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. (BASIC) Visual Concepts CD-ROM This CD-ROM consists of multimedia presentations of core physics concepts. (BASIC) SECTION 1 Introduction to Vectors PACING Regular Schedule: with lab(s): N/A days without lab(s): 1-2 weeks Block Schedule: with lab(s): N/A days without lab(s): State Objectives I. Motion C. Projectiles 1.Independence of horizontal and vertical motion 2.Problem-solving involving horizontally launched projectiles 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. NATIONAL SCIENCE EDUCATION STANDARDS UCP 2: Evidence, models, and explanation UCP 3: Change, consistency, and measurements SAI 1: Abilities to do scientific inquiry SAI 2: Understanding about scientific inquiry 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. (BASIC) TEACH (25 MINUTES) PowerNotes Resources Use the customizable presentation to help students master the concepts in this section. Demonstration, Vector Addition, TE This demonstration helps students understand the result when two vectors act on a single object at the same time. Misconception Alert, p. 84, TE Illustrate the movement of the toy car on the board Visual Strategy, Figure 4, TE Students answer questions about the difference between distance and displacement. (BASIC) CLOSE (10 MINUTES) Section Review, SE Students answer review questions, critical-thinking questions, and interpreting-graphics questions that assess their understanding of the section objectives. Study Guide, Introduction to Vectors, ANC Use this worksheet to review the main concepts presented in the section. Section Quiz, ANC Use this quiz to assess students' understanding of the section. (BASIC) OTHER RESOURCE OPTIONS Holt Online Learning Students can access interactive problem-solving help and active visual concept development with the Holt Physics Online Edition available at my.hrw.com. 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 PACING Regular Schedule: with lab(s): N/A days without lab(s): 1 days Block Schedule: with lab(s): N/A days without lab(s): 0.5 days State Objectives I. Motion C. Projectiles 1.Independence of horizontal and vertical motion 2.PROBLEM-SOLVING INVOLVING HORIZONTALLY LAUNCHED PROJECTILES 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. NATIONAL SCIENCE EDUCATION STANDARDS UCP 2: Evidence, models, and explanation UCP 3: Change, consistency, and measurements FOCUS (5 MINUTES) Overview Review the objectives listed in the Student Edition. MOTIVATE (5 MINUTES) Visual Strategy, Figure 6, TE Students observe the lack of difference between results using different axes. TEACH (25 MINUTES) PowerNotes Resources Use the customizable presentation to help students master the concepts in this section. Sample Set A, Finding Resultant Magnitude, SE This sample and practice problem set covers resultant magnitude. Classroom Practice, Finding Resultant Magnitude, SE Use this problem as a teamwork exercise or for demonstration at the board or on an overhead projector.
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, SE This sample and practice problem set covers vectors. Classroom Practice, Resolving Vectors, SE Use this problem as a teamwork exercise or for demonstration at the board or on an overhead projector. Teaching Tip, p. 92, TE Help students distinguish between the different vector components in the figure by having them draw each vector and its components separately. (BASIC) Sample Set C, Adding Vectors Algebraically, SE This sample and practice problem set covers vectors. Classroom Practice, Adding Vectors Algebraically, SE Use this problem as a teamwork exercise or for demonstration at the board or on an overhead projector. CLOSE (10 MINUTES) Section Review, SE Students answer review questions, critical-thinking questions, and interpreting-graphics questions that assess their understanding of the section objectives. Study Guide, Vector Coordinates, ANC Use this worksheet to review the main concepts presented in the section. Section Quiz, ANC Use this quiz to assess students' understanding of the section. (BASIC) OTHER RESOURCE OPTIONS Holt Online Learning Students can access interactive problem-solving help and active visual concept development with the Holt Physics Online Edition available at my.hrw.com. Problem Workbook, Sample Set A: Finding Resultant Magnitude, ANC This worksheet provides an additional example problem and several practice problems that cover resultant magnitude. Problem Bank, Sample Set A: Finding Resultant Magnitude, OSP This worksheet provides a third example problem and several practice problems that cover resultant magnitude. Problem Workbook, Sample Set B: Resolving Vectors, ANC This worksheet provides an additional example problem and several practice problems that cover vectors. Problem Bank, Sample Set B: Resolving Vectors, OSP This worksheet provides a third example problem and several practice problems that cover vectors. Problem Workbook, Sample Set C: Adding Vectors Algebraically, ANC This worksheet provides an additional example problem and several practice problems that cover vectors.
Problem Bank, Sample Set C: Adding Vectors Algebraically, OSP This worksheet provides a third example problem and several practice problems that cover vectors.
SECTION 3 Projectile Motion PACING Regular Schedule: with lab(s): 3 days without lab(s): 2 days Block Schedule: with lab(s): 1.5 days without lab(s): 1 days State Objectives I. Motion C. Projectiles 1.Independence of horizontal and vertical motion 2.Problem-solving involving horizontally launched projectiles 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. NATIONAL SCIENCE EDUCATION STANDARDS UCP 2: Evidence, models, and explanation UCP 3: Change, consistency, and measurements SAI 1: Abilities to do scientific inquiry SAI 2: Understanding about scientific inquiry 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. (ADVANCED) TEACH (115 MINUTES) PowerNotes Resources Use the customizable presentation to help students master the concepts in this section. Demonstration, Air Resistance, TE This demonstration helps students see the effects of air resistance on the flight of a projectile. Quick Lab, Two-Dimensional Motion, SE Students use balls and a ramp to see if varying the horizontal speed affects how quickly a ball falls to the floor.
