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Exploring Length and Perimeter
Sixth graders determine the perimeter of geometric shapes with a grid at technology based resource. While looking at figures on an overhead, they determine how much border they would need to go around a figure. They also complete...
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Measurement: Lesson 2
Fourth graders find the perimeter of a geometric shape by adding the lengths of the sides. They find the area of a square or rectangle by counting square units. Students use multiplication to find the area of a rectangle. They estimate...
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Cube Models
Sixth graders are introduced to the concepts of area and volume. In groups, they work together to build models of square centimeters in which they are given no instructions. To end the lesson, they record the dimensions of each model...
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Area Between Two Curves
Learners investigate the concept area that is found between two curves. They find the area in the top and bottom curve and then examine the differences. The examples can be used for direct instruction and to provide a guide for helping...
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Area Between Two Curves
Students engage in a lesson that is concerned with the concept of computing the area between 2 curves with respect to the x and y axis. They concentrate on using positive and negative intervals and find the curve while determining the...
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Area Under A Curve
Students investigate the concept of finding the areas under curves while examining the graphing for inscribed and circumscribed rectangles. Finally, students compute the area under the curve by using the left-hand endpoints. The examples...
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Estimating Area
Fifth graders, after being given a variety of word problems to solve, find patterns to solving 3 out of 4 times. They break it down into smaller parts 3 out of 4 times and tell the method of solving 3 out of 4 times. Students complete...
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Lesson #94 Exact Area Under A Curve
Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...
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Discovering the Area and Perimeter of Triangles
Eighth graders identify how to find the area and perimeter of rectangles and triangles. They discuss their understanding of area and perimeter and how the two concepts are applied in the real world. Finally, 8th graders determine the...
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EUREKA! Living Room Redecoration
Tenth graders calculate area and perimeter based on the dimensions of a living room. They use these calculations to respond to questions about supplies needed for painting and carpeting the room. Students use math to solve problems and...
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How Big is a Crowd?
Sixth graders compare the relative sizes of the five Great Lakes and their human populations. They describe some of the problems that arise when many people depend on a limited resoure. Students discuss how the Great Lakes and the...
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Mathematics Within: Algebraic Patterns
Students analyze problem solving techniques for equations with variables by playing a game called "Smackdown". They place variable cards on a grid and use the area model to calculate an answer after spinning a game piece to determine the...
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Area And Perimeter
Fourth graders investigate the concepts of area and perimeter, and they practice finding the values in various types of situations. They construct different representations of shapes using the area measurements and also explain the...
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Area And Perimeter
Fifth graders practice the skills of finding the perimeter and area of different objects. They integrate technology tools by using a computer software program during the class as the second half of an assessment of measuring student...
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Measures of Space I: Lengths and Areas
Students discover how to measure in one and two dimensional space and calculate how much space any object of a given dimension occupies. After a discussion about dimensions, students work with Zome System Creator Kits to build one and...
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Fashion Day
Eighth graders practice using basic measurements to solve word problems.They also investigate finding the perimeter of different polygons and define the characteristics to classify the shape as a polygon.
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Russian Boxes
Sixth graders find the scale factors for length, area and volume. They identify the center point of an enlargement and place similar objects to show a negative enlargement. They report the results of an exploration of scale factors in a...
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From a Square to a Rectangle
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...
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Moving On: Octagoning the Circle
Learners explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
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Karen's Tiles
Students investigate how perimeter changes as area changes to see the relation between area and perimeter for similar shapes. They then students answer the question if the area of the rectangle increase, does its perimeter have to increase?
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Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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The Old Chicken Run Problem
Sixth graders apply problem solving strategies to work with a real life situation in which they need to determine the area. They determine the area of chicken runs that are rectangular in shape when give a partial perimeter.
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Prints and Outlines
Students determine the area of two objects by superimposing one on the other. They compare and order the area of different shapes by covering a larger shape with similar smaller ones. They complete these activities as different stations.
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How much room?
Students examine the amount of usable space that exists in their classroom using square meters and square centimeters. They apply the information to predict the ideal size of a classroom.