Calculating Area of Figures in the Coordinate Plane

Miacademy & MiaPrep Learning Channel

This instructional video guides students through the process of calculating the area of geometric figures plotted on a coordinate plane when specific segment lengths are not provided. The lesson bridges algebra and geometry concepts by combining area formulas with coordinate geometry techniques. It demonstrates two primary methods for determining side lengths: counting units for horizontal and vertical segments, and utilizing the distance formula for diagonal segments. The video explores key themes including the properties of trapezoids and parallelograms, the application of the distance formula, and operations with radical expressions. It specifically walks through two detailed examples: finding the area of a trapezoid using simple counting methods and calculating the area of a parallelogram which requires using the distance formula and multiplying square roots. The content emphasizes efficiency and accuracy, touching upon strategies useful for standardized testing like the ACT or SAT. For educators, this video serves as an excellent resource for connecting separate mathematical concepts. It moves beyond simple plug-and-chug area problems by requiring students to derive the necessary dimensions themselves. The step-by-step walkthroughs provide a model for scaffolding complex multi-step problems, making it a valuable tool for Geometry or Algebra classrooms focusing on coordinate geometry and precision in calculation.