Surface area can be a very tricky concept for 7th grade minds. It has a lot of moving parts in it and sometimes it can feel like a little too too much. I feel like with this topic you really have to go back to finding area, and then work your way through a forest of prerequisite skills. At the end of the tunnel you’ll come out with them having an understanding of how to find the surface area of a 3D prism.
Also, with this topic in particular I think there are many ways to get it and each students should use the way that works for them. So, I like to use I Can Statements to chunk out the learning objectives, and help students progress towards mastery with finding surface area. Let’s walk through the lesson progression, using I Can Statements for Surface Area:
What I want my students to ultimately be able to do with surface area
In our pacing guide we lump surface area and volume of prisms and pyramids together. That seems like a good idea because they come from the same standard. I’m not sure it is the best idea, though.
First, students are already familiar with volume. Second, surface area is a beast of its own.
So, I’m going to treat them as two different topics. I use I can statements to keep track of the unit in students’ interactive notebook as a way of chunking learning. (If you want to learn more about using I can statements to plan lessons and chunk learning read this post.)
Here’s the list of I can statements that I used for this surface area unit:
- I can find the area of triangles and quadrilaterals.
- I can determine the net of a 3D shape.
- I can find the surface area of cubes, prisms, and pyramids.
- I can solve real world problems involving area and surface area.
We write or put a half page of the I can statement in our interactive notebooks at the beginning of each unit. Then, we refer to them everyday and. This works really well to get students connecting their individual learning to the daily task. At the end of each lesson, we review the I Can Statements to keep track of our progress.
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Remember- the sequence and description of these I can statements are not set in stone. You may need to add one or take one away, so don’t be afraid to do that. You’ll want to meet the needs of your students and your own scope and sequence.
I can find the area of triangles and quadrilaterals.
I work with students who struggle in math and many times they never mastered topics from other grade level, so I make sure to give them support with lots of prerequisite skills. Even students who are on grade level can benefit from a refresher. Reviewing finding the area of triangles and quadrilaterals is a concept that I spend an entire class period on.
My colleagues and I go back and forth on whether to include trapezoids in this refresher section. Personally, I think you have to include it because students won’t just intuitively know how to do it. So, I focus on triangles, rectangles, and trapezoids. Also, we do a discovery lab for area of those shapes and we put examples in a foldable in our interactive notebook.
I can determine the net of a 3D shape.
The breaking down of a 3D shape doesn’t come easy to everyone. Some kids see it and don’t have a hard time drawing it right from the start. Other kids have a difficult time visualizing what the net would look like. We do a lot of practice with physical shapes and 2D representations of them. I feel like this just takes a lot of time. You just have to keep showing these shapes to them in different ways and having them describe what they see. This builds up their schema, or background knowledge, in this area. Many of them lack schema and you can consider this your chance to build it.
Also, we do a few matching activities and games with these plastic nets. If there’s someone at your school who purchases manipulatives for your classes, then I would suggest getting these plastic nets. We used Title I funds to buy them and they last for a long time. These nets help students really see and understand how the nets of shapes relate to 3D shapes.
I can find the surface area of cubes, prisms, and pyramids.
Next, students work to master the goal, “I can find the surface area of cubes, prisms, and pyramids.” This is a *huge* I can statement. Consequently, you can break it down into specific shapes. There are so many skills involved.
I think you can consider it a win if a student can find the surface area of a cube even though they can’t do all shapes. What seems like a small achievement for some kids is huge progress. Typically, we’re not given enough time to get every kids to mastery of a huge concepts in a couple of days. I look for small wins and then build on them throughout the rest of the year.
My students just do a lot of practice with this I can statement. We do partner work, small group, and whole class activities. The key is to get students trying to solve a variety of problems.
I can solve real-world problems involving area and surface area.
Finally, we work toward the goal, “I can solve real-world problems involving area and surface area.” If students have proficiency in finding surface area, then these types of problems won’t be so hard.
First, we read the problems and use the C.U.B.E.S. method to annotate the word problem. The key is making sure we know which shape we’re finding the surface area of and identifying if they want us to do something else. Like in the example above, sometimes you have to subtract a part of the shape. Other times you may have to multiply the shapes because there are more than one of them. These basic word problem skills come into play during this phase of the learning.
Misconceptions for Solving Surface Area Problems
What trips students up when using surface area?
For one thing, students mix-up surface area and volume a lot. You can teach them in different order or together. It doesn’t seem to matter. My 7th grade students have been doing volume for a couple of year, so when they see 3D shapes their brains go straight to volume. Some of them do this even after my “awesome” lesson on finding surface area. However, you just have to battle through it and be aware that this is a common confusion. In addition, you have to keep showing them both surface area and volume problems, and have the students identify the differences. Remember, students should identify and describe the differences through both writing and speaking.
Another misstep is just keeping all the information organized. To battle this challenge, I’d suggest letting students use a method that works for them. We all organize information differently and if they find a way that works, then let them do it. You’ll need to model different ways to solve these problems. And memorizing a whole bunch of formulas usually won’t work.
Take-Aways and putting it into practice
Using the I can statements as path for learning works really well in my classroom. I’ve seen students have a lot of success with it. When they’re aware of the learning goals in the class, they’re more engaged in the lesson. At any rate, surface area is a complicated topic and students need to master several prerequisite skills first.
Now, it’s your turn. I’d love for you to take these surface area I can statements (or your own version of them) and implement them in your classroom. I’d love to hear about your experiences!
If you need a good set of surface area task cards that follow this topic sequence, then check this set out.
Thanks so much for reading! Until next time!
