Precalculus - Unit 1 Week 4

What
Precalculus - Unit 1 Week 4
When
2/4/2025

Pre-Calculus - Unit 1

Rational and Piecewise Functions

Week of: January 27

*for additional curriculum information, please visit the district's resource High School Pacing Guides  or Georgia Standards of Excellence

Pre-Calculus 

*Please note- this is a living document.  Information found may change.Please refer back often to see the most current version.

Considerations or scaffolds for Support

Considerations, additional learning for Honors



Standard(s): PC.FGR.2, PC.FGR.2.5


LT: 

  • I can analyze rational functions using different representations.

  • I can graph rational functions and identify key characteristics.


SC: 

  • I can explore the behavior of rational functions in a real-world context.

  • I can solve simple rational equations.

  • I can describe a rational function's end behavior by comparing growth rates of numerator and denominator functions.


Lesson/Activity:Daily 10, Notes - define rational function,discuss characteristics of a rational function, Identify the x and y intercept of a rational function from the equation.  Group Work - Rational Function problems 1-3 , Homework Textbook p 45 13-29 odd ( Factoring practice),  Page 169-171 3-11 odd, 27-35 odd, 47-51 odd

Resources:Teacher made activity





Standard(s): PC.FGR.2, PC.FGR.2.8


LT:

  • I can analyze rational functions using different representations.

  • I can graph a rational function using its characteristics


  • I can identify the characteristics of a rational function.

SC: 

  • I can find the horizontal asymptotes of a rational function.

  • I can find the slant asymptotes of a rational function

Lesson/Activity:Daily 10,Notes on Horizontal asymptotes, class cooperative practice, p 265 7,11,15,19,23 Match the function Activity

 

Resources: Textbook , TPT





Standard(s): PC.FGR.2 , PC.FGR.2.9 


LT:

  • I can use the characteristics of a function to graph it and write its equation.


SC: 

  • I can find the x and y intercepts, asymptotes and holes of a rational function.


Lesson/Activity:Daily 10, Quiz, Graphing rational functions notes and examples, Card sort activity,graphing rational functions worksheet

Resources:Teacher made quiz, TPT, Teacher made worksheet(Kuta)





Standard(s): PC.FGR.2.2, PC.FGR.2.3, PC.FGR2.6


LT:

  • I can solve simple rational equations while paying special attention to potential extraneous roots.


SC:

  • I can solve equations


Lesson/Activity: Daily 10, Notes and examples,Practice worksheet, Error Analysis Activity

Resources:Teacher made powerpoint, teacher made worksheet(Kuta)




Standard(s): PC.FGR.2.2, PC.FGR.2.3, PC.FGR2.6


LT:

  • I can solve simple rational equations while paying special attention to potential extraneous roots.

  • I can graph a piecewise function

  • I can identify the characteristics of a rational function.

  • I can graph a rational function

  • I can solve a rational equation


SC:

  • I can solve equations.

  • I can factor

  • I can find intercepts

  • I can find asymptotes

  • I can graph functions


Lesson/Activity: Daily 10,Review for unit test

Resources:Teacher made review



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