Differentiation assessment criteria

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ncea level 3 Calculus (Intergration) Note on Differentiation assessment criteria, created by honourcarmichael on 23/09/2013.
honourcarmichael
Note by honourcarmichael, updated more than 1 year ago
honourcarmichael
Created by honourcarmichael over 10 years ago
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Differentiation 3.6 6 credits mock exams achieved 10 Achievement You need to apply differentiation methods in solving problems. This could involve: selecting and using methods demonstrating knowledge of geometric concepts and terms communicating using appropriate representations. Problems are situations that provide opportunities to apply knowledge or understanding of mathematical concepts and methods. Situation will be set in a real-life or mathematical contexts. You need to be familiar with methods related to: derivatives of power, exponential, and logarithmic (base e only) functions derivatives of trigonometric (including reciprocal) functions optimisation equations of normals maxima and minima and points of inflection related rates of change derivatives of parametric functions chain, product, and quotient rules properties of graphs (limits, differentiability, continuity, concavity). Achievement with Merit Make sure that you can meet the criteria for achievement You need to apply the algebra of complex numbers, using relational thinking, in solving problems. This could involve one or more of: carrying out a logical sequence of steps connecting different concepts or representations demonstrating understanding of concepts forming and using a model and also relating findings to a context, or communicating thinking using appropriate mathematical statements. Achievement with Excellence Make sure that you can meet the criteria for merit You need to apply the algebra of complex numbers, using extended abstract thinking, in solving problems. This could involve one or more of: devising a strategy to investigate or solve a problem identifying relevant concepts in context developing a chain of logical reasoning, or proof forming a generalisation and also using correct mathematical statements, or communicating mathematical insight.

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