Highlights of this book
- 18 chapters, from “Functions: Domain, Range, Composition and Inverses” to “Complex Factorization and Volume of a Sphere”
- A Key facts box at the start of every chapter
- Diagrams with captions and numbered steps for each method
The book follows the order in which Precalculus topics are usually taught: it opens with functions: domain, range, composition and inverses and closes with complex factorization and volume of a sphere. Each chapter fits on a few pages and lists the Common Core codes it covers, which makes it easy to match with the unit your child is studying in class.
Explanations are written as answers to real questions (“How do you…?”, “What is…?”), with a labeled figure whenever a picture helps more than a sentence. The table of contents is clickable, and bookmarks let you jump to any chapter on screen.
Who is it for?
For a junior or senior preparing for a calculus course, and for the parents, tutors and homeschooling families who work with them.
The contents, chapter by chapter
For each chapter, its Common Core codes and its length.
| Chapter | Common Core standards | Pages |
|---|---|---|
| 1Functions: Domain, Range, Composition and Inverses | F-IF.A.1, F-BF.A.1c, F-BF.B.4b, F-BF.B.4c, F-BF.B.4d | 4 p. |
| 2Polynomial and Rational Functions in Depth | A-APR.B.2, A-APR.B.3, F-IF.C.7c, F-IF.C.7d, N-CN.C.9 | 5 p. |
| 3Exponential and Logarithmic Functions and Models | F-LE.A.4, F-BF.B.5, F-IF.C.8b | 4 p. |
| 4Angles, Radians and the Unit Circle | F-TF.A.1, F-TF.A.2, F-TF.A.3, F-TF.A.4 | 5 p. |
| 5Graphs of Trigonometric Functions | F-TF.B.5, F-IF.C.7e, F-BF.B.3 | 4 p. |
| 6Inverse Trigonometric Functions and Trigonometric Equations | F-TF.B.6, F-TF.B.7 | 4 p. |
| 7Trigonometric Identities | F-TF.C.8, F-TF.C.9 | 4 p. |
| 8Laws of Sines and Cosines and Triangle Area | G-SRT.D.9, G-SRT.D.10, G-SRT.D.11 | 4 p. |
| 9Vectors in the Plane | N-VM.A.1, N-VM.A.2, N-VM.A.3, N-VM.B.4, N-VM.B.5 | 4 p. |
| 10Complex Numbers in Polar Form | N-CN.B.4, N-CN.B.5, N-CN.B.6, N-CN.A.3 | 5 p. |
| 11Polar Coordinates and Parametric Equations | N-CN.B.4, F-IF.C.7 | 5 p. |
| 12Matrices and Matrix Operations | N-VM.C.6, N-VM.C.7, N-VM.C.8, N-VM.C.9, N-VM.C.10 | 4 p. |
| 13Solving Systems with Matrices | A-REI.C.8, A-REI.C.9, N-VM.C.11, N-VM.C.12 | 5 p. |
| 14Conic Sections: Parabolas, Ellipses and Hyperbolas | G-GPE.A.1, G-GPE.A.2, G-GPE.A.3 | 5 p. |
| 15Series, Binomial Theorem and an Introduction to Limits | A-APR.C.5, A-SSE.B.4, F-BF.A.2 | 5 p. |
| 16Counting, Permutations, Combinations and Probability | S-CP.B.8, S-CP.B.9, S-MD.A.1, S-MD.A.2 | 4 p. |
| 17Expected Value and Decisions | S-MD.A.3, S-MD.A.4, S-MD.B.5 | 4 p. |
| 18Complex Factorization and Volume of a Sphere | N-CN.C.8, G-GMD.A.2 | 4 p. |
Look inside: two sample pages
Pages from the book exactly as they print. Click a page to open it full size.
How to use it in four steps
Preview
Read the Key facts box before the lesson is taught in class.
Read
Go through each section slowly and redraw the diagrams on scratch paper.
Explain
Ask your child to explain one key fact in their own words.
Practice
Move on to the worksheets of the same chapter while the lesson is fresh.
Questions from parents
How many chapters are in the Precalculus lessons book?
18 chapters on 81 pages, each with its Common Core codes.
Are there exercises in this book?
The lessons explain and show examples. For practice, the Precalculus Math Worksheets with Answer Keys book follows the same chapters, with an answer key.
Does it replace the school textbook?
It complements it: use it at home to review, practice or get ahead, whatever textbook the teacher uses.
Do I need the other two books of the grade?
No, each book works on its own. Together, the lessons, worksheets and tests of Precalculus cover the three steps: understand, practice, check.
How is the book delivered?
Nothing is shipped: as soon as PayPal confirms the payment, your download page opens, and the link is also sent by email.
Still have a question? Read the general FAQ or write to us from the Mathovore contact page.
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