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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Geometry
Suggested grades 9–11 · Unit 3: Circles and three-dimensional measurement
Use similarity to explain why arc length divided by radius depends on the angle.
▷ 3 teacher video choices: Arc Length, Radians and Sector AreaPreview lesson: Arc Length, Radians and Sector Area
Goal: Derive arc and sector formulas and apply them with consistent units.
Before this: Circle circumference and area Similarity
Try together: Find arc length and sector area for r=4 m and θ=π/2.
Subject-content contributionHSG.C.B.5High school · Geometry
Open lesson →: Arc Length, Radians and Sector AreaGeometry
Suggested grades 9–11 · Unit 3: Circles and three-dimensional measurement
Compare equal dimensions without confusing radius, diameter and height.
▷ 2 teacher video choices: Volume Comparisons for Solid DesignsPreview lesson: Volume Comparisons for Solid Designs
Goal: Calculate and compare cylinder, cone, pyramid and sphere volumes.
Before this: Area formulas Algebraic substitution
Try together: Find a cone’s height when its radius is 2 cm and volume is 20π cm³.
Subject-content contributionHSG.GMD.A.3High school · Geometry
Open lesson →: Volume Comparisons for Solid DesignsEarlier high school starter lessons with teacher video choices →