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I've been teaching high school math for over 20 years. I write about my experiences here and also share activities that I have done with my classes that have been successful (and some that have been not so successful).
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# What to Teach in Precalculus

You might work in a state or country where there are Precalculus standards that you have to cover, you might work in a state where the standards only cover up to Algebra 2, or you might work in a private school where you have more autonomy about what to teach in Precalculus.

If you are one of the latter two cases, then you might be interested in the Precalculus pacing guide below.

Before we get to pacing, you should know that classes at my school meet for 65 minutes and we are on a 7-period rotating schedule. Sometimes a class meets 3 times a week, sometimes 4; it depends on the week.

You might also be interested in what I teach in Algebra 2 or what I teach in my non-AP Calculus class.

## Pacing Guides

I am including a pacing guide for both on-level Precalculus and Honors Precalculus.

The links will take you to resources that I have available in my TeachersPayTeachers store. You can get all of my current and future Precalculus products here:

If you want a FREE Google Sheets version of these pacing guides, scroll down to the bottom of this page.

### on-level Precalculus

Below is my pacing guide for on-level Precalculus. Scroll down to see the pacing guide for Honors Precalculus.

The textbook we use is Larson's Precalculus with Limits: A Graphing Approach, 7th edition.

 session section ON LEVEL PRECALCULUS 1 1.1 to 1.3 Lines, Functions, Graphs day 1 2 1.1 to 1.3 Lines, Functions, Graphs day 2 3 1.4 Shifting, Reflecting, Stretching 4 review review ch1 functions 5 quiz quiz ch1 functions 6 1.5 Combinations of Functions 7 1.6 Inverse Functions Worksheet or this 8 1.7 Linear Models and Scatterplots 9 review review ch1 functions 10 test test ch1 functions 11 2.1 Quadratic Functions 12 2.2 Polynomial Functions of Higher Degree (leading coefficient test, intermediate value theorem) 13 2.3 Real Zeros of Polynomial Functions (Remainder and Factor Theorem, Rational Zero Test) 14 2.4 Complex Numbers 15 review review ch2 quadratic and polynomial functions 16 quiz quiz ch2 quadratic and polynomial functions 17 2.5 or Find All Zeros Circuit 18 2.6 Rational Functions and Asymptotes 19 2.7 Graphs of Rational Functions 20 review review ch2 polynomial and rational functions 21 review review ch2 polynomial and rational functions again 22 test test ch2 polynomial and rational functions 23 3.1 Exponential Functions and Their Graphs 24 3.2 Logarithmic Functions and Their Graphs, extra practice 25 3.3 Properties of Logarithms  or Properties of Logs Level 1 26 review review ch3 exponential and log functions 27 quiz quiz ch3 exponential and log functions 28 3.4 or Log Equations Level 1 29 3.5 Exponential and Logarithmic Models 30 review review ch3 exponential and log functions and equations 31 test test ch3 exponential and log functions and equations 32 8.1 Sequences and Series 33 8.2 Arithmetic Sequences and Partial Sums 34 8.3 Geometric Sequences and Series 35 review review ch8 sequences and series 36 quiz quiz ch8 sequences and series 37 8.5 Counting Principles 38 8.6 Probability 39 8.4 Binomial Theorem 40 review review ch8 sequences, series, probability 41 test test ch8 sequences, series, probability 42 review review for exam 43 review review for exam SEMESTER 2 1 4.3 Right Triangle Trig 2 4.1 Degree and Radian Measure (do not cover linear and angular speed) 3 4.2 Trig Functions: The Unit Circle 4 4.4 Trig Functions of Any Angle 5 review Unit circle quiz and review for ch 4 quiz 6 review review ch4 trigonometric functions 7 quiz quiz ch4 trigonometric functions 8 4.5 Graphing Sine and Cosine 9 practice practice graphing sine and cosine 10 4.6 Graphing Secant and Cosecant 11 4.6 Graphing Tangent and Cotangent 12 practice graphing practice 13 4.7 Inverse Trig Functions 14 review review ch4 trig functions and graphs of trig functions 15 test test ch4 trig functions and graphs of trig functions 16 5.1 Using Fundamental Identities 17 5.2 Verifying Identities 18 5.3 Solving Trig Equations 19 review review ch5 verifying identities and solving trig equations 20 quiz quiz ch5 verifying identities and solving trig equations 21 5.4 Sum and Difference Identities 22 5.5 Double Angle Identities (no half-angle) 23 review review trig identities and equations 24 test test trig identities and equations 25 6.1 Law of Sines 26 6.1 Law of Sines Ambiguous Case 27 6.2 Law of Cosines 28 review review ch6 Laws of Sine and Cosine 29 quiz quiz ch6 Laws of Sine and Cosine 30 6.3 Vectors in the Plane 31 6.4 Vectors and Dot Products 32 review review ch6 Laws of Sine and Cosine and vectors 33 test test ch6 Laws of Sine and Cosine and vectors 34 9.1 Circles 35 9.1 Parabolas 36 9.2 Ellipses 37 9.3 Hyperbolas (do not cover eccentricity) 38 review review ch9 conic sections 39 test test ch9 conic sections 40 Project students work with a partner to make a review activity for a previous unit 41 Project project 42 Project project 43 review review for exam 44 review review for exam *if time, do a 5 day unit on Limits (3 days of instruction, 1 day of review, 1 day for a quiz)

### Honors Precalculus

Below is my pacing guide for Honors Precalculus.

