# Lesson 16

Representing Contexts with Equations

### Lesson Narrative

In the previous lesson students looked at methods for solving equations with rational numbers. In this lesson students choose equations that represent a context, and write their own equations given a context. Students are also encouraged to look at the structure of an equation and decide if its solution is positive or negative, without solving it (MP7).

### Learning Goals

Teacher Facing

• Coordinate (orally and in writing) verbal descriptions, equations, and diagrams that represent the same situation involving an unknown amount in the context of temperature or elevation.
• Write equations of the form $x+p=q$ or $px=q$ to represent and solve a problem in an unfamiliar context, and present the solution method (using words and other representations).

### Student Facing

Let’s write equations that represent situations.

### Student Facing

• I can explain what the solution to an equation means for the situation.
• I can write and solve equations to represent situations that involve rational numbers.

Building On