Lesson 1

Relationships between Quantities

Lesson Narrative

In this introductory lesson, students encounter some engaging contexts characterized by relationships that are not proportional. The goal is simply to see that we need some new strategies—it is the work of the upcoming unit to develop strategies for efficiently solving problems about contexts like some of the ones in this lesson. In this lesson, is not expected that students write expressions or equations, or use any specific representation. Students may choose to make diagrams or tables or reason in some other way.

Learning Goals

Teacher Facing

• Determine unknown values in a relationship that is not proportional, and explain (orally and in writing) the solution method.
• Interpret and describe (orally and in writing) relationships that are predictable, but not proportional.
• Justify (orally) that a given relationship is not proportional.

Student Facing

Let’s try to solve some new kinds of problems.

Student Facing

• I can think of ways to solve some more complicated word problems.

Building On

Building Towards