The textbook we use is Larson's Precalculus with Limits: A Graphing Approach, 7th edition.

The links will take you to resources that I have available in my TeachersPayTeachers store. You can buy all of my current and future Precalculus products here: bit.ly/precalculusbundle.

If you want a FREE Google Sheets version of these pacing guides, scroll down to the bottom of this page.

 session section Honors Precalculus version 2 1 supplement absolute value inequalities, quadratic inequalities, rational inequalities 2 1.3 Graphs of Functions (vertical line test, relative extrema, even, odd) 3 1.4 Shifting, Reflecting, Stretching 4 1.4 transformations practice 5 1.6 or this 6 review review ch1 functions 7 quiz quiz ch1 functions 8 2.2 Polynomial Functions of Higher Degree (leading coefficient test, intermediate value theorem) 9 2.2 Polynomial Functions of Higher Degree continued 10 2.3 Real Zeros of Polynomial Functions (Remainder and Factor Theorem, Rational Zero Test) 11 2.5 or Find All Zeros Circuit 1 2 review review ch2 quadratic and polynomial functions 13 quiz quiz ch2 quadratic and polynomial functions 14 2.6 Rational Functions and Asymptotes 15 2.7 Graphs of Rational Functions 16 practice Graphs of Rational Functions practice 17 supplement Variation (direct, inverse, joint) 18 review review ch2 polynomial/rational functions, variation 19 test test ch2 polynomial/rational functions, variation 20 3.1 Exponential Functions and Their Graphs 21 3.2 Logarithmic Functions and Their Graphs 22 practice practice Exponential and Log Functions 23 3.3 Properties of Logarithms 24 review review ch3 exponential and log functions 25 quiz quiz ch3 exponential and log functions 26 3.4 Solving Exponential and Logarithmic Equations 27 3.4 Solving Exponential and Logarithmic Equations again 28 3.5 Exponential and Logarithmic Models 29 review review ch3 exponential and log functions and equations 30 test test ch3 exponential and log functions and equations 31 8.1 Sequences and Series 32 8.2 Arithmetic Sequences and Partial Sums 33 8.3 Geometric Sequences and Series 34 8.4 Binomial Theorem 35 review review ch8 sequences, series, binomial theorem 36 quiz quiz ch8 sequences, series, binomial theorem 37 8.5 Counting Principles 38 8.6 Probability 39 practice practice probability 40 review review ch8 sequences, series, binomial theorem, probability 41 test test ch8 sequences, series, binomial, theorem, probability 42 4.3 Right Triangle Trig 43 4.1 Degree and Radian Measure: unit circle (paper plate activity) 44 4.1 Degree and Radian Measure: linear and angular speed 45 4.2 Trig Functions: The Unit Circle 46 4.4 Trig Functions of Any Angle 47 review review ch4 trigonometric functions 48 quiz quiz ch4 trigonometric functions 49 review review for exam 50 review review for exam Semester 2 1 4.5 Graphing Sine and Cosine 2 practice practice graphing sine and cosine 3 supplement Modeling with sine/cosine graphs: Trig Graphs Project 4 4.6 or Graphs of Tangent and Cotangent Circuit 5 4.7 Inverse Trig Functions 6 4.8 Applications and Models 7 review review ch4 trig functions and graphs of trig functions 8 test test ch4 trig functions and graphs of trig functions 9 5.1 Using Fundamental Identities 10 5.2 Verifying Identities 11 5.3 Solving Trig Equations 12 review review ch5 verifying identities and solving trig equations 13 quiz quiz ch5 verifying identities and solving trig equations 14 5.4 Sum and Difference Identities 15 5.5 Double Angle Identities (no half-angle) 16 review review ch5 trig identities and equations 17 test test ch5 trig identities and equations 18 6.1 Law of Sines 19 6.2 Law of Cosines 20 6.3 Vectors in the Plane 21 6.3 6.3 again: Direction Angles 22 6.4 Vectors and Dot Products 23 review review ch6 Laws of Sine and Cosine and vectors 24 test test ch6 Laws of Sine and Cosine and vectors 25 9.1 Circles & Parabolas 26 9.2 Ellipses 27 9.3 Hyperbolas (includes eccentricity) 28 practice practice Conics 29 review review ch9 conic sections 30 quiz quiz ch9 conic sections 31 9.4 Parametric Equations 32 9.5 Polar Coordinates (and Equations) 33 9.6 Polar Graphs 34 practice practice Polar 35 review review ch9 Conics and Polar 36 test test ch9 Conics and Polar 37 11.1 Introduction to Limits 38 11.2 Techniques for Evaluating Limits 39 11.4 Limits at Infinity 40 11.3 The Tangent Line Problem 41 supplement Lesson 5: Power Rule 42 supplement Lesson 6: Product and Quotient Rules 43 review review ch11 limits and derivatives 44 quiz quiz ch 11 limits and derivatives 45 review review for exam 46 review review for exam

Other topics that are often taught in Precalculus: 