unit 6 - Chapter 7 - Area & Volume
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. _____________________________________________
Unit 6 Due Dates AP Central Problems - Unit 8 - Part A - MC AP Central Problems - Unit 8 - Part B - MC Unit Test 6 - Project Presentations due |
Unit 6 - Area & Volume
Day 1 Math is Fun - Arc Length Info Link - Read & Take Notes HW 1 - Worksheets _____________________________________________ Day 3 Part 1 - Area Between Curves Part 2 - Area Between Curves - Practice Problems Desmos - Regression Video _____________________________________________ Day 4 Video # 1 - Arc Length & Surface Area Video # 2 - Part 2 - Arc Length Problems Video # 3 - Surface Area Video - x - axis Example Video # 4 - Surface Area Video y - axis Example _____________________________________________ Day 6 Banana Video Clip Rectangle Video Demo HW - Select Assigned Set A, B, C, or D Cross Section Video - 25 min - Take Notes _____________________________________________ Day 7 Shell Method - Visualization # 1 Visualization # 2 Visualization # 3 _____________________________________________ Day 8 WS Matching - Part 2 - Copy of Worksheet Disk & Washer - HW Notes Song - "I'll Make a Man Out of You" Song - "Wicked" - Review in prep for BC Calc _____________________________________________ Day 10 Khan Academy Practice Quiz - Part 1 & Part 2 Review - Disk & Washer Review - Shell Method Formula Review Multiple Choice - Review Practice Problems _____________________________________________ On-line Video - Sample AP Calculus MC Problem |