Students use the information in a given problem to build an expression or equation that will help them find the solution.
If you see students who . . .
Mathematically proficient students understand that math problems generally have multiple entry points; that is, there is more than one way to arrive at the solution. Looking for symbols and patterns helps students make sense of the problem and find an entry point to the solution. One word of caution: Efficient does not necessarily mean fast.
For this strategy to work, students must first recognize that there are multiple ways to solve a given problem. Then, they must understand that although a problem can be solved using multiple strategies, some of those strategies waste little or no time. We call these efficient strategies. Writing an equation is an efficient strategy.
Writing an equation is one that we model throughout the school year. Students who are proficient mathematicians understand the importance of using an efficient strategy to arrive at a solution. As students develop a deep understanding of a mathematical concept, they will naturally progress from a concrete model as a method for solving to a more abstract model (such as an equation).
Suggested Language
Give students an organizer to help them map out their thinking. (What are some ways in which I could solve this problem? Which strategy would use the least amount of time—that is, be the most efficient?) This student work can be used as a launching point for discussion or reteaching during individual or small-group conferring sessions.
These strategies may provide support before, during, and after teaching this strategy:
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