Mission: Thomas Alva Edison High School Will Deliver Challenging and Meaningful Instruction

Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Express limits Students will be able Read different Formative Week 1 Review AP symbolically using to interpret the functions assessments questions Work correct notation. meaning of limit Know symbolic Classwork on exploration notation as it applies representation of Homework activities to different different Quizzes functions. functions. Summative assessment Unit test Estimate a limit Students will Recognize the Formative Week 1 Review AP numerically and estimate a limit using graph of different assessments questions graphically. tables or looking at a functions. Classwork Work on graph. Homework exploration Quizzes activities Summative assessments Unit test

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Evaluate limits Evaluate limits of Factoring Formative Weeks 2-3 Review AP algebraically including different functions Rationalizing assessments questions on-sided limits, infinite using Direct denominators Classwork Work on limits, and limits at Substitution, What a continuous Homework exploration infinity. Cancelling out, and function is Quizzes activities Rationalization Which functions Summative methods. are continuous and assessments which functions Unit test are not The domain and range of a function

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Identify different types Identify when a Know the Formative Weeks 3-4 Review AP of discontinuity, function has a difference assessments questions including point, jump, and discontinuity between Classwork Work on infinite. including identifying continuous and Homework exploration the specific type. noncontiguous Quizzes activities Know how to use functions Summative limits to show a Calculate vertical assessment function is and horizontal Unit test continuous at a point. asymptotes Provide examples of functions that have a specific type of discontinuity for example, jump discontinuity or an infinite discontinuity at a specific value

Mission: Thomas Alva Edison High Schoolsuch will deliver as xchallenging = 2. and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Use the intermediate Find a specific value Factoring, use Formative Week 4 Review AP Value Theorem of x, for a given order of assessments questions interval of a operations to solve Classwork Use a graphing continuous function for an unknown Homework calculator to find using the value of x Quizzes zeros of a intermediate Value Summative function Theorem Assessment Unit test AP Calculus BC Students will use the Use Algebra rules Formative Week 2 Review AP Use the formal epsilon-dale to simplify assessments questions definition of a limit to definition of limits to expressions and Classwork Work on prove the existence of prove the existence inequalities Homework exploration limits of limits. Quizzes activities If 0 < |x – c| < , then Summative }f(x) – L| <  assessments Unit test

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Find the slope of the Use the limit process Use algebra to Formative Week 5 Review AP tangent line and the to find slope of the simplify assessments questions derivative of a function tangent, write the expressions Classwork Work on use the definition. equation of the Homework exploration tangent line and find Quizzes activities the derivative of a Summative including the use function. assessments of a graphing Unit test calculator Use differentiation Use differentiation Use algebra rules Formative Weeks 5-7 Review AP rules to find the rules to find the to simplify assessments questions derivative of basic derivative of a expressions Classwork Work on functions, including the function. Students including factoring Homework exploration power, logarithmic, will learn to by group and Quizzes activities exponential, natural determine which rule finding the GCF Summative exponential, to use in different Know specific assessments trigonometric and situations. value of the angles Unit test inverse trigonometric, Students will use a on the unit circle

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Use derivatives to solve Students will use Algebra rules Formative Weeks 8-9 Review AP problems involving derivative to solve assessments questions motion, related rates, problems involving Classwork Exploration and optimization. positions, velocity, Homework activities and acceleration of Quizzes falling objects. Summative Solve problems assessments involving related Unit test rates when the derivative is taken with respect to time. Students will solve optimization problems known as applied minimum and maximum problems.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? AP Calculus BC Find the first and Know the polar Formative Week 9 Review AP Use differentiation to second derivative of form of an assessments questions find the derivative of a parametric equation. Classwork, Exploration parametric, polar and equations where a Know the value of homework, quizzes activities vector valued functions third variable t, is the trigonometric Summative introduced usually as functions for assessments Unit a function of time. angles on the unit test Work with polar and circle. vector valued functions to find the derivative.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Use the Mean Value Students will know How to write Formative Week 8 Review AP Theorem for when the Mean Value paragraph proofs assessments questions differentiation Theorem can be When the Classwork Exploration applied to a function. difference Homework activities Students will know between Quizzes the MVT provides continuous and Summative the point in an non-continuous assessments interval where the functions Unit test average velocity is equal to the instantons velocity.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Apply differentiation to When given a How to find the Formative Weeks 10- Review AP determine the function algebraically derivative of a assessments 12 questions relationship between the or graphically function using Classwork Exploration graphs of f, f’ and f’’ students will be able differentiation Homework activities to do find the rules Quizzes critical numbers, the Summative intervals where a assessment graph is increasing or Unit test decreasing, the maximum and minimum, the points of inflection, the intervals where a graph is concave up or concave down.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Find the general and Use the rules of Differentiation Formative Week 13 Review AP particular solution of a integration to find rules and assessments questions function using the general solution integration rules Classwork, Exploration integration of a function. Know homework, and activities when finding a quizzes general solution, a Summative constant C, must be Assessments added at the end of Unit test the function. When finding, a particular solution use the initial condition to solve for the constant C. Students need to know that integration can be checked by

