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
L7825 Differential calculus: derivatives graphing tool
L7826 Differential calculus: linear and non-linear graphs
L7827 Differential calculus: derivatives and power functions
L7828 Differential calculus: cubic and quartic functions
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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.
