Code Scholars Tutoring · Precalculus
Precalculus Course Outline
A topic-based sequence whose order and emphasis can be adapted to the student’s school curriculum.
The detailed notes are discussed during the course with worked examples, guided practice, and time for questions. Lesson order and pacing can follow the student’s school syllabus.
Explore the study guideUnit 1: Polynomial and Rational FunctionsStudents use structure and graph behavior to analyze equations, zeros, discontinuities, and long-run behavior.6 topics
- MCQ Sample
1.1Polynomial graphs
- FRQ Sample
1.2Zeros and multiplicity
- Enroll Now
1.3End behavior
- Enroll Now
1.4Rational functions
- Enroll Now
1.5Asymptotes and holes
- Enroll Now
1.6Equations and applications
Unit 2: Exponential and Logarithmic FunctionsStudents analyze multiplicative change and use inverse relationships to solve and interpret models.6 topics
- Enroll Now
2.1Exponential models
- Enroll Now
2.2Growth and decay
- Enroll Now
2.3Logarithm properties
- Enroll Now
2.4Inverse relationships
- Enroll Now
2.5Equations
- Enroll Now
2.6Applications
Unit 3: Trigonometric FunctionsThe unit circle supports exact values, function graphs, and periodic models.6 topics
- Enroll Now
3.1Radian and degree measure
- Enroll Now
3.2Unit circle
- Enroll Now
3.3Six trigonometric functions
- Enroll Now
3.4Trigonometric graphs
- Enroll Now
3.5Graph transformations
- Enroll Now
3.6Periodic modeling
Unit 4: Analytic and Applied TrigonometryStudents use identities and equations to transform relationships and solve mathematical or contextual problems.6 topics
- Enroll Now
4.1Fundamental identities
- Enroll Now
4.2Identity verification
- Enroll Now
4.3Trigonometric equations
- Enroll Now
4.4Inverse trigonometric functions
- Enroll Now
4.5Triangle applications
- Enroll Now
4.6Multi-step problem solving
Unit 5: Polar CoordinatesStudents translate between rectangular and polar viewpoints and interpret graphs in a new coordinate system.6 topics
- Enroll Now
5.1Plotting polar points
- Enroll Now
5.2Equivalent polar representations
- Enroll Now
5.3Rectangular-polar conversion
- Enroll Now
5.4Polar equations
- Enroll Now
5.5Polar graphs
- Enroll Now
5.6Symmetry and interpretation
Unit 6: Sequences, Series, and Integrated ModelingPatterns, sums, graphing, and technology come together in cumulative problem solving.6 topics
- Enroll Now
6.1Arithmetic sequences
- Enroll Now
6.2Geometric sequences
- Enroll Now
6.3Recursive and explicit rules
- Enroll Now
6.4Finite series
- Enroll Now
6.5Graphing-calculator analysis
- Enroll Now
6.6Model selection and interpretation
Independently developed by Code Scholars Tutoring. Lesson order and pacing can be adapted to the student’s school syllabus.
