**Physics First:** Kinematics: The Physics of Motion Units

This topic contains a selection of units designed to assist you in teaching motion. Units include frames of reference, graphing skills, motion in one dimension, motion in more than one dimension, vectors, and more. Units are not listed in a prescribed order.

### Frames of Reference (4)

#### Activities:

This animation illustrates the concept of relative motion by depicting a moving boat traveling with the river current. An observer walks onshore. You can view the motion from the reference frame of the boat, the river, or the ground and watch how the motion appears differently. Don't miss the accompanying worksheet.

**Item Type:**Interactive Simulation

**Level:**Grades 8-12

**Duration:**30 minutes

This animation takes the fear out of reference frames, and it's fun. All motion is relative to a frame of reference. This resource shows how the motion of a bouncing basketball looks different depending on whether the observer is standing still, walking in the same direction as the player, or walking in the opposite direction. It offers students nine scenarios (*frames of reference*), and they must answer questions from the observer's viewpoint.

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**30 minutes

#### References and Collections:

An "Illumination" is a short chunk of explanatory/exploratory material that addresses a specific topic, usually from a conceptual point of view. These Illuminations contain simulations and were designed primarily for student self-study and practice.

**Item Type:**Multimedia Tutorials

**Level:**High School

#### Student Tutorials:

When you study motion in one dimension (motion along a straight line) a good place to begin is with motion diagrams. These tutorials contain a number of interactive motion diagrams for the student.

**Item Type:**Interactive Tutorial

**Level:**Grades 9-12

**Duration:**30-40 minutes

### Graphing (18)

#### Lesson Plans:

An excellent lesson plan developed specifically to accompany the PhET simulation "The Moving Man". Students with little prior knowledge of graph interpretation will gain understanding of velocity vs. time graphs and how they differ from position vs. time. Adaptable for both middle school and high school.

**Item Type:**Lesson Plan

**Level:**Grades 8-12

**Duration:**One class period

This is a PhET Gold Star winning lesson that helps students build skills in interpreting graphs of motion. It accompanies the PhET simulation "The Moving Man" (see link below) and includes classroom-ready Power Point concept questions, student guide, and assessments.

**Item Type:**Teaching Module

**Level:**Grades 8-12

**Duration:**2 Class Periods

High school students can often record data and "plug & chug", but have more difficulty in fitting or interpreting data. This exemplary two-week unit on data analysis introduces students to the statistical method known as least squares regression. Using an online tool to plot data, students then calculate regression lines and fit the data to estimated parameters.

**Item Type:**Instructional Unit

**Level:**Grades 9-12

**Duration:**Two Weeks

Students will apply knowledge of motion by making their own animated sequences that model real-life physical situations. Sound a little zany? Topics include motion in an inertial reference frame, gravity on a falling body, and orbital motion of planets. Fun and creative!

**Item Type:**Project-Based Learning

**Level:**Grades 6-12

**Duration:**3-4 Class Periods

#### Activities:

With one mouse click, students may create their own customized graphs from among five types: bar, line, area, pie, and X/Y. Various patterns, colors, grids, and label choices allow for customization, with a full tutorial to help in set-up. This resource is cost-free.

**Item Type:**Graph-Making Tool

**Level:**Grades 4-12

This website contains a collection of short videos depicting physical processes commonly discussed in beginning courses. Positions of objects in the video frame can be viewed in step motion or real-time, and then mapped onto video analysis software, allowing for more accurate measurement and graphing.

**Item Type:**Video Collection

**Level:**Grades 9-12

This set of eleven interactive challenges will help students master motion graphing. Each challenge requires the student to match the motion of an animated car to the correct position/time or velocity/time graph. The activity provides enough repetition to help learners construct a meaningful understanding of why the graphs appear as they do.

