# YEAR 12 EXT1 Mathematics

## Trigonometry

Transformations

Trigonometric Equations

Trigonometric Functions

Differentiation of Trigonometric Functions

Properties of the First Derivative

Properties of the Second Derivative

Derivative Graphs

Optimisation

Further Optimisation

## Calculus

## Integration

Integration

Areas Bounded by x and y Axis

Integral Properties

Reverse Chain Rule

Integration of Exponentials

Integration of Hyperbolas

Integration of Trigonometry

Further Areas

Areas using Exponential, Logarithm and Trigonometry

Fundamental Theorem of Calculus and Approximation

Rates of Change Using Integration

Motion Using Integration

Arithmetic Progression

Geometric Progression

Applications of Progression

Finance Using Progression

Finance Using Interest Factor Tables

## Sequences and Series

## Distribution

Single Variate Data

Bivariate Data

Continuous Probability Distribution

Normal Distribution and Applications

Motion using calculus

Motion using vectors

Projectile Motions

Proofs of Projectile Motions

Further Projectile Motions

## Motion

## Distribution

Continuous probability distribution

Normal distribution and applications

Uniform and binomial distribution

Normal approximation

## Year 12 Extension 1 Mathematics Tutoring Prices

(*excluding GST)

Group Tutoring

Cost Per Hour

$29

x

Duration

3hr

x

Number of Lessons per Term

12 Lessons

Term Price

$1148.4 (Including $104.4 GST)

=

Private Tutoring

Cost Per Hour

$75

x

Duration

1.5hr

x

Number of Lessons per Term

10 Lessons

Term Price

$1237.5 (Including $112.5 GST)

=

## What's Included?

Weekly Classwork

Every lesson has pre-organised and ready classwork able to keep students occupied for the entirety of the lesson.

Weekly Homework

After each lesson, students are given homework based on their classwork that week. This allows our students practise more questions and further strengthen their understanding of the topic

Weekly Quiz

Our students are given weekly quizzes at the end of each lesson based on the topic of the week before, this allows them to test how well they have grasped the knowledge of the last topic.

Extra Work At No Cost At All!

At Proed, we encourage all students to study on their own and give extra work with no extra cost to help our students reach their full academic potential

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Here at Proed we pride ourselves on our tutors who are not only more than capable as tutors but passionate about what they do and care deeply about their students.

Daily Workshop

Workshop is available EVERYDAY at Proed with tutors are always available in the workshop to answer any questions students may have. Moreover, Proed can print extra work or exam papers for students who come to workshops

Study Area

Proed provides students with a quiet spacious study space everyday anytime. This can be useful for students if they want somewhere to study quiet before and after class without being disturbed as well as being able to easily ask for more work.

Access to EZRA

ERZA is Proedâ€™s own self developed exam generator with around 70000 questions and 12 courses. It allows our students to easily customise and generate their own exam papers with 12 exam style questions tailored to their needs. By giving our students access to ERZA we are able to greatly help our students in their studies and maximise their effectiveness. Additionally, each question has a code where students are easily able to put into our website to get the solution to either mark or get help with solving the question.

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Our Justask channel enables students to ask questions anytime and anywhere anonymously as well as individual channels of the classes youâ€™re in for more specific questions.

Homework and Quiz Marking

Our app has the most advanced system for marking homework and exams. Students can easily upload homework and exams onto the app and our tutors will mark the homework and exams remotely and return the marked work on the app.

Your homework would never get lost and is easily accessible in the future.

Videos on APP

We understand that sometimes you get distracted in class or just couldn't grasp a specific concept in class, so there is a pre recorded video of each lesson on the app.

Parents can Track Student Progress

Our app allows both parents and students to track their progress, along with statistics on every weekly quiz to see how youâ€™re doing compared to your classmates.