High School Curriculum Explorer · Grades 9–12

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See what a course builds on, follow a suggested unit path and practice a useful skill. For students, families, homeschoolers, tutors and teachers.

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.

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35 minutes

Precalculus and Trigonometry

Suggested grades 11–12 · Unit 2: Exponential inverses and the unit circle

Logarithms as Exponential Inverses

Translate exponential and logarithmic statements and solve a model on its real domain.

▷ 3 teacher video choices: Logarithms as Exponential Inverses
Preview lesson: Logarithms as Exponential Inverses

Goal: Solve exponential equations using the inverse relationship and explain input restrictions.

Before this: Exponent laws Algebra II logarithmic solutions

Try together: Solve log₅(2x+1)=2 and state the real input condition.

Subject-content contributionHSF.BF.B.5High school · Functions(+) Additional preparation
Open lesson →: Logarithms as Exponential Inverses
35 minutes

Precalculus and Trigonometry

Suggested grades 11–12 · Unit 2: Exponential inverses and the unit circle

The Unit Circle Beyond One Turn

Interpret sine and cosine as coordinates for positive and negative radian angles.

▷ 3 teacher video choices: The Unit Circle Beyond One Turn
Preview lesson: The Unit Circle Beyond One Turn

Goal: Locate coterminal angles and determine coordinate-based sine and cosine values.

Before this: Coordinate plane Radian measure Circle radius

Try together: Find coordinates, sine and cosine for−π,7π/2 and 4π.

Subject-content contributionHSF.TF.A.2High school · Functions
Open lesson →: The Unit Circle Beyond One Turn

Earlier high school starter lessons with teacher video choices →