I think that the chances of your child internalizing the lessons and seeing them as valuable would be much greater if there were assignments or lectures in the regular class schedule that actually required study strategies to complete successfully. Unfortunately, the opportunity to get experiences like this often doesn't happen until college. Maybe you could talk to the teacher who is teaching this class and see if she could assign application projects throughout the class that could be individualized to be at an appropriate level?
Examples might be:
A. Choose a non-fiction article, a short non-fiction book, or a chapter of a longer non-fiction book on the topic of your choice, and outline the main points. Develop 4-5 study questions that require at least 1 or 2 sentence answers (no true/false or single word answers) that you could use to quiz someone studying for a test on the article or chapter to be sure that they understood the main ideas.
B. Watch a documentary, news program, science program, history program, or other non-fiction educational program on the topic of your choice and take notes as it is in progress, and then organize the material into outline form, a graphic web, or some other method that shows relationships between and among main ideas and details.
Allowing relatively free choice of material on assignments like these can auto-differentiate to a degree without a lot of extra teacher work, because children are more likely to gravitate to material that interests them and that is at or at least near their challenge level when they get to make the choice.
