September+Calculus+Lesson+Plans+07-08

[|September 4, 2007] [|September 5, 2007] [|September 6, 2007] [|September 7, 2007] [|September 10, 2007] [|September 11, 2007] [|September 12, 2007] [|September 13, 2007] [|September 14, 2007] [|September 17, 2007] [|September 18, 2007] [|September 19, 2007] [|September 20, 2007] [|September 21, 2007] [|September 24, 2007] [|September 25, 2007] [|September 26, 2007] [|September 27, 2007] [|September 28, 2007]

September 4, 2007

September 5, 2007 September 6, 2007 September 7, 2007

Do Now: Mentally and physically prepare for the exam

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

Agenda: EXAM

HW: NA

September 10, 2007 Do Now: 1QQ

Objectives: YWBAT apply properties of exponenties to simplify and rewrite expressions YWBAT identify the different between linear and exponential settings

Agenda: 1. Remember the exponent rules? 2. Practice makes perfect--as important as adding and subtracting 3. Exponents introduce different patterns: constant percentage change in values

HW: Exponents Handout

September 11, 2007

Do Now: 3QQ

Objectives: YWBAT graph exponential functions YWBAT determing the domain and range of exponential functions YWBAT interpret the behavior of exponential functions (growth vs. decay) YWBAT use exponential functions to describe compound interest and population growth

Agenda: 1. Think before you start: imagine what you are going to see 2. Verbalizing the behavior of a graph 3. Rates: growth vs. decay and how they look graphically 4. Compound interest and Population growth as case studies

HW: Blitzer, p. 384-385 #1-63 multiples of 3

September 12, 2007

Do Now: 4QQ

Objectives: YWBAT change from logarithmic to exponential form YWBAT change from exponential to lgoarithmic form YWBAT evaluate logarithms without using a calculator YWBAT apply logarithmic properties involving one YWBAT apply inverse properties of logarithms

Agenda: 1. Defining logarithms 2. Translation as key to defining logarithms and evaluating them 3. Basic properties of logarithms: emphasizing the inverse relationship between the two functions

HW: Blitzer, p. 397, #1-45 odds

September 13, 2007

Do Now: 3QQ

Objectives: YWBAT graph logarithmic equations YWBAT find the domain and range of logarithmic equations YWBAT use common and natural logs to evaluation expressions

Agenda: 1. Logarithms are inverses of exponential functions: reflecting around y=x 2. Domain restictions of logarithms (or what kind of outputs are their from exponential functions) 3. When to use and when not to use technology to come to your aid.

HW: Blitzer, p. 397-398, #48-99 multiples of 3

September 14, 2007

Do Now: 8QQ

Objectives: YWBAT use the product rule to condense, expand, and transform logarithmic equations YWBAT use the quotient rule to condense, expand, and transform logarithmic equations YWBAT use the power rule to condense, expand, and transform logarithmic equations YWBAT use the change-of-base property to evaluate logarithmic equations

Agenda: 1. Remember our exponent rules? If a logarithm is an exponent then they must also follow the same rules 2. Properties of manipulations 3. The role of the power rule in our future=solving 4. Evaluation of logs that are not base 10 or "natural"

HW: Blitzer, p. 407-408, #1-70, odds

September 17, 2007

Do Now: 5QQ

Objectives: YWBAT use like bases to solve exponential equations YWBAT use logarithms to solve exponential equations

Agenda: 1. Intuitively solving exponential equations 2. The necessity of logarithms in solving exponential equations or Inverses are beautiful things

HW: Blitzer, p. 418-419, #1-48 evens

September 18, 2007

Do Now: 4QQ

Objectives: YWBAT use the definition of a logarithm to solve logarithmic equations YWBAT apply the one-to-one property of logarithms to solve logarithmic equations

Agenda: 1. Transforming logarithmic functions 2. Logarithms are exponents therefore they are numbers! 3. One-to-one property (remember exponential equations with like bases?)

HW: Blitzer p. 418-419, #49-99 odds

September 19, 2007 College Prep Day and Data Analysis of SAT performance

September 20, 2007

Do Now: 6QQ

Objectives: YWBAT use logistic growth models to describe growth situations that cannot grow or decay indefinitely YWBAT apply Newton's Law of Cooling to problem situations and interpret the meaning of //k// YWBAT express an exponential models in base e

Agenda: 1. Logistic growth vs. untethered growth 2. Newton's Law of cooling: a case study of the role of constants in scientific models 3. Modeling growth situations with base e

HW: Blitzer handout, p.433-435 #22-34

September 21, 2007

Do Now: 6QQ

Objectives: YWBAT represent exponential functions verbally, symbolically and graphically YWBAT develop population models that describe growth or decay YWBAT calculate and interpret investment situations that grow at a constant percentage rate or continuously use exponential functions

Agenda: 1. Representing exponential functions graphically 2. Symbolic and verbal translation of population models 3. How the rich stay rich and the poor stay poor

HW; Review Packet due September 25, 2007

September 24, 2007

Do Now: 5QQ

Objectives: YWBAT employ the properties of logarithms to solve exponential equations. YWBAT apply logarithms to model and solve real world problems

Agenda: 1. Inverse functions (y=x and solving) 2. Properties of logarithms: a review 3. Modeling behavior using logarithms 4. Solving exponential equations using logarithms

HW: Packet due September 25, 2007

September 25, 2007

Do Now: Mentally and physically prepare for the exam

Objective: YWBAT demonstrate to yourself, your peers, and your teacher that you have mastered the content on exponents and logarithms

Agenda: Exam

HW: None

September 26, 2007 Serve Ourselves Farm trip with Seniors

September 27, 2007 All school hike

September 28, 2007 Professional Development Day