lesson
Optimisation in Geometric and Physical Contexts
Formulate mathematical models for volume, surface area, or cost, find stationary values, and verify optimality.
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Applications of Differentiation
5 lessons
Goal
Apply first and second derivatives to analyze curve geometry, classify stationary points, optimize physical systems, and solve connected rate problems.
5 lessons
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- Second Derivatives, Concavity, and Points of InflectionUp next
- Classifying Stationary Points and ExtremaNot started yet
- Optimisation in Geometric and Physical ContextsYou are here
- Connected Rates of Change ProblemsNot started yet
- Interpreting Derivatives in Unstructured ContextsNot started yet
Learning standards covered
OT2.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Recognise the underlying mathematical structure in a situation and simplify and abstract appropriately to enable problems to be solved]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OT2.2General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Construct extended arguments to solve problems presented in an unstructured form, including problems in context]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OT3.1General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Translate a situation in context into a mathematical model, making simplifying assumptions]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OT3.2General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Use a mathematical model with suitable inputs to engage with and explore situations (for a given model or a model constructed or selected by the student)]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OT3.3General Certificate of Education Advanced Level (UK A-Level) · Maths · 11th Grade[Interpret the outputs of a mathematical model in the context of the original situation (for a given model or a model constructed or selected by the student)]
Open Global Standard:OGM.12.PRC.1OGM.13.PRF.2
OGM.12.PRC.1OGM.13.PRF.2