computer algebra system. Lesson 5: Polynomial Models in the Real World Objective Ti-84 graphing calculator, SWBAT fit data to linear, quadratic, cubic, or quartic models, ASB correctly answering 5 / 6 exit slip questions. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them MP 4: Model with mathematics MP 5: Use appropriate tools strategically Vocabulary: regression, the (n + 1) Point Principle Common Misconceptions: Only one type of model can fit a given data set Choosing a that doesn't best fit a data set Skills Concepts Material/ Suggested Assessment Check CCSS What students will be able to What students will know Resource Pacing Point do F.IF.4: For a Review Review Lesson 2 day Lesson check pg. function that Domain of a function Evaluate a function for 5.8 335 #s 1 6 (5 & – models a is all the possible a given coordinate pair 6 challenge) relationship New between two Use LINREG, QUADREG, New quantities, and You can use CUBICREG on Ti-84 to sketch graphs polynomial functions model data set showing key to model many Use RREF() function on feature given a situations. The Ti-84 to find coefficient verbal description behavior of the graphs for polynomial of the of polynomial function relationship. functions of different F.IF.5: Relate the degrees can suggest domain of a what type of function to its polynomial will best fit graph and, where a particular data set. applicable, to the For any set of n + 1 quantitative points in the relationship it coordinate plane that describes pass the vertical line F.IF.6: Calculate test, there is a unique and interpret the polynomial of degree average rate of at most n that fits the change of a points perfectly function The best model for a (presented data set often symbolically or as depends on the a table) over a situation. specified interval.
computer algebra system. Lesson 5: Polynomial Models in the Real World Objective Ti-84 graphing calculator, SWBAT fit data to linear, quadratic, cubic, or quartic models, ASB correctly answering 5 / 6 exit slip questions. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them MP 4: Model with mathematics MP 5: Use appropriate tools strategically Vocabulary: regression, the (n + 1) Point Principle Common Misconceptions: Only one type of model can fit a given data set Choosing a that doesn't best fit a data set CCSS Concepts What students will know Skills What students will be able to do Material/ Resource Suggested Pacing Assessment Check Point F.IF.4: For a function that models a relationship between two quantities, and sketch graphs showing key feature given a verbal description of the relationship. F.IF.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes F.IF.6: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Review Domain of a function is all the possible New You can use polynomial functions to model many situations. The behavior of the graphs of polynomial functions of different degrees can suggest what type of polynomial will best fit a particular data set. For any set of n + 1 points in the coordinate plane that pass the vertical line test, there is a unique polynomial of degree at most n that fits the points perfectly The best model for a data set often depends on the situation. Review Evaluate a function for a given coordinate pair New Use LINREG, QUADREG, CUBICREG on Ti-84 to model data set Use RREF() function on Ti-84 to find coefficient for polynomial function Lesson 5.8 2 day Lesson check pg. 335 #s 1 – 6 (5 & 6 challenge)