**Item Type:**Interactive Problem Set

**Level:**Grades 9-12

**Duration:**30-40 minutes

Blend a motion sensor lab with student-generated graph modeling. Students use the online graph sketching tool to predict the motion of a person walking back & forth over a 40-meter line. Next, they do a motion sensor lab to collect actual data. Last, they analyze differences between their predictions and the real-world data. *Pair this lab with the one directly below, "Motion on a Ramp" for a great 3-day experience.*

**Item Type:**Blended Learning Lab

**Level:**Grades 5-9

**Duration:**1-2 Class Periods

This activity blends a motion sensor lab with digital graph modeling. Students use the online graph-sketching tool to predict graphs of distance vs. time and velocity vs. time. Next, they use a motion sensor to collect data on a real toy being pushed up a ramp. Last, they analyze differences between their predictions and the actual data. *Highly recommended by the editors. For beginners, try first introducing the activity directly above.*

**Item Type:**Blended Lab and Modeling

**Level:**Grades 6-9

**Duration:**1-2 Class Periods

Maneuver a simulated man and watch simultaneous graphs of his position, velocity, and acceleration. For beginning learners, the acceleration graph may be closed. Try teaming this simulation with the great companion lessons by PhET teacher-fellows, found under "Lesson Plans" above. *Highly versatile resource; adaptable to a broad spectrum of abilities/levels.*

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**One Class Period

This interactive graphing activity explores the effects of gravity on light and heavy objects. It gives learners a means to make predictions, quickly compare their predictions with real data, and analyze why the predictions were right or wrong. It's one of the few resources we've seen in which universal gravitation, constant acceleration, slope of the line, and graphing of free-fall motion can all be meaningfully explored in one class period. Includes lesson plan & assessment w/answer key.

**Item Type:**Digital Model

**Level:**Grades 6-12

**Duration:**One Class Period

#### References and Collections:

This set of lessons investigates the language of kinematics (the physics of motion). It is designed to help students understand that the scientific meaning of words like "velocity" and "acceleration" is different from their use in everyday language.

**Item Type:**Interactive Tutorial

**Level:**Grades 8-12

**Duration:**20 minutes

#### Student Tutorials:

Excellent self-guided tutorial promotes understanding of "position" as a physics concept. Contains multiple graphs, animations, and interactive opportunities for students to test their comprehension.

**Item Type:**Interactive Tutorial

**Level:**Grades 8-12

**Duration:**One Class Period

Unique approach based on a prediction model of learning. Students predict the appearance of distance and velocity graphs for different types of walking motion, then verify their predictions with a motion sensor. If all members of the group predict correctly, they move to the next problem. If not, the group's task is to analyze the error to see what went wrong, then write statements to modify incorrect ideas.

**Item Type:**Motion Lab/Modeling

**Level:**9-12

**Duration:**Two Class Periods

#### Assessment:

This printable two-page worksheet/assessment gauges student understanding of position vs. time graphs. It was developed by the Modeling Instruction project team.

**Item Type:**Problem Set

**Level:**High School

**Duration:**45 minutes

A great follow-up for the position vs. time worksheet above, this assessment asks students to create and interpret v-t graphs when given the motion of an object in a p-t framework.

**Item Type:**Problem Set

**Level:**High School

**Duration:**45 minutes

An assessment designed by the award-winning Modeling Instruction team. It assesses a student's ability to create and also interpret motion maps, p-t graphs, and v-t graphs. Could be used either as a class review or as a unit test. Downloadable in pdf format.

**Item Type:**Assessment

**Level:**Grades 8-12

**Duration:**One Class Period

An assessment in the form of a question that asks students to identify which objects are accelerating, when shown a set of four strobe diagrams. A2L materials are designed to reveal what students do NOT know and build a basis for formative assessment.

**Item Type:**Formative Assessment

**Level:**Grades 7-12

**Duration:**10 minutes

### Vectors (12)

#### Lesson Plans:

A unique and highly engaging two-week unit on vectors. Beginning physics students build understanding of vector properties by doing real pilot navigation training. This problem-based learning module comes with complete guides for teacher and learner. The final assessment is a virtual pilot test flight. *Cost-free with teacher registration*

**Item Type:**Instructional Unit

**Level:**High School

**Duration:**Two Weeks

This is an exemplary set of Power Point materials for teachers to introduce vector basics, including vector addition/subtraction and how to calculate vector components. See Assessments below for a companion unit test. All may be freely downloaded. To read about the underlying pedagogy employed by the authors, go to Reference Material below and click on *Bridging the Vector Calculus Gap*.

