Units of Tasks
For teachers looking for longer units for a cluster, the Units of Tasks files weeks-long materials that use research to build a sequence of problems that move from concrete to abstract in meaningful ways for students. They differ from Sequences of Tasks in that they are meant to be longer explorations, whereas the Sequence of Task are only 3 to 5 problems.
Additional Supporting Articles
Stephan, M. (2009). What are you worth? Mathematics Teaching in the Middle School, 15(1), 16-23.
Friel, S. & Markworth, K. (2009). A framework for analyzing geometric pattern tasks. Mathematics Teaching in the Middle School, 15(1), 24-33.
van Reeuwijk, M. & Wijers, M. (1997). Students’ construction of formulas in context. Mathematics Teaching in the Middle School, 2(4), 230-236.
Philipp, R. A. (1992). The many uses of algebraic variables. The Mathematics Teacher, 85(7), 557-561.
Gregg, D. U., & Yackel, E. (2002). Helping students make sense of algebraic expressions: The candy shop. Mathematics Teaching in the Middle School, 7(9), 492.
Gregg, J., & Gregg, D. U. (2007). Measurement and Fair-Sharing Models for Dividing Fractions. Mathematics teaching in the middle school, 12(9), 490-496.
| Grade | Cluster | Task |
|---|---|---|
| 6th | Ratio Reasoning | Ratios and Rates WORD | PDF |
| 7th | Integer and Rational Number Reasoning | Integers (Teacher) WORD | PDF Integers (Student) WORD | PDF |
| 7th | Geometric and Measurement Reasoning | Similarity WORD | PDF |
| 7th | Reasoning about Equations and Inequalities | The Candy Shop WORD | PDF |
| 8th | Functional Reasoning | Linear Functions WORD | PDF |