REMINDER: You need your textbook today! Problem of the Day REMINDER: You need your textbook today! Draw the following sketches on a coordinate grid: a. a linear increase b. an exponential growth c. an exponential decay d. a quadratic function/parabola Remember the 4-function foldable from Unit 1 where you explored different functions on a calculator?
Miss Thomas A.G. Waters Middle School Quadratic Patterns Miss Thomas A.G. Waters Middle School
Lesson Essential Q’s We’re going to focus on these … How can we identify patterns as quadratic, and use tables, graphs, and formulas to solve contextual problems? What are the characteristics of a quadratic function? What are the patterns in tables and graphs of quadratic functions?
Quadratics Exploration Review Graph the functions below in your ‘y =’ y = x² y = x²+5 y = x² – 1 y = -x² Talk with your group about what you notice/wonder about the equations above. Explore the tables to see the differences in the equations. Be specific!
Calculator Overview Steps …
Helpful tips … To complete the back, you might want to also try graphing some equations like these … y = (x+3)² y=(x+1)² y = (x-5)² y= (x-7)² y = 2x² y = -5x² y = .5x²
Quadratics Exploration Review (Pull up worksheet)
Journal Entry Time! Quadratic Functions
Journal Entry (Pull up worksheet)
https://prezi.com/f_8mksaqatir/quadratics/ Punkin’ Chunkin’ The town of Rehoboth Beach, Delaware, is a popular summer vacation spot along the Atlantic Ocean coast. When Labor Day passes, most beach people leave until the following summer. However, many return in the Fall for the annual Punkin’ Chunkin’ festival. The main attraction of this weekend is a “World Championship” contest to see which team of amateur engineers devised the best machine for launching pumpkins a long distance. https://prezi.com/f_8mksaqatir/quadratics/
Connections to Homework Problem 5 x² – 24 = 25 10 = 100 – 16t²
Continued …
Question Three
Continued …
Question Four
Question Five
You’re ALMOST done! Your ticket out of the door! Exit Tickets You’re ALMOST done! Your ticket out of the door!
Great job, class!