Days 107-111: Final Review

Next week are trimester 2 final exams, so after wrapping up our last topic of the term, both my courses started reviewing for the final exam.

AP Physics 1: Model Summaries & AP Classroom

I’m generally skeptical of typical final review activities, but I really like starting with model summaries. I gave each group one of the major models from so far this year and asked them to prepare a whiteboard with the key diagrams, equations, and other representations for their model. A lot of groups found it helpful to start by coming up with a scenario where the model would be useful. Students really responded to the idea that a model is a toolkit, and the model summary is a reminder of the tools in that toolkit.

After the model summaries, I had students go on AP Classroom, where I’d unlocked multiple choice problems from each of the topics we’ve done so far and asked students to pick a topic to complete. Students liked choosing what they wanted to review, but really wanted a chance to whiteboard and discuss the problems. We ran out of time for any whiteboarding, but I’m glad that my students see the value in discussion.

Physics: Final Review Packet

Monday through Thursday we worked on wrapping up energy, then I handed out a fairly standard final review packet. While working through the packet is helping students to feel more confident goin g in to the final, it reminds me that we have a lot of room for improvement in spiraling content and helping students draw connections between models in this course. That said, students had a much easier time with some of the old problems than in past years, which suggests we’re moving in the right direction.

Days 80-84: SHM Labs & Momentum Bar Charts

AP Physics 1: SHM Labs

We worked on labs to determine what affects the period of objects in simple harmonic motion. I had half the class experiment with pendulums, while half the class used springs. During the board meeting, we did a lot of jumping back and forth between the two experiments; this lead to some good discussion about energy when we saw that mass mattered for the springs, but not for pendulums. I had each spring group use a spring with a different spring constant, which also lead to some good discussion about why the pendulum groups all got the same slope on their linearized graphs, while each spring group got a different slope.

Physics: Momentum Bar Charts

This week, we developed conservation with cart explosions, then worked on using momentum bar charts to represent conservation of momentum problems. After last week, I spent some time talking about the purpose of giving students time to work all (or most) of the problems on paper and warned them I would be unhelpful when they were preparing their whiteboards, then held to it. When we got to mistakes whiteboarding, I required groups to make at least one of their mistakes in the bar charts. While students were working on paper and preparing their whiteboards, I saw a lot more small-group discussion than usual, both within groups and across groups, which was fantastic. During the whole-class discussion, I also got some students speaking up who are usually pretty quiet and one of my classes even got some really good student-to-student exchanges, which have been very rare this year. On Friday’s quiz, students consistently felt really good about their performance. I’m hoping that the positive experience students had whiteboarding these problems coupled with good performance on the quiz will move the class culture in the right direction.

Days 75-79: Projectile Problems, Impulse, & Risk Taking

AP Physics 1: Projectile Motion & Free Fall

This week, we worked on problems and calculations for projectile motion and free-fall. A lot of students were rusty on velocity vs. time graphs (like we haven’t used them much in a while or something!), so it was helpful to revisit. I also continue to really like projectile motion as a wrap-up to linear mechanics since we had a chance to revisit pieces of each major topic so far. I was out sick for a day, which made it tough to fit in the practical I usually do while staying on track for pacing. I think the practical could be good for a review in April, especially since I’ve got some ideas for extensions to connect the lab to more concepts.

Physics: Impulse Problems & Risk Taking

We spent most of this week working problems using momentum and impulse and discussing them with mistakes whiteboarding. This week, I was particularly aware of two common behaviors during problems and whiteboarding that suggests students are still wary of taking risks in my classroom. First, when working the problems on paper, I had a lot of students who got off-task if I wasn’t at their table and were really resistant to sharing their thinking if I was. Second, most of the mistakes students picked for mistakes whiteboarding were in parts of the problems that relied on familiar representations, like vector addition diagrams and velocity vs. time graphs, rather than in the new material.

