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Grades 11–12 (Electives) · Differentiation and Integration

Differentiation and Integration — The Birth of Calculus — Classroom Resources

A classroom-ready sequence of visual explanations, historical stories, puzzles, and stable deep links for teaching Differentiation and Integration — The Birth of Calculus. Move from a short warm-up to hands-on exploration and an optional extension.

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Copy 6 warm-up, exploration, and extension links straight into a worksheet, message, or LMS.

Classroom preset · A full-screen historical map preset for Differentiation and Integration — The Birth of Calculus, centered on Isaac Newton.

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Warm-up

The opening five minutes — a scene that sparks curiosity

Visual geometry🥧 Area of a Circle = πr² — Unrolling Sectors into a Rectangle

Open with Area of a Circle = πr² — Unrolling Sectors into a Rectangle. Ask students what they notice and what question the resource raises before introducing the formal idea.

Explore

Core lesson — students manipulate, notice, and explain

River of knowledgeThe River of Calculus

Let students explore The River of Calculus, then ask them to describe the pattern, argument, or representation in their own words.

ConceptCalculus

Let students explore Calculus, then ask them to describe the pattern, argument, or representation in their own words.

MathematicianIsaac Newton

Let students explore Isaac Newton, then ask them to describe the pattern, argument, or representation in their own words.

Extend

Extension or assignment — for students ready to go further

MathematicianGottfried Wilhelm Leibniz

Use Gottfried Wilhelm Leibniz as an extension or assignment that connects the lesson to a broader mathematical story.

MathematicianArchimedes

Use Archimedes as an extension or assignment that connects the lesson to a broader mathematical story.

Curriculum alignment

🇰🇷 Korea National Mathematics Curriculum (2022 Revision) (Ministry of Education Notice 2022-33, Appendix 8) Framework. The 2022 revision is being introduced by grade from 2024 through 2027. Grade placement, unit names, and achievement codes follow the official notice; official standard statements are preserved in Korean.

  • [12미적Ⅰ-02-01]Official achievement statement (Korean original)
  • [12미적Ⅰ-03-03]Official achievement statement (Korean original)
  • [12미적Ⅰ-03-05]Official achievement statement (Korean original)
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