**Item Type:**Power Point Presentation

**Level:**High School Physics

**Duration:**1-2 Class Periods

#### Activities:

Students explore several kinematics situations involving different starting positions and speed. Velocity and acceleration vectors are displayed in real-time graphs as the action is animated. *Requires Java plug-in.*

**Item Type:**Interactive Simulation

**Level:**High School

**Duration:**30 minutes

It can be difficult for beginning students to understand what a vector represents. This fun simulation allows them to watch vectors change as they drive a virtual car. Speed vs. Time is also displayed in a real-time companion graph.

**Item Type:**Scaffolded Simulation

**Level:**Grades 7-10

**Duration:**30 minutes

Want to give your students a chance to explore vector addition without tackling the math? This simple Java simulation lets them draw two vectors by clicking and dragging the cursor. The components, magnitude, and direction will be displayed; then click "Add" to see the vector sum.

**Item Type:**Interactive Simulation

**Level:**High School

**Duration:**30-45 minutes

This very simple simulation can help beginners understand what vector arrows represent. It was designed by the PhET team to target specific areas of difficulty in student understanding of vectors. Learners can move a ball with the mouse or let the simulation control the ball in four modes of motion (two types of linear, simple harmonic, and circular). Two vectors are displayed -- one green and one blue. Which color represents velocity and which acceleration?

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**20-30 minutes

#### Content Support For Teachers:

The primary goal of the Kinematics Graphing Project is to investigate the ability of students to interpret kinematics graphs and to generate a set of suggestions for faculty teaching the subject.

**Item Type:**Research

**Level:**Teacher Support

This award-winning web tutorial is a great choice for the crossover teacher who wants a refresher on vectors and their properties. Included is an introduction to free-body diagrams, example problems, a series of self-paced questions, and related interactive simulations.

**Item Type:**Interactive Tutorial

**Level:**Teacher Support

#### Student Tutorials:

This Java applet walks students step-by-step through the process of tip-to-tail vector addition. The accompanying text is easy for high school students to follow.

**Item Type:**Simulation-based Tutorial

**Level:**High School

**Duration:**30 minutes

This simple, yet effective Java-based tutorial uses geometric overlays to demonstrate why the Pythagorean Theorem works. Background text helps students understand its importance in vector algebra.

**Item Type:**Simulation-based Tutorial

**Level:**Grades 8-12

**Duration:**30 minutes

This page is an interactive environment where subjects are organized in flow charts, allowing easy movement from one topic to a related item. Vector resolution, addition, and product are covered in-depth.

**Item Type:**Online Tutorial

**Level:**Grades 9-12

**Duration:**30 minutes

#### Assessment:

This comprehensive worksheet on vectors may be used as a test/quiz for beginning physics students. It was designed to accompany the lecture and lesson materials by the same authors (see above under Lesson Plans). May be freely downloaded and printed for classroom use.

**Item Type:**Assessment/Test

**Level:**High School Physics

**Duration:**One Class Period

### Motion in One Dimension (7)

#### Activities:

This Java animation shows the motion of an object moving with constant acceleration. Ghost images can be displayed, with controls available to pause, step, and rewind. Try teaming this applet with the one below on constant velocity. The students' task: calculate the acceleration of the ball.

**Item Type:**Interactive Animation

**Level:**Grades 9-12

**Duration:**30 minutes

This simple animation depicting constant linear velocity would be great teamed with the applet directly above. The two applets can help beginning students learn how to read motion diagrams and differentiate velocity from acceleration.

