My fourth grade students have been exploring measurement and geometry during the past week. They started out by learning about perimeter, area, and are now in the midst of discussing volume. Students are working on a project where they’re building rectangular prism models and constructing cities. They document the dimensions, cut out the rectangular prism that matches the measurements and places it on a map.
The groups have been working diligently over the past days. What I found interesting on Friday were the student conversations. As I peered over each group I eavesdropped on what was being said. Students are in groups of 2-3 and there’s plenty of conversation happening. Students are recognizing that the length, width and height all impact the volume of a rectangular prism. Mistakes are also happening. That’s a good thing. Students have had to use multiple grid sheets because they either cut out the faces too large or too small. They just grab another grid sheet and start over again. Their perseverance and being able to “lean into the struggle” is evident and I made sure to remind them of that. Students were even getting creative in adding sunroofs and open decks with their prisms.
Projects like this take time, but they’re often worthwhile in helping students build conceptual understanding. I’m looking forward to adding a question component for the groups on Monday. The questions will relate to cubic units and how the volume is found when combining multiple rectangular prisms.
I believe that this activity helps students apply volume formulas. I want students to come away with a better understanding of why the formula V = b*h is used and have them feel more confident in being able to see geometry/measurement relationships.
After this activity students will take a brief formative checkpoint where they’ll be answering questions similar to the below image. This is also how students will be assessed in a couple weeks.
The projects should be finished by the end of the next week. I’m looking forward to seeing how the cities finish up and the student reflections that follow.
My fifth grade students just finished up a unit on geometry relationships. They took the unit assessment with mixed results. I noticed that some students struggled a bit to complete problems involving geometry and formulas. Specifically, students inconsistently used formulas correctly to find volume, area and surface area. Keeping in mind that there’s only three days left of school, I balanced the idea of having students complete a brief geometry project or dive right into a review packet. I decided on the project. The project is similar to another one, but has a Hogwarts type of feel and the focus is more on surface area. I paired up students and told them that they have literally three days to complete this project as that’s how many days of school we have left. Students were given an introduction letter that basically explains that their team’s job is to create a model of a new museum. The museum must take the shape of a castle.
After briefly explaining the difference between surface area and area the class was off to creating their kingdoms. Students used nets and a map sheet to create a base for the castle.
Students were required to subtract the circle of one of the towers from the square base. That was interesting, as some students decided to count the squares, while others jumped right in and used a formula. I gave students a formula reference sheet but also had them access the OpenMathRef page. That was a fantastic resource as kids could manipulative the object to see how the surface area changes. Students also noticed that they needed to measure the slant height of the pyramids and cones. This was a new experience for them.
Students cut out the nets and glued/taped them to the map.
They had to make sure to cut out the nets correctly or they wouldn’t “close” and finish the shape. Students filled out their formula sheets after or during the construction process. One sheet was designated for the surface area and the other for floor area.
Students have made progress during the last two days.
Next week they have one day to finish. I’m planning on having those that finish complete a stop-motion video of their city with action figures. I’m looking forward to seeing the student creations.
Side note: On Friday students were given were given the opportunity to use the Crafty Cut app. Kudus to Trever for finding this gem. Basically, students are given a shape and they have to make one or two cuts to create an additional shape. We only used the free version and it worked just fine for my fifth grade class. I thought it helped kids see geometric shapes in a different light.
My third grade class is nearing the end of a unit on rates. We’ve been discussing tables and how to use them to record rate information. The students have been given a number of opportunities to fill in missing sections of tables when not all the information is present. They’ve been required to find unit prices of items to comparison shop. We spent a couple days just on that topic. Whenever money is involved I think the kids are just a tad more interested in the problem. For the most part, students were able to find the unit price of items. It was a bit of a challenge to round items to the nearest cent. I used Fawn’s activity to help student explore this concept. For example, 32.4 cents per ounce is different than 32 cents per ounce. When to round was also an issue, but I believe some review helped ease this concern. Near mid-week, students were picking up steam in having a better understanding of rates and how to find unit prices to shop for a “better buy” when given two options.
I introduced a camping rates activity on Wednesday. This was the first time that I’ve tried this activity as I have time to use it before the end of the year approaches. Here’s a brief overview: Students are going to be going on a camping trip. The student is responsible for shopping for the food (adding the unit prices), sleeping bags (for the entire family) and tent. They can spend up to $50 for the food and their complete total has to be less than $500.
Students used Amazon to find the items. The most challenging part in this assignment was finding tents and sleeping bags that were the appropriate sizes. The tent had to be at least 100 square feet and each sleeping bag at least 15 square feet. That’s where some problems starting to bloom. Converting the measurements for the tents and sleeping bag took some time. Most sleeping bags were small enough that their measurements were in inches and students needed to record their answers in feet.
The tent dimensions were in feet so that didn’t cause much of an issue. Students had to figure out which dimension indicated the height and not include that in the square feet. Although, some students thought that was an important piece. Maybe I’ll change this assignment up next year to add a height component. So this took a bit of explaining and guidance, but we worked out the kinks. Students used tables to convert square inches to square feet.
Next week, students will be creating a video of their camping activity. They’ll be taking some screen shots, explaining why they picked each item, (I chose food/this particular tent/sleeping bag because …) explain the unit prices of the food items, describe the process used to find the square feet of the sleeping bag and tent, and how they were able to keep the total cost below $500. I believe they’ll be using Adobe Spark to create this presentation. I need to remember to cap the videos at around three minutes, as some go a bit too long as they might talk more than they needed. I’m looking forward to seeing how this turns out next week.