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
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
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...
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 upper...
Savvas Learning
Area of Squares and Rectangles, Alternative Lesson
Find the area of squares and rectangles and discuss square inches and square centimeters with your young geometers. Follow the example provided, and then let learners try it for themselves! They will find the area of seven rectangles.
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from instructional activity 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...
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.
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...
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a activity 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...
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
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...
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.
K6 Math
Area - Square and Rectangles
After third and fourth graders understand how to find the area of squares and rectangles, give them this sheet for practice. There are three squares and three rectangles included here, but there isn't a ton of workspace.
K6 Math
Area of Squares and Rectangles
More practice provided here for your young learners! They will find the area of two squares and one rectangle. There's open workspace for your learners to calculate the area. Note that the multiplication required to solve these problems...
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...
Curated OER
Perimeter & Area Worksheet I
For this perimeter and area worksheet, students find the perimeter and area of regular polygons. They identify the perimeter and area of polygons such as triangles, trapezoids, circles, rectangles, and parallelograms. Students write the...
Curated OER
Finding Areas of Polygons and Circles
In this math worksheet, young scholars find the areas for the shapes. They apply the appropriate formula for each shape that is drawn and in the word problems.
Curated OER
Mensuration: Area
In this area worksheet, young scholars read story problems, draw diagrams, and find the area of described polygons. This eight page worksheet contains six problems. Answers are provided.
Curated OER
Perimeter and Area Worksheet II
In this perimeter and area worksheet, pupils find the perimeter and area of polygons. They use the proper formula to find the perimeter and area of circles, parallelograms, triangles, and rectangles. Students complete solve ten problems.
Curated OER
Solids...Volume and Surface Area
In this volume and surface area worksheet, students find the volume and surface area of different solid figures. Students complete 8 problems.
Curated OER
Area
Learners solve and complete four various types of problems. First, they show on the diagram why the area of a triangle is given by a formula. Then, pupils find the area of each triangle and parallelogram illustrated, They also circle the...
Curated OER
Using Tiling to Find Area
There is only one area calculation problem here, and the explanation is detailed below; consider projecting this as an all-class warm up. Scholars assess a rectangle with given length and width, calculating its area. Next, they break it...
Curated OER
Using Tiling to Find Area
By splitting rectangles into four equal parts, scholars practice calculating area and determining side length. They begin by determining the area of each rectangle before segmenting it. Then, they use the space provided to split it into...
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