April+Calc+06-07

[|April 2, 2007] [|April 3, 2007] [|April 4, 2007] [|April 5, 2007] [|April 9, 2007] [|April 10, 2007] [|April 23, 2007] [|April 24, 2007] [|April 25, 2007] [|April 26, 2007] [|April 27, 2007] [|April 30, 2007]

**April 2, 2007** Do NOW: 4QQ Objective: YWBAT recognize and use patterns of differentiation in order to integrate by substitution Agenda: 1. u-substitution and the chain rule 2. SEE the pattern …. 3. The beginning of changing variables in order to integrate. HW: p. 304 #1-5

**April 3, 2007** Do NOW: 4QQ Objectives: YWBAT recognize patterns of differentiation in order to integrate by substitution Agenda: 1. u-substitution and the chain rule 2. Variable substitution 3. Solving for the appropriate "du" form HW: p. 304 7-18 odd

**April 4, 2007** Do NOW: 4QQ Objectives: YWBAT use u-substitution and variable substitution to solve differential equations. Agenda: 1. Review of indefinite and definite integrals 2. Review of u-substitution 3. Transforming upper and lower bounds in terms of "u" HW: p. 304 8-34 even

**April 5, 2007** Do NOW: 4QQ Objectives: YWBAT apply and use the Trapezoidal Rule to approximate solutions to derivatives that are not elementary functions. Agenda: 1. Imagining trapezoids rather than rectangles 2. Sigma Notation, Limits, and the Trapezoidal Rule 3. Case Study: sinx HW: p. 314, #2-10 even

**April 9, 2007** Do NOW: 4QQ Objectives: YWBAT apply and use Simpson’s Rule to approximate derivatives that are not elementary functions. Agenda: 1. Imagining parabolic curves rather than rectangles or trapezoids 2. Sigma Notation, Limits, and Simpson’s Rule 3. Case Study: sinx HW: p. 314, #2-10 even

**April 10, 2007** Do NOW: 4QQ Objectives: YWBAT identify, deploy, and demonstrate basic integration rules mastered in chapter 4. . Agenda: 1. Indefinite Integrals 2. Definite Integration and Area 3. U-substitution and numerical integration 4. Approximation with Simpson and Traps HW: p. 317-318, #39-87

**April 23, 2007** Do Now: 5QQ Objectives: YWBAT articulate the meaning of indefinite and definite integration as it pertains to area YWBAT integrate using the general power rule and "u"-substitution YWBAT approximate integrals using the Trapezoid rule and Simpson's Rule Agenda: 1. Reviews of the meaning of integration 2. Review of the rules for integration: classic examples 3. Approximation: When do I approximate and what method do I choose? HW: Handout from //Calculus: Numerical, Graphical, Algebraic//.

**April 24, 2007** Do Now: Prepare your materials, workspace, and minds for the exam Objective: YWBAT demonstrate mastery of the course content to yourself, your peers, and Mr. Burris Agenda: 1. Quick questions regarding the exam content 2. Exam HW: Review class expectations of coursework while in New York City on school-related trip

**April 25, 2007** Do Now: Organize yourselves into a single group by forming a semi-circle and identify a leader of the group Objectives: YWBAT discover by reading the textbook (!) how to integrate and differentiate transcendental functions, specifically logarithmic and exponential functions Agenda: 1. Read pp. 322-327 2. Answer questions #7-16, 19-34, and 45-62 3. See handout for answers to the odd numbers in order to help you navigate the material 4. Read pp. 332-338 5. Answer questions #1-28 6. Again, see handout for answers to the odd numbers in order ot help you navigate the material HW: Complete unfinished problems from problem set defined in the Agenda

**April 26, 2007** Do Now: Organize yourselves into a single group by forming a semi-circle and identify a leader of the group Objectives: YWBAT discover by reading the textbook (!) how to integrate and differentiate transcendental functions, specifically logarithmic and exponential functions Agenda: 1. Read pp. 322-327 2. Answer questions #7-16, 19-34, and 45-62 3. See handout for answers to the odd numbers in order to help you navigate the material 4. Read pp. 332-338 5. Answer questions #1-28 6. Again, see handout for answers to the odd numbers in order ot help you navigate the material HW: Complete unfinished problems from problem set defined in the Agenda

**April 27, 2007** Do Now: Organize yourselves into a single group by forming a semi-circle and identify a leader of the group Objectives: YWBAT discover by reading the textbook (!) how to integrate and differentiate transcendental functions, specifically logarithmic and exponential functions Agenda: 1. Read pp. 322-327 2. Answer questions #7-16, 19-34, and 45-62 3. See handout for answers to the odd numbers in order to help you navigate the material 4. Read pp. 332-338 5. Answer questions #1-28 6. Again, see handout for answers to the odd numbers in order ot help you navigate the material HW: Complete unfinished problems from problem set defined in the Agenda

**April 30, 2007** Do Now: 8QQ Objectives: YWBAT solidify the discoveries and explorations of the previous week YWBAT identify the key skills necessary to integrate transcendental functions Agenda: 1. Socratically identify the concepts found in pages pp.322-338 2. Review key integration and differentiation rules for logarithms and rational functions of the type 1/x 3. Problem set: basic skills set HW: Handout from //Calculus: Numerical, Graphical, Algebraic//.