Real math help.
How Do You Find the Area of an Irregular Figure in the Coordinate Plane?
Note:
Finding the area of a composite figure in the coordinate plane is easier than you might think! Follow along with this tutorial to see the process step-by-step.
Background Tutorials
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A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
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What is Area?
Area is the amount of space a figure takes up! This tutorial introduces area and explains how we find the area of a figure.
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Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
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What is a Rectangle?
A rectangle is one of the many fundamental shapes you'll see in math. Rectangles have special properties that can be very useful in helping you solve a problem. This tutorial introduces you to rectangles and explains their interesting qualities!
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Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
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What is the Coordinate Plane?
You can't graph a function or plot ordered pairs without a coordinate plane! Learn about the coordinate plane by watching this tutorial.
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What is the X-Axis?
To graph a function or plot an ordered pair, you need to use a coordinate plane, so you should learn all about it! In this tutorial, you'll learn about the x-axis and see where it's located in the coordinate plane.
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Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
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What is an Ordered Pair?
Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!
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Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
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What is a Composite Figure?
Ever notice that some figures look like a combination of multiple other figures? These types of figures are called composite figures. This tutorial introduces you to composite figures and shows you how to break up a composite figure into multiple shapes. Take a look!
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What is the Formula for the Area of a Rectangle?
Trying to find the area of a rectangle? There's a formula that can help! Check out this tutorial to learn about the formula for the area of a rectangle.
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Further Exploration
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Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
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How Do You Find the Perimeter of a Rectangle in the Coordinate Plane?
Finding the perimeter of a rectangle in the coordinate plane is easier than you might think! This tutorial shows you how to use the coordinate plane to find the perimeter of a rectangle.
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