High School Curriculum Explorer · Grades 9–12

Explore the course.
Find your next step.

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
A starter map, with no accreditation or graduation credit.

Illustrated portrait of Mr. S

Connect the ideas.
Explain the reasoning.

Subject → Course → Unit → Lesson

Choose a course path.

About the standards ↓

Each course has six lessons in three suggested units. Grade ranges guide placement; they are not universal requirements.

Focus on one useful skill

What will you work on?

2 matching lessons

Clear filters
35 minutes

Precalculus and Trigonometry

Suggested grades 11–12 · Unit 3: Periodic models and finite sequences

A Sinusoidal Wheel-Height Model

Choose amplitude, midline, period and phase from a fictional rotating wheel.

▷ 2 teacher video choices: A Sinusoidal Wheel-Height Model
Preview lesson: A Sinusoidal Wheel-Height Model

Goal: Construct and check a periodic model at key quarter-period times.

Before this: Unit-circle sine and cosine Function transformations

Try together: Build a model with minimum 3, maximum 15, period 24 and a start at the highest point.

Subject-content contributionHSF.TF.B.5High school · Functions
Open lesson →: A Sinusoidal Wheel-Height Model
35 minutes

Precalculus and Trigonometry

Suggested grades 11–12 · Unit 3: Periodic models and finite sequences

Finite Geometric Sums in a Design

Derive a finite-sum formula by subtracting shifted copies rather than adding every term.

▷ 2 teacher video choices: Finite Geometric Sums in a Design
Preview lesson: Finite Geometric Sums in a Design

Goal: Derive and apply a finite geometric-series formula with a clearly counted number of terms.

Before this: Geometric sequences Exponent rules

Try together: Find 1+1/2+1/4+1/8+1/16, showing the shifted-sum method.

Subject-content contributionHSA.SSE.B.4High school · Algebra
Open lesson →: Finite Geometric Sums in a Design

Earlier high school starter lessons with teacher video choices →