Year 10 Mathematics Advanced · Chapter 12
The Family of Curves
Year 10 Mathematics, Advanced - NSW Stage 5. The Family of Curves, 11 lessons, written to the NSW Mathematics syllabus.
In this chapter
What the guide holds
Every lesson runs the same way: worked examples paired with a your-turn column, a four-stage practice ladder from fluency to exam-style questions, and full worked solutions for every question at the back of the chapter.
Includes three practice examinations on this chapter, sharing no question between them, each with its own worked solutions. Sit one and keep the other two for revision.
11 lessons
Lesson by lesson
- 12.1 What a function is, and how to write one
- 12.2 The circle as an equation
- 12.3 The curve with two branches
- 12.4 Introducing polynomials, expanding and simplifying
- 12.5 Polynomial long division, step by step
- 12.6 What the remainder tells you
- 12.7 Finding where a polynomial is zero
- 12.8 Graphing cubic functions
- 12.9 The shape of a polynomial
- 12.10 Moving and stretching any graph
- Putting it together
Year 10 Mathematics Advanced
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Common questions
Questions about this chapter
- What does The Family of Curves cover?
- Year 10 Mathematics, Advanced - NSW Stage 5. The Family of Curves, 11 lessons, written to the NSW Mathematics syllabus.
- How many lessons are in The Family of Curves?
- 11 lessons: 12.1 What a function is, and how to write one, 12.2 The circle as an equation, 12.3 The curve with two branches, 12.4 Introducing polynomials, expanding and simplifying, 12.5 Polynomial long division, step by step, 12.6 What the remainder tells you, 12.7 Finding where a polynomial is zero, 12.8 Graphing cubic functions, 12.9 The shape of a polynomial, 12.10 Moving and stretching any graph, Putting it together.
- Is the Family of Curves study guide free?
- This page is free to read, with nothing to buy and no account to make. It sets out what the unit covers. The full guide isn't published online; it's what our tutors teach from in lessons.
- Can BTA tutor Year 10 Mathematics Advanced?
- Yes. We tutor Year 10 Mathematics Advanced one-on-one at any of our eight academies across five locations, online through Microsoft Teams, or in your home. All three cost the same hourly rate and the first consultation is free.
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