# Lesson 16

Solving Problems with Systems of Equations

### Lesson Narrative

In this final lesson on systems of equations, students work in groups as they apply what they have learned to solve three problems with different structures and then create a new problem similar in structure to one of the ones they solved. Groups trade problems, prepare well-explained solutions, and take turns sharing their solutions with the class. While groups share, ask other students to interpret particular aspects of the presentation, such as the slope of a graph, the coefficient of a variable, or the solution to a system, in terms of the context of the problem. When students present solutions and critique other students' solutions, they engage in MP3.

### Learning Goals

Teacher Facing

• Calculate the solution to a system of equations in context, and present (using words and other representations) the solution method.
• Create a system of equations to solve a problem in context.
• Critique (orally) peer solutions to a system of equations.

### Student Facing

Let's solve some gnarly problems.

### Required Preparation

Provide access to tools for making a visual display to each group of 2.

### Student Facing

• I can use a system of equations to represent a real-world situation and answer questions about the situation.

Building On