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Grade 12 – Precalculus Math Lessons (PDF)

Book cover: Grade 12 – Precalculus Math Lessons

Grade 12 – Precalculus
Every Grade 12 – Precalculus lesson from Math Made Easy in one printable PDF: 18 chapters, from “Domains, Composition and Inverse Functions Explained” to “Complex Factoring and Sphere Volume”, with definitions, worked examples and a summary box at the end of each chapter.

  • 62 pages
  • PDF download
  • 18 lesson chapters

$9.99 one-time payment

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Who are these Precalculus math lessons for?

Grade 12 – Precalculus is the year of functions, trigonometry, vectors, matrices and conics. This book is for the student who wants the whole course in one place, and for the parent or tutor who needs a clear reference to explain a chapter at home. It is also a solid way to prepare for AP Calculus AB without gaps.

One chapter per topic, in the order of the course

The 18 chapters follow the order of the year, so you can read them one after another or open only the one you need. Among them: “Domains, Composition and Inverse Functions Explained”, “Proving and Using Trigonometric Identities”, “Solving Systems and Transforming the Plane” and “Complex Factoring and Sphere Volume”. Before a quiz, reread the chapter and redo the worked examples by hand.

How each chapter is built

Each chapter opens with a short introduction, then explains the ideas step by step with definitions, properties, methods and worked examples, and ends with the key points to remember and a tip from Mathbot, our robot mascot. The book is a PDF: read it on a phone, a tablet or a computer, or print it in black and white.

Table of contents

  1. Domains, Composition and Inverse Functions Explained
  2. Polynomial and Rational Functions: Zeros and Asymptotes
  3. Exponents, Logarithms and Growth Models Explained
  4. Radians, Arc Length and the Unit Circle
  5. Graphing Sine, Cosine and Tangent Functions
  6. Inverse Trigonometric Functions and Trig Equations
  7. Proving and Using Trigonometric Identities
  8. Law of Sines, Law of Cosines and Area
  9. Working with Vectors in the Plane
  10. Polar Form and Powers of Complex Numbers
  11. Polar Coordinates and Parametric Curves
  12. Matrix Operations, Determinants and Inverses
  13. Solving Systems and Transforming the Plane
  14. Parabolas, Ellipses and Hyperbolas in Standard Form
  15. Series, Binomial Expansions and Limits
  16. Counting Methods and Probability Rules
  17. Expected Value and Smart Decisions
  18. Complex Factoring and Sphere Volume

Frequently asked questions

Is this the same content as the lessons on the website?

Yes: the 18 Grade 12 – Precalculus lessons of Math Made Easy, gathered in one file with a clickable table of contents. The website stays free; the book adds offline reading and easy printing.

Are the lessons aligned with the Common Core?

Yes. Every chapter lists the Common Core State Standards it covers, under the chapter title.

Can I print only one chapter?

Yes. Each chapter starts on a new page, so you can print a single chapter from the table of contents.

Which book should I use next?

The Grade 12 – Precalculus worksheet book gives 360 problems on the same chapters, and the test book gives one graded test per chapter.

The other Grade 12 – Precalculus math books

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