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AP Precalculus
This course explores everyday situations and phenomena using mathematical models. We investigate how the world changes through polynomial, rational, exponential, logarithmic, and trigonometric functions.
Credits:Curriculum authored by Bryan Passwater. Video solutions by Mr. Sindel.
Start Here — Full AP Precalculus Video Solutions Playlist
Each video corresponds to a lesson below. Work through them in order alongside the notes and worksheets.
AP Precalculus
AP Precalculus
Course Overview
Unit 1
Polynomial and Rational Functions
Rates of change, modeling with polynomial functions, zeroes of polynomials, and end behavior of rational functions.
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Unit 2
Exponential and Logarithmic Functions
Arithmetic and geometric sequences, compound interest, exponential modeling, and logarithmic properties.
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Unit 3
Trigonometric and Polar Functions
Angles in standard position, the unit circle, graphing trigonometric functions, and polar coordinates.
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Unit 4
Functions Involving Parameters, Vectors, and Matrices
Parametric equations, vector operations, and matrix transformations.
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Unit 1
Polynomial and Rational Functions
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Topic 1.1
Topic 1.2
Topic 1.3
Quiz 1.1-1.3
Study — prepare for Test 1.1-1.6
Test 1.1-1.6
Study — prepare for Test 1.7-1.11
Test 1.7-1.11
Study — prepare for Unit 1 Test
Unit 1 Test
80 min
Topic 1.4
Topic 1.5
Topic 1.6
30 min
Review 1.1-1.6A
Review 1.1-1.6A Video Solutions
44 min
Review 1.1-1.6B
Review 1.1-1.6B Video Solutions
44 min
Review 1.1-1.6C
Review 1.1-1.6C Video Solutions
16 min
Review 1.1-1.6D
Review 1.1-1.6D Video Solutions
42 min
Topic 1.7
Topic 1.8
Topic 1.9-1.10
Topic 1.11
Topic 1.12
66 min
Worksheet 1.12C Video Solutions
Worksheet 1.12 MEGA
Worksheet 1.12 MEGA Video Solutions
145 min
Topic 1.13-1.14
Notes 1.13-1.14
Notes 1.13-1.14 Video
14 min
Unit 2
Exponential and Logarithmic Functions
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Topic 2.1
Topic 2.2
Notes 2.2 Video
17 min
Worksheet 2.2A
Worksheet 2.2A Video Solutions
17 min
Worksheet 2.2B
Worksheet 2.2B Video Solutions
11 min
Topic 2.3
Notes 2.3 Video
10 min
Worksheet 2.3A
Worksheet 2.3A Video Solutions
9 min
Worksheet 2.3B
Worksheet 2.3B Video Solutions
5 min
Topic 2.4
Topic 2.5
Topic 2.6
Study — prepare for Test 2.1-2.6
Test Topics 2.1-2.6
Study — prepare for Quiz 2.7-2.9
Quiz Topics 2.7-2.9
Study — prepare for Test 2.1-2.12
Test Topics 2.1-2.12
70 min
Study — prepare for Quiz 2.13-2.15
Quiz Topics 2.13-2.15
Topic 2.7
Notes 2.7 Video
29 min
Worksheet 2.7A
Worksheet 2.7A Video Solutions
29 min
Worksheet 2.7B
Worksheet 2.7B Video Solutions
13 min
Topic 2.8
Notes 2.8 Video
48 min
Worksheet 2.8A
Worksheet 2.8A Video Solutions
16 min
Worksheet 2.8B
Worksheet 2.8B Video Solutions
9 min
Topic 2.9
Notes 2.9 Video
27 min
Worksheet 2.9A
Worksheet 2.9A Video Solutions
15 min
Worksheet 2.9B
Worksheet 2.9B Video Solutions
18 min
Topic 2.10
Topic 2.11
Topic 2.12
Topic 2.13
