Precalculus - Unit 1 Week 2

What
Precalculus - Unit 1 Week 2
When
1/14/2025

Pre-Calculus - Unit 1

Rational and Piecewise Functions

Week of: January 13

*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


January 13

Standard(s): PC.FGR.2, PC.FGR.2.1, PC.MM.1.1, PC.MM.1.2, PC.MM.1.3, PC.MM.1.4, PC.MP

LT: 

  • I can use characteristics of other functions to describe characteristics of a piecewise defined function. 

  •  I can describe characteristics of a piecewise-defined function using equations and graphs..

SC: 

  • I can identify the domain and range of a function. 

  • I can read function notation. 

  • I can evaluate a function.

Lesson/Activity:Daily 10, Piecewise Function Notes, Piecewise function Worksheet, Delta Math

Resources: Task 1, Powerpoint*, Worksheet, Delta Math, PreCalculus Functions and Graphs by Swokowski





January 14

Standard(s): PC.FGR.2, PC.FGR.2.2

LT: 

  • I can analyze a piecewise function.

  • I can describe characteristics by interpreting the algebraic form and graph of a piecewise-defined function.

  • I can find the limit of a piecewise function.

SC:

  • I can identify the domain and range of a function. 

  • I can read function notation. I can evaluate a function. 

Lesson/Activity:Daily 10 ,Define continuous and discontinuous,Parent Function Handout,Limit Slides,Limit Practice Handout, begin Task 2, complete Limit Practice for homework

Resources:Task 2




January 15

Standard(s): PC.FGR.2, PC.FGR.2.3

LT: 

  • I can analyze a piecewise function.

  • I can represent the limit of a function using both the informal definition and the graphical interpretation in the context of piecewise-defined functions. 

  • I can interpret limits expressed in analytic notation.

SC:

  • I can identify the domain and range of a function. 

  • I can read function notation. 

  • I can evaluate a function. 

  • I can represent the limit of a function using both the informal definition and the graphical interpretation in the context of piecewise-defined functions; interpret limits expressed in analytic notation.

Lesson/Activity:Daily 10, check limit homework, Domain and Range Powerpoint ,Domain Worksheet

Resources:Task 2,IXL, Delta Math




January 16

Standard(s): PC.FGR.2, PC.FGR.2.1, PC.FGR.2.2, PC.FGR.2.3


LT: 

  • I can analyze a piecewise function.

  • I can graph piecewise-defined functions, including step functions and absolute value functions.

  • I can describe characteristics by interpreting the algebraic form and graph of a piecewise-defined function.

  • I can represent the limit of a function using both the informal definition and the graphical interpretation in the context of piecewise-defined functions; interpret limits expressed in analytic notation.

SC:

  • I can identify the domain and range of a function. 

  • I can read function notation. 

  • I can evaluate a function. 

  • I can find the limit of a function from a graph. 

Lesson/Activity: Daily 10 - Characteristics from the graph, Greatest Integer function, Step function and Absolute value function as piecewise functions notes and examples, Greatest Integer Worksheet, Other applications of piecewise functions, Applications of Piecewise Functions Practice

Resources:,IXL, Delta Math,Task 4




January 17

Standard(s): PC.FGR.2, PC.FGR.2.4

LT: 

  • I can analyze a piecewise function.

  • I can graph piecewise-defined functions, including step functions and absolute value functions.

  • I can describe characteristics by interpreting the algebraic form and graph of a piecewise-defined function.

  • I can represent the limit of a function using both the informal definition and the graphical interpretation in the context of piecewise-defined functions; interpret limits expressed in analytic notation.

SC:

  • I can identify the domain and range of a function. 

  • I can read function notation. 

  • I can evaluate a function. 

  • I can find the limit of a function from a graph. 

Lesson/Activity:Daily 10 - diagnostic Assessment from Task 3,Homework Delta Math Practice

Resources:Task 3, Delta Math



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