Mission: Thomas Alva Edison High Schoolusing will deliver differentiation. challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Use numerical Use rectangular Summation Formative Weeks 14- Review AP integration techniques approximation to Notations assessments 15 questions including Riemann sums estimate the area of The formula for Classwork, Exploration and trapezoidal sums to a functions, when area of a homework, and activities approximate the area of given a function or rectangle and quizzes a function. Including value in a table. This trapezoid. Summative the fact that a limit of a includes left, right, assessments Riemann sum is a midpoint, and Unit test definite integral trapezoidal approximations. Use the limit of a Riemann sum to find the exact area under a curve a definite integral

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Use integration rules to Students will be able Rules of algebra Formative Weeks 16- Review AP evaluate definite and to find the integral Evaluate a assessments 17 questions indefinite integrals. of a variety of function at a given Classwork, Exploration This includes, functions. Students value homework, and activities trigonometric, inverse will be able to quizzes trigonometric, determine when to Summative exponential, natural use u-substitution to assessments Unit exponential, and U- find the integral of a test substitution. function.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? AP Calculus BC Students will know The integration Formative Weeks 22- Review AP Use other techniques of when to apply the rules assessments 23 questions integration to find the different techniques Solve a system of Classwork, Exploration integral of a function, o integration to equations homework, and activities including integration by specific problems. quizzes parts, partial fractions, For example, when to Summative trigonometric use integration by assessments integration, and parts or partial Unit test improper integration fractions.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? Use both parts of the Use part I of the How to graph a Formative Week 18 Review AP fundamental theorem of fundamental function assessments questions calculus Theorem of Calculus The rules for Classwork, Exploration to find the area differentiation homework, and activities under a curve. and integration quizzes Use Part II of the Summative fundamental theorem assessments of calculus to show Unit test the inverse relationship between differentiation and integration.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? AP Calculus BC Students will be able Work with Formative Week 19 Review AP Solve differential to solve and exponential assessments questions questions involving interpret the equations Classwork, Exploration logistic growth, and meaning of logistic Apply the laws of homework, and activities Newton’s law of cooling growth problems and exponents quizzes Use Euler’s method to use Newton’s law of Summative approximate a value of a cooking to find the assessments function when given a temperature of an Unit test differential equation. item after it has cooked to a specific amount of time Use Euler’s method to approximate the value of a function for a given number of iterations when given a n initial condition

Mission: Thomas Alva Edison High Schooland will delivera differential challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? AP Calculus BC Students will Knowledge of Formative Weeks 24- Review AP Use different tests to recognize, different sequences and assessments 25 questions determine the types of series such series Classwork, Exploration convergence or as geometric, The formula for homework, and activities divergence of different telescoping, geometric series quizzes types of series. alternating, power, Summative and p series. assessments Students will know Unit test what tests to use to determine the convergence or divergence of these series.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.

Vision: Thomas Alva Edison High School will be a locally and nationally renowned learning environment where students, staff, parents and community members collaborate to ensure that all students are college and career ready. Essential Outcomes Chart: What is it we expect students to learn? Grade: 11-12 Subject: AP Semester 1 & Team Alicia Taylor Calculus 2 Members: AB/BC Standard Description Example Rigor Prerequisite Skills Common When Extension Assessment Taught? Standards What is the essential What does proficient What prior What assessment(s) When will What will we do standard to be learned? student work look like? knowledge, skills, will be used to this standard when students Describe in student- Provide an example and/or vocabulary measure student be taught? have learned the friendly vocabulary. and/or description. is/are needed for a mastery? essential student to master standard(s)? this standard? AP Calculus BC Students will know a Knowledge of Formative Weeks 26- Review AP Use Taylor and function can be factorials assessments 27 questions Maclaurin series to generated using a Writing Classwork, Exploration approximate polynomials, power series. Write a derivatives homework, quizzes activities and write functions Taylor or Maclaurin Properties of Summative polynomial. functions assessments Know the Maclaurin Unit test series for special functions like cos x, sin x, e^x, and ln |x|.

Mission: Thomas Alva Edison High School will deliver challenging and meaningful instruction within programs that are designed to prepare all students for a variety of post-secondary opportunities.