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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

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.


sessionLessonTopicHomework
11.1Lines in the Plane
21.2Functions (relation vs. function, domain, range, piecewise)Functions CIRCUIT worksheet| DIGITAL and PRINT
31.2Graphs of Functions (vertical line test, relative extrema, even, odd)
41.3absolute value inequalities, quadratic inequalities, rational inequalitiesNon Linear Inequalities WORKSHEET
5reviewreview functions
6QUIZquiz unit 1 functions
71.4Transformations of FunctionsTransformations of Functions WORKSHEET
8practiceTransformations of Functions CARD SORT
91.5Combinations of Functions (operations, composition)Composition of Functions COLOR BY NUMBER
101.6Inverse FunctionsInverse Functions WORKSHEET | DIGITAL and PRINT
11reviewreview functions
12TESTtest unit 1 functions
132.1Quadratic FunctionsQuadratic Functions TRASHKETBALL GAME
142.2Polynomial Functions of Higher Degree (leading coefficient test, intermediate value theorem)
152.2Polynomial Functions of Higher Degree continuedPolynomial Division CARD SORT activity with Long Division and Synthetic Division
162.3Real Zeros of Polynomial Functions (Remainder and Factor Theorem, Rational Zero Test)
172.4Complex Numbers
182.5Fundamental Theorem of AlgebraPolynomial Functions CIRCUIT worksheet | Find All Zeros of Polynomials
19reviewreview quadratic and polynomial functionsPolynomial Functions CARD SORT | Fundamental Theorem of Algebra
20QUIZquiz unit 2 quadratic and polynomial functions
212.6Rational Functions and AsymptotesAsymptotes and Limits Bundle
222.7Graphs of Rational FunctionsGraphs of Rational Functions worksheet
23practice
Rational Functions CARD SORT
24reviewreview polynomial/rational functions, variation
25TESTtest unit 2 polynomial/rational functions, variation
263.1Exponential Functions and Their GraphsExponential Functions and Graphs CIRCUIT worksheet
273.2Logarithmic Functions and Their GraphsLogarithmic Functions and Their Graphs WORKSHEET | Digital and Print
28practice
Exponential and Log Functions and Graphs Practice WORKSHEET
293.3Properties of LogarithmsProperties of Logarithms CIRCUIT worksheet Level 2
30reviewreview exponential and log functions
31QUIZquiz unit 3 exponential and log functions
323.4Solving Exponential and Logarithmic EquationsSolving Exponential and Logarithmic Equations CIRCUIT worksheet | DIGITAL and PRINT
333.4Solving Exponential and Logarithmic Equations againSolving Exponential and Logarithmic Equations CARD SORT
343.5Exponential and Logarithmic ModelsExponential Functions Growth and Decay Applications CIRCUIT worksheet
35reviewreview exponential and log functions and equationsExponents and Logarithms Unit Review Game TRASHKETBALL
36TESTtest unit 3 exponential and log functions and equations
374.1Right Triangle TrigRight Triangle Trigonometry CIRCUIT worksheet
384.2Degree and Radian Measure: unit circle (paper plate activity)Radian and Degree Measure CIRCUIT worksheet
394.3Linear and Angular speedLinear and Angular Speed CIRCUIT worksheet
404.4Trig Functions: The Unit CircleUnit Circle CIRCUIT worksheet
414.5Trig Functions of Any AngleTrigonometric Functions of Any Angle CIRCUIT worksheet
42reviewreview trigonometric functionsUnit Circle REVIEW GAME
43QUIZquiz unit 4 trigonometric functions
444.6Graphing Sine and CosineGraphs of Sine and Cosine CIRCUIT worksheet
454.7Modeling with sine/cosine graphsModeling with Sine and Cosine WORKSHEET
464.8Graphs of Other Trig FunctionsGraphs of Other Trig Functions CIRCUIT worksheet
