Coordinate Geometry
Master geometry in the coordinate plane with distance, midpoint, slope, and coordinate proofs.
What You'll Learn
- Apply the distance formula to find lengths between points on the coordinate plane
- Use the midpoint formula to locate the center of segments
- Calculate and interpret slope to understand line relationships
- Write coordinate proofs to verify geometric properties algebraically
- Solve real-world problems using coordinate geometry techniques
- Identify and avoid common mistakes on standardized tests
Before You Start
To succeed in this unit, you should be comfortable with:
- Plotting points on the coordinate plane (x, y coordinates)
- Working with positive and negative numbers
- Basic algebra including simplifying expressions
- Square roots and squaring numbers
- Understanding of basic geometric shapes (triangles, rectangles, circles)
SAT/ACT Alignment
SAT Math Domain: Geometry and Trigonometry - This unit covers coordinate geometry concepts that appear frequently on the SAT, including distance, midpoint, and slope problems.
ACT Math: Coordinate Geometry questions typically make up 15-20% of the ACT Math section. Mastering these skills is essential for test success.
Lessons
Distance and Midpoint
Learn the distance and midpoint formulas with foundational examples.
Coordinate Proofs
Use coordinate geometry to prove geometric relationships algebraically.
Guided Practice
Step-by-step practice problems with detailed solutions and strategies.
Word Problems
Apply coordinate geometry concepts to real-world scenarios and applications.
Common Mistakes
Identify and avoid frequent errors that cost points on tests.
Unit Quiz
Comprehensive assessment covering all coordinate geometry skills.