Recently, I had a conversation with an administrator about classroom environments that encourage academic risks and we agreed that before students can take a risk, they need (1) to feel safe and to know the stake are low and (2) a clear sense of how they will benefit or what they will gain, ideally regardless of the outcome. I’m pretty sure I need to put in work on both of those criteria. Some students who I know really appreciate the discussion that comes from mistakes on new material stuck to mistakes on the familiar content, which tells me they aren’t feeling as safe as I ‘d like. Several of the students who were off-task doing problems on paper find the whiteboard discussions extremely valuable, so I think they just didn’t see a benefit to taking the risk or effort of working through their confusion when we were still on paper. All of this tells me I need to keep working to make sure both requirements for academic risk taking are present in my classroom.

Days 68-72: Energy Practical & Pushing Boxes

AP Physics 1: Energy Practical

This week, students worked on applying conservation of energy. We wrapped it up with a lab practical to find the spring constant of a popper toy. To help with what makes a good procedure, I had groups start by writing out the steps they were going to follow on a whiteboard. Then, they traded whiteboards with another group and had to follow the procedure they were given to actually collect data. One group came up with a nice strategy of writing out the equation they’d use in their calculations, then checking off each variable as they added a step to measure it.

Physics: Pushing Boxes

Students spent a lot of time this week on problems applying Newton’s 3rd Law and synthesizing Newton’s Laws, including some great problems originally from Matt Greenwolfe where students draw free-body diagrams and velocity vs. time graphs for boxes pushed across various floors. While there was some great discussion, I think these problems would have been more valuable much earlier in the forces model. In general, I think Newton’s 3rd Law feels like an afterthought in how we approach forces. With some shifts in what we’re doing early in this model, we could better integrate key elements of this model and reduce the need for doing some kind of synthesis at this point in the unit.

Days 63-67: LOL Diagrams & Newton’s 3rd Law

AP Physics 1: LOL Diagrams

Students worked on sketching bar charts and LOL diagrams to show energy transfers. I was really pleased with how comfortable students were switching between different systems. I started out the week by having students use a spring scale to pull a cart up different ramps, always raising their cart to the same height above the table. We then sketched force vs. displacement graphs to introduce the idea of work and gravitational potential energy. Getting both simultaneously meant the concepts blurred together for students at first, but that issue got resolved as we did mistakes whiteboarding with energy bar charts and LOL diagrams.

Physics: Newton’s 3rd Law

One of our major tasks this week was developing Newton’s 3rd Law. Students started by predicting how the forces on two colliding carts would compare, then we tested out the collisions. As we tested the collisions, I cued students to notice the relative accelerations of the carts, which I think helped students see the useful thinking in their original predictions. Before we officially stated Newton’s 3rd Law, I borrowed an idea from Mark Schober and had students play with film canisters with magnets inside to test and refine their rule before the whole-class discussion.

Day 36-40: Newton’s Laws & Whiteboarding

AP Physics 1: Newton’s 2nd Law

Students used a modified half-atwoods to find a relationship between force and acceleration. The quality of the results varied a lot. I’ve been talking to the AP Chemistry teacher, and we think part of what’s going on is students aren’t often asked to use their data in meaningful ways before they get to physics, so it doesn’t make sense to take the time and attention to collect data carefully. I need to put some thought into how to help students place value on good data collection and build the skills required to collect good data.

After developing Newton’s 2nd Law, we spent some time combining the new equation with vector addition diagrams. Students are starting to buy in to the diagrams as useful thinking tools, which is always a lot of fun to see.

Whiteboard with a data table with values for acceleration and force, a graph of force vs. acceleration, an equation for the line of best fit, and a value for the total mass the group used. The slope of the line of best fit is very close to the total mass.

