Math



|||||||||||||||||||||||||||||||||||||| Understanding by Design Template By Ms. K and Ms. B || || ||  ||  || ||  ||  ||  || ** Stage 1 - Desired Outcome ** || || ||  ||  || ||  ||  ||  || **G ** || || ||  ||  || -Learn to use exponential functions to model real-world data. -Learn to graph exponential functions and their inverses, logarithmic functions. -Learn to solve exponential and logarithmic equations. || || || || || **U ** |||||| **Q ** || || ||  ||  || //Students will understand that… // ||   |||||||||||||||||| · How can we relate exponential functions and logarithmic functions to the real-world?  || || || || || -To evaluate logarithms, you can write them in exponential form. -A logarithmic function is the inverse of exponential functions. -You can use the properties of logarithms to rewrite logarithmic expressions.  ||  ||||||||||||||||||^   || || || || || * ||||||||||||||||||^  || || || || || * ||||||||||||||||||^  || || || || || //<span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Students will know. . . // -Properties of Logarithms (Product, Quotient, and Power) -Equation of a logarithmic function. -Equation of an exponential function. || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">K ** |||||| |||||||||||| //<span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Students will be able to // || ||  ||  || || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">T ** |||||| **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">OE ** || || ||  ||  || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">- Project-Predict U.S. population in 2015 to the nearest million. |||||||||||||||||| <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;"> Textbook pg. 434 #1-8 <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Pg. 451 1-20 odd <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Pg. 457 #1-20 even || || || || || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">* Graph the exponential decay of the depreciated car. ** Stage 3 - Learning Plan ** || || ||  ||  || ||  ||  ||  || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">L ** || || ||  ||  || ||  ||  || ||  ||  ||  || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">U ** |||||| **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Q ** || || ||  ||  || //<span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Students will understand that… // ||   |||||||||||||||||| · <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">How can we relate exponential functions and logarithmic functions to the real-world? <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;"> || || || || || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-To evaluate logarithms, you can write them in exponential form. <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-A logarithmic function is the inverse of exponential functions. <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-You can use the properties of logarithms to rewrite logarithmic expressions. <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;"> ||  ||||||||||||||||||^   || || || || || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">* ||||||||||||||||||^  || || || || || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">* ||||||||||||||||||^  || || || || || //<span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Students will know. . . // -Properties of Logarithms (Product, Quotient, and Power) -Equation of a logarithmic function. -Equation of an exponential function. || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">K ** |||||| |||||||||||| //<span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Students will be able to // || ||  ||  || **<span style="font-family: Arial; font-size: 18.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Stage 2 - Assessment Evidence ** || || ||  ||  || ||  ||  ||  || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">T ** |||||| **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">OE ** || || ||  ||  || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">- Project-Predict U.S. population in 2015 to the nearest million. |||||||||||||||||| <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;"> Textbook pg. 434 #1-8 <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Pg. 451 1-20 odd <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Pg. 457 #1-20 even || || || || || <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">* Graph the exponential decay of the depreciated car. **<span style="font-family: Arial; font-size: 18.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Stage 3 - Learning Plan ** || || ||  ||  || ||  ||  ||  || **<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">L ** || || ||  ||  || ||  ||  || ||  ||  ||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Established Goals: ** ||||||||  ||   ||   ||   ||   ||||||||||||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Established Goals: ** ||||||||  ||   ||   ||   ||   ||||||||||||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Essential Question: ** ||||||||||||
 * <span style="color: windowtext; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-Use these properties to evaluate logarithmic and exponential functions. **
 * <span style="color: windowtext; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-Identify properties of logarithms, simplify logarithms, and expand logarithms ****<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">. ** ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Performance Tasks: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Performance Tasks: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Other Evidence: ** ||||||||||||
 * Compare the amount of energy released in two earthquakes. ||||||||||||||||||  || || || || ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Learning Activities: ** ||||||||  ||   ||   ||   ||   ||||||||||||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Learning Activities: ** ||||||||  ||   ||   ||   ||   ||||||||||||
 * Investigate the energy released in two specific earthquakes.
 * Investigate the energy released in two specific earthquakes.
 * Investigate the energy released in two specific earthquakes.
 * Research the decay of depreciated cars that members of your family own family members. ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Understandings: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Essential Question: ** ||||||||||||
 * <span style="color: windowtext; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-Use these properties to evaluate logarithmic and exponential functions. **
 * <span style="color: windowtext; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">-Identify properties of logarithms, simplify logarithms, and expand logarithms ****<span style="color: red; font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">. ** ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Performance Tasks: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Performance Tasks: ** ||||||||  ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Other Evidence: ** ||||||||||||
 * Compare the amount of energy released in two earthquakes. ||||||||||||||||||  || || || || ||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Learning Activities: ** ||||||||  ||   ||   ||   ||   ||||||||||||
 * <span style="font-family: Arial; font-size: 10.0pt; mso-bidi-font-family: Arial; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: Arial;">Learning Activities: ** ||||||||  ||   ||   ||   ||   ||||||||||||
 * Investigate the energy released in two specific earthquakes.
 * Investigate the energy released in two specific earthquakes.
 * Investigate the energy released in two specific earthquakes.
 * Research the decay of depreciated cars that members of your family own family members. ||