This problem solving situation is designed to prepare students for higher level thinking and testing. A situation is presented, and from that situation, four problems are posed. Students are challenged to use multiple steps and higher level thinking in order to answer these questions.
This type of problem solving situation can be used for small group instruction, independent work, or as homework.
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.)
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.