They will be able to compute areas of complex geometric figures. Fractions will be well understood, and they will learn to add/subtract/multiply fractions while using these to solve multi-step word problems. They will apply algebra to solve various kinds of problems. By the end of the level, students will be very comfortable solving problems where multiple variables could be used, but these students will understand that all variables can be represented in terms of one! They will be applying the substitution method automatically.
Students will be solving over 500 word problems in the school year, from Continental Math, Math League and Math Olympiads.