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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: bit.ly/precalculusbundle.



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.


sessionsectionON LEVEL PRECALCULUS
11.1 to 1.3Lines, Functions, Graphs day 1
21.1 to 1.3Lines, Functions, Graphs day 2
31.4Shifting, Reflecting, Stretching
4reviewreview ch1 functions
5quizquiz ch1 functions
61.5Combinations of Functions
71.6Inverse Functions
81.7Linear Models and Scatterplots
9reviewreview ch1 functions
10testtest ch1 functions
112.1Quadratic Functions
122.2Polynomial Functions of Higher Degree (leading coefficient test, intermediate value theorem)
132.3Real Zeros of Polynomial Functions (Remainder and Factor Theorem, Rational Zero Test)
142.4Complex Numbers
15reviewreview ch2 quadratic and polynomial functions
16quizquiz ch2 quadratic and polynomial functions
172.5Fundamental Theorem of Algebra
182.6Rational Functions and Asymptotes
192.7Graphs of Rational Functions
20reviewreview ch2 polynomial and rational functions
21reviewreview ch2 polynomial and rational functions again
22testtest ch2 polynomial and rational functions
233.1Exponential Functions and Their Graphs
243.2Logarithmic Functions and Their Graphs
253.3Properties of Logarithms
26reviewreview ch3 exponential and log functions
27quizquiz ch3 exponential and log functions
283.4Solving Exponential and Logarithmic Equations
293.5Exponential and Logarithmic Models
30reviewreview ch3 exponential and log functions and equations
31testtest ch3 exponential and log functions and equations
328.1Sequences and Series
338.2Arithmetic Sequences and Partial Sums
348.3Geometric Sequences and Series
35reviewreview ch8 sequences and series
36quizquiz ch8 sequences and series
378.5Counting Principles
388.6Probability
398.4Binomial Theorem
40reviewreview ch8 sequences, series, probability
41testtest ch8 sequences, series, probability
42reviewreview for exam
43reviewreview for exam
SEMESTER 2
14.3Right Triangle Trig
24.1Degree and Radian Measure (do not cover linear and angular speed)
34.2Trig Functions: The Unit Circle
44.4Trig Functions of Any Angle
5reviewUnit circle quiz and review for ch 4 quiz
6reviewreview ch4 trigonometric functions
7quizquiz ch4 trigonometric functions
84.5Graphing Sine and Cosine
9practicepractice graphing sine and cosine
104.6Graphing Secant and Cosecant
114.6Graphing Tangent and Cotangent
12practicegraphing practice
134.7Inverse Trig Functions
14reviewreview ch4 trig functions and graphs of trig functions
15testtest ch4 trig functions and graphs of trig functions
165.1Using Fundamental Identities
175.2Verifying Identities
185.3Solving Trig Equations
19reviewreview ch5 verifying identities and solving trig equations
20quizquiz ch5 verifying identities and solving trig equations
215.4Sum and Difference Identities
225.5Double Angle Identities (no half-angle)
23reviewreview trig identities and equations
24testtest trig identities and equations
256.1Law of Sines
266.1Law of Sines Ambiguous Case
276.2Law of Cosines
28reviewreview ch6 Laws of Sine and Cosine
29quizquiz ch6 Laws of Sine and Cosine
306.3Vectors in the Plane
316.4Vectors and Dot Products
32reviewreview ch6 Laws of Sine and Cosine and vectors
33testtest ch6 Laws of Sine and Cosine and vectors
349.1Circles
359.1Parabolas
369.2Ellipses
379.3Hyperbolas (do not cover eccentricity)
38reviewreview ch9 conic sections
39testtest ch9 conic sections
40Projectstudents work with a partner to make a review activity for a previous unit
41Projectproject
42Projectproject
43reviewreview for exam
44reviewreview 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.

