Common Core Sheets
Rectangles - Same Area and Different Perimeter
Given a rectangle with specified dimensions, third graders are prompted to create a new rectangle with the same area, but a different perimeter. This challenges learners to think about perimeter and area in a new way. Use...
Curated OER
Complexity Madness
Discuss different techniques for finding the area of a geometric shape, with a great visual guide. Using a real life example, learners calculate the area of a rectangle and a square.
Math Worksheets Land
Using Tiling to Find Area - Guided Lesson
By splitting a rectangle into equal parts, scholars can see area as well as calculate it. First, they determine the area of a rectangle given its side lengths. Then, they use the space provided to segment it into four equal parts,...
Mathed Up!
Area of Compound Shapes
Scholars learn how to determine the area of compound shapes by finding the areas of the basic shapes that make it up. Pupils find the areas by adding areas together or subtracting them.
Corbett Maths
Pythagoras Rectangles and Isosceles Triangles
When does the Pythagorean Theorem come in handy? An intriguing video uses the Pythagorean Theorem to solve problems other than simply finding the length of a side of a right triangle. Pupils find the diagonal of a rectangle and the...
DK Publishing
Areas of Rectangles and Squares
Each of these rectangles and squares has the length and width given with units. Can scholars solve for the area? Designed for beginners to this skill, all of these are whole-number single-digit measurements. There is a detailed example...
Curated OER
Area of Right-Angled Triangles
There's a trick to solving the area of a triangle, and it involves a skill your geometers have already mastered. Help them discover the connection between finding a rectangle's area and finding a right triangle's area as they solve 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...
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson plan challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and...
Curated OER
Finding the Area of Shapes
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
Curated OER
Area of a Square
In this geometry worksheet, 6th graders find the area of four squares with given measurements. Students use metric units to calculate the area of each given square.
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...
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...
Curated OER
Measuring Rectangle Areas
In this math worksheet, students learn the formula for measuring the area of a rectangle by reading the information and looking at the diagram. Students find rectangular objects and measure the areas.
Common Core Sheets
Creating Area and Perimeter Rectangles
Third graders are challenged to draw their own rectangles given a specific area or perimeter. There are no examples of how each rectangle should look, so it is important for learners to persevere in finding a solution. There is more...
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...
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...
Curated OER
ExplorA-Pond: 6th Grade Area and Random Number Tables
Sixth graders estimate surface area of a pond using a random number table.
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine the...
Curated OER
Perimeter and Area of Complex Figures
In this perimeter and area worksheet, students solve 6 word problems where they must determine the perimeter or area of complex figures. Diagrams are provided and real world applications like gardens and carpeting are used in the problems.
Common Core Sheets
Determining Rectilinear Area
Third graders find the area of rectilinear shapes by partitioning them into two non-overlapping rectangles and adding the areas of the non-overlapping parts together. It allows learners to recognize area as an additive.
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...
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...
Common Core Sheets
Determining Area with Square Units
Third graders measure area by counting unit squares inside a rectangle.