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.
Learning Targets
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.
CCSS Standards
Glossary Entries

variable
A variable is a letter that represents a number. You can choose different numbers for the value of the variable.
For example, in the expression \(10x\), the variable is \(x\). If the value of \(x\) is 3, then \(10x=7\), because \(103=7\). If the value of \(x\) is 6, then \(10x=4\), because \(106=4\).
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