2.08+CALCULUS

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** || 12.1.3, 12.2.1, 12.2.2, 12.2.3, 12.2.4, 12.2.5, 12.3.1,12.3.2, 12.3.3,12.4.1, 12.4.2,12.4.3 || 35-50 || solving and graphing polynomial functions (linear, quadratic, cubic, etc) Absolute functions, Inequalities, Inverse functions, Growth and decay, logarithmic functions, conic sections, right triangle trigonometry, trigonometric functions, trigonometric identities and equations and formulas, polar graphs, vectors and determinants || Advanced Mathematics, Richard G Brown, Kahn Academy, Utube videos on the various topics, [|www.classzone.com] exam view test manager, || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 2-4 || polynomial, power, root, reciprocal, rational, algebraic, trigonometric, exponential, logarithmic, transcendental || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 2-4 || Transformations, translations, stretching, reflecting, composite || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 2-4 || viewing rectangle, display window, family of functions || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 18-25 || tangent, velocity, limit, one sided limit, left hand limit, right hand limit, infinite limit, vertical asymptote, horizontal asymptote, squeeze theorem, greatest integer, intervals, continuous, discontinuous, removable discontinuity, infinite discontinuity, jump discontinuity, intermediate value theorem, definition of a tangent (f(x)-f(a)/x-a, average rate of change, instantaneous rate of change, || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 24-36 || definition of a derivative, derivative as a rate of change, tangent and derivative, differentiation operators, differentiation, differentiable at a, differentiable on a open interval, vertical tangent, derivative of a constant, power rule, constant multiple rule, sum rule, difference rule, product rule, quotient rule, derivatives of trigonometric functions, chain rule, implicit differentiation, orthogonal, higher derivatives, acceleration, related rates, linear approximations, tangent line approximations, relative error, percentage error || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 30-45 || maximum, minimum, absolute maximum, absolute minimum, local maximum, local mininum, extreme values, critical numbers, Rolle's Theorem, Mean Value Theorem, increasing/decreasing test, first derivative test, concave upward, concave downward, second derivative test, definition of a limit(-∞,+∞), horizontal asymptote, even function, odd function, slant asymptotes, application of calculators to derivatives, optimization, average price function, demand function, profit function, marginal profit function, newtons method, antiderivative, differential equation, || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation || 12.3.1,12,3,2, 12,3,3 || 30-45 || area problem, area of a region, distance problem, definition of a definite integral, integral sign, integrand, limits of integration, lower limit, upper limit, integration, Reimann sum, evaluating limits, midpoint rule, properties of the integral, comparison properties of the integral, The fundamental theorem of Calculus, Fresnel function, indefinite integral, substitution rule, integrals of symmetric functions || Calculus, James Stewart, Kahn Academy, Utube videos, [|www.classzone.com] exam view test manager || Lectures, notes, individual student presentations, Daily homework assignments, worksheets, group work || quizzes,tests and participation ||
 * Teachers** (list)**:**
 * Textbook** (title, publisher, copyright date):
 * ~ (1) ||~ (2) ||~ (3) ||~ (4) ||~ (5) ||~ (6) ||~ (7) ||~ (8) ||~ (9) ||
 * **Obj #** || **Unit** || **Objective:**
 * 1 || 1 || review algebraic, geometric, and trigomometric concepts || 12.1.1,12.1.2,
 * ||  || Testing and review ||   || 4-6 ||   ||   ||   ||   ||
 * 2 || 1.1 || represent functions and relations || 12.3.1 || 2-4 || domain range, relation, function, increasing, decreasing, symmetry, even, odd || Calculus, James Stewart,
 * 3 || 1.2 || graph and write the different types of functions || 12.1.1,12,1.2, 12.1.3,
 * 4 || 1.3 || find new functions from old functions || 12.1.1,12,1.2, 12.1.3,
 * 5 || 1.4 || explore the use of graphing calculators to solve problems || 12.1.1,12,1.2, 12.1.3,
 * 6 ||  || review and test ||   || 3-6 ||   ||   ||   ||   ||
 * 7 || e || review principles of mathematical induction || 12.3, 12.2 || 2-4 || patterns, analogy, indirect reasoning, mathematical induction || Calculus, James Stewart,
 * 8 || 2 || investigate limits and their properties || 12.1.1,12,1.2, 12.1.3,
 * 9 || e || review and test ||  || 3-6 ||   ||   ||   ||   ||
 * 10 || 3 || calculate derivatives and solve problems involving rates of change and approximations of functions || 12.1.1,12,1.2, 12.1.3,
 * 11 || 4 || investigate the applications of differentiation. || 12.1.1,12,1.2, 12.1.3,
 * 12 || e || review and test ||  || 4-6 ||   ||   ||   ||   ||
 * 13 || 5 || use area and distance problems to formulate the idea of the definite intergal || 12.1.1,12,1.2, 12.1.3,
 * 14 || e || review and test ||  || 4-6 ||   ||   ||   ||   ||