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Mathematics of Fair Games
Pupils study about mathematicians' notion of fairness in games of chance. They work in pairs to perform three different experiments using macaroni and paper bags. They record their results on charts and discuss the fairness of the games.
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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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What Does Average Look Like?
Fifth graders, in groups, study the concepts of range, median, mode, and mean through the use of graphs drawn from models. They use manipulatives to represent data that they have collected within groups.
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Chasing Shapes
Fifth graders sit in a circle and are given geometric attributes, i.e. four equal sides, etc. They run around the circle when a shape is called that corrolates to their attributes. They try to tag other students also running around the...
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Flag Folding
Students study the effects of combining, subdividing, and changing basic shapes to figure out the official method for folding the US flag. They complete a prediction sheet to determine how to get the flag folded so that only the blue...
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Around The World
Students search the Internet through a sequence of steps to reach the country of their nationality. They research and collect information about their country.
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Reflection of Light With Two Plane Mirrors- Double Mirrors Placed at a Number of Angles
Students place two plane mirrors at different angles to experiment with reflection. They make kaleidoscopes and periscopes.
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Math and Science in a Wetland
Students describe safe practice when doing field and lab investigations in a estuary or wetland. They create a model of an estuary and describe their value and function. They participate in field study in which they collect and analyze...
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Mapping an Artifact
Students copy a present day artifact onto graph paper. In groups, they decide the scale of the drawing and create the picture using specific graphing points. They are also given photographs in which there are no graphing points and they...
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Math Can Be Mean!
Fifth graders are introduced to the topic of means. Calculating the mean, mode and median, they describe what each set of numbers tell and do not tell about the data. They use a line graph to practice finding the mean. They also use...
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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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Strawberry Milk
Young scholars work in groups or alone to solve the problem. They use a systematic approach to get all possible answers. They report back to the class with solutions. They may extend their studying using a crate with room for 9 bottles.
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Triangular Numbers
Students are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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Counting Pills
Students are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
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Peter's String
Students are introduced to the math problem and consider how they could approach it. In pairs, students investigate Peter's conjecture in any way they see fit. They then share their answers with the class.
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Richard's Dice
Students problem solve logic problems. They complete a worksheet using dice as a manipulative. They decide on a problem solving strategy, solve the problem, and write up the solution.
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The Tiled Courtyard
Fifth graders use the guess and check technique to solve a problem involving transformations. They work with a grid and criteria provided by the teacher to solve a sequence with black and white rows.
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Chances Are: Talking Probability
Students explore probability and the process of data analysis and predictions. They participate in two activities, one involving a calculator and one the Internet, in which they make predictions and conduct activities to test their...
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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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A RealSim Surface Look at Descriptive Statistics
Students explore the concepts of mean and variance. They observe properties of materