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Scholastic
Study Jams! Area of a Triangle
Even though there is a wide variety of different triangles in the world, knowing a single equation allows us to find the area of each and every one of them. Follow along with this step-by-step presentation as Zoe clearly models how to...
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.
EngageNY
The Area of a Circle
Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...
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...
Doing Maths
Area of Various Shapes
Find the area of triangles, rectangles, and parallelograms using this metric worksheet.
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.
CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Corbett Maths
Area under a Graph
What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...
Common Core Sheets
Rectangles - Same Perimeter and Different Area
Given a rectangle with specified dimensions, learners are prompted to create a new rectangle with the same perimeter, but a different area. This challenges third graders to think about perimeter and area in a new way. Each problem...
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...
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.
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 challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
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...
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...
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.
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.
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 series supports children with learning how to measure the area of squares, rectangles, and other...
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...
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Bowland
Fruit Pies
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
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.
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...