Daily Challenge 1 Please solve the following Note

Daily Challenge 1. Please solve the following: Note: already set for % 4, 000 fish 8, 000 fish Since P ‘(t) = 0, the rate of change is zero or is thus stable. Jim Napolitano: BSGE HS DP Math

Questions, Questions 1. Essential Question: How can the Calculus solve real world problems? 2. Guiding Question: How is straight line motion communicated analyzed via Calculus? Jim Napolitano: BSGE HS DP Math

Homework Review • “Problem” homework problems: 22 C. 1 p 561 #2 - 7 22 C. 2 p 563 #2 RS 21 C p 554 #6 - 10 Jim Napolitano: BSGE HS DP Math

Mini-Lesson 1. Straight Line Motion: • Displacement: Consider displacement s • Displacement Functions: A function in time for displacement from the origin is thus s(t) for t ≥ 0 Jim Napolitano: BSGE HS DP Math

Mini-Lesson 1. Straight Line Motion (Continued): • Consider an s(t) = t 2 + 2 t – 3 cm Jim Napolitano: BSGE HS DP Math

Mini-Lesson 1. Straight Line Motion (Continued): • Average Velocity • Displacement Functions: A function in time for displacement from the origin is thus s(t) for t ≥ 0 Jim Napolitano: BSGE HS DP Math

Mini-Lesson 2. Straight Line Motion - Example: Jim Napolitano: BSGE HS DP Math

Group Work 1 1. Please solve the following: 7 m/ s (h + 5) m/s 5 m/s = s ’(1) Jim Napolitano: BSGE HS DP Math

Mini-Lesson 3. More Straight Line Motion: • Average Acceleration • Instantaneous Acceleration: Jim Napolitano: BSGE HS DP Math

Mini-Lesson 3. More Straight Line Motion (Continued): • Velocity and Acceleration Relationship • Note: Jim Napolitano: BSGE HS DP Math

Mini-Lesson 4. Interpreting Signs/Sign Diagrams: • Note: Jim Napolitano: BSGE HS DP Math

Mini-Lesson 4. Interpreting Signs/Sign Diagrams (Continued): • Summary: Jim Napolitano: BSGE HS DP Math

5. Speed: Mini-Lesson • Speed is a scalar quantity and its value is s=|v| • Since speed is a scalar conveying no change information, a sign test must be used to determine increase or decrease: Jim Napolitano: BSGE HS DP Math

Mini-Lesson 5. Motion Relationships Revisited: Jim Napolitano: BSGE HS DP Math

Mini-Lesson 6. Motion Relationships Revisited – Example: Jim Napolitano: BSGE HS DP Math

Group Work 2 1. Please solve the following: 0 ≤ t ≤ 2 Jim Napolitano: BSGE HS DP Math

Homework • Textbook: – Please read 22 D p 564 – 569 • Please do exercises: 22 D. 1 p 565 #2 22 D. 2 p 570 #2 - 4 • Journal: – Please answer the Guiding Question. Jim Napolitano: BSGE HS DP Math