Quadratic Expressions Masterclass (Self-Paced | Year 10 Maths)

This self-paced course is designed for Year 10 students who want to master quadratic expressions. Through engaging video lessons, practice problems, and interactive challenges, students will build confidence in expanding and factorising algebraic expressions. The course is structured around key concepts in the Australian Curriculum, focusing on techniques like expansion, factorisation, completing the square, and real-world applications. Students will learn how to break down complex algebraic expressions step by step and develop problem-solving skills that they can apply to various math topics.

**What will be taught?**
In this course, students will learn how to:

* Expand algebraic expressions using the distributive law and other techniques.
* Factor trinomials and expressions with two or four terms.
* Apply the method of completing the square to rewrite quadratic expressions.
* Use different factorisation strategies for a range of problems.
* Apply their knowledge to solve real-world algebraic problems.

**What topics will you cover?**
The course covers the following key topics:

1. **Expanding Algebraic Expressions** – Understand how to multiply and expand expressions.
2. **Factorising Trinomials** – Learn the product-sum method for factorising three-part expressions.
3. **Factorising Four-Term Expressions** – Master the grouping method and recognise special patterns like the difference of squares.
4. **Completing the Square** – Discover how this technique helps with graphing and solving equations.
5. **Mixed Factorisation Strategies** – Apply a variety of methods to solve complex problems.
6. **Review and Application** – Consolidate knowledge through practice problems and real-life examples.

**How is your class structured?**
The course is structured into six weekly modules. Each week, students will:

* Watch pre-recorded video lessons (10–15 minutes per lesson).
* Complete guided practice problems and worksheets.
* Take part in interactive quizzes and review activities.

**How will you teach?**
This course is entirely self-paced and delivered through a series of pre-recorded videos and supporting materials. Each video focuses on breaking down complex concepts in an easy-to-understand, step-by-step approach. The lessons include visual aids, example problems, and problem-solving strategies to help students grasp the material. Students will also have access to worksheets and quizzes to test their understanding.

**What's your teaching style?**
My teaching style is clear, approachable, and student-centered. I focus on breaking down concepts into manageable steps and encouraging independent problem-solving. The course is designed to be engaging and interactive, so students feel comfortable practicing and learning at their own pace. I use a variety of methods, such as visual aids, step-by-step explanations, and real-life applications, to cater to different learning styles. 

**How much will learners get to interact with you?**
While this is a self-paced course, students will have multiple ways to engage with me and the content:

* **Quizzes & Feedback:** I'll provide detailed feedback on students' quizzes and assignments.
* **Challenge Tasks:** Each week, students will have a challenge task that encourages them to apply what they’ve learned, with the option to get feedback from me.

Through these interactions, I’ll be able to guide students, answer their questions, and provide personalized support to help them succeed.