**Item Type:**Interactive Animation

**Level:**Grades 9-12

**Duration:**30 minutes

A simulation to explore the motion of a model car with constant acceleration. The student sets values for initial position, velocity and acceleration -- the simulation creates the real-time graphs. A pair of timers can be placed anywhere along the path of the car to measure the motion at intervals. *Can be adapted for grades 6-7 by using only the velocity and position fields.*

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**30 minutes

This interactive graphing activity explores the effects of gravity on light and heavy objects. It gives learners a means to make predictions, quickly compare their predictions with real data, and analyze why the predictions were right or wrong. It's one of the few resources we've seen in which universal gravitation, constant acceleration, slope of the line, and graphing of free-fall motion can all be meaningfully explored in one class period. Includes lesson plan & assessment w/answer key.

**Item Type:**Digital Model

**Level:**Grades 6-12

**Duration:**One Class Period

How does air resistance affect the motion of a free-falling object? In this model, a blue ball falls under the influence of gravity alone. The red ball is subject to both gravity and air resistance. Adjust the amount of air resistance with a slider, then watch the changes in the motion graphs.

**Item Type:**Interactive Simulation

**Level:**Grades 9-12

**Duration:**30 minutes

#### References and Collections:

This tutorial focuses on the language, principles, and laws which describe and explain the motion of objects. It is part of *The Physics Classroom* website, and provides links to related labs, problem sets, help for struggling learners, and curriculum support.

**Item Type:**Interactive Tutorial

**Level:**High School

A must-read for teachers of K-8 science and 9th grade physical science. A physics education researcher studied groups of students in grades 4, 6, and 8. The research took a deep look at how students at these grade levels distinguish between speed and changing speed. The findings will help teachers in constructing effective lessons. *Editor's Note: Why is this Important? Research reveals that children in elementary school form and maintain conceptions about the physical world that remain deeply entrenched into adulthood. Inaccurate conceptions can be very difficult to reverse.*

**Item Type:**Research Article

**Level:**Teacher Support

### Motion in More Than One Dimension (6)

#### Lesson Plans:

An excellent two-day lesson to accompany the PhET simulation *Projectile Motion* (see Activities below). It was crafted by educators to provide robust support to both teachers and learners on projectile motion with and without air resistance. You will find scripted teacher discussion, explanations of fluid properties of air, and modifiable worksheets. *Created for middle school, but can be easily adapted to Physics First or Physics Prep courses.*

**Item Type:**Lesson Plan

**Level:**Grades 6-9

**Duration:**Two Class Periods

#### Activities:

Students can have fun exploring projectile motion as they interactively fire objects of varying mass from a cannon. Users may set initial velocity, angle, and air resistance. This resource would be teamed well with the Physics Classroom student tutorial on projectile motion (below).

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**One Class Period

This simulation would be a good follow-up to the PhET projectile motion applet (above). This item takes the learner to the next level by calculating maximum height, horizontal distance, magnitude of velocity, and total energy of a projected object. Students will set initial height, speed, angle, and mass before firing their projectile. *Appropriate for high school or gifted/talented middle school students.*

**Item Type:**Interactive Simulation

**Level:**Grades 8-12

**Duration:**45 minutes

This simulation features an airplane flying at constant horizontal velocity, preparing to drop relief supplies to a small island. As captain of the plain, you must calculate the release point for dropping the package and press the red release button at the right moment. The trajectory of the falling package is traced onscreen. If your calculations were off, it will dump in the ocean. *Question for students to ponder: what does inertia have to do with it?*

**Item Type:**Interactive Simulation

**Level:**Grades 9-12

**Duration:**20-30 minutes

#### Student Tutorials:

This seven-part resource is an excellent introduction to the characteristics of projectile motion. Through in-depth explanations and animations, it explores vertical acceleration and explains why there are no horizontal forces acting upon projectiles, a common student misconception. The last two sections are devoted to problem solving. Try teaming it with the PhET Projectile Motion activity above.

**Item Type:**Interactive Tutorial

**Level:**Grades 8-12

**Duration:**45 minutes

A unique and highly-engaging tutorial developed by the authors of Australia's *PhysClips*. Short film clips, photos, and diagrams are integrated with simple text to spark interest. The first two videos feature the classic "Hammer and Feather Drop", both on the moon and on Earth.....a great springboard to discuss air resistance.