Physics: Free-Body Diagrams

Students have been working on Newton’s 1st Law and drawing free-body diagrams. We have some problems that often lead to great discussion with mistakes whiteboarding, but I’ve been struggling to get students in one of my hours to speak up during whole-class discussions. To help with that, I tried doing a short gallery walk prior to any of the whiteboard presentations this week. Once the whiteboards were ready, I had students visit each board with their group and make notes on their worksheet about potential mistakes they saw or questions they had. During the whole-class discussion, there was a lot less silence and we heard from some students who don’t often speak up, which was exactly what I was hoping for. I think it also helped that I shared those goals with students before we started. When a student joked those goals aren’t going to happen, I assured her I’m very stubborn and am convinced the class can get there.

Days 24-28: Force Formulas & CAPM Diagrams

AP Physics 1: Balanced Forces

This week was all about figuring out the formulas for gravitational force, spring force, and friction force, then practicing combining them with free-body diagrams. After doing some fairly standard labs to develop the formulas, students did a version Kelly O’Shea’s problem solving stations. I’d like to add a station using the force of friction, but need to make sure there’s a good way for students to check their answer.

This year, I’ve been working on keeping my pace on track, and most students are keeping up. I always have some students who start out goofing off during the daily work because its not graded, but the majority of them are figuring out they need to stay engaged, which is great because students are deciding for themselves that the daily work is valuable and my retake policy means they aren’t stuck with a grade based on choices they made early in the term! The problem is I’ve also got a few students who I see starting a cycle where they are missing pieces because of goofing off, then struggle with what comes next, and disengage more out of frustration. Before students become stuck in that cycle, I need to give some thought to how to help those students feel a greater sense of control over their learning. I think on Monday I might spend some time talking as a whole class about strategies for when students are feeling stuck or frustrated. I’m also trying to be conscious of how I approach those students, trying to keep my focus on communicating I’m available to help rather than chiding them for being off-task.

Physics: Constant Acceleration Representations

Students practiced using constant acceleration representations. A lot of them are having trouble connecting what we’re doing now to constant velocity representations, which happened last year, as well. I need to put some thought into how we structure this unit to help students see how we are extending their skills, rather than starting something completely new.

In whole-class discussions, students are still pretty quiet, though I’m seeing signs of progress. I’m hearing a lot from students how much they like mistakes whiteboarding, even if just a few students are responsible for most of the questions during those activities. There was a great moment where a group presenting said they didn’t want any questions from a peer who’d been very vocal during the other presentations, and he responded “That’s a great idea!” When no one raised their hands, a member of the group started calling on some of the other people she knew had a good grasp of the problems, but rarely speak up. It was a pretty awesome moment.

Days 20-23: Newton’s 1st LAw & Constant Acceleration Model Building

This week was a little goofy. Students were off Friday for a staff development day and it was homecoming week, so classes were shortened on Monday and Thursday for festivities.

AP Physics 1: Free-Body Diagrams

This week was all about Newton’s 1st law. We started with the bowling ball lab to come up with a formulation of N1L, then worked on representing forces with free-body diagrams and system schema. Both sections had mistakes whiteboarding sessions that were overall really good. There was a debate about whether a projectile should experience air resistance that had a lot of good thinking. We ended up grabbing a softball out of the storeroom and capturing an image of it rolling in Motion Shot to see if it had a constant velocity. There was a much more intense debate about air resistance than I’ve seen before and I think the group presenting felt like it became a “gotcha” moment. I need to think about how I could have intervened differently in that discussion to shift the tone it took on.

Made in Motion Shot; photo with multiple, evenly spaced images of a softball as it rolls across a table

Physics: Constant Acceleration Model Building

Students used video analysis to produce graphs of the motion for an object on a ramp. I was ornery about making students attempt to follow a reference guide I made before I’d help with the technology, which made it a lot easier for me to spend time with students who needed help troubleshooting. The results were better than when I’ve used photogates, but still fairly messy. I think part of the problem is, regardless of the approach, students rush on key pieces and get sloppy data as a result. I need to think about how to slow my students down at key steps. It was also tough to get students to speak up during the board meeting, even with doing a gallery walk and jotting down some observations with their group beforehand. I’ve got more students than usual who underestimate how much they know and are wary of jumping in as a result. I have some work to do on increasing the social safety in my classroom and helping students recognize their contributions.

