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11th Grade:

Anatomy 10/7Students will understand the derivatives of the skin. Skins will understand the functions of the skin.

Continuity and End Behavior(2) Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to:
(L) determine various types of discontinuities in the interval (-∞, ∞) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities;
(M) describe the left-sided behavior and the right-sided behavior of the graph of a function around discontinuities;
SWBAT: classify discontinuities and describe end behaviors of functions

Function Symmetry(2) Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to:
(D) describe symmetry of graphs of even and odd functions;
SWBAT: describe a function as even, odd, or neither and confirm symmetry algebraically

Graphing Functions(2) Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to:
(F) graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions;
SWBAT: graph exponential, power, and rational functions

Increasing and Decreasing Intervals(2) Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to:
(I) determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing;
SWBAT: signify the intervals which a function is either increasing, decreasing, or constant - minding proper notation.

Lesson PlanStudents will explore amplitude, period, phase shift, and vertical shift and develop general formulas for finding amplitude, period, and phase shift.
Students will use the unit circle and transformations to graph sine and cosine functions.

12th Grade:

CalculusStudents will be able to use the fundamental theorem of calculus to find the area under a curve.

Calculus lesson on LimitsStudents will learn the important role that limits play in the development of calculus. Limits is the core tool on which calculus is built.

DISCLAIMER: All **Calculus Lesson Plans** below were created by users of The Lesson Builder. These plans are not curated for quality, so we strongly suggest you verify a plan meets your standards before using it in a class.

Keywords used to find the puzzles above:

Derivative

Integrand

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