# Unit 4: Module 4: Connecting algebra and geometry through coordinates

## About this unit

"In this module, students explore and experience the utility of analyzing algebra and geometry challenges through the framework of coordinates. The module opens with a modeling challenge, one that reoccurs throughout the lessons, to use coordinate geometry to program the motion of a robot that is bound within a certain polygonal region of the plane—the room in which it sits. To set the stage for complex work in analytic geometry (computing coordinates of points of intersection of lines and line segments or the coordinates of points that divide given segments in specific length ratios, and so on), students will describe the region via systems of algebraic inequalities and work to constrain the robot motion along line segments within the region." Eureka Math/EngageNY (c) 2015 GreatMinds.org

### Learn

### Practice

- Graphs of inequalitiesGet 3 of 4 questions to level up!
- Two-variable inequalities from their graphsGet 3 of 4 questions to level up!
- Systems of inequalities graphsGet 3 of 4 questions to level up!

### Learn

### Practice

- Parallel & perpendicular lines from graphGet 3 of 4 questions to level up!
- Parallel & perpendicular lines from equationGet 3 of 4 questions to level up!
- Write equations of parallel & perpendicular linesGet 3 of 4 questions to level up!

### Learn

### Practice

- Area & perimeter on the coordinate planeGet 3 of 4 questions to level up!
- Coordinate plane word problems: polygonsGet 3 of 4 questions to level up!

### Learn

### Practice

- Midpoint formulaGet 3 of 4 questions to level up!
- Divide line segmentsGet 3 of 4 questions to level up!
- Distance between point & lineGet 3 of 4 questions to level up!