**Item Type:**Multimedia Tutorial

**Level:**High School

**Duration:**1-2 Class Periods

### Circular Motion (6)

#### Activities:

For the teacher planning a unit on amusement park physics, this tutorial can double as a student classroom activity. It offers an overview of the forces acting upon a roller coaster as it travels on a straight, curved, or looped track. Free body diagrams and animations depicting kinetic/potential energy also enhance student understanding of a complex set of interactions. (Includes a self-test.)

**Item Type:**Interactive Tutorial

**Level:**Grades 8-12

**Duration:**One Class Period

Can an amusement park Merry-Go-Round be designed to be dangerous? This simple model lets kids discover for themselves how rotational speed and radial distance interact to create a more thrilling ride. Don't miss the page link to "Physiological impact of G-forces". Setting the speed & radial distance at the highest points will result in g-forces that exceed space shuttle re-entry and high speed fighter jets!

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**20-30 minutes

This very simple simulation explores both conservation of energy and circular motion. A roller coaster travels over a large and small hill, then goes through a loop. Students can have fun controlling speed, height of the hills, and size of the loop, then viewing the effect on the moving car. *No mathematics is introduced.*

**Item Type:**Interactive Simulation

**Level:**Grades 6-12

**Duration:**20-30 minutes

#### Content Support For Teachers:

One of the most deeply entrenched misconceptions among beginning physics students is that centrifugal motion (away from the center) is a "force" in itself. In this tutorial, part of *Physics Classroom*, the author explains why the direction of force is viewed from an inertial frame of reference in a classical mechanics course and thus why centrifugal motion is not a force in a Newtonian framework.

**Item Type:**Interactive Tutorial

**Level:**Grades 8-12

#### Student Tutorials:

This resource guides the beginning student through characteristics of circular motion. It is broken into five sections addressing: the mechanics of circular motion, centripetal force, algebraic and trigonometric problems and solutions, and a full chapter that debunks the centrifugal "force" misconception. Interactive problems feature liberal use of diagrams and force vectors to enhance understanding.

**Item Type:**Interactive Tutorial

**Level:**High School

**Duration:**60-90 minutes

This student tutorial illustrates how circular motion principles can be combined with Newton's Second Law to analyze physical situations. Two algebraic problems and detailed solutions are provided, plus a five-step model for solving circular motion problems.

**Item Type:**Interactive Tutorial

**Level:**Grades 9-12

**Duration:**45 minutes

### Planetary Motion (4)

#### Lesson Plans:

This 40-minute lesson, created by a veteran high school teacher, gives kids explicit guidance in using the PhET simulation *My Solar System* to explore orbital motion and gravitational attraction. Great concept building activity.

**Item Type:**Simulation-Based Lesson

**Level:**Grades 8-10

**Duration:**One Class Period

#### Activities:

HyperPhysics is an exploration environment for concepts in physics which employs concept maps and other linking strategies to facilitate smooth navigation. In exploring any aspect of physics, basic concept understanding is a must. Connections between concepts a plus.

**Item Type:**Reference Material

**Level:**High School

Explore Kepler's Laws in this simulation that allows students to control the size and path of the orbiting object. Don't miss the "About" link to supporting resources: student manuals, assessment materials, and more.

**Item Type:**Interactive Simulation

**Level:**High School

**Duration:**30-45 minutes

With this orbit simulator, you can set initial positions, velocities, and masses of 2, 3, or 4 bodies, and then watch them orbit each other. The simulation is especially effective at helping students understand how distance and mass are related to orbit. Scroll down on the page for related lesson plans developed by middle school and high school teachers.

**Item Type:**Interactive Simulation

**Level:**Grades 7-12

**Duration:**One class period

### Special Collections (7)

#### Lesson Plans:

This page contains procedures for setting up 20 demonstrations relating to motion. All demos have been fully tested in the classroom and were selected for inclusion because they are engaging, require minimal set-up, and are highly illustrative of key concepts taught in introductory classical mechanics. Historical anecdotes and commentary add to the depth of this unique resource.

