How do you generate questions for your students that address a variety of levels and capabilities of mathematical thinking in a whole class situation? Provide two examples of such questions for a stated grade level.
Using the following Grade 5 Common Core Math Standard, draft five questions that promote critical thinking and that are aligned to the standard. Explain how you would integrate these questions into a math lesson.
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)