12B Maths Semester 1 – Periodic Functions and Applications 3 OPTIMISATION USING DERIVATIVES Introduction to integration 1 UNIT LEARNING GOALS: Assessment Exam Pythagorean identity Success Criteria: Solve trigonometric equations within a specified domain algebraically in simple situations (multiple angles are not essential) Accurate and successful using technology to any complexity completion of problems Find derivatives of functions involving and from the textbook. Applications of the derivatives ofandin life-related situations. Reached set Target. ----------------------------------------------------------------------------------- Key Know positive and negative values of the derivative as an indication of the points Integrate at which the function is increasing or decreasing Understand Know zero values of the derivative as an indication of stationary points Apply Understand concept of relative maxima and minima and greatest and value Solve of functions Graph methods of determining the nature of stationary points Sketch greatest and values of a function in a given interval Define --------------------------------------------------------------------------------------------------- definition of the definite integral and its relation to the area under a curve the value of the limit of a sum as a definite integral definition of the indefinite integral for integration including Resources Quest 12B: Glossary: Integral, Optimise 12B Maths SEMESTER 1 cont. – EXPONENTIAL AND LOGARITHMIC FUNCTIONS II OPTIMISATION USING DERIVATIVES II
12B Maths – Semester 1 Periodic Functions and Applications 3 OPTIMISATION USING DERIVATIVES Introduction to integration 1 UNIT LEARNING GOALS: Pythagorean identity Solve trigonometric equations within a specified domain algebraically in simple situations (multiple angles are not essential) using technology to any complexity Find derivatives of functions involving and Applications of the derivatives ofandin life-related situations. ----------------------------------------------------------------------------------- Know positive and negative values of the derivative as an indication of the points at which the function is increasing or decreasing Know zero values of the derivative as an indication of stationary points Understand concept of relative maxima and minima and greatest and value of functions methods of determining the nature of stationary points greatest and values of a function in a given interval --------------------------------------------------------------------------------------------------- definition of the definite integral and its relation to the area under a curve the value of the limit of a sum as a definite integral definition of the indefinite integral for integration including Assessment Exam Success Criteria: Accurate and successful completion of problems from the textbook. Reached set Target. Key Integrate Understand Apply Solve Graph Sketch Define Resources Quest 12B: Glossary: Integral, Optimise 12B Maths – SEMESTER 1 cont. EXPONENTIAL AND LOGARITHMIC FUNCTIONS II OPTIMISATION USING DERIVATIVES II
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