Mathematics
- Algebra I →Suggested: Grades 9–10
- Geometry →Suggested: Grades 9–11
- Algebra II →Suggested: Grades 10–12
- Precalculus and Trigonometry →Suggested: Grades 11–12
- Statistics and Probability →Suggested: Grades 10–12
High School Curriculum Explorer · Grades 9–12
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138 original mini-lessons with video choices23 courses9 subject areas
Suggested pathways · Selected standards contributions · No calculus
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Each course has six lessons in three suggested units. Grade ranges guide placement; they are not universal requirements.
English language arts
- English 9 →Suggested: Grade 9
- English 10 →Suggested: Grade 10
- English 11 →Suggested: Grade 11
- English 12 →Suggested: Grade 12
Science
- Biology →Suggested: Grades 9–10
- Chemistry →Suggested: Grades 10–11
- Physics — Algebra and Trigonometry →Suggested: Grades 11–12
- Earth and Environmental Science →Suggested: Grades 9–12
Social studies
- World History →Suggested: Grades 9–10
- United States History →Suggested: Grades 10–11
- Civics and Government →Suggested: Grades 11–12
- Economics and Personal Finance →Suggested: Grades 11–12
Visual arts
- Visual Arts →Suggested: Grades 9–12
Music
- Music →Suggested: Grades 9–12
Health and physical education
- Health and Physical Education →Suggested: Grades 9–12
Computer science and digital literacy
- Computer Science and Digital Literacy →Suggested: Grades 9–12
World languages
- Spanish I →Suggested: Grades 9–12
- Spanish II →Suggested: Grades 10–12
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2 matching lessons
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Precalculus and Trigonometry
Suggested grades 11–12 · Unit 1: Functions, transformations and rational graphs
Transformations of a Function
Separate vertical changes from changes inside the input.
▷ 2 teacher video choices: Transformations of a FunctionPreview lesson: Transformations of a Function
Goal: Predict and verify transformed points and key graph features.
Before this: Function notation Quadratic and absolute-value graphs
Try together: For f(x)=|x|, map three points under h(x)=f(x+2)−4 and sketch the result.
Subject-content contributionHSF.BF.B.3High school · Functions
40 minutes
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 1: Functions, transformations and rational graphs
Polynomial Zeros and Rational Graph Boundaries
Use factors and a data table to distinguish roots, exclusions and graph behavior.
▷ 2 teacher video choices: Polynomial Zeros and Rational Graph BoundariesPreview lesson: Polynomial Zeros and Rational Graph Boundaries
Goal: Sketch a polynomial and a rational function with correctly labeled zeros and excluded inputs.
Before this: Factoring Polynomial division Coordinate graphing
Try together: Sketch y=(x−1)(x+4) using zeros, sign samples and the positive leading term. Identify the hole in(x²−9)/(x−3).
Subject-content contributionHSF.IF.C.7.cHigh school · Functions
Subject-content contributionHSF.IF.C.7.dHigh school · Functions(+) Additional preparation
Earlier high school starter lessons with teacher video choices →