PPT Lesson 1 - Derivatives (First Principles)

*** Lesson 1 Derivatives from First Principles – Lesson PowerPoint & Worksheets***

This resource provides a comprehensive introduction to differentiation from first principles, ideal for students beginning their study of calculus. It is suited for A Level Mathematics (or equivalent courses) and focuses on linear and quadratic functions. (Sample of Slides 2, 4, 15, 25, and 31 is in listing for your convenience)

Resource Overview

This download includes:

Editable PowerPoint presentation (32 slides)

Step-by-step development of the derivative concept

Covers linear and quadratic (squared) functions

Animations and transitions enhance explanation flow

Includes a clear lesson objective, worked examples, and summary slide

Two printable PDF worksheets

Each with 12 scaffolded questions (24 questions total)

Ranges from very basic to confident introductory level

Includes one fully worked example per worksheet

Fully worked solutions

Separate answer document with complete workings for all questions

Learning Objectives

By the end of this lesson, students will be able to:

Understand the definition of a derivative from first principles

Apply the limit process to linear and quadratic functions

Strengthen algebraic manipulation skills within the context of calculus

Build foundational understanding for later formal differentiation rules

Teacher Guidance

The PowerPoint is fully editable to allow for customisation.

Animations are included to support teacher-led explanation.

A sample of the presentation is provided (Slides 2, 4, 15, 25, and 31) to preview lesson progression.

This resource does not include a lesson plan or video.

If you are looking for a complete video lesson (including voiceover, explanations, and all resources), please view the video-based version in my shop.

** Format**

PowerPoint (editable, .pptx)

Worksheets and solutions (PDF, printable)

Related Resources

For follow-up lessons or a bundle including video instruction, worksheets and answers, please browse my TES shop.