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
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...
Curated OER
Calculating Areas of Rectangles
In this geometry worksheet, students calculate the areas of rectangles. They use the formula for area of a rectangle.
Curated OER
Flip's Flag
Fifth graders apply the symmetry and angle properties of polygons and use fractions to express the relationships between the areas of rectangles, squares, and triangles. They analyze various country flags and develop mathematical...
Math Mammoth
Area of Rectangles
In this geometry worksheet, 4th graders identify how many square units is the area of each of the shaded shapes. Then they find the areas of the rectangles when the sides are given. Students also draw the figure described for each.
Illustrative Mathematics
Same Base and Height, Variation 2
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
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...
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...
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...
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...
Curated OER
Introductory to Area (Squares, Rectangles, and Triangles)
Middle schoolers explore the concept of finding area. In this finding area lesson, students use knowledge of area of triangles to find area of squares and rectangles. Middle schoolers find area of irregular figures by breaking the...
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...
Curated OER
Area of Rectangles
In this rectangle learning exercise, students find the areas of rectangles and draw squares to a given size, Examples and explanations are provided prior to the exercises. There are eight problems provided on this two-page learning...
Curated OER
Area of Rectangles
Seventh graders review the concept of finding the areas of a rectangle. This lesson uses the classroom as a real life application for the formula of area. They measure classroom in order to compute the area.
Curated OER
Finding Area and Perimeter of Rectangles and Squares Given Vertices
In this area and perimeter worksheet, students find area and perimeter of rectangle and squares given the coordinates of the vertices. Grids are provided for these six problems.
Curated OER
Perimeter and Area of Rectangles (D)
In this perimeter and are of rectangles worksheet, students use their problem solving skills to calculate the perimeter and area of 4 rectangles.
Teach Engineering
Using Map Scales to Figure Distances and Areas
The asteroid is getting closer and the question is whether the state of Alabraska is large enough for the shelter calculated in the previous activity. Teams determine the scale of their project and then use the scale on the map to...
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
Area of Right Triangles
For this are of right triangles worksheet, students read graphs and explore congruent triangles. They find the area of rectangles and of right triangles. This one-page worksheet contains explanations, instructions, and 8...
Curated OER
FOIL method using the area model
In this FOIL method activity, students multiply binomials using the FOIL method and the area model. Students find the area of rectangles to investigate why the FOIL method works. Worked examples are provided.
Curated OER
Area (1)
In this area worksheet, students find the area of compound polygons. This one-page worksheet contains 2 multi-step problems.
Curated OER
Finding Volume of Similar Figures
Upper elementary and middle schoolers examine the Volumes of Similar Figures. They investigate the relationship between corresponding sides and evaluate the volume of similar figures. Pupils record their findings on various activity...
Curated OER
Investigation Area of Geometric Shapes
Fourth graders use triangle paper to design patterns using geometric figures and find the areas of those figures by counting units. Students are assessed by determining which figure has the greatest area and explaining their reasoning.