sessionsectionHonors Precalculus version 2
1supplementabsolute value inequalities, quadratic inequalities, rational inequalities
21.3Graphs of Functions (vertical line test, relative extrema, even, odd)
31.4Shifting, Reflecting, Stretching
41.4transformations practice
51.6Inverse Functions
6reviewreview ch1 functions
7quizquiz ch1 functions
82.2Polynomial Functions of Higher Degree (leading coefficient test, intermediate value theorem)
92.2Polynomial Functions of Higher Degree continued
102.3Real Zeros of Polynomial Functions (Remainder and Factor Theorem, Rational Zero Test)
112.5Fundamental Theorem of Algebra
12reviewreview ch2 quadratic and polynomial functions
13quizquiz ch2 quadratic and polynomial functions
142.6Rational Functions and Asymptotes
152.7Graphs of Rational Functions
16practiceGraphs of Rational Functions practice
17supplementVariation (direct, inverse, joint)
18reviewreview ch2 polynomial/rational functions, variation
19testtest ch2 polynomial/rational functions, variation
203.1Exponential Functions and Their Graphs
213.2Logarithmic Functions and Their Graphs
22practicepractice Exponential and Log Functions
233.3Properties of Logarithms
24reviewreview ch3 exponential and log functions
25quizquiz ch3 exponential and log functions
263.4Solving Exponential and Logarithmic Equations
273.4Solving Exponential and Logarithmic Equations again
283.5Exponential and Logarithmic Models
29reviewreview ch3 exponential and log functions and equations
30testtest ch3 exponential and log functions and equations
318.1Sequences and Series
328.2Arithmetic Sequences and Partial Sums
338.3Geometric Sequences and Series
348.4Binomial Theorem
35reviewreview ch8 sequences, series, binomial theorem
36quizquiz ch8 sequences, series, binomial theorem
378.5Counting Principles
388.6Probability
39practicepractice probability
40reviewreview ch8 sequences, series, binomial theorem, probability
41testtest ch8 sequences, series, binomial, theorem, probability
424.3Right Triangle Trig
434.1Degree and Radian Measure: unit circle (paper plate activity)
444.1Degree and Radian Measure: linear and angular speed
454.2Trig Functions: The Unit Circle
464.4Trig Functions of Any Angle
47reviewreview ch4 trigonometric functions
48quizquiz ch4 trigonometric functions
49reviewreview for exam
50reviewreview for exam
Semester 2
14.5Graphing Sine and Cosine
2practicepractice graphing sine and cosine
3supplementModeling with sine/cosine graphs
44.6Graphs of Other Trig Functions
54.7Inverse Trig Functions
64.8Applications and Models
7reviewreview ch4 trig functions and graphs of trig functions
8testtest ch4 trig functions and graphs of trig functions
95.1Using Fundamental Identities
105.2Verifying Identities
115.3Solving Trig Equations
12reviewreview ch5 verifying identities and solving trig equations
13quizquiz ch5 verifying identities and solving trig equations
145.4Sum and Difference Identities
155.5Double Angle Identities (no half-angle)
16reviewreview ch5 trig identities and equations
17testtest ch5 trig identities and equations
186.1Law of Sines
196.2Law of Cosines
206.3Vectors in the Plane
216.36.3 again: Direction Angles
226.4Vectors and Dot Products
23reviewreview ch6 Laws of Sine and Cosine and vectors
24testtest ch6 Laws of Sine and Cosine and vectors
259.1Circles & Parabolas
269.2Ellipses
279.3Hyperbolas (includes eccentricity)
28practicepractice Conics
29reviewreview ch9 conic sections
30quizquiz ch9 conic sections
319.4Parametric Equations
329.5Polar Coordinates (and Equations)
339.6Polar Graphs
34practicepractice Polar
35reviewreview ch9 Conics and Polar
36testtest ch9 Conics and Polar
3711.1Introduction to Limits
3811.2Techniques for Evaluating Limits
3911.4Limits at Infinity
4011.3The Tangent Line Problem
41supplementLesson 5: Power Rule
42supplementLesson 6: Product and Quotient Rules
43reviewreview ch11 limits and derivatives
44quizquiz ch 11 limits and derivatives
45reviewreview for exam
46reviewreview for exam

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