Lesson+Plan+Unit

= **Calculus I Differentiation Unit** =

**Lesson Plans – Hogwarts High School**
§2.1: Students will be able to: find the slope of the tangent line to a curve at a point, use the definition of a limit to find the derivative of a function, and identify the relationship between differentiability and continuity. §2.2: Students will be able to: find the derivative of a function using the Constant Rule, Power Rule, Constant Multiple Rule, and Sum and Difference Rules. Students will also be able to find the derivative of the sine, cosine, and exponential functions. Students will be able to use derivatives to find rates of change. §2.3: Students will be able to: find the derivative of a function using the Product Rule and Quotient Rule, find the derivative of a trigonometric function, and find a higher-order derivative of a function. §2.4: Students will be able to: find the derivative of composite and transcendental functions using the Chain Rule, find the derivative of a function using the General Power Rule, simplify the derivative using algebra, find the derivative of a function involving a natural logarithmic function, define and differentiate exponential functions that have bases other than //e//. ||
 * **Unit:** Differentiation ||
 * **Instructor:** Ms. Notz ||
 * **Subject:** Calculus I ||
 * SSS Benchmarks:** MA.A.1.4.1, MA.A.1.4.4, MA.A.2.4.1, MA.A.3.4.1, MA.A.3.4.2, MA.A.3.4.3, MA.B.1.4.2, MA.C.3.4.2, MA.D.1.4.1, MA.D.1.4.2
 * AP Benchmarks:** 1.1, 2.2, 2.3, 3.2, 4.1, 5.2, 5.3, 8.1, 8.2, 9.1 AP Benchmarks
 * **Objectives for the Unit (week 2):** Students will learn the fundamentals of differentiation and know how to use and apply differentiation with at least 80% accuracy. Objectives for week 2 are divided into 4 sections.
 * **Instructional Strategies for the Unit:** We will be covering §2.1, 2.2, 2.3, and 2.4 (pages 112 through 160) of the book. I will use direct instruction and time in the computer lab. ||
 * **Assessments:** Homework assignments, SMART Board quiz, GeoGebra project ||
 * **Materials/ Text References/ Resources:** Larson, Hostetler, and Edwards //Calculus: Early Transcendental Functions// 3rd edition text, graphing calculators, computers, remotes for quiz, GeoGebra, SMART Board, projector ||
 * **Utilization of Materials:** Students will use the book to learn and understand the concepts. The graphing calculators will help the students with applying the concepts. The SMART Board will be used to present lectures as well as allowing students to manipulate equations and their derivatives. GeoGebra and the computers will reinforce the students understanding of the materials. The SMART Board quiz remotes will be used during the quiz to assess the students understanding and comprehension of the material. ||

_._ dictionary in Native Language _x_ vocabulary discussed and/or given ahead of Reading _._ tiered chapter reading _x_ additional time to complete tests, quizzes, assignments _x_ copy of class notes _x_ additional text book at home _x_ structured note taking _x_ guided questions _._ open book testing _._ use of student notes for testing _x_ highlighted concepts || _x_ implements changes to teaching methods _x_ changes the way students practice and demonstrate what they are learning in assignments _x_ provides flexible setting for tests _x_ assists students who need to work at a different pace _x_ provides additional time _x_ provides materials uncluttered and/or highlighted ___ uses advance organizers and/or study guides _x_ uses proximity control _x_ uses cueing _x_ uses prompting _x_ uses peer support _x_ uses flexibility grouping _x_ uses preferential seating ||
 * **Academic Vocabulary**: Definition of Tangent Line, Secant Line, Vertical Tangent Line, Differentiation, Derivative, Position Function, Average Velocity, Velocity, Speed, Acceleration, Second Derivative, Higher-Order Derivative, Chain Rule, General Power Rule, Base ||
 * **ELL Strategies:**
 * **ESE Accommodations:**