EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
National Security Agency
Awesome Area - Geometry and Measurement
Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-lesson plan series supports children with learning how to measure the area of squares, rectangles, and...
Illustrative Mathematics
Finding Areas of Polygons, Variation 1
An exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...
Curated OER
Developing Formulas for Triangles and Quadrilaterals
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
Curated OER
Area of the Rectangle Word Problems
Don't let the title fool you; these are visual area problems. Scholars examine five rectangles segmented into rows and columns, matching them to their corresponding area on the right. There are no units involved here as this is for...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
Math Worksheets Land
The Area of Rectangles - Guided Lesson
Geometry novices will enjoy this approach to finding area, as they aren't required to include units or a formula. The main objective here is to segment a rectangle into columns and rows to create squares, which then are used to find the...
Houghton Mifflin Harcourt
Area - Homework 18.3
Presenting perfect practice for finding perimeter and area of a rectangle. Three rectangles are depicted, three sets of sides are listed, and one real-life application described for which youngsters compute both values. The...
Math Worksheets Land
Measure Area by Counting Units - Guided Lesson
Given measurement information on individual squares within a larger shape, scholars determine the total area of that square or rectangle. For one of these three problems they draw the shape knowing its total area and the measurements of...
Curated OER
Area, Perimeter, Volume Formulas
In this formulas worksheet, learners write the area, perimeter, and volume formulas of 17 2D and 3D polygons. Students list properties of various types of triangles and the metric conversions for metric units.
Mrs. Glosser's Math Goodies
Perimeter & Area Worksheet 2
Alternate between area and perimeter with this learning exercise, practicing both concepts with different shapes. Problems include examples with parallelograms, octagons, squares, rectangles, and trapezoids. The formulas are not...
Concord Consortium
Strings and Areas
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
EngageNY
Perimeter and Area of Triangles in the Cartesian Plane
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
Curated OER
Introduction to Area
In this area worksheet, students find the area of four rectangles when given the drawings with grid markings inside each. They use the area formula to find the area of five rectangles. This worksheet is intended to be used as a part of a...
Curated OER
Countdown Challenge: Area of Basic Shapes
In this basic shapes worksheet, students use formulas to determine the area of given figures. They compute the area of composite figures and subtract the area of shaded areas. This one-page worksheet contains 12 problems.
Balanced Assessment
Walkway
Evaluate different aspects of geometry with one task. An assessment activity prompts learners to determine the area of a pathway in the shape of a parallelogram. The Pythagorean Theorem and area formulas for various polygons provide the...
Curated OER
Using Formulae
In this Formulae worksheet, 10th graders identify and solve 9 different problems that include using particular formulas as given in each set of instructions. First, they determine the perimeter of a rectangle using the formula given....
Curated OER
Area
Learners solve and complete four various types of problems. First, they show on the diagram why the area of a triangle is given by a formula. Then, pupils find the area of each triangle and parallelogram illustrated, They also circle the...
Curated OER
Simple Area of a Rectangle
What is the area? Because there is only one problem here (and it is followed by a detailed explanation) use this as an all-class warm up. Cover up the bottom half until scholars have shared their own answers. They examine a rectangle...
Curated OER
Simple Area of a Rectangle
Given the measurements of three rectangular rooms, scholars determine the area of each. They are given units, so remind them to use square units in their answers. No side measurements exceed 20. Can your scholars measure the classroom...
Curated OER
Simple Area of a Rectangle
What is the area? Although there are no units involved, beginning geometers will get some good practice as they calculate the area for three rectangles and two squares. They match the answers to a list, however you can easily increase...