**Item Type:**Demonstration

**Level:**Grades 6-12

**Duration:**10-20 minutes each

This 8-day instructional unit for middle school integrates engineering practice into a study of the energy of motion. Through investigations of waterwheels, roller coasters, bouncing balls, and a pendulum, students get a solid introduction to energy transformation in a mechanical system. The unit also introduces static and kinetic friction, drag, elastic/inelastic collision, and students learn to calculate frictional force. *Don't have time to do the full unit? Lessons can be pulled out individually.*

**Item Type:**Instructional Unit

**Level:**Grades 6-8

**Duration:**8-10 Class Periods

#### Activities:

This free collection will impress teachers in the way it promotes depth of understanding about graphs. Learners use interactive digital tools to predict how a motion graph will look, then they watch as the computer simulates process in real time. Next, they place inputs on the graphs and use language to explain what is happening. Finally, they compare their own predictions with the simulated process to analyze why the graphs appear as they do. As with all Concord Consortium materials, the resources are subjected to rigorous classroom testing to ensure their effectiveness.

**Item Type:**Interactive Tutorials

**Level:**Grades 6-12

An exceptional resource collection on how to integrate "direct measurement videos". These high-speed short videos feature tools for easy analysis of various physical situations: rulers, grids, frame-counters, and screen overlays for making precise measurements. Includes 9 teaching modules with lesson plans, assessments and answer keys, and pedagogical background. *Does not require purchase or installation of video analysis software.*

**Item Type:**Video Analysis Lessons

**Level:**Grades 9-12

#### References and Collections:

This website contains a collection of short videos (20-40 frames each) depicting physical processes commonly discussed in beginning courses. Positions of objects in the video frame can be viewed in step motion or real-time, and then mapped onto video analysis software, allowing for more accurate measurement and graphing.

**Item Type:**Video Collection

**Level:**Grades 9-12

This collection of short videos explores the basic physics of football in a way that's sure to spark interest among kids. Each video features an NFL player, file footage of games, slow-motion video captured with a super high-speed Phantom Cam. Physicists appear in each video to explain the concepts and clarify the connection to physics. Topics: Newton's Laws, momentum, inertia, vectors, center of mass, projectile motion, and more.

**Item Type:**Video Collection

**Level:**Grades 7-12

#### Student Tutorials:

This is an interactive website designed and maintained by a high school physics teacher. It offers tutorials, simulations, and problems relating to kinematics, waves, trigonometry, algebra, and geometry. The entertaining format is designed for students and also contains an EZ Graph calculator to help them easily see the graphic effect of changing coefficients.

**Item Type:**Physics Collection

**Level:**High School

### Velocity and Acceleration (7)

#### Activities:

This versatile simulation lets students explore the effects of braking on an object moving with constant velocity. Set the initial velocity, start the applet, and hit the brakes. Graphs of velocity vs. time and position vs. time are simultaneously displayed. You can also set the rate of braking acceleration. This resource will help students build concepts relating to frictional force.

**Item Type:**Interactive Simulation

**Level:**Grades 8-12

**Duration:**30 minutes

This robust activity from Concord Consortium lets kids deeply explore the meaning behind the slopes of velocity/time and position/time graphs. It blends interactive graph sketching, data analysis, and digital Q&A as learners explore the motion of an animated car. It will help students understand why motion graphs appear as they do, rather than mimic the pathway of an object's motion.

**Item Type:**Digital Model

**Level:**Grades 6-10

**Duration:**One Class Period

This middle school activity blends a motion sensor lab with a digital "SmartGraph" tool to help learners understand how forward, fast, and slow motions look on a graph of Position vs. Time. The activity requires a Vernier Go! motion device, which provides inputs to the SmartGraph interface via a USB connection.

