Precalculus - Derivatives

What
Precalculus - Derivatives
When
5/20/2025

5/16

Standard(s): PC.FGR.2.3 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.

LT: 

  • I can evaluate a limit


SC: 

  • I can determine the limit, if one exists, given a graph

  • I can find the limit of a function at a point for a given function


Lesson/Activity:

Engage: Review characteristics of graphs

Explore: Look at left hand and right hand limits

Apply: Worksheet on limits

Reflect: Ticket out the door


Resources: Teacher made worksheet, Kuta


5/19

Standard(s): PC.FGR.2.3 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.

LT: 

  • I can find a derivative


SC: 

  • I can use the limit definition of a derivative to find the derivative of a function 


Lesson/Activity:

Engage: Review limits/homework questions

Explore: Look at the importance of derivatives, guided notes on finding a derivative

Apply: DeltaMath assign on secant lines at a point

Reflect: Thumbs up/thumbs down


Resources: DeltaMath


5/20

Standard(s): PC.FGR.2.3 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.

LT: 

  • I can write a derivative as a limit


SC: 

  • I can use the definition of a derivative at a point to write the limit as h approaches 0


Lesson/Activity:

Engage: Questions from secant line assignment

Explore: Guided notes on writing limit definitions for a function

Apply: DeltaMath assignment on writing a derivative as a limit

Reflect: Ticket out the door


Resources: Teacher made worksheet, Kuta


5/21

Standard(s): PC.FGR.2.3 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.

LT: 

  • I can evaluate a limit


SC: 

  • I can determine the limit, if one exists, given a graph

  • I can find the limit of a function at a point for a given function


Lesson/Activity:

Engage: Review characteristics of graphs

Explore: Look at left hand and right hand limits

Apply: Worksheet on limits

Reflect: Ticket out the door


Resources: Teacher made worksheet, Kuta


5/22

Standard(s): PC.FGR.2.3 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.

LT: 

  • I can use the limit definition to find a derivative at a point


SC: 

  • I can write a derivative as a limit for a function as h approaches 0

  • I can write a derivative as a limit for a function when x=a


Lesson/Activity:

Engage: Review derivatives as limits when h approaches 0

Explore: Look at derivatives as limits at x=a

Apply: DeltaMath on writing derivatives as limits

Reflect: Test Friday


Resources: Teacher made worksheet, Kuta


5/23

Final Exam on Limit definition of a derivative



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