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...
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.Â
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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.
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
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 practicing...
Curated OER
A Practical Application For Area
First graders investigate the concept of surface area and find the coverage for the surfaces in a building that includes carpet or walls. The application of finding the area is practical using the everyday objects to help them to make...
Curated OER
Geometry: Area, Scale Factor, Circumference
In this geometry worksheet, students solve 10 problems regarding area, scale factors, and circumference. Students, in 3 of the problems, are given the circumference and asked to work backwards to find missing information.
Curated OER
Area and Volume
Use this geometry review worksheet to have learners complete nine problems involving transformations, area, volume, and unit conversions. They answer one multiple choice question on estimating lengths.
Curated OER
Measure: Perimeter, Area and Volume
Students practice measuring with formulas. In this measurement lesson, students complete an activity that requires them to calculate perimeter, area, and volume.
Curated OER
Area Formulas
Students use the area formula for a rectangle to identify the area formulas for triangles, parallelograms, and trapezoids. In groups they complete a variety of worksheets, and examine irregular figures whose areas can be determined by...
Curated OER
Geometry of Triangles - Week 6
In this triangle worksheet, students explore the characteristics of triangles. They find the area of a pentagon, lengths of the sides of a triangle and the area of a quadrilateral. This two-page worksheet contains seven problems.
Curated OER
Nets And Surface Area
Upper graders investigate how to find the surface area when using two-dimensional shapes. They conduct an investigation in groups while working sample problems given during class discussion with the teacher. They also review how to...
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...
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.
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.
Curated OER
Perimeter & Area Worksheet I
For this perimeter and area worksheet, learners 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
The Luxor - Pyramids, Surface Area & Volume
Students investigate the surface area and volume of the Luxor Hotel in Las Vegas. They calculate the slant height, lateral edge, and diagonal length of the base. Using this information, students explore other areas of the hotel, such as...
Curated OER
Perimeter and Area Worksheet II
In this perimeter and area worksheet, students 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
Acute Triangles
Learners study acute triangles. They measure angles using a protractor, then classify the triangles as either right, obtuse, or acute. Everyone creates a design for a Navajo rug using only acute triangles.
Curated OER
Volume and Surface Area
Students explore volume and surface area. In this math lesson, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
Curated OER
Area of Polygons
Students engage in a lesson plan that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson plan in order to solve problems given by the teacher for independent practice. Geometric...
Curated OER
Length, Perimeter, and Area
Students explore the concepts of length, perimeter, and area. In this math lesson, students use Shape Explorer to practice finding length, perimeter, and area.
Curated OER
Area And Perimeter Using Pentominoes
Third graders engage in an enrichment lesson exploring the concepts of area and perimeter. They construct new pentominoes that are 3 times the size of normal ones and then identify the area and perimeter measurements. They then create a...
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