Experienced Tutor
You will be paired with an experienced English and an experienced Math Tutor
Targeted Assessments
Between each class, you'll get personalized assignments so you master what you learned
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Test Prep Manager
All of our students are paired with an experienced mentor to guide the student through his or her prep
Doubt Classes
We will conduct regular one-on-one feedback and doubt classes to go through your errors in mock tests and weekly assessments
Mock Tests
We offer more than 30 full length tests for our programs to our students with detailed explanations.
Test Analytics
For each test you take, you will receive detailed reports of your performance as well as question explanations
Study Plan
The program manager will set test schedules, create reminders, set up doubt sessions, etc.
Strategy Guides
Our AP Guru SAT Strategy Guides cover every concept and strategy tested on the SAT
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Weekly Progress Reports
Our curriculum is written by our tutors and founders based on their years of teaching experience.
Web Portal
The AP Guru online portal contain 100+ hours of SAT content - detailed lesson notes, and additional practice
Parent Teacher Meetings
Parents Teacher Meeting - We set up monthly parent teacher meetings for your to interact with the tutors
Admission Process
Complete Application
Step 1 of the APGuru process is the application phase. We'll ask for basic information such as your name, contact details, current educational level, and your specific goals or challenges. Once you've filled out the application, your application will be promptly reviewed by our admissions team.
Take a Trial Class
Step 2 is the trial class, where applicants receive an invitation to experience our teaching methods and interact with instructors. During this session, students engage in discussions, ask questions, and evaluate whether APGuru aligns with their learning preferences and goals, helping them make an informed decision.
Join AP Guru
Step 3 involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors making progress towards academic excellence.
Complete Application
Step 1 of the APGuru process is the application phase. We'll ask for basic information such as your name, contact details, current educational level, and your specific goals or challenges. Once you've filled out the application, click the submit button. Your application will be promptly reviewed by our admissions team.
Take a Trial Class
Step 2 is the trial class, where applicants receive an invitation to experience our teaching methods and interact with instructors. During this session, students engage in discussions, ask questions, and evaluate whether APGuru aligns with their learning preferences and goals, helping them make an informed decision.
Join AP Guru
Step 3 of the APGuru process involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors, and tracking their progress towards academic excellence.
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