﻿ PDST Post-Primary Maths | Workshop 8 – Functions, calculus and problem-solving
Working together to improve teaching & learning Leagan Gaeilge
Workshop & Event Resources ›› Workshop 8 - Functions, calculus and problem-solving

## Introduction

Workshop 8 focused on functions and introducing differential calculus. Time was also spent discussing problem-solving and the usefulness of developing a classroom culture of problem solving. If you missed workshop 8 or want to go back over some of the activities done on the day, you’ll find videos of the full workshop and all the resources used or references during the workshop below.

Workshop 8

Part 1

Workshop 8

Part 2

Workshop 8

Part 3

## Resources used or referenced in workshop

Teacher resource booklet

Limits and continuity

Discrete compounding approaching continuous compounding

Introduction to calculus

Investigating rates of change using filling cylinders

Investigating rates of change using a filling cone

Investigating rate of change using a filling vase

Examining filling flasks and their graphs

Using angry birds to introduce calculus

Relating the derivative of a function to its slope

Discovering the rules for finding the derivative of polynomial functions

Relating a cubic function to its derivatives

Sketching derivatives

Curve sketching the first and second derivatives of six functions

Curve sketching the first and second derivatives of any function

Graph matching functions and derivatives activity

Solutions to graph matching functions and derivatives activity

More activities on graph matching derivatives and functions

Problem solving as a means and not as an end

Using GeoGebra for teaching calculus