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.
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...
Concord Consortium
Strings and Areas
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
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...
Illustrative Mathematics
Eight Circles
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
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...
Math Drills
Volume and Surface Area of Rectangular Prisms
Your learners get solid practice calculating the surface area and volume of rectangular prisms with this worksheet. There are ten versions of the activity for their enjoyment, and yours.
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
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...
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Concord Consortium
Area Upgrade
Imagine a world built of triangles. A performance task asks scholars to consider just that. They use their knowledge of special segments of a triangle to make decisions about the area of triangular plots of land.
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Curated OER
Area of a Trapezoid
In this online math worksheet, students 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 difficulties. A...
Curated OER
Online Math Learning: Surface Area of Spheres
In this surface area of spheres worksheet, students solve 4 short answer problems. Students find the surface area of spheres, hemispheres, and cones given a radius or a radius and height.
Curated OER
Area of Figures That Include Circles
In this area worksheet, students calculate the perimeter and area of given complex figures. They determine the area of shaded regions, and find the distance between straight lines. This one-page worksheet contains 4...
Curated OER
Calculating in Construction - Area
In this area worksheet, learners 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.
Curated OER
Area of a Square
In this geometry worksheet, 6th graders find the area of four squares with given measurements. Students use metric units to calculate the area of each given square.
Curated OER
Surface Area of Solids
In this surface area worksheet, students evaluate the surface area of complex solids. This one-page worksheet contains 3 multi-step problems. Answers are provided.
Curated OER
Surface Area of Cone
In this geometry worksheet, 10th graders calculate the surface area of a cone given the radius and height. There are 8 questions with an answer key.
Curated OER
Calculate the Area
In this area of a circle worksheet, 6th graders must calculate the area of 5 circles given either the radius or diameter. Students must write the area on the line provided and a blank space is provided for students to work out the...
Curated OER
Area of a Circle Worksheet
For this geometry worksheet, 6th graders identify the area of the four given circles by using the given diameters. There is a space for students to show their work.
Curated OER
Area of Shapes
In this area of shapes worksheet, students determine the area of equilateral triangles, acute triangles, and compound figures. This one-page worksheet contains 3 multi-step problems. Answers are provided with this interactive...
Curated OER
Find the Area of Four Shaded Figures that Include Circles
In this area activity, learners calculate the area of four figures that each include circles. Students can check their answers and get hint by clicking on the "Check" or "Hint" button at the bottom of the page.
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