**Item Type:**Digital Model/Motion Lab

**Level:**Grades 5-9

**Duration:**One Class Period

This activity blends a motion sensor lab with digital *SmartGraph* software to help learners see how the slope of a P/T graph can be used to find velocity. Scaffolding is provided at intervals to help with calculations. Requires a Vernier Go! motion sensing device.

**Item Type:**Motion Lab/Modeling

**Level:**Grades 6-10

**Duration:**One Class Period

This interactive graphing activity explores the effects of gravity on light and heavy objects. It gives learners a means to make predictions, quickly compare their predictions with real data, and analyze why the predictions were right or wrong. It's one of the few resources we've seen in which universal gravitation, constant acceleration, slope of the line, and graphing of free-fall motion can all be meaningfully explored in one class period. Includes lesson plan & assessment w/answer key.

**Item Type:**Digital Model

**Level:**Grades 6-12

**Duration:**One Class Period

#### References and Collections:

A must-read for teachers of K-8 science and 9th grade physical science. A physics education researcher studied groups of students in grades 4, 6, and 8. The research took a deep look at how students at these grade levels distinguish between speed and changing speed. The findings will help teachers in constructing effective lessons. **Editor's Note:** Why is this important? Research reveals that children in elementary school form and maintain conceptions about the physical world that remain deeply entrenched into adulthood. Inaccurate conceptions can be very difficult to reverse.

**Item Type:**Research Article

**Level:**Teacher Support

In this study, students in an inquiry-based classroom were videotaped to detect how they made sense of concepts relating to force and motion. The analysis revealed that focused "sense-making activities", free-body diagrams, energy diagrams, and related real-world activities produced deeper student understanding. *Free download*

**Item Type:**Research Article

**Level:**Teacher Support

### Assessments (5)

#### Assessment:

An assessment designed by the award-winning Modeling Instruction team. It assesses a student's ability to create and also interpret motion maps. p-t graphs, and v-t graphs. Could be used either as a class review or as a unit test. Downloadable in pdf.

**Item Type:**Assessment/Test

**Level:**High School

**Duration:**One Class Period

This printable two-page worksheet gauges student understanding of position vs. time graphs. It was developed by the Modeling Instruction project team.

**Item Type:**Problem Set/Homework

**Level:**High School

**Duration:**30-45 minutes

A great follow-up for the "Position vs. Time Worksheet" above, this assessment asks students to create and interpret v-t graphs when given the motion of an object in a p-t framework.

**Item Type:**Problem Set/Homework

**Level:**High School

**Duration:**30-45 minutes

This comprehensive worksheet may be used as a test-quiz for introductory physics or as a diagnostic assessment for more advanced courses. It was designed to accompany the lecture and lesson materials by the same authors (see above under Vectors: Lesson Plans). May be freely downloaded and printed for classroom use.

**Item Type:**Assessment/Problem Set

**Level:**High School

**Duration:**One Class Period

This comprehensive self-assessment offers much more than a set of problems. For each of the 37 questions, links are provided to additional explanations. This resource is ideal for self-assessment or as guided practice for learners who are struggling.

**Item Type:**Self Assessment

**Level:**Grades 9-12

**Duration:**45-60 minutes

### Modeling Motion (2)

#### Activities:

This simulation is a powerful way to investigate the meaning of shape/slope for 3 types of motion graphs: p-t, v-t, and a-t. Students "match" the motion of a ball whose movement is automatically generated. To do it correctly requires analysis of the motion. Next, learners predict what the graphs will look like by using sliders to generate their own straight-line graphs.

**Item Type:**Interactive Model

**Level:**Grades 9-12

**Duration:**One Class Period

We like the simplicity of this model for introducing free fall and gravitational acceleration. Students can control the initial height, set initial velocity from -20 to 20 m/s and change the gravitational constant. The free fall is displayed as a motion diagram, while graphs are simultaneously displayed showing position, velocity, and acceleration vs. time.

