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Angles, Parallel Lines, and Polygons
Students examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate an...
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Trigonometric Applications Outside the Classroom
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
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Measurement
Students use arithmetic in a practical situation using time and distance.
As the calculations involved in this problem involve single digit addition and multiplication it offers a good opportunity to encourage the students's use of...
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Rings and Diamonds
Fifth graders solve a problem by using systematic problem solving strategies. They determine if there is enough information to solve the problem. They solve a problem involving geometric shapes and area.
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Inventors Unit Survey
Students develop and conduct a survey for their inventors unit. They create a five question survey and tally the survey results, and create a graph using Microsoft Word and Graph Club 2.0.
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Virtual Field Trip / Route, Mileage and Gasoline Cost Graphs
Pupils use a spreadsheet program to graph and compare milage, gasoline costs and travel time for two travel routes in their virtual field trip in Michigan. They determine the most economical route based on the graphs and calculations.
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The X-33 and the X-38
Learners explore the relationships among the lengths, areas, and volumes of similar solids. They also discover what effect doubling the dimensions of a figure has on the resulting area.
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The Box with the Greatest Volume
Students use measurement tools to measure the nearest 16th of an inch. They connect fractions and their decimal equivalents and compare this with other decimals. Finally, the class uses algebraic concepts and formulas to solve problems.
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Trash Pizza
Students identify items commonly sent to landfills and summarize percentages/fractions of different items in landfills Students create a pizza pie graph of landfill components
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Measuring a Mummy Case
Students calculate the size of a mummy case and its contents using ancient Egyptian measurements.
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Mirror, Mirror on the Wall, Who Needs Math in Life at All?
Young scholars think and talk about the ways in which they use math throughout the day. They add each way to a "math in real life" bulletin board and reflect in writing on the ways they use math.
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City Streets in One-Point Perspective
Young scholars examine the basics of drawing forms in one-point perspective, and linear perspective. They transform their drawings into city scenes using one-point perspective.
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Less Than Zero
Pupils examine negative numbers by extending a vertical number line to include numbers less than zero. After playing a game, students watch a Cyberchase video in which the characters try to solve similar problems.
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Space Shapes
Students read "Captain Invincible and the Space Shapes" by Stuart Murphy and view a PowerPoint presentation on shapes. They identify shapes presented in the book and then identify shapes found in their classroom.
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Home: the Story of Maine "A Love for the Land": Where Are You? Who Are You?
Students investigate their neighborhood both as it is now and as it was 100 years ago. They take a walk around their neighborhood and fill out a worksheet before completing a worksheet.
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Lesson 1: The Image of Maine in Sinclair Lewis' Babbitt
Students study excerpts from Sinclair Lewis, "Babbitt" for its accuracy and socio-economic point of view. They rewrite a portion of "Babbit" using the point of view of a Maine guide.
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Olympic Training Center
Students decide on an activity like running, swimming or skating for a performance analysis. They have friends or family members videotape them as they exercise, then review the video to see how they can improve their performance.
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How Does Radon Get In?
Students examine the potential sources of radon entry into homes. They compute the surface area for various objects, create a sketch of their home, calculate the ratio of air leaks to the outside surface area, and conduct a radon audit...
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Black Bayou Lake Measures Up
Students, in groups, estimate measurments and then select the tools needed and measure various items at Black Bayou Lake refuge.
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Water Use Around the World
Pupils compare their water use with other places around the world. They calculate the amount of water they use in a week and discuss how to conserve water. They discover the amount of clean water throughout the world.
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Create a Full-Scale Layout of the International Space Station
Students work together to convert scale dimensions to determine the true size of the International Space Station. They create a full-scale outline of the station. They share their layout with the class.
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Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
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Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
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Squirt Level 3
Students use the instructional activity, "Squirt", to support students' development of multiplicative thinking. Squirt encourages students to anticipate multiplicative measurement relationships, e.g. three measures of A fit in B, by...