Curated OER
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
Curated OER
Finding the Area of Polygons
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
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.
Math Mammoth
Finding the Area of Rectangles, Parallelograms, and Triangles
For this area of polygons activity, 9th graders solve two area of rectangles, one area of parallelogram, and ten area of triangles problems. The formulas for finding the area of these figures are provided.
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...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson plan in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite...
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...
Doing Maths
Area of Various Shapes
Find the area of triangles, rectangles, and parallelograms using this metric worksheet.
Curated OER
Coordinate Plane Worksheets - Area of Rectangle
For this online math worksheet, high schoolers calculate the area of a variety of rectangles given the measure of their vertices. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
Math Worksheets Land
Area of Rectangles in Word Problems - Step-by-Step Lesson
Ricky is looking for the biggest space available for his dance studio, and he has four options. Scholars determine the area of each before deciding which one he should go for. Because there is only one word problem here and the answer is...
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
Finding Side Length (Given Area)
Area is the amount of space that takes up the inside of a figure. To find the area of a rectangle, one must multiply the length by the width. Here, third graders are challenged to find the missing side length, given the area.
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
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...
Common Core Sheets
Finding Area by Tiling
Third graders find area by tiling a rectangle based on the given side lengths. This helps learners visualize and create the area of a figure. From here, they can count the total number of tiles inside the rectangle to find the answer.
Mathed Up!
Surface Area
Surface area is the sum of the parts. Given the measurements of different prisms, pupils determine their surface areas. Individuals find the area of each surface and figure out the surface area by finding the sum. The video, part of a...
Curated OER
Area of Rectangles and Squares
Find the area; scholars examine nine images of squares and rectangles with width, length, and units provided for each. They multiply double-digit numbers to find the area, writing it into the box provided. Because square units are...
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
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
For each of these eight rectangles, scholars write out the multiplication sentence to find the area given the side measurements. They use an example for reference and must remember to include square feet in their answer. All measurements...
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a lesson on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
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...
Doing Maths
Insulating the House
Finding the area of a rectangle is the focus of this metric worksheet. Here, mathematicians use their knowledge of finding the area of a shape in meters to discover how much material can fit inside a shape.
EngageNY
Solving Area Problems Using Scale Drawings
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...