Students also did Kelly O’Shea’s CAPM card sort. Interestingly, even though this fell on the day of our homecoming pep fest, students were overall very engaged in the activity. I saw a lot of the same students I struggled to get to speak up during the board meeting asking great questions and sharing ideas during the card sort. I think the small group setting was a factor. I need to give some thought to what else made students comfortable speaking up so much in their small groups and how I can bring that to whole class discussions.

This group used chalk to turn their card sort in to a Venn diagram

Days 15-19: Interaction Stations & Constant Velocity Problems

AP Physics 1: AP Workbook

To wrap up constant acceleration calculations, we worked on some problems out of the College Board’s workbook. There was a lot of great discussion as students worked through the relatively complex problems. Students have been nervous about the early registration date for the exam this year, and working the problems seemed to help alleviate some of their fears.

Students also worked through an activity based on Brian Frank’s interaction stations to start building their model of a force. I had a sub that day, so afterward had students use a reading to define the major types of forces we’ll be using in class and connect them to the stations. We’ll be discussing the stations early next week and I’m thinking about how I want to approach the discussion. This week, I happened to read a chapter from Bryan Brown’s Science in the City where he talks about how teachers often miss how accurate students’ preconceptions are because students aren’t ready to express those ideas in scientific terms. I’m wondering how I might change the way I usually approach this discussion (and many others) to do a better job of recognizing and building on what students knowledge, regardless of the language they use to express it.

Physics: Constant Velocity Problems

Students worked problems, including the dueling buggies practical, using the constant velocity of a particle model. On their weekly reflection, a lot of students wrote about navigating different ideas within their groups about how to complete the lab practical. I was really excited to see that multiple approaches were suggested in most groups and that students were thoughtful about how to balance making everyone heard with moving forward as a group.

We also did some mistakes whiteboarding. In both my courses, I’ve been pleasantly surprised by how quickly students are buying in to this activity. My Physics students have been pretty quiet during the whole-class discussions, but they are consistently referencing it in reflections as something they find helpful for learning and where they feel proud of their work in class.

Days 5-9: Board Meetings & Problems

This week’s big theme was using precise, specific language in physics.

Physics: Buggy Lab & Problems

Students did the buggy lab, then worked on some problems with constant velocity representations. We went over the problems using Kelly O’Shea’s mistakes whiteboarding. Both during the buggy board meeting and during the mistakes whiteboarding, students used a lot of phrasing like “the slope is increasing” to indicate a positive slope or even just saying “the buggy was decreasing”, rather than specifying what about the buggy is decreasing, which made for some good opportunities to pick apart that wording and try to find ways to make it clearer what they meant. A few students seemed like they were frustrated by these conversations, especially during mistakes whiteboarding when a group didn’t consider that one of their mistakes, which tells me I need to keep working on emphasizing growth.


AP Physics 1: Problems & Acceleration Model-Building

AP also had their first round of mistakes whiteboarding this week. While we had some similar conversations about language, I noticed fewer students who seemed frustrated by those conversations. I don’t think I approached getting nitpicky about wording differently than I did in Physics, so I’m not sure if the AP students were doing more hiding their frustration or if they are bringing something to the class that leaves them less bothered by me getting picky about language.

After the problems, we started a model-building lab for constant acceleration where we used photogates to produce a position vs. time graph for a cart on a ramp. This lab is fairly teacher-directed since its the first time students are using any LabQuest probes, and it takes a while to get through. I’ve thought about switching to motion detectors or video analysis, but with the limited computer access I usually have, I like that photogates produce data that students can linearize. My building added a lot more laptop carts this year, so I might try one of the other options when Physics gets to acceleration.