**Item Type:**Digital Model

**Level:**Grades 8-12

**Duration:**One Class Period

### The Case of Roller Coasters (10)

#### Lesson Plans:

Roller coasters offer an inherently interesting way to study energy transformation in a system. This simulation lets students choose from 5 track configurations or create their own design, then watch the resulting motion. Energy bar graphs are simultaneously displayed as the coaster runs its course. Students can adjust the initial speed and friction, or switch to stepped motion to see exact points where kinetic and potential energy reach maximum and minimum levels. *Includes lesson plan and student guide.*

**Item Type:**Simulation-Based Lesson

**Level:**Grades 6-10

**Duration:**One Class Period

Students build understanding of kinetic and potential energy as they design a physical model of a roller coaster with foam pipe insulation and marbles. The lesson is almost completely turn key: scripted teacher introduction, detailed illustrated instructions, student worksheet, scoring rubric, and post-activity assessment. Which track configuration works best? What can be done to reduce friction?

**Item Type:**Lesson Plan

**Level:**Grades 7-9

**Duration:**Two Class Periods

A four-day lesson that explores the same physics concepts as roller coaster design, but breaks the learning into two distinct segments to ensure that beginners understand the basics. In Part I, kids build a very simple curved track to explore kinetic and potential energy for a gumball moving downhill. Part II becomes more complex: build and test a gumball machine with loops and specific design constraints.

**Item Type:**Instructional Module

**Level:**Grades 7-10

**Duration:**4-5 class periods

#### Activities:

This short video does a great job of demonstrating centripetal force and how it acts to keep objects moving along a curved path. What makes a rider on a roller coaster feel a sensation of being thrown outward from the center during a loop, although there is no outward net force? The video serves to help beginners understand the dynamics of circular motion.

**Item Type:**Video Clip

**Level:**Grades 7-12

**Duration:**5 minutes

Exactly what IS centripetal force and what does it do? An astronaut on board the International Space Station demonstrates this force in ways students cannot observe in daily life. The environment is "almost" weightless, making it easy to observe the center-seeking motion without the complicating effects of gravity.

**Item Type:**Video Clip

**Level:**Grades 6-12

**Duration:**5 minutes

Want to do a quick lesson on energy transfer in a roller coaster, but can't devote more than one class period? This simulation lets kids design a very simple roller coaster, then it evaluates the design based on physical principles, safety, and "fun factor". Good springboard for further inquiry into energy transformation.

**Item Type:**Interactive Simulation

**Level:**Grades 6-10

**Duration:**30 minutes

This self-paced multimedia tutorial explores how cars move along a roller coaster track as a result of energy transformation. Part of the Middle School Literacy Project, it is designed to develop literacy skills in the context of a focused science or math lesson. Students read informational text, build vocabulary, view videos and interactive simulations, and create written responses in both short and extended forms. Registered teachers may set up student accounts for tracking progress.

**Item Type:**Multimedia Tutorial

**Level:**Grades 6-9

**Duration:**30 minutes

#### References and Collections:

The heart of this website for engineering education is its wonderful collection of videos that feature kids doing activities that illuminate key concepts in science and engineering. Each video is well-produced to allow the actor-students to apply concepts of science, then experience the excitement that goes with real discovery. Here's a taste: one video takes kids on a field trip to the Etnies shoe headquarters to learn the biomechanics of skateboarding from engineers who are also skateboarders. Another video takes the kids to Epcot Center to design and plan their own roller coaster configurations. The site also offers interactive games and simulations.

**Item Type:**Digital Collection

**Level:**Grades 6-10

#### Content Support For Teachers:

If you need a refresher in the basics, this is a nicely organized tutorial that addresses four topics: uniform circular motion, centripetal force, applications and mathematics of circular motion, and amusement park physics. Includes free-body diagrams, animations, and problem sets with answers.

**Item Type:**Interactive Tutorial

**Level:**Introductory Physics

Short tutorial that uses an animation to illustrate the work/energy relationship in a roller coaster. The author breaks down the associated equation to show how total mechanical energy is conserved in the system.

**Item Type:**Interactive Tutorial

**Level:**Introductory Physics