unit 5 - Chapter 5 - Integration
Learning Objective:
Students will be able to ...
LO 3.1: Recognize anti-derivatives of basic functions.
LO 3.2 A(a): Interpret the definite integral as the limit of a Riemann sum.
LO 3.2 A(b): Express the limit of a Riemann sum in integral notation.
LO 3.2 B: Approximate a definite integral.
LO 3.2 C: Calculate a definite integral using areas and properties of definite integrals.
LO 3.3 A: Analyze functions defined by an integral.
LO 3.3 B(a): Calculate anti-derivatives.
LO 3.3 B(b): Evaluate definite integrals.
LO 3.4 A: Interpret the meaning of a definite integral.
LO 3.4 B: Apply definite integrals to problems involving the average value of a function.
LO 3.4 C: Apply definite integrals to problems involving motion.
LO 3.4 D: Apply definite integrals to problems involving area, volume, and length of a curve.
LO 3.4 E: Use the definite integral to solve problems in various contexts.
LO 3.5 A: Analyze differential equations to obtain general and specific solutions.
LO 3.5 B: Interpret, create, and solve differential equations from problems in context.
Students will be able to ...
LO 3.1: Recognize anti-derivatives of basic functions.
LO 3.2 A(a): Interpret the definite integral as the limit of a Riemann sum.
LO 3.2 A(b): Express the limit of a Riemann sum in integral notation.
LO 3.2 B: Approximate a definite integral.
LO 3.2 C: Calculate a definite integral using areas and properties of definite integrals.
LO 3.3 A: Analyze functions defined by an integral.
LO 3.3 B(a): Calculate anti-derivatives.
LO 3.3 B(b): Evaluate definite integrals.
LO 3.4 A: Interpret the meaning of a definite integral.
LO 3.4 B: Apply definite integrals to problems involving the average value of a function.
LO 3.4 C: Apply definite integrals to problems involving motion.
LO 3.4 D: Apply definite integrals to problems involving area, volume, and length of a curve.
LO 3.4 E: Use the definite integral to solve problems in various contexts.
LO 3.5 A: Analyze differential equations to obtain general and specific solutions.
LO 3.5 B: Interpret, create, and solve differential equations from problems in context.
Unit 5 Due Dates
Midterm Exam - Shutter Flap Foldable = Shoe Box Rough Draft due Graded HW # 7 = Gum & Leaf = Unit Test 5 - Shoe Box Project due Problem Set # 4 = AP Central due |
Unit 5 - Integration Day 1 Homework 1 Pages Linearization Video Clip _____________________________________________ Day 2 Riemann Sum as Integral - Video # 1 Riemann Sum as Integral - Video # 2 HW Link # 1 HW Link # 2 _____________________________________________ Day 3 FTC - Fundamental Theorem of Calculus Video # 1 FTC - Fundamental Theorem of Calculus Video # 2 The Lazy Calculus Song - Chain Rule _____________________________________________ Day 7 Riemann Sum as Integral - Video # 3 Riemann Sum as Integral - Video # 4 Riemann Sum as Integral - Video # 5 _____________________________________________ Day 9 U - Sub - Video # 1 U - Sub - Video # 2 Derive Me Song - u-sub _____________________________________________ Day 11 Calculus Parody Song Integration Practice Problems The Baby Bird Problem _____________________________________________ On-line Video - Sample AP Calculus MC Problem |
Lab 1 - Multiple Intelligence Assessment Assignment
Record your MI results on the Google Doc - Rank your results from 1 to 8