Gradient of the Tangent

Calculus PowerPoint on the gradient of the tangent, moving from the slope of a secant line to the limit that gives the slope of a curve at a point, with four worked examples.
Grades
Grade 12
File type
Microsoft PowerPoint
Use
Digital activity

Updated Oct 26, 2026

Subject
Math
Topic
Calculus, Gradient of Tangent
Resource types
Lesson Plans
Use
Digital activity

From the author

About this resource

PowerPoint presentation, 14 slides explaining to understand the meaning of the slope of a curve at a point.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Find the slope of a tangent line as the limit of secant slopes

  • Write the equation of a tangent line to a curve at a given point

Skills covered

  • Limit calculation — evaluating the limit of secant slopes in the worked examples

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Resource details

Concepts & topics

Core concepts

  • Secant line

  • Tangent line

  • Slope of a curve

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