AP Calculus AB/BC

What
AP Calculus AB/BC
When
3/21/2025

Daily Agenda
 
Daily 10
 
Standard: Taylor's Theorem
 
Introduction/Connection: Now that you have seen that a series can represent a function what about when it deviates as you move away from the center?
 
Learning Target: I can find the remainder of a Taylor polynomial.
 
Success Criteria: I can identify a pattern in a list of numbers. I can identify r and a in a power series.  I can use the formula for geometric series to find their sum.  I can use limits to determine if a series converges. I can create a power series. I can take derivatives of terms and integrals of terms to create new series.
 
Direct Instruction Notes on Taylor's Theorem of the Remainder
Guided Practice: Teacher helping problem solving during notes/discussion

Independent/Collaborative Practice/Differentiation: scaffolding, pair/hare; application problems in HW
 

Summarize/Check for Understanding: What is the relationship between a Taylor and Maclaurin series? 
 
Assessment: teacher questioning
 
Assignment: HW: Pg 496-7 #25,27,31,37,41,50,52;
orange and blue book Pg 500 #1,3,5,7,9,13,14

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