Curated OER
Mapping the Bone Field: An Area and Scale Exercise
Here is an excellent cross-curricular lesson. Learners relate multiplication to area by making a grid on graph paper, and then creating the same grid in real space outside in the school yard.
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
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.
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.
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...
Mrs. Glosser's Math Goodies
Perimeter & Area Worksheet 3
There are many different polygons, so give your learners a worksheet that practices area and perimeter on the various shapes. This full-page worksheet includes problems with hexagons, trapezoids, squares, parallelograms, and rectangles....
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...
Bowland
Golden Rectangles
Scholars must determine the maximum area for a rectangular plot of land enclosed with 100 meters of rope. As the work they discover patterns and numerical approaches to solve the problem.
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.
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...
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...
Doing Maths
Area of Various Shapes
Find the area of triangles, rectangles, and parallelograms using this metric worksheet.
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...
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a activity 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
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson 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 figure.
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...
Virginia Department of Education
Area and Perimeter
Develop a strategy for finding the area and perimeter of irregular figures. Building on an understanding of finding area and perimeter of rectangles and triangles, learners apply the same concepts to composite figures. After...
Curated OER
Explorations for the Area Probability Applet
Math whizzes use the area probability applet to manipulate the size of the circle and the rectangle to explore the probability that a point in the rectangle is also in the circle.
Curated OER
The Square Counting Shortcut
An excellent instructional activity that encourages learners to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own...
Utah Education Network (UEN)
The Pasture and the Fence
Beginning geometers use tiles and grid paper to draw and calculate perimeter and area. Rectangles of different sizes are created and then measured to build understanding. The one-inch grid sheet referenced is attached.
EngageNY
More Problems on Area and Circumference
Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles.
EngageNY
Area Problems with Circular Regions
Uncover strategies for finding areas of composite figures. The 23rd lesson in a 29-part module has young mathematicians decompose figures to find total area. Figures decompose to rectangles and circular regions.
EngageNY
Composite Area Problems
The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...
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