Installment three of the area, surface area, and volume application problems. I know some of you have been using these and I hope they are working out well.
Area application can be found here. Surface area application can be found here.
In this post I have included volume application problems and application for surface area and volume of spheres.
I also provide students with candy in boxes and have them calculate the wasted or empty space in the box. This gives them hands-on application and allows them to use their tools. And, student LOVE to eat candy!
The Life Savers box is an amazing find! It’s a trapezoidal prism and we calculate the Life Savers as cylinders with a cylinder removed in the middle. The Mike and Ike’s are also fun because we calculate them as a cylinder with hemispheres at each end. The Kisses container is a triangular prism and we use the cone formula to estimate the volume of each Kiss. Gobstoppers are less fun, just spheres inside a rectangular prism, and the Tootsie Roll container is the least challenging of all with cylinders inside of a cylinder. I have each group work these problems on poster paper and then present them to the class. Giving students the opportunity to share in front of the class is something I try to work into each unit. Please make sure you have a culture of trust and respect in your classroom before you do this with students. It can be damaging to their fragile egos if they are ridiculed or made fun of. And if you chuckled at fragile ego, remember back to high school. What others thought of you mattered at lot!
Here are the application activities I promised. Please let me know if you find them useful. It makes me happy when others can benefit!
I posted some area application problems last week. You can find that post here. I also promised some surface area problems, so here you go. One page is many different problems that you could use as an assignment, assessment, or problem of the day. The second one is one problem broken up into 5 days, perfect for a daily warm-up. This idea of taking one prompt and using it all 5 days, called Focus on the Question, comes from Sue O’Connell in her Putting Practice Into Action book. It’s written more for elementary but the idea can be used with high school. I’ve found this strategy to work better with struggling learners. They have conversation time and it breaks the task down into smaller parts. I always call on a table, and not a person, to allow them to share what they discussed, discovered, and concluded.
I’m currently working on some volume application, which sneaks in some surface area. I will have another one including spheres. Stay tuned.
In Geometry, we teach area as a quick review before surface area and volume. This year, I wanted this topic to be more of a life skill than just a review. I taught students how to use Google cards to find the area of common shapes. A quick search will pull up the following card for almost any shape.
The more important skill I wanted to help my students with was using area. In life, if we can find the information we need and know how to use it, we can solve almost any problem we have. I created some tasks, some based on actual activities I’ve done, to help them use area. I’m sharing them here so you can use them too. Teachers have limited time and sometimes finding a good activity that you don’t have to create is just what you need.
If you use these activities, please share with me on Twitter. It makes my day when someone finds value in what I’ve created. Happy mathing!
Click on the image to view the template.
Stay tuned for surface area and volume application.