Precalculus Third Edition Answers

[Olowookere Devost]

Giveyour students a balanced study of the theoretical foundations of Calculus and the practical real-world applications of those foundations with this Precalculus course. Before diving into trigonometry and its applications, students will review key families of functions. Along the way, special features present a biblical perspective of mathematics and its history. To complete their foundation for higher mathematics, they will study matrices, analytic geometry, and sequences and series. Additionally, students will be introduced to descriptive and inferential statistics as well as differential and integral calculus.

A core objective of the course is to teach students to use statistics to represent data and make inferences. The student edition includes expanded sections covering descriptive and inferential statistics.

The student text includes new features including Biblical Perspective of Mathematics, Historical Connections, Technology Corner, and Data Analysis that help them to appreciate and apply the concepts they learn.

The student edition offers additional opportunities for practice by including more exercises in each section and chapter review. Expanded cumulative reviews in each section also include college entrance preparatory questions.

The student edition thoroughly develops key concepts, providing detailed examples to promote student comprehension and integrating practical applications. The text includes multiple representations of concepts and problems, including algebraic, numeric, and graphical representations. The exercise sets provide three levels of difficulty to allow differentiated assignments. Each section includes cumulative reviews to help with long-term mastery and to prepare students for standardized tests and college entrance tests. Students will have the opportunity to use technology to explore mathematical concepts in the Technology Corner feature. They will learn about the TI-84 Plus family of graphic calculators, the Desmos Internet graphing calculator, and about creating and using their own Excel spreadsheets.

The teacher edition provides presentation suggestions, motivational ideas, and descriptions of common student errors. Reduced student pages with overprint answers and step-by-step solutions simplify grading. It also includes math-journaling suggestions and additional keyword searches to locate interactive activities. In addition to the Lesson Plan Overview, it provides alternative minimum and extended tracks with suggested assignments for each track that enable customization of lessons.

The assessment packet includes twelve chapter tests, four quarterly exams, and regular quizzes for each chapter. Each assessment is carefully coordinated with lesson objectives. The corresponding answer key contains answers and step-by-step solutions for quizzes, tests, and quarterly exams.

I used Forerster with my oldest 3. My two daughters might need something a little less difficult, though I could probably modify Foerster. But I also would like to explore options that aren't as graphing calculator heavy.

Lial maybe? My ds used Lial's Precalculus 3rd edition** with his online precalculus course a number of years ago. It is not graphing calculator intensive at all--you don't even need a graphing calculator, and ds's course did not use them. The text has some problems you can do on a graphing calculator, but these are optional. FWIW, my ds has never owned or used a graphing calculator! (And he has a master's in Comp Sci). He did use some graphing software in calculus at home and advanced calc courses at college, but not in precalc.

And here's the Table of Contents: Real Numbers and Coordinates; Functions and their Graphs; Polynomials; Exponential and Logarithmic Functions; The Circular functions; Applications of the Circular Functions; Analytic Trigonometry; Inverse Circular Functions and Trigonometric Equations; Functions on the Natural Numbers; Probability; The Plane; Vectors in the Plane; Space; Vectors in Space; Angles, Lines, and Planes; Linear Equations, Determinants, Matrices; Circles, Cylinders, and Spheres; Conics; Other Coordinate Systems; Parametric Representation of Curves and Surfaces; The Problem of Tangents and the Problem of Areas.

It's not an easy book by any means, but it's very thorough (I'm no expert, but I think it goes well beyond some contemporary precalc books in terms of topic coverage), the problems are interesting, and there is no graphing calculator material in it at all, if that is the kind of thing you are wanting.

You could also look at the Larson texts. Larsonprecalcus.com has lots of helps, solutions, and videos. I have an older version on my shelf, so I bought the solutions manual too, but I was able to match it with one of the editions there, otherwise. I figure if we need more help, I can get a coolmathguy.com subscription.

It is embarrassing to report that I had a Lial's 4th edition and solutions manual on my shelf in the basement. I knew I had purchased an inexpensive text a year ago when I started anticipating this issue, but I thought it was Larson without a solutions guide.

Thoughts on this anyone? One amazon review criticism said "Straightforward and clear, although a bit too calculation focused. IMO, the book doesn't teach good problem-solving skills, and isn't that the reason to learn math? I would definitely not recommend. I would recommend Foerster's Precalculus or Ronald Brown's Precalculus. If you just want to learn to calculate things, use Khan Academy for free, which will do that and much more -- and you won't get misled with misleading problems."

I also realized that I need to think about doing trig first regardless of text because one of the daughters will probably take College Algebra the 2nd semester and won't get trig otherwise. On the other hand she will need the non trig portion of precalc to help her get ready for College Algebra. She wouldn't have to have trig but it doesn't seem right to me not to give trig to her because trig is fun and I think everyone should do some. College Algebra is all she will need for any major she is/would consider and math is very hard for her.

"Too calculation focused?" Well, probably, if you're looking for a theoretical text or an honors text. It's definitely more for the people who need to be shown how and practice what they were shown. It's ... average. Not honors. Not super basic. But it won't make students prove the rules of logarithms or anything.

If you have the right triangle version of Lial's, you can do the first chapter of trig without much algebra, if you want to do that first. I'd also make sure that you do functions (there are so many students who will happily write f(x+y) = f(x) + f(y)) and also that you hit logarithms/exponentials because those topics absolutely slaughter students in college algebra and some preview will help a LOT.

Thanks for the tips on specific topics to review. We are just starting the log/exponent chapter of Foerster Algebra 2 and have worked with functions. If we do trig first I'll keep some review of those topics going and see what else the precalc book adds to the topics.

Really, at least one of my girls needs average. Thinking this through more, I either need to adjust down an honors type text for one girl or beef up an average one for the other. I think an average text with some supplementing would be enough for the stronger one. Maybe I should do different texts, but the thought of two teach times with different texts is not appealing since I have 3 younger ones that need me, too. I personally wouldn't mind doing math all day... I'm avoiding a writing session with my 11th grader by writing this post. Back to work.

3a8082e126