These 7 math tasks evaluate a student's understanding of comparing and ordering fractions and decimals, multiplying fractions by whole numbers, dividing whole numbers by fractions, and solving real world problems that are relevant to 5th and 6th graders. By using problem-based learning, students develop their own strategies for computing with fractions, decimals and whole numbers to make sense of real life problems.
When administering these tasks, I use the phrases "Illustrate and explain" or "Illustrate and justify" to convey the idea that students should draw a picture, chart or diagram; show their algorithms; and answer and explain their solutions with complete sentences using correct grammar.
Students who are accustomed to solving these kinds of problems not only do well on PARCC assessments but, are better prepared to handle real life problems with creativity and practicality. My students performed well on our state's constructed response assessments and the typical standardized testing.
If you have any questions or would like for me to design some more tasks for you, feel free to contact me.