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12th Grade / Year 12 Mathematics Curriculum - Homeschool and After School

This course will cover 40 hours of Mathematics curriculum for 12th Grade / Year 12. Please see the class description for a week-by-week outline of the topics covered throughout this course.
Pamela (she/her)
Average rating:
4.8
Number of reviews:
(90)
Class

What's included

40 live meetings
40 in-class hours
Homework
1 hour per week. Reading of the prescribed texts will need to be completed outside of live class time.
Assessment
Learners will have weekly assignments to complete as take-home assignments to be submitted for feedback and marking. These are offered but not compulsory as I understand that some learners are completing this course in conjunction with other courses and they may have other assessments to complete elsewhere. However, for those learners who wish to complete these assignments and expand their overall portfolio, and for those who are doing this course as their main course, these assessments will be useful in determining where learners are already successful, and where they need to apply themselves more.
Grading
Rubric will accompany each assignment.

Class Experience

US Grade 12
Beginner - Advanced Level
If the currently listed section times do not suit you, please contact me to arrange a more suitable time, pending availability. Also, if you are using scholarship funding or alike and require this to be paid in halves over "Semester 1 and Semester 2" please contact me as I can arrange to invoice you this way.


Day 1: Year 11 / 11th Grade Mathematics Review

Day 2: Functions

Day 3: Families of Functions

Day 4: Quadratic Functions

Day 5: Polynomials

Day 6: Rational Functions

Day 7: Exponential and Logarithmic Functions

Day 8: Radical Functions

Day 9: Roots and Rational Exponents

Day 10: Simultaneous Equations

Day 11: Inequalities and Linear Programming

Day 12: Matrices

Day 13: Trigonometry

Day 14: Trigonometric Functions

Day 15: Trigonometric Identities

Day 16: Conic Sections

Day 17: Complex Numbers

Day 18: Complex Plane

Day 19: Polar Form

Day 20: Two-Dimensional Vectors

Day 21: Three-Dimensional Vectors

Day 22: Sequences and Series

Day 23: Probability

Day 24: Probability Distributions

Day 25: Statistics

Day 26: Introduction to Derivatives

Day 27: Derivative Rules

Day 28: Calculate Derivatives

Day 29: Derivative Strategies

Day 30: Calculate Higher Derivatives

Day 31: Rates of Change

Day 32: L'Hospital's Rule

Day 33: Analyse Functions Using the First Derivative

Day 34: Linear Approximation

Day 35: Antiderivatives and Indefinite Integrals

Day 36: Definite Integrals

Day 37: Vectors in Space

Day 38: Vector-Valued Functions

Day 39: Vector Calculus 

Day 40: Year 12 / 12th Grade Mathematics Review
Learning Goals
Learners will complete the required curriculum for their year level in their jurisdiction in the topic of mathematics.
learning goal

Other Details

Parental Guidance
- Learners do not need to access the internet outside of Outschool for these lessons. - I will screen share Google Slides when applicable.
Supply List
Handouts will be provided in the classroom as applicable to the sessions.
External Resources
In addition to the Outschool classroom, this class uses:
Joined June, 2022
4.8
90reviews
Profile
Teacher expertise and credentials
I am a native English speaker with a 150-hour TESOL qualification from Arizona State University, a 12-hour Certificate in "Foundations of Teaching for Learning: Curriculum" from The Commonwealth Education Trust, and post-graduate qualifications in Applied Linguistics from Monash University. 

I have been homeschooling my own children for 9 years so far (and counting!) which involves reporting to the Home Education Unit in Queensland, Australia. These reports require both curriculum and results reporting. I have successfully individualised the curriculum that I have used for each of my children in order to meet their individual needs, and this skill is transferrable to meeting the needs of all of my students. 

I have been successfully teaching these core subjects on Outschool as separate classes to many students, and now this course will be the result of the culmination of all of this knowledge and these skills. I have also been teaching these separate subjects in composite classes, meaning that there is a range of ages and abilities amongst my students in these classes, and this works in much the same way as homeschooling children of different ages does; the older and more capable students lead the way, which promotes leadership qualities, and as they are called on to explain concepts to the younger students, this repetition reinforces their own learning. The younger students rise to the challenge as they want to try some of the work that might be considered to be above their level, in addition to their own level of work, and this ensures that advanced younger learners are not bored and disengaged. 

I am also a lawyer in Australia, therefore speaking and teaching clearly have been a part of my life for many years, and now I am also applying these skills to teaching others.

We have always homeschooled and participated in distance education. We came to Outschool in 2018 as learners, and now I am excited to also teach on this platform. I understand the needs of parents of learners here as I am one myself. 

I have degrees, post-graduate, and professional qualifications in the following - only those relevant to this class are listed here, for a complete list please visit my teacher profile page:

- Law - Bachelor of Laws, Graduate Diploma of Legal Practice, Admission as a Lawyer;
- TESOL - I have completed 8 out of 8 units towards the 150-hour qualification. When I receive my official professional certificate from Arizona State University I will update this here;
- 12-hour Certificate in "Foundations of Teaching for Learning: Curriculum" from The Commonwealth Education Trust;
- Criminology;
- I.T. Security;
- Applied Linguistics;
- Investigative Services;

- Bachelor of Arts in Security, Terrorism and Counterterrorism from Murdoch University which covered the following topics:
Ethnic Conflict and Multiculturalism
Ethnic Questions in East and South-East Asia
Chinese Political Economy and Business
Islam: Past and Present
Power and Legitimacy in Modern Political Thought
Practical Ethics
Politics in Contemporary China
Terrorism in a Globalised World
War and Peace in World History
Body and Mind
Crime, Business and Politics in Asia
News and Politics
Australian Foreign Policy
Authoritarianism and Democracy
Terrorism: Its Causes and Consequences
International Security Studies
Knowledge and Information Security
Spies, Saboteurs and Secret Agents
Structure Thought and Reality
Introduction to University Learning
Globalisation: The Asia Pacific
Perspectives on Security and Terrorism
Introduction to Global Politics

Other applicable courses that I have completed that pertain to this class include:

- Algebra: Elementary to Advanced - Equations & Inequalities
- Algebra: Elementary to Advanced - Functions & Applications
- Algebra: Elementary to Advanced - Polynomials and Roots
- How Forensic Science should speak to the Court;
- Introduction to Key Constitutional Concepts and Supreme Court Cases (USA);
- An Introduction to American Law (USA);
- English Common Law: Structure and Principles (UK);
- Economic Growth and Distributive Justice;
- Reason and Persuasion: Thinking Through Three Dialogues By Plato;
- Technology and Ethics;
- ADHD: Everyday Strategies for Elementary Students;
- The Clinical Psychology of Children and Young People;
- Everyday Parenting: The ABCs of Child Rearing.

Reviews

Live Group Class
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$799

for 40 classes
1x per week, 40 weeks
60 min

Live video meetings
Ages: 15-18
3-18 learners per class

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