CHAPTER 3 Two-Dimensional Motion and Vectors
Chapter Opener
__ Tapping Prior Knowledge, TE Review previously learned concepts and check for
preconceptions about the chapter content.
__ Discovery Lab, Vector Treasure Hunt, ANC Students practice using and interpreting
standard physics notation to learn about the importance of specifying both magnitude and
direction in regard to vector quantities.
SECTION 1 Introduction to Vectors
OBJECTIVES
1. Distinguish between a scalar and a vector.
2. Add and subtract vectors by using the graphical method.
3. Multiply and divide vectors by scalars.
FOCUS (5 MINUTES)
__ Overview Review the objectives listed in the Student Edition.
MOTIVATE (5 MINUTES)
__ Visual Strategy, Figure 1, TE Students explain why velocity, rather than speed, is
considered when deciding who will reach the ball first.
TEACH (25 MINUTES)
__ PowerPoint
__ Demonstration, Vector Addition, TE
__ Misconception Alert, p. 84, TE
__ Visual Strategy, Figure 4, TE
CLOSE (10 MINUTES)
__ Section Review
__ Study Guide, Introduction to Vectors
__ Section Quiz
OTHER RESOURCE OPTIONS
__ SciLinks, Online Students can visit www.scilinks.org to find internet resources related to
the chapter content. Topic: Vectors SciLinks Code: HF61597
SECTION 2 Vector Operations
OBJECTIVES
1. Identify appropriate coordinate systems for solving problems with vectors.
2. Apply the Pythagorean Theorem and tangent function to calculate the
magnitude and direction of a resultant vector.
3. Resolve vectors into components using the sine and cosine functions.
4. Add vectors that are not perpendicular.
FOCUS (5 MINUTES)
__ Overview Review the objectives listed in the Student Edition.
MOTIVATE (5 MINUTES)
__ Visual Strategy, Figure 6, TE
TEACH (25 MINUTES)
__ PowerPoint
__ Sample Set A, Finding Resultant Magnitude
__ Classroom Practice, Finding Resultant Magnitude
__ Misconception Alert, p. 90, TE Use examples to emphasize that the x component of a
vector is not always calculated using the cosine function.
__ Sample Set B, Resolving Vectors
__ Classroom Practice, Resolving Vectors
__ p. 92, TE Help students distinguish between the different vector components in the figure
by having them draw each vector and its components separately.
__ Sample Set C, Adding Vectors Algebraically
__ Classroom Practice, Adding Vectors Algebraically
CLOSE (10 MINUTES)
__ Section Review
__ Study Guide, Vector Coordinates
__ Section Quiz
OTHER RESOURCE OPTIONS
__ Problem Workbook, Sample Set A: Finding Resultant Magnitude
__ Problem Bank, Sample Set A: Finding Resultant Magnitude
__ Problem Workbook, Sample Set B: Resolving Vectors
__ Problem Bank, Sample Set B: Resolving Vectors
__ Problem Workbook, Sample Set C: Adding Vectors Algebraically
__ Problem Bank, Sample Set C: Adding Vectors Algebraically
SECTION 3 Projectile Motion
OBJECTIVES
1. Recognize examples of projectile motion.
2. Describe the path of a projectile as a parabola.
3. Resolve vectors into their components and apply the kinematic equations to
solve problems involving projectile motion.
FOCUS (5 MINUTES)
__ Overview Review the objectives listed in the Student Edition.
MOTIVATE (5 MINUTES)
__ Visual Strategy, Figure 13, TE Students discuss whether the angle of takeoff matters to
the jumper in the photo.
TEACH (115 MINUTES)
__ PowerPoint
__ Demonstration, Air Resistance, TE
__ Quick Lab, Two-Dimensional Motion, SE
__ Datasheet, Projectile Motion Students use the datasheet to complete the in-text
QuickLab
__ Demonstration, Two-Dimensional Motion, TE
__ Sample Set D, Projectiles Launched Horizontally, SE
__ Classroom Practice, Projectiles Launched Horizontally, TE
__ Visual Strategy, Figure 17, TE Emphasize to students that a projectile follows a
parabolic path from the time it is fired.
__ Sample Set E, Projectiles Launched at an Angle
__ Classroom Practice, Projectiles Launched at an Angle
__ Inquiry Lab, Velocity of a Projectile, SE Students measure the velocity of projectiles in
terms of their horizontal displacement during free fall. (
__ Datasheet, Velocity of a Projectile, ANC Students use the datasheet to complete the in
text lab
CLOSE (10 MINUTES)
__ Section Review
__ Study Guide, Projectile Motion
__ Section Quiz
OTHER RESOURCE OPTIONS
__ Problem Workbook, Sample Set D: Projectiles Launched Horizontally
__ Problem Bank, Sample Set D: Projectiles Launched Horizontally
__ Problem Workbook, Sample Set E: Projectiles Launched at an Angle
__ Problem Bank, Sample Set E: Projectiles Launched at an Angle
__ Datasheet, Velocity of a Projectile
__ Invention Lab, The Path of a Human Cannonball Students use a model and projectile
motion calculations to recommend the placement of both a flaming hoop and a net for use
in a human cannonball act. (ADVANCED STUDENTS)
__ CBLTM Experiment, Projectile Motion, ANC In this scenario-based CBL lab, students
use CBLs and sensors to develop a model to find the velocity for a stunt car in a movie
scene to have the desired horizontal displacement when it is driven off a cliff.
(ADVANCED STUDENTS)
__ SciLinks, Online Students can visit www.scilinks.org to find internet resources related to
the chapter content. Topic: Projectile Motion SciLinks Code: HF61223
SECTION 4 Relative Motion
OBJECTIVES
1. Describe situations in terms of frame of reference.
2. Solve problems involving relative velocity.
FOCUS (5 MINUTES)
__ Overview Review the objectives listed in the Student Edition.
MOTIVATE (5 MINUTES)
__ Visual Strategy, Figure 19, TE Students explain how the two diagrams would change if
air resistance were included.
TEACH (25 MINUTES)
__ PowerPoint
__ Appendix J: Advanced Topics, Special Relativity and Velocities, SE This feature
allows students to explore higher-level concepts related to the chapter. (ADVANCED
STUDENTS)
__ Conceptual Challenge, p. 103, SE These conceptual questions challenge students to
apply the section content to real-world applications. (ADVANCED STUDENTS)
__ Sample Set F, Relative Velocity
__ Classroom Practice, Relative Velocity
CLOSE (10 MINUTES)
__ Section Review
__ Study Guide, Relative Motion
__ Section Quiz
OTHER RESOURCE OPTIONS
__ Problem Workbook, Sample Set F: Relative Velocity
__ Problem Bank, Sample Set F: Relative Velocity
END OF CHAPTER REVIEW AND ASSESSMENT
(45 minutes)
__ pp. 108–113, SE Students review the chapter material with review questions, conceptual
questions, practice problems, and a mixed review section.
__ p. 113, SE These projects challenge students to apply and extend concepts that they have
learned in the chapter. (ADVANCED STUDENTS)
__ Graphing Calculator Practice, p. 113, SE Students use their graphing calculators to
create a graph of height versus time so that they can predict how high a vertically thrown
baseball will go and how long it will remain in flight.
__ Standardized Test Prep, pp. 114–115
__ Appendix D: Equations, pp. 854–855
__ Appendix I: Additional Problems, pp. 881-882
__ Study Guide, Mixed Review
__ Chapter Test A