11/18 - 12/20: Functions and Models
We're reviewing our knowledge about mathematical functions and starting our study on how we use functions to model.
Monday, 11/18 - we reviewed the definition of function, function notation, domain, and range. Here are the slides from class. Here is your HW worksheet reviewing functions.
Tuesday, 11/19 - we reviewed inverse functions. Here are the slides from class. Here are the problems from class. Here are the homework problems.
Wednesday, 11/20 - we reviewed the key features of function graphs and practiced using our GDCs to sketch functions and find their key features. Here are the slides from class and here is the worksheet from class which includes your HW.
Thursday, 11/21 - we found intersections on our GDC and used other features on our GDC. Here are the slides from class and here is the worksheet from class which includes your HW.
Friday, 11/22 - it's a half day of school for Discipulus Led Conferences, Public Declamation, and the Olympian Games.
Monday, 11/25 - we were introduced to the modeling cycle. Here are the slides from class and here is the worksheet from class, including your HW for tonight.
Tuesday, 11/26 - we looked at linear models. Here are the slides from class and here is the homework worksheet.
Wednesday, 11/27 - we were introduced to piecewise functions. Here are the slides from class and here is the worksheet of classwork problems. Have a nice break!
Thursday, 11/28 & Friday, 11/29 - It's Thanksgiving. Enjoy your time off from school and with your families and loved ones!
Monday, 12/2 - we studied piecewise linear models and how to graph them on the GDC. Here are the slides from class and here is the worksheet of problems from class as well as your HW.
Tuesday, 12/3 - we looked at how we can use systems of equations to fit specific model forms. Here are the slides from class and here is the worksheet of HW problems.
Wednesday, 12/4 - we practiced factoring today. Here are the problems from class.
Thursday, 12/5 - we reviewed key features of graphs of quadratics. Here are the notes and problems from class, which you should finish for HW.
Friday, 12/6 - we used all of our knowledge about quadratics to determine equations from graphs and graphical features. Here are the problems from class.
Monday, 12/9 - we used quadratics to model real-world situations. Here are the slides from class and here is the worksheet from class, which includes your HW. You have a group quiz on using quadratics to model tomorrow.
Tuesday, 12/10 - we have a group quiz on using quadratics to model.
Wednesday, 12/11 - we used cubics to model real-world situations. Here are the slides from class and here is the worksheet from class, which includes your HW.
Thursday, 12/12 - we studied direct variation models. Here are the slides from class and here is the worksheet from class.
Friday, 12/13 - we studied inverse variation models. Here are the slides from class and here is the worksheet from class.
Monday, 12/16 - we differentiated between direct and inverse variation models and also noticed how they were similar. Here are the slides from class. Here is the worksheet from class which includes your HW.
Tuesday, 12/17 - we practiced a long IB style modelling problem, focusing on using our GDCs effectively. Here is the problem from class.
Wedneday, 12/18 & Thursday, 12/19 - we practiced lots of problems to help us prepare for our exam. Here are the problems from class.
Friday, 12/20 - we have an exam on functions and modeling. Be sure to have your GDC for the exam. Here are the topics:
Everything from Unit 3: Functions and Modelling
- functions: notation, domain, range
- function inverses: geometric & algebraic
- graphing skills: key features of graphs & intersections
- systems of equations on the GDC
- the modelling cycle
- linear models
- piecewise linear models
- quadratic models
- cubic models
- variation models
Happy Winter Recess! See you in January!