My students struggle with the following concepts/habits:
1) Writing and Solving Literal Equations
I introduce the idea by using simple geometric formulas such A = lw. I ask the students how they can use the same formula if they are asked to solve for the length (or width) instead of area. Students typically give the correct response by saying that you need to divide the area by the width (or length). I ask them to write their answer as a new formula (l = a/w or w = a/l). We then talked about how they were able to write the new formula using inverse operations.
2) Laws of Exponents
I introduce this lesson by writing the variables repeatedly without the exponents so that the students can see the patterns and come up with the rules instead of giving them the rules. Students like using "their" rules and explaining them to the other students. Still, they struggle with answering these questions in standardized tests/benchmarks because they are not allowed to use their own notes and they it find it hard to understand the properties the way they are written in the books and charts.
3) The habit my students struggle with is organizing their resources. I notice that mine don't really have a problem writing down notes or doing foldables but they struggle with keeping up with all the paper. We tried gluing them on composition notebooks and using binders and we are usually successful at the beginning but have trouble following through the rest of the year. I write "we" because I also find it difficult myself to find time during class for the students to organize their stuff. Any suggestions?