October+Calculus+Lesson+Plans+07-08

October 1, 2007 October 2, 2007 October 3, 2007 October 4, 2007 October 5, 2007 October 9, 2007 October 10, 2007 October 11, 2007 October 12, 2007 October 15, 2007 October 16, 2007 October 17, 2007 October 18, 2007 October 19, 2007

October 1, 2007

Do Now: 4QQ

Objectives: YWBAT address weakness by reexamining misconceptions and mistakes on the exp/log exam YWBAT interpret, construct, and model situations using exponential functions.

Agenda: 1. Reteaching: a look at the exam 2. Deepening and broadening exponential functions. 3. Graphs of functions (emphasis on intercepts, rates of change, meaning) 4. Modeling contexts

HW: Handout

October 2, 2007

Do Now: 5QQ

Objectives: YWBAT translate between exponential form and logarithmic form YWBAT apply properties of logarithms and exponential functions YWBAT use the inverse relationships between logs and exps to solve equations

1. Reteaching: a look at the exam 2. A review of properties, again. 3. Combining properties and inverse relationship in solving situations 4. Remember your domain and range possibilities for these functions

HW: Review Handout

October 3, 2007

Do Now: 6QQ

Objectives:

YWBAT interpret and create logarithm scales in analyzing sets of data YWBAT apply natural base and natural log in mathematical and real-world problem-solving contexts

Agenda: 1. Scales. . . from "linear" to "logarithmic" 2. Population change on a log scale: a case study 3. Natural Base and Natural Log: same properties 4. Using natural log in problem-solving contexts

HW: Review Handout

October 4, 2007

Do Now: 15QQ

Objectives: YWBAT apply and solve real-world problems using exponential and/or logarithmic functions

Agenda: 1. Review Do Now: Any mechanical problems? 2. Diversity of problem types: populations, decibels, pH, investments, extinction, earthquakes, etc. 3. Creating formulas. . . Using formulas

HW: Prepare for Exam, Handout due

October 5, 2007

Do Now: Prepare physically and mentally for exam

Objectives: YWBAT demonstrate mastery of the content to yourselves, your peers, and your teacher

Agenda: EXAM

HW: NA

October 9, 2007

Do Now: 3QQ

Objectives: YWBAT calculate the average rate of change of a function over an interval YWBAT optimize the approximation of the average rate of change at a point

Agenda: 1. Precalculus: what is the pre about 2. Average rate of change (lines and everybody else) 3. How can we get better approximations? 4. Deriving a general statement for average rate of change

HW: Demana Handout

October 10, 2007

Do Now: 4QQ

Objectives: YWBAT calculate limits graphically and numerically YWBAT interpret when a limit does not exist

Agenda: 1. A word that will do the work of infinity 2. Approaching a number and the behavior of a function near a point 3. Graphical examination of a limit 4. Numerical examination of a limit. 5. When a limit doesn't exist

HW: p. 54, 1-18

October 11, 2007

Do Now: 6QQ

Objectives: YWBAT October 12, 2007 October 15, 2007 October 16, 2007 October 17, 2007 October 18, 2007 October 19, 2007