474.9Inverse Trig FunctionsInverse Trigonometric Functions CIRCUIT worksheet
48reviewreview 4 trig functions and graphs of trig functions
49TESTtest unit 4 trig functions and graphs of trig functions
50review for exam
51review for exam
Semester 2
15.1Using Fundamental IdentitiesSimplifying Trig Identities CIRCUIT worksheet with worked solutions | DIGITAL and PRINT
25.2Verifying IdentitiesVerifying Trigonometric Identities Practice Self Check | Proving Trig Identities
35.3Solving Trig EquationsSolving Trigonometric Equations CIRCUIT worksheet | DIGITAL and PRINT
4reviewreview verifying identities and solving trig equations
5QUIZquiz unit 5 verifying identities and solving trig equations
65.4Sum and Difference IdentitiesSum and Difference Identities CIRCUIT worksheet | DIGITAL and PRINT
75.5Double Angle & Half Angle IdentitiesDouble Angle Identities CIRCUIT worksheet with WORKED SOLUTIONS
8reviewreview trig identities and equations
9TESTtest unit 5 trig identities and equations
106.1Law of SinesLaw of Sines Side by Side Partner worksheet
116.2Law of CosinesLaw of Cosines Side by Side Partner worksheet
126.3Intro to VectorsIntro to Vectors Circuit
136.4Vectors in a PlaneVectors in a Plane Circuit worksheet
146.5Dot Product & Angle Between VectorsDot Product and Angle Between Vectors WORKSHEET
15reviewreview Laws of Sine and Cosine and vectors
16TESTtest unit 6 Laws of Sine and Cosine and vectors
177.1Circles & ParabolasConics Circles and Parabolas CIRCUIT worksheet
187.2EllipsesConics Ellipses WORKSHEET
197.3Hyperbolas (includes eccentricity)Conics Hyperbolas WORKSHEET
20practice
Conic Sections CARD SORT
21reviewreview conic sectionsConic Sections Review Game | Sticky Points
22QUIZquiz unit 7 conic sections
237.4Parametric EquationsParametric Equations CIRCUIT worksheet with worked solutions | DIGITAL and PRINT
247.5Polar Coordinates (and Equations)Polar Coordinates and Equations CIRCUIT worksheet with worked solutions | DIGITAL & PRINT
257.6Polar Graphs
26reviewreview Conics and Polar
27TESTtest unit 7 Conics and Polar
288.1Sequences and SeriesIntroduction to Sequences CIRCUIT worksheet | DIGITAL and PRINT
298.2Arithmetic Sequences and SeriesArithmetic Sequences and Series CIRCUIT worksheet | PRINT and DIGITAL
308.3Geometric Sequences and SeriesGeometric Sequences and Series CIRCUIT | DIGITAL and PRINT
318.4Binomial TheoremBinomial Theorem CIRCUIT worksheet | PRINT and DIGITAL
32reviewreview sequences, series, binomial theoremSequences and Series Review Game TRASHKETBALL
33QUIZquiz unit 8 sequences, series, binomial theorem
348.5Counting PrinciplesCounting Principles CIRCUIT worksheet
358.6ProbabilityProbability CIRCUIT worksheet
36reviewreview sequences, series, binomial theorem, probability
37TESTtest unit 8 sequences, series, binomial, theorem, probability
389.1Introduction to Limits. Finding limits graphicallyIntroduction to Limits WORKSHEET
399.2More About LimitsMore about Limits WORKSHEET
409.3Properties of Limits. Finding Limits AlgebraicallyProperties of Limits CIRCUIT
419.4Finding Limits Analytically: expanding, rationalizing, simplifying a complex fractionFinding Limits Analytically CIRCUIT
42reviewreviewreview for quiz
43QUIZQUIZ unit 9 Limits
449.5ContinuityContinuity worksheet
459.6Intermediate Value TheoremContinuity and the Intermediate Value Theorem SUM IT UP
469.7Infinite LimitsVertical Asymptotes and Limits Worksheet
479.8Limits at InfinityInfinite Limits WORKSHEET
48reviewreviewreview for test
49TESTTest unit 9 Limits
50reviewreview for exam
51reviewreview for exam






Other topics that are often taught in Precalculus:



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