Lesson 12.1 Inputs and Outputs 1

This lesson requires students to use multiple representations to determine the amount of time needed to save for purchases. These representations – visual, numerical, symbolic, and verbal – are referred to throughout the program as “the fourfold way.” Each approach may lead to a valid solution; however, collectively, they provide for a more complete, comprehensive solution that may be readily accessible to more learners and provide more insight.

Four previous lessons provided an introduction to, and practice with, solving geometric pattern problems using the fourfold way. In future lessons, students will develop a more thorough understanding of linear relationships, including slope of a line. These concepts will eventually be formalized.

In the main body of the lesson (TP5-6), questioning is suggested to help students focus on: labeling, scaling, and conventions of graphing the meaning of a vertical intercept the idea that a rate of change, observed in a table and a graph, is called the slope of a line the efficiency of using an equation in the form y = mx + b to help solve a problem

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