Objective(s): Students will: Evaluate an exponential function Graph general exponential functions Graph base-e exponential functions Solve exponential equations and applications Domain: N-NE – Number Expressions Enduring Understanding(s): 4.3 Logarithms and Logarithmic Functions Vocabulary (Coburn) Cluster: Represent, intercept, compare, and Transcendental function, logarithmic function, Functions need to be understood and simplify number expressions. 4.2 Logarithmic Functions (Blitzer) common logarithm, natural logarithm interpreted in terms of their context. A function can be represented in different ways; these different representations help Additional Resource(s) Writing in Math with analysis of the function. Algebra & Trigonometry (Coburn), 2nd Edition Compare and contrast exponential functions A function can be used to model the and logarithmic functions. (Exercise Videos, Lecture Videos, relationship between two quantities. Graphing Calculator Videos, New functions from existing functions can PowerPoint Presentations) Describe the product rule for logarithms and be understood and built. give an example. Comparing linear, quadratic, logarithmic Task(s) and exponential models to solve Describe the quotient rule for logarithms and problems is understood and applied. give an example. Select from the following tasks: What is a Logarithm? p. 40 Essential Question(s): Evaluating Logarithms that are not Common or Describe the power rule for logarithms and How do you use transformations to Natural .p. 51 give an example. sketch graphs of exponential and The Logarithmic Function p. 57 logarithmic functions? How Long Does It Take? p.64 You overhear a student talking about a Zombies Revisited – Can You Model Zombie How do you solve exponential and property of logarithms in which division Growth? p.72 logarithmic equations? becomes subtraction. Explain what the Half-Life p.78 student means by this. How Does Your Money Grow? p. 86 Objective(s): Applications of Logarithmic Functions p. 99 Students will: Newton’s Law of Cooling-Coffee, Donuts, and (later) Corpses p. 107
Objective(s): Students will: Evaluate an exponential function Graph general exponential functions Graph base-e exponential functions Solve exponential equations and applications Domain: N-NE – Number Expressions Cluster: Represent, intercept, compare, and simplify number expressions. Enduring Understanding(s): Functions need to be understood and interpreted in terms of their context. A function can be represented in different ways; these different representations help with analysis of the function. A function can be used to model the relationship between two quantities. New functions from existing functions can be understood and built. Comparing linear, quadratic, logarithmic and exponential models to solve problems is understood and applied. Essential Question(s): How do you use transformations to sketch graphs of exponential and logarithmic functions? How do you solve exponential and logarithmic equations? Objective(s): Students will: 4.3 Logarithms and Logarithmic Functions (Coburn) 4.2 Logarithmic Functions (Blitzer) Additional Resource(s) Algebra & Trigonometry (Coburn), 2nd Edition (Exercise Videos, Lecture Videos, Graphing Calculator Videos, PowerPoint Presentations) Task(s) Select from the following tasks: What is a Logarithm? p. 40 Evaluating Logarithms that are not Common or Natural .p. 51 The Logarithmic Function p. 57 How Long Does It Take? p.64 Zombies Revisited – Can You Model Zombie Growth? p.72 Half-Life p.78 How Does Your Money Grow? p. 86 Applications of Logarithmic Functions p. 99 Newton’s Law of Cooling-Coffee, Donuts, and (later) Corpses p. 107 Vocabulary Transcendental function, logarithmic function, common logarithm, natural logarithm Writing in Math Compare and contrast exponential functions and logarithmic functions. Describe the product rule for logarithms and give an example. Describe the quotient rule for logarithms and give an example. Describe the power rule for logarithms and give an example. You overhear a student talking about a property of logarithms in which division becomes subtraction. Explain what the student means by this.
Adv%20Alg%20_%20Trig%20Q2%20%20Final.docx