Lesson objective: Understand that real world and mathematical problems can be represented by graphing points in the coordinate plane and that coordinate values of points can be interpreted in the context of the situation.

Students bring prior knowledge of the coordinate plane from 5.G.A.1. This prior knowledge is extended to representing real world problems on the coordinate plane as students graph points and interpret coordinate values of points in the context of a situation. A conceptual challenge students may encounter is misinterpreting coordinate values as they solve problems involving the coordinate plane.

The concept is developed through work with the first quadrant of the coodinate plane, which provides the platform to represent and interpret coordinate values.

This work helps students deepen their understanding of number because students learn that we can interpret coordinate values of points in the context of the situation.

Students engage in Mathematical Practice 6 (attend to precision) as they carefully create a representation of the problem using a coordinate plane, labeling their axes with the appropriate labels to model the problem. They will also then have to plot the coordinates given in the table to be able to examine the patterns and answer the questions.

**Key vocabulary:**

- coordinates
- coordinate plane
- coordinate value
- first quadrant
- x-axis
- x-coordinate
- y-axis
- y-coordinate
- ordered pair
- origin

**Special materials needed:**

- grid paper or pre-prepared coordinate planes