Coordinate geometry (or Cartesian geometry) is a branch of mathematics that defines and studies geometric shapes—such as lines, circles, and polygons—using algebraic equations and numerical coordinates on a 2D plane. It uses a Cartesian plane with (horizontal) and (vertical) axes intersecting at an origin to calculate distances, midpoints, slopes, and properties of shapes.
Welcome to the Coordinate Geometry Command Center. Whether you’re a rookie navigator learning to plot your first ordered pairs or an elite strategist these interactive missions are designed to sharpen your mathematical precision.

| Fundamentals |
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| · Coordinate Plane: Master ordered pairs and identify quadrants. |
| · Distance Formula Game: Calculate the distance between any two coordinates. |
| · Midpoint Formula Game: Find the center point of any line segment. |
| Linear Equation |
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| · Find Slope of a Line Game: Determine the rise over run given two sets of coordinates. |
| · Find Slope & Intercept Game: Extract the m and b values from linear equations. |
| Convert between Standard Form and Slope-Intercept Form |
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| · Standard Form to Slope-Intercept Form |
| · Slope-Intercept Form to Standard Form |
| Building Equations |
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| · Slope-Point to Equation |
| · Two-Points to Equation |
| Interactions between Lines |
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| Learn how lines interact with one another in the coordinate field. |
| Parallel Lines: Find equations for paths that never meet. |
| · Find the Equation of a Parallel Line Give in Slope-Intercept Form |
| · Find the Equation of a Parallel Line Give in Standard Form |
| Perpendicular Lines: Find equations for paths that meet at 90°. |
| · Equation of a Perpendicular Line (Slope-Intercept) |
| · Equation of a Perpendicular Line (Standard Form) |
| Shapes, Circles & Transformations |
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| Area Missions: Calculate the space occupied by polygons using coordinate data. |
| · Area of Rectangle on the Coordinate Plane |
| · Area of Triangle on the Coordinate Plane |
| Map out curved boundaries using the center-radius form |
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| · Equation of a Circle |
| Transformations: Move, flip, and spin objects across the grid |
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| · Translation |
| · Reflection |
| · Rotation |
| Apply shifts, stretches, and compressions to parent functions |
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| · Function Transformations |
Quadrants of Coordinates
Slope of a Line
Slope and Intercept of a Line
Midpoint Formula 1
Midpoint Formula 2
Distance Formula 1
Distance Formula 2
Exploration Activity
Slope and Intercept of a Line
Quadrants of Coordinates
Area of rectangles given the coordinates of the vertices
Area of triangles given the coordinates of the vertices
Area of trapezoids given the coordinates of the vertices
Translation of Points 1
Translation of Points 2
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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