Highlights of this book
- 435 problems, about 24 per chapter
- Problems first (Part 1), answer key second (Part 2)
- Final answers in bold and every step written out
Part 1 gathers the problems, chapter by chapter, in the order of the lessons. Inside each chapter, the first problems apply one idea at a time; the last ones mix several skills in word problems taken from everyday situations.
Part 2 is the answer key: every problem is solved step by step, with the final answer in bold. Keeping the solutions apart means the 18 chapters can be printed and worked on without the answers in sight.
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, a few problem titles and the number of problems.
| Chapter | A few of the problems | Count |
|---|---|---|
| 1Functions: Domain, Range, Composition and Inverses | Evaluate function notation · Domain with square roots · Domain with denominators · Domain with several restrictions · Domain and range from a graph | 24 pb. |
| 2Polynomial and Rational Functions in Depth | List possible rational zeros · Rational zeros of a cubic · Factor with the Rational Root Theorem · Counting zeros · Complex zeros of a cubic | 24 pb. |
| 3Exponential and Logarithmic Functions and Models | Exponential to logarithmic form · Logarithmic to exponential form · Evaluate logarithms · Points on an inverse graph · Finding inverse functions | 24 pb. |
| 4Angles, Radians and the Unit Circle | Degrees to radians · Radians to degrees · Coterminal angles · Reference angles · Special angle values | 23 pb. |
| 5Graphs of Trigonometric Functions | Amplitude of a wave · Period from B · Midline and range · Five key points · Read a cosine graph | 22 pb. |
| 6Inverse Trigonometric Functions and Trigonometric Equations | Evaluate arcsin · Evaluate arccos · Evaluate arctan · Graph of arctan · Restricted cosine | 24 pb. |
| 7Trigonometric Identities | Reciprocal and quotient forms · Reciprocal values · Pythagorean forms · Cosine from sine, Quadrant I · Cosine from sine, Quadrant II | 28 pb. |
| 8Laws of Sines and Cosines and Triangle Area | Area from two sides and an angle · Area of a triangular sign · Find the angle from the area · Law of Sines with two angles · Find the third angle and both sides | 25 pb. |
| 9Vectors in the Plane | Component form from two points · Magnitude of a vector · Direction angles · Components from magnitude and angle · Add and subtract vectors | 22 pb. |
| 10Complex Numbers in Polar Form | Plot and find the modulus · Conjugates and products · Dividing complex numbers · Finding the argument · Rectangular to polar form | 22 pb. |
| 11Polar Coordinates and Parametric Equations | Read points on a polar grid · Convert polar to rectangular · Convert rectangular to polar · Rewrite equivalent polar pairs · Distance between polar points | 22 pb. |
| 12Matrices and Matrix Operations | Dimensions and entries · Organize data in a matrix · Add matrices · Subtract matrices · Scalar multiples | 23 pb. |
| 13Solving Systems with Matrices | Write a system as AX = B · Read a matrix equation · Determinants of 2 by 2 matrices · Does the inverse exist? · Inverse with determinant 1 | 24 pb. |
| 14Conic Sections: Parabolas, Ellipses and Hyperbolas | Write the equation of a circle · Center and radius from an equation · Circle through a point · Circle from a diameter · Complete the square: circles | 26 pb. |
| 15Series, Binomial Theorem and an Introduction to Limits | Evaluate a sum · Sums of powers · Write in sigma notation · Explicit and recursive rules · Find the nth term | 25 pb. |
| 16Counting, Permutations, Combinations and Probability | Fundamental counting principle · Factorials · PIN codes · Permutations · Combinations | 25 pb. |
| 17Expected Value and Decisions | Valid distributions · Find the missing probability · Distribution for three coin flips · Spinner prize distribution · Empirical distribution from a survey | 24 pb. |
| 18Complex Factorization and Volume of a Sphere | Powers of i · Expand a conjugate product · Factor sums of squares · Leading coefficients · Irrational constant | 28 pb. |
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
Choose
Pick the chapter of the next quiz or test at school.
Solve
Work the problems on paper without looking at the answer key.
Check
Compare each answer with the worked solution in Part 2.
Redo
A few days later, redo the problems that went wrong: that is where progress happens.
Goes well with
Questions from parents
How many problems are in the Precalculus worksheets?
435 problems in 18 chapters, on 225 pages.
Does every problem have an answer?
Yes. Part 2 of the book solves every problem step by step and prints the final answer in bold.
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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