Pre-Calculus For Dummies Cheat Sheet (2024)

When you study pre-calculus, you are crossing the bridge from algebra II to Calculus. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. You discover new ways to record solutions with interval notation, and you plug trig identities into your equations.

The pre-calculus unit circle

In pre-calculus, the unit circle is sort of like unit streets, it’s the very small circle on a graph that encompasses the 0,0 coordinates. It has a radius of 1, hence the unit. The figure here shows all the measurements of the unit circle:

Pre-Calculus For Dummies Cheat Sheet (1)

Right triangles and trig functions for pre-calculus

If you’re studying pre-calculus, you’re going to encounter triangles, and certainly the Pythagorean theorem. The theorem and how it applies to special right triangles are set out here:

Pre-Calculus For Dummies Cheat Sheet (2)

How to format interval notation in pre-calculus

In pre-calculus you deal with inequalities and you use interval notation to express the solution set to an inequality. The following formulas show how to format solution sets in interval notation.

Pre-Calculus For Dummies Cheat Sheet (3)

Absolute value formulas for pre-calculus

Even though you’re involved with pre-calculus, you remember your old love, algebra, and that fact that absolute values then usually had two possible solutions. Now that you’re with pre-calculus, you realize that absolute values are a little trickier when you through inequalities into the mix. Never fear, the following formulas show you how to deal with absolute values in pre-calculus.

Pre-Calculus For Dummies Cheat Sheet (4)

Trig identities for pre-calculus

Of course you use trigonometry, commonly called trig, in pre-calculus. And you use trig identities as constants throughout an equation to help you solve problems. The always-true, never-changing trig identities are grouped by subject in the following lists:

Pre-Calculus For Dummies Cheat Sheet (5)

About This Article

This article is from the book:

About the book author:

Mary Jane Sterling aught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois for more than 30 years. She is the author of several For Dummies books, including Algebra Workbook For Dummies, Algebra II For Dummies, and Algebra II Workbook For Dummies.

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Pre-Calculus For Dummies Cheat Sheet (2024)

FAQs

Pre-Calculus For Dummies Cheat Sheet? ›

Why is precalculus hard? Precalculus, which is a combination of trigonometry and math analysis, bridges the gap to calculus, but it can feel like a potpourri of concepts at times. Students are suddenly required to memorize a lot of material as well as recall various concepts from their previous math courses.

How do you do precalculus easy? ›

Step Guide
  1. Step 1: Build Pre-Class Study Habits.
  2. Step 2: Master Memorization Techniques.
  3. Step 3: Add Problems to Your Homework.
  4. Step 4: Explore Alternative Methods.
  5. Step 5: Measure Your Progress Using Practice Tests.
  6. Pre-Calculus: Prepare to Succeed, and You Shall.
Jan 19, 2021

Why is pre calc so hard? ›

Why is precalculus hard? Precalculus, which is a combination of trigonometry and math analysis, bridges the gap to calculus, but it can feel like a potpourri of concepts at times. Students are suddenly required to memorize a lot of material as well as recall various concepts from their previous math courses.

What do I need to know for Precalc? ›

Precalculus Review Materials
  1. Algebra and exponents.
  2. Exponential functions and logarithms.
  3. Factoring and solving equations.
  4. Functions and straight lines.
  5. Geometry and word problems.
  6. Inequalities and absolute value.
  7. Trigonometry (part I)
  8. Trigonometry (part II) and conic sections.

Is it hard to pass pre-calculus? ›

If you are a hard worker and are willing to improve, then it its not that hard. However, if you don't do your homework and neglect studying for tests that you don't understand the material, then it will be hard. For most students, pre-Calculus is not hard if they have the necessary background for the course.

What grade level is pre-calculus? ›

It Begins in Middle School

Students can then move on Pre-Calculus in 11th grade and Calculus in 12th grade, or they can take other options such as Statistics or Trigonometry.

Is pre calc harder than college algebra? ›

Precalculus is a more advanced course than College Algebra. The prerequisite for Precalculus is a grade of C or better in College Algebra or the equivalent. By the equivalent, we mean a grade of B or better in one of the high school courses listed in (1) above.

What is the hardest unit in precalc? ›

While it depends on the person, units like polar equations, conic sections, and trigonometry are among the harder parts of a traditional pre-calculus course.

Can you pass Calc without pre calc? ›

So if you haven't taken precalculus or are a bit rusty, don't worry; while precalculus is generally advised as a prerequisite, it's possible to do well without it because calculus is worlds beyond algebra and trigonometry.

What is the hardest math class? ›

Advanced Calculus is the hardest math subject, according to college professors. One of the main reasons students struggle to understand the concepts in Advanced Calculus is because they do not have a good mathematical foundation. Calculus builds on the algebraic concepts learned in previous classes.

What is the formula for precalculus? ›

The important formulas for precalculus are listed below: cos (A + B) = cos A cos B - sin A sin B. (a - b)2 = a2 - 2ab + b.

Is precalc harder than college math? ›

College algebra courses are less difficult than pre-calculus, and cover no more material than is covered in high school algebra courses.

What do you study for precalculus? ›

What Do You Learn in Pre-Calculus?
  • Functions and Modeling.
  • Trigonometry.
  • Analytic Trigonometry.
  • Complex Numbers and Polar Coordinates.
  • Vectors.
  • Matrices.
  • Systems and Matrices.
  • Analytic Geometry.

How many hours should I study pre-calculus? ›

Put in Study Time

Your time in class will help a lot, but lectures alone won't allow you to pass your pre-calculus course. Make sure you study on your own. You should anticipate completing 8-12 hours of studying per week, depending on how well you understand the concepts you're working on.

What happens if you don't take pre calc in high school? ›

Ultimately, the choice of whether to take Pre-Calculus or not is up to the individual. Students will eventually end up in the same Calculus BC class, whether they took Pre-Calculus as a summer course or year-long course.

Does pre-calculus look good for college? ›

At most U.S. colleges, Precalculus is considered a college-level course. But when taught in high school, the course rarely confers college credit.

Can I pass calculus without precalculus? ›

So if you haven't taken precalculus or are a bit rusty, don't worry; while precalculus is generally advised as a prerequisite, it's possible to do well without it because calculus is worlds beyond algebra and trigonometry.

What is precalculus simple? ›

When you study pre-calculus, you are crossing the bridge from algebra II to Calculus. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values.

Is pre calc easier than algebra? ›

Precalculus is fundamentally harder than Algebra II since it incorporates all the concepts previously learned in Algebra, Geometry, and Algebra II as well as including new, more challenging material. What does y mean in pre-algebra?

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