﻿ Introduction to differential calculus - (TLF R10711 v5.0.0)

This collection of 17 digital curriculum resources (all learning objects) is organised into three sections: rates of change; differential calculus; and review of differential calculus via three learning objects. Students explore rates of change through liquid-pouring activities, and are introduced to the gradient of secants for linear, quadratic, cubic and quartic equations by using distance-time graphs and reducing time intervals to highlight the relationship between average and instantaneous velocity. The collection also introduces the derivative, using first principles for all power functions. It enables students to investigate the relationships between power functions and their derivatives.

L759 Filling glasses: graphing and comparing

L760 Filling glasses: create the right graph

L761 Filling glasses: create the right glass

L1105 Filling glasses: find the right glass

L1106 Filling glasses: find the right graph

L9779 Filling glasses: match: assessment

L9780 Filling glasses: create: assessment

L7819 Differential calculus: linear graphs

L7820 Differential calculus: non-linear graphs

L7821 Differential calculus: the derivative

L7822 Differential calculus: power functions

L7823 Differential calculus: cubic function

L7824 Differential calculus: quartic function

This collection of 17 digital curriculum resources (all learning objects) is organised into three sections: rates of change; differential calculus; and review of differential calculus via three learning objects. Students explore rates of change through liquid-pouring activities, and are introduced to the gradient of secants for linear, quadratic, cubic and quartic equations by using distance-time graphs and reducing time intervals to highlight the relationship between average and instantaneous velocity. The collection also introduces the derivative, using first principles for all power functions. It enables students to investigate the relationships between power functions and their derivatives.