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.

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35 minutes

Geometry

Suggested grades 9–11 · Unit 3: Circles and three-dimensional measurement

Arc Length, Radians and Sector Area

Use similarity to explain why arc length divided by radius depends on the angle.

▷ 3 teacher video choices: Arc Length, Radians and Sector Area
Preview 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 Area
35 minutes

Geometry

Suggested grades 9–11 · Unit 3: Circles and three-dimensional measurement

Volume Comparisons for Solid Designs

Compare equal dimensions without confusing radius, diameter and height.

▷ 2 teacher video choices: Volume Comparisons for Solid Designs
Preview 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 Designs

Earlier high school starter lessons with teacher video choices →