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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...
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
The Circumference of a Circle and the Area of the Region it Encloses
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
Curated OER
The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Curated OER
Mapping the Bone Field: An Area and Scale Exercise
Here is an excellent cross-curricular activity. Learners relate multiplication to area by making a grid on graph paper, and then creating the same grid in real space outside in the school yard.
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine the...
Curated OER
ExplorA-Pond: 6th Grade Area and Random Number Tables
Sixth graders estimate surface area of a pond using a random number table.
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...
PBS
Garden Grade 6 Area and Perimeter
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...
Curated OER
Location, Location, Location: Using a Grid to Determine Context
Seventh graders are introduced to making inferences about artifacts. Using a grid system, they locate the artifacts and determine where they originated from. They use this information to make conclusions about the way people lived...
Curated OER
Area Applet
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
National Wildlife Federation
Quantifying Land Changes Over Time Using Landsat
"Humans have become a geologic agent comparable to erosion and [volcanic] eruptions ..." Paul J. Crutzen, a Nobel Prize-winning atmospheric chemist. Using Landsat imagery, scholars create a grid showing land use type, such as urban,...
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-lesson series supports children with learning how to measure the area of squares, rectangles, and other...
Curated OER
Maximize area
For this subscription-based activity, algebra learners model changes in the length and width of a rectangle to determine the maximum area possible for a given perimeter and solve several application problems involving area, included in...
PBS
Arguing over Area
With the help of the Area Officers and Perimeter Patrol, you learners will develop a better understanding of area and its relationship to perimeter. First, they view a video clip from Cyberchase, and then they visit a website to...
Alabama Learning Exchange
Polygons-Changing Area Versus Changing Perimeter
Investigate the area and perimeter of polygons in this geometry lesson. Young geometers use grid paper to draw a quadrilateral and calculate its area and perimeter. They also read The Greedy Triangle to identify the changing shape of...
Pennsylvania Department of Education
Volume and Surface Area
Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...
Curated OER
Multiplication and Areas
Upper graders solve problems involving measurement of squares and rectangles to practice multiplication skills, finding area, and calculating prices and percentages. A performance assessment is included.
Curated OER
Rectangular Gardens Within A Given Perimeter
Sixth graders design rectangular gardens with a given perimeter and generalize how to maximize the area Students applying the formulas for perimeter and area of polygons. They analyze length, area, and volume and make relationships...
Virginia Department of Education
Pythagorean Theorem
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
Curated OER
Lesson 9-3 Practice A: Composite Figures
In this composite figures worksheet, students solve twelve short answer problems. Students find the area of figures composed of various polygons given a sketch of the figure with side lengths labeled.
Curated OER
Explore Surface Types on a Journey Around Earth
Learners explore satellite data. For this technology cross-curriculum math and world geography lesson, students locate specific map areas using a microset of satellite data. Learners use technology and math skills to determine...
National Gallery of Canada
The Tools of Perspective
Make a study of perspective in the real world. Learners examine and discuss works of art that show examples of perspective before trying their own hands at it. Using a grid drawn on transparent paper, class members transfer a view from a...