PERIODIC FUNCTIONS AND APPLICATIONS II 1 UNIT LEARNING GOALS: Assessment Exam concept of rate of change Success Criteria: calculation of average rates of change in both practical and purely mathematical situations Accurate and successful interpretation of the average rate of change as the gradient of the secant completion of problems understanding of a limit in simple situations from the textbook. definition of the derivative of a function at a point Reached set Target derivative of simple algebraic functions from first principles -------------------------------------------------------------------------- Key Verbs Understand relationships between the graph ofand the graphs of, for both positive , Interpret and negative values of the constant solutions to simultaneous equations in two variables: graphically, using technology Sketch algebraically (linear and quadratic equations only) Solve composition of two functions Concept of the inverse of a function -------------------------------------------------------------------------- graphs of,andfor any angle in degrees () and in radians () significance of the constants and on the graphs of A, B, C D , applications of periodic functions Resources Quest 11B: Glossary: Inverse function, Simultaneous equations, Limit 11B Maths SEMESTER II – RATES OF CHANGE 1 UNIT LEARNING GOALS: evaluation of the derivative of a function at a interpretation of instantaneous rate of change at a point as the gradient of a tangent and as the derivative at that point rules for differentiation including: interpretation of the derivative as the gradient function
PERIODIC FUNCTIONS AND APPLICATIONS II 1 UNIT LEARNING GOALS: concept of rate of change calculation of average rates of change in both practical and purely mathematical situations interpretation of the average rate of change as the gradient of the secant understanding of a limit in simple situations definition of the derivative of a function at a point derivative of simple algebraic functions from first principles -------------------------------------------------------------------------- relationships between the graph ofand the graphs of, , for both positive and negative values of the constant solutions to simultaneous equations in two variables: graphically, using technology algebraically (linear and quadratic equations only) composition of two functions Concept of the inverse of a function -------------------------------------------------------------------------- graphs of,andfor any angle in degrees () and in radians () significance of the constants A, B, C and D on the graphs of , applications of periodic functions Assessment Exam Success Criteria: Accurate and successful completion of problems from the textbook. Reached set Target Key Verbs Understand Interpret Sketch Solve Resources Quest 11B: Glossary: Inverse function, Simultaneous equations, Limit 11B Maths – SEMESTER II RATES OF CHANGE 1 UNIT LEARNING GOALS: evaluation of the derivative of a function at a interpretation of instantaneous rate of change at a point as the gradient of a tangent and as the derivative at that point rules for differentiation including: interpretation of the derivative as the gradient function
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