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...
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Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry lesson, young scholars calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent shapes....
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Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are...
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Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
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Changing Twines: Exploring Area and Perimeter
Third graders review formulas for area and perimeter in quadrilaterals. They arrange pre-cut twine on a centimeter graph paper to create non-congruent quadrilaterals. They calculate the perimeter and area of each form.
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Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
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Is There Mystery in Measurement?
Investigate perimeter and area of polygons! In this measurement lesson, learners use index cards to create rectangles and trace their hand to estimate its area and perimeter.
National Gallery of Canada
The Changing Composition
Play with dimensions and practice making a two-dimensional scene look three-dimensional. Class members view pieces of art and then make their own scenes by layering different materials and drawing in details. Check out all the tabs for...
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Effect on Surface Area and Volume
Students identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They discuss...
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Double, Double: Looking at the Effect of Change on Perimeter, Area and Volume
Students explore perimeter, volume, and area. In this math lesson, students explore how changes in dimensions of geometric shapes affect the perimeter, area and volume of the various shapes. Students investigate the results when the...
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Perimeter and Area
Fifth graders identify the area and perimeter of a rectangle. In this perimeter lesson, 5th graders use geoboards and rubber bands to construct various rectangles. Students use the formula to calculate area and perimeter of the...
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Area and Perimeter Relationships
Sixth graders explore the relationship between area and perimeter. After discovering the definition of perimeter, 6th graders work together to create designs for a flower bed. They observe that the perimeter remains constant even...
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Dream House
Students solve real world problems involving area and perimeter in this unit culminating activity.
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Linear, Square, and Cubic Units
Linear, square, and cubic units are all investigated as different types of packages are measured. The teacher will need supplies such as a box of aluminum foil, a package of ribbon, and a bag of mulch. The class determines the...
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Tantalizing Tangrams
Students explore "area." In this tangram geometry and measurement lesson, students arrange tangram pieces to find the area of characters presented in a story they listen to on a website. Website information and related...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
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Area and Measurements
Students measure the area using feet and yard. For this algebra lesson, students draw and manipulate shapes to calculate the area. They measure the relationship of area between the two units.
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Problem Based Learning Scenario
Young scholars research about the function of MPA's. In this marine science lesson, students explore how humans influence changes near these areas. They explore different MPA's in the Great Lakes region.
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
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Bubbles Everywhere!
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This lesson is a fun way to practice measurement and circle and...
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Color Your World
Students calculate the cost of painting a room. In this surface area lesson, students create a scale model from provided dimensions of a bedroom. Groups use area formulas to find square footage, from which materials and labor costs are...
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Sports Franchises: The Demographic Dimension
Students examine how U.S. population patterns have changed over time. Using the growth of major league baseball to illustrate these patterns, students create maps, examine regional migration patterns, and make predictions for the future.
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Minimize Perimeter
Pupils use the graph and equation of a perimeter function to find characteristics that minimizes the perimeter of a rectangle. They comprehend that in business situations, such as packaging and city planning, minimizing perimeter is an...