AP Precalculus - Course at a Glance - Plan, Teach, Assess

Sep 20, 2026

Uploaded by Graffin

AP Precalculus Course at a Glance provides a visual structure for core curricular components, outlining the sequence of units with suggested pacing for a full academic year. It connects topic progressions to mathematical practices such as procedural fluency, multiple representations, and communication and reasoning. The framework identifies required course content, learning objectives, and essential knowledge that support AP Exam assessment. Progress checks are assigned as homework or in class, delivering formative multiple-choice and free-response feedback.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Plan

Teach

Mathematical Practices

Required Course Content

Assess

Progress Checks

Course ata Glance Plan The Course at a Glance provides a useful visual organization for the AP Precalculus curricular components, including: ▪ Sequence of units, along with approximate weighting and suggested pacing. Please note, pacing is based on 45-minute class periods, meeting five days each week for a full academic year. ▪ Progression of topics within each unit. Teach MATHEMATICAL PRACTICES 1 Procedural and Symbolic Fluency 2 Multiple Representations 3 Communication and Reasoning Required Course Content Each topic contains required Learning Objectives and Essential Knowledge statements that form the basis of the assessment on the AP Exam. Assess Assign the Progress Checks—either as homework or in class—for each unit. Each Progress Check contains formative multiple-choice and free-response questions. The feedback from each Progress Check shows students the areas where they need to focus. | 2 3 | *
1.1 | Change in Tandem | | --- | --- | --- | | 2 3 | 1.2 | Rates of Change | |
3 | 1.3 | Rates of Change in Linear and Quadratic Functions | |
23 | 1.4 | Polynomial Functions and Rates of Change | |
12 | 1.5 | Polynomial Functions and Complex Zeros | |
3 | 1.6 | Polynomial Functions and End Behavior | |
13 | 1.7 | Rational Functions and End Behavior | |
1 | 1.8 | Rational Functions and Zeros | |
2 | 1.9 | Rational Functions and Vertical Asymptotes | | 3 | | | | | 1.10 | Rational Functions and Holes | |
13 | 1.11 | Equivalent Representations of Polynomial and Rational Expressions | |
13 | 1.12 | Transformations of Functions | |
23 | 1.13 | Function Model Selection and Assumption Articulation | 1 3 1.14 Function Model Construction and Application Progress Check Unit 1 Part 1: Topics 1.1–1.6 Multiple-choice: 18 questions Free-response: 2 questions Progress Check Unit 1 Part 2: Topics 1.7–1.14 Multiple-choice: 24 questions Free-response: 2 questions |
13 | 2.1 | Change in Arithmetic and Geometric Sequences | | --- | --- | --- | |
13
| 2.2 | Change in Linear and Exponential Functions | | 3
| 2.3 | Exponential Functions | | 1 3 | 2.4 | Exponential Function Manipulation | | 1 3 | 2.5 | Exponential Function Context and Data Modeling | |
23 | 2.6 | Competing Function Model Validation | | 1

2 | 2.7 | Composition of Functions | | 1

2 | 2.8 | Inverse Functions | | 1 | 2.9 | Logarithmic Expressions | |
12 | 2.10 | Inverses of Exponential | | Functions | | | |
3
| 2.11 | Logarithmic Functions | |
13 | 2.12 | Logarithmic Function Manipulation | |
1 | 2.13 | Exponential and Logarithmic Equations and Inequalities | |
13 | 2.14 | Logarithmic Function Context and Data Modeling | 2 3 2.15 Semi-log Plots Progress Check Unit 2 Part 1: Topics 2.1–2.8 Multiple-choice: 24 questions Free-response: 2 questions Progress Check Unit 2 Part 2: Topics 2.9–2.15 Multiple-choice: 24 questions Free-response: 2 questions * indicates that Mathematical Practices 2 and 3 are covered by Topic 1.1. AP Precalculus · Course Framework RetuRn to contents 17 COURSE ATA GLANCE (cont’d) 23 3.1 Periodic Phenomena 2 3 3.2 Sine, Cosine, and Tangent |
23 | 3.3 | Sine and Cosine
Function Values | | --- | --- | --- | |
23
| 3.4 | Sine and Cosine
Function Graphs | |
23 | 3.5 | Sinusoidal Functions | |
12 | 3.6 | Sinusoidal Function Transformations | |
13 | 3.7 | Sinusoidal Function Context and Data Modeling | |
23 | 3.8 | The Tangent Function | |
12 | 3.9 | Inverse Trigonometric Functions | |
123
| 3.10 | Trigonometric Equations and Inequalities | |
23 | 3.11 | The Secant, Cosecant, | | and Cotangent Functions | | | |
13 | 3.12 | Equivalent Representations of Trigonometric Functions | |
12
| 3.13 | Trigonometry and Polar Coordinates | |
23 | 3.14 | Polar Function Graphs | 3 3.15 Rates of Change in Polar Functions Progress Check Unit

FAQs

What does the “Course at a Glance” organize for AP Precalculus?

It visually organizes the AP Precalculus curricular components by unit sequence, topic progression, and the structure supporting learning objectives and essential knowledge.

How is pacing for the course described?

Pacing is based on 45-minute class periods, meeting five days each week for a full academic year.

What are Progress Checks and how are they used?

Progress Checks are formative assessments with multiple-choice and free-response questions for each unit. They provide feedback to show students which areas need focus.

Sep 20, 2026

Uploaded by Graffin