Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Curated OER
Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
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-instructional activity series supports children with learning how to measure the area of squares,...
Curated OER
Area of a Parallelogram
Fifth graders will use geoboards to construct parallelograms. They will determine the area of a rectangle and then apply that thinking to determine the area of a parallelogram. Note: The format of this lesson is much like a PowerPoint,...
Curated OER
Areas of Trapezoids, Rhombuses and Kites
Students calculate the area of different polygons. In this geometry lesson plan, students find the area for trapezoids, rhombuses and kites.
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...
Curated OER
Finding Areas of Polygons and Circles
In this math worksheet, students find the areas for the shapes. They apply the appropriate formula for each shape that is drawn and in the word problems.
Math Worksheets Land
Area of Rectangles in Word Problems - Matching Worksheet
Using just the measurements of ten rectangles, scholars match them to their calculated areas. Each of these is measured in feet, so the areas are labeled with square feet. The lengths and widths here are double and triple-digit whole...
Curated OER
Measuring the Area of Polygons
Fourth graders use pattern blocks to explore areas of polygons. They explain that the answers to the area of the same polygon vary according to the units of measurement used. They visualize how different units of measurement can be used...
Curated OER
Area of Polygons
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an...
Curated OER
Area of Polygons #2
In this area of polygons worksheet, students find the area of rectangles. They find the width when given the area. Students graph rectangles and solve word problems involving rectangles. This three-page worksheet...
Curated OER
Perimeter and Area of Polygons
In this polygons worksheet, 10th graders solve 10 different problems that include finding the perimeter and area of various polygons. First, they determine the length of the base of a rectangle given its height. Then, students determine...
Curated OER
Finding the Area and Perimeter of Polygons
Seventh graders practice finding the area and perimeter of polygons. In this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a...
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.
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...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Curated OER
Area of a Trapezoid
In this online math worksheet, high schoolers practice finding the area of a trapezoid, given the height and length, This excellent resource allows the students to check their answers, and to get "hints" should they run into...
Curated OER
Calculating Perimeter and Area of Polygons
Students discuss strategies for estimating information about various shapes. Once they draw and label four shapes with perimeters of 30 units, they calculate the areas of the figures. To complete the lesson, students offer written...
Curated OER
Countdown Challenge: Area of Basic Shapes
For 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.
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Curated OER
Calculating in Construction - Area
In this area activity, students solve 6 short answer problems. Students find the area of a figure composed of regular polygons such as triangles, rectangles, squares, etc given a sketch of the figure.
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...
Radford University
What’s Your Party Like? An Exploration of Area
Who knew that a party is all about the area. Individuals draw out a patio on grid paper while planning to host a party. Using colored paper to represent the total area of the patio, learners cut out furnishings to add to the patio,...
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