Datasheet, Projectile Motion Students use the datasheet to complete the in-text QuickLab Demonstration, Two-Dimensional Motion, TE This demonstration helps students see that projectiles have a vertical acceleration equal to free-fall acceleration. Sample Set D, Projectiles Launched Horizontally, SE This sample and practice problem set covers projectiles launched horizontally. Classroom Practice, Projectiles Launched Horizontally, TE Use this problem as a teamwork exercise or for demonstration at the board or on an overhead projector. 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, SE This sample and practice problem set covers projectiles launched at an angle. Classroom Practice, Projectiles Launched at an Angle, TE Use this problem as a teamwork exercise or for demonstration at the board or on an overhead projector. 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 intext lab. CLOSE (10 MINUTES) Section Review, SE Students answer review questions, critical-thinking questions, and interpreting-graphics questions that assess their understanding of the section objectives. Study Guide, Projectile Motion, ANC Use this worksheet to review the main concepts presented in the section. Section Quiz, ANC Use this quiz to assess students' understanding of the section. (BASIC) OTHER RESOURCE OPTIONS Holt Online Learning Students can access interactive problem-solving help and active visual concept development with the Holt Physics Online Edition available at my.hrw.com. Problem Workbook, Sample Set D: Projectiles Launched Horizontally, ANC This worksheet provides an additional example problem and several practice problems that cover projectiles launched horizontally. Problem Bank, Sample Set D: Projectiles Launched Horizontally, OSP This worksheet provides a third example problem and several practice problems that cover projectiles launched horizontally. Problem Workbook, Sample Set E: Projectiles Launched at an Angle, ANC This
worksheet provides an additional example problem and several practice problems that cover projectiles launched at an angle. Problem Bank, Sample Set E: Projectiles Launched at an Angle, OSP This worksheet provides a third example problem and several practice problems that cover projectiles launched at an angle. Datasheet, Velocity of a Projectile, ANC Students use the datasheet to complete a Skills Practice version of the in-text lab. Invention Lab, The Path of a Human Cannonball, ANC 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) 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) 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 PACING Regular Schedule: with lab(s): N/A days without lab(s): 1 days Block Schedule: with lab(s): N/A days without lab(s): 0.5 days State Objectives I. Motion C. Projectiles 1.Independence of horizontal and vertical motion 2.Problem-solving involving horizontally launched projectiles OBJECTIVES 1. Describe situations in terms of frame of reference. 2. Solve problems involving relative velocity. NATIONAL SCIENCE EDUCATION STANDARDS UCP 2: Evidence, models, and explanation UCP 3: Change, consistency, and measurements 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. (ADVANCED) TEACH (25 MINUTES) PowerNotes Resources Use the customizable presentation to help students master the concepts in this section. Transparency 8, Frames of Reference This transparency illustrates a stunt dummy dropped from an airplane as viewed from two different frames of reference. Appendix J: Advanced Topics, Special Relativity and Velocities, SE This feature allows students to explore higher-level concepts related to the chapter. (ADVANCED) Conceptual Challenge, p. 103, SE These conceptual questions challenge students to apply the section content to real-world applications. (ADVANCED) Sample Set F, Relative Velocity, SE This sample and practice problem set covers relative velocity.
Classroom Practice, Relative Velocity, TE Use this problem as a teamwork exercise or for demonstration at the board or on an overhead projector. CLOSE (10 MINUTES) Section Review, SE Students answer review questions, critical-thinking questions, and interpreting-graphics questions that assess their understanding of the section objectives. Study Guide, Relative Motion, ANC Use this worksheet to review the main concepts presented in the section. Section Quiz, ANC Use this quiz to assess students' understanding of the section. (BASIC) OTHER RESOURCE OPTIONS Holt Online Learning Students can access interactive problem-solving help and active visual concept development with the Holt Physics Online Edition available at my.hrw.com. Problem Workbook, Sample Set F: Relative Velocity, ANC This worksheet provides an additional example problem and several practice problems that cover relative velocity. Problem Bank, Sample Set F: Relative Velocity, OSP This worksheet provides a third example problem and several practice problems that cover relative velocity.
END OF CHAPTER REVIEW AND ASSESSMENT PACING Regular Schedule: with lab(s): N/A days without lab(s): 2 days Block Schedule: with lab(s): N/A days without lab(s): 1 days Chapter Review, pp. 108 113, SE Students review the chapter material with review questions, conceptual questions, practice problems, and a mixed review section. Alternative Assessment, p. 113, SE These projects challenge students to apply and extend concepts that they have learned in the chapter. (ADVANCED) 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, SE This feature helps students sharpen their testtaking abilities while reviewing the chapter content. Appendix D: Equations, pp. 854 855, SE This appendix summarizes the equations introduced in the chapter. Appendix I: Additional Problems, pp. 881-882, SE This appendix provides additional mixed practice problems that cover the equations introduced in the chapter. Study Guide, Mixed Review, ANC Students can use this worksheet to review the main concepts of the chapter in preparation for the chapter test. Holt PuzzlePro Use this software to create crossword puzzles and word searches that make learning vocabulary fun. Chapter Test A, ANC Assign this test for general-level chapter assessment. Chapter Test B, ANC Assign this test for advanced-level chapter assessment. (ADVANCED) Test Generator Create a customized homework assignment, quiz, or test using the