Notes 2.13 Video
51 min
Worksheet 2.13A
Worksheet 2.13A Video Solutions
41 min
Worksheet 2.13B
Worksheet 2.13B Video Solutions
21 min
Worksheet 2.13C
Worksheet 2.13C Video Solutions
55 min
Worksheet 2.13D
Worksheet 2.13D Video Solutions
13 min
Topic 2.14
Topic 2.15
Unit 3
Trigonometric and Polar Functions
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Topic 3.1
Notes 3.1 Video
25 min
Worksheet 3.1A
Worksheet 3.1A Video Solutions
28 min
Worksheet 3.1B
Worksheet 3.1B Video Solutions
7 min
Worksheet 3.1C
Worksheet 3.1C Video Solutions
6 min
Worksheet 3.1D
Worksheet 3.1D Video Solutions
9 min
Worksheet 3.1E
Worksheet 3.1E Video Solutions
5 min
Worksheet 3.1F
Worksheet 3.1F Video Solutions
4 min
Worksheet 3.1G
Worksheet 3.1G Video Solutions
5 min
Quiz Topic 3.1
Quiz Topic 3.3
Quiz Topics 3.4-3.5
Quiz Topic 3.6
Quiz Topics 3.6-3.7
Quiz Topic 3.8
Quiz Topic 3.10
Quiz Topic 3.11
Quiz Topic 3.12
Quiz Topic 3.13
Study
Topic 3.2
Notes 3.2
Notes 3.2 Video
46 min
Worksheet 3.2A
Worksheet 3.2A Video Solutions
13 min
Worksheet 3.2B
Worksheet 3.2B Video Solutions
10 min
Topic 3.3
Notes 3.3 Video
29 min
Worksheet 3.3A
Worksheet 3.3A Video Solutions
6 min
Worksheet 3.3B
Worksheet 3.3B Video Solutions
4 min
Worksheet 3.3C
Worksheet 3.3C Video Solutions
4 min
Blooket Review: Location of Radians & Trig Values
Topic 3.4-3.5
Notes 3.4-3.5 Video
18 min
Worksheet 3.4-3.5A
Worksheet 3.4-3.5A Video Solutions
13 min
Worksheet 3.4-3.5B
Worksheet 3.4-3.5B Video Solutions
25 min
Topic 3.6
Notes 3.6 Video
28 min
Worksheet 3.6A
Worksheet 3.6A Video Solutions
29 min
Worksheet 3.6B
Worksheet 3.6B Video Solutions
25 min
Worksheet 3.6C
Worksheet 3.6C Video Solutions
26 min
Topic 3.7
Notes 3.7 Video
15 min
Worksheet 3.7A
Worksheet 3.7A Video Solutions
36 min
Worksheet 3.7B
Worksheet 3.7B Video Solutions
12 min
Topic 3.8
Notes 3.8 Video
19 min
Worksheet 3.8A
Worksheet 3.8A Video Solutions
17 min
Worksheet 3.8B
Worksheet 3.8B Video Solutions
21 min
Topic 3.9
Topic 3.10
Notes 3.10
Notes 3.10 Video
62 min
Worksheet 3.10A
Worksheet 3.10A Video Solutions
31 min
Worksheet 3.10B
Worksheet 3.10B Video Solutions
44 min
Worksheet 3.10C
Worksheet 3.10C Video Solutions
18 min
Worksheet 3.10D
Worksheet 3.10D Video Solutions
33 min
Topic 3.11
Notes 3.11 Video
14 min
Worksheet 3.11A
Worksheet 3.11A Video Solutions
Worksheet 3.11B
Worksheet 3.11B Video Solutions
Topic 3.12
Notes 3.12 Video
31 min
Worksheet 3.12A
Worksheet 3.12A Video Solutions
Worksheet 3.12B
Worksheet 3.12B Video Solutions
Blooket Review of Properties
Topic 3.13
Topic 3.14
Notes 3.14 Video
27 min
Worksheet 3.14A
Worksheet 3.14A Video Solutions
Worksheet 3.14B
Worksheet 3.14B Video Solutions
Topic 3.15
Notes 3.15 Video
39 min
Unit 4: Functions Involving Parameters, Vectors, and Matrices
Parametric equations, vector operations, and matrix transformations.
Test Prep
AP Exam Review
Comprehensive review materials for the AP Precalculus exam.
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3-Peat A
7 min
3-Peat B
5 min
3-Peat C
8 min
3-Peat D
7 min
3-Peat E
11 min
3-Peat F
5 min
3-Peat G
5 min
3-Peat H
9 min
3-Peat I
7 min
3-Peat J
7 min
3-Peat K
5 min
3-Peat L
5 min
3-Peat M
7 min
3-Peat N
6 min
3-Peat O
6 min
Practice Test 1