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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6 matching lessons
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Algebra II
Suggested grades 10–12 · Unit 1: Polynomial and rational structure
Polynomial Operations and an Area Model
Use distribution and signs to combine polynomial expressions.
▷ 2 teacher video choices: Polynomial Operations and an Area ModelPreview lesson: Polynomial Operations and an Area Model
Goal: Add, subtract and multiply polynomials and explain why the results remain polynomials.
Before this: Distributive property Like terms
Try together: Expand (x−4)(x+2), then subtract (x²−2x−8) from your result.
Subject-content contributionHSA.APR.A.1High school · Algebra
35 minutes
Algebra II
Suggested grades 10–12 · Unit 1: Polynomial and rational structure
Rational Expressions as Quotient and Remainder
Rewrite a fraction of polynomials while preserving its original excluded inputs.
▷ 2 teacher video choices: Rational Expressions as Quotient and RemainderPreview lesson: Rational Expressions as Quotient and Remainder
Goal: Express a rational function as a polynomial plus a remainder fraction and state its domain.
Before this: Polynomial multiplication Factoring Division
Try together: Rewrite (x²+4x+7)/(x+2) and check by recombining.
Subject-content contributionHSA.APR.D.6High school · Algebra
35 minutes
Algebra II
Suggested grades 10–12 · Unit 2: Complex solutions and exponential models
Quadratics with Complex Solutions
Extend square-root reasoning beyond real-number solutions.
▷ 2 teacher video choices: Quadratics with Complex SolutionsPreview lesson: Quadratics with Complex Solutions
Goal: Solve real-coefficient quadratic equations with complex roots and verify a result.
Before this: Completing the square Square roots
Try together: Solve (x+1)²=−16 and verify one candidate.
Subject-content contributionHSN.CN.C.7High school · Number and Quantity
35 minutes
Algebra II
Suggested grades 10–12 · Unit 2: Complex solutions and exponential models
Exponential Models and a Logarithmic Solution
Solve for an exponent while stating the model’s assumptions.
▷ 3 teacher video choices: Exponential Models and a Logarithmic SolutionPreview lesson: Exponential Models and a Logarithmic Solution
Goal: Express a model’s solution using a logarithm and evaluate it appropriately.
Before this: Exponent laws Function notation Calculator logarithms
Try together: Solve 10·2^(t/2)=80, then interpret t in the model.
Subject-content contributionHSF.LE.A.4High school · Functions
35 minutes
Algebra II
Suggested grades 10–12 · Unit 3: Combining and reversing functions
Composition and the Order of Operations
Track an intermediate output through two functions.
▷ 2 teacher video choices: Composition and the Order of OperationsPreview lesson: Composition and the Order of Operations
Goal: Compute and interpret two compositions and identify a relevant input restriction.
Before this: Function notation Substitution
Try together: For p(x)=2x−1 and q(x)=x², compute p(q(3)) and q(p(3)).
Subject-content contributionHSF.BF.A.1.cHigh school · Functions(+) Additional preparation
35 minutes
Algebra II
Suggested grades 10–12 · Unit 3: Combining and reversing functions
Inverse Functions as Reversing a Rule
Solve for the original input and distinguish inverse from reciprocal.
▷ 2 teacher video choices: Inverse Functions as Reversing a RulePreview lesson: Inverse Functions as Reversing a Rule
Goal: Find a simple inverse rule and state its domain and interpretation.
Before this: Solving equations Function notation
Try together: Find the inverse of k(x)=5x+2 and use it to recover the input producing 27.
Subject-content contributionHSF.BF.B.4.aHigh school · Functions
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