function. b. Use the properties of given a growth or decay situation using exponents to interpret expressions for y=a(1+r)t. exponential functions. For example, Students will write an exponential function identify percent rate of change in for continuously compounded interest using Use the following resources to ensure that functions such as y = (1.02)t , y = (0.97)t , y-aert. the intended outcome and level of rigor y = (1.01) 12t, y = (1.2)t/10, and classify (mainly conceptual understanding and them as representing exponential growth application) of the standards are met. or decay. Tasks: TN Task Arc Natural Order of Things – Domain: Building Functions Cluster: Build a function that models a relationship between two quantities ★ Write a function that describes a relationship between two quantities. b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. Essential Question(s): Use the following Lesson(s) to introduce Vocabulary concepts/build conceptual understanding. The exponential function y=bx is Logarithm, logarithmic function, so its inverse x=by is a common logarithm, logarithmic scale Domain: Linear, Quadratic, and Exponential function. To express y as a function of Models x for the inverse, write y=logbx. Construct and compare linear, Cluster: Logarithms are exponents. In fact, quadratic, and exponential models and solve Writing in Math logba =c if and only if bc=a. problems. How are the domain and range related from Use the structure of an expression to the exponential function to the logarithmic identify ways to rewrite it. Objective(s): function? Students will write and evaluate logarithmic expressions. Have students to write a sentence(s), create Students will graph logarithmic functions. examples, and graph about their thinking. Students will y=logbx as the parent
function. b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t , y = (0.97)t , y = (1.01) 12t, y = (1.2)t/10, and classify them as representing exponential growth or decay. Domain: Building Functions Cluster: Build a function that models a relationship between two quantities ★ Write a function that describes a relationship between two quantities. b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. given a growth or decay situation using y=a(1+r)t. Students will write an exponential function for continuously compounded interest using y-aert. Use the following resources to ensure that the intended outcome and level of rigor (mainly conceptual understanding and application) of the standards are met. Tasks: TN Task Arc – Natural Order of Things Domain: Linear, Quadratic, and Exponential Models Cluster: Construct and compare linear, quadratic, and exponential models and solve problems. Use the structure of an expression to identify ways to rewrite it. Essential Question(s): The exponential function y=bx is so its inverse x=by is a function. To express y as a function of x for the inverse, write y=logbx. Logarithms are exponents. In fact, logba =c if and only if bc=a. Objective(s): Students will write and evaluate logarithmic expressions. Students will graph logarithmic functions. Students will y=logbx as the parent Use the following Lesson(s) to introduce concepts/build conceptual understanding. Vocabulary Logarithm, logarithmic function, common logarithm, logarithmic scale Writing in Math How are the domain and range related from the exponential function to the logarithmic function? Have students to write a sentence(s), create examples, and graph about their thinking.
Algebra%20II%20Q2%2016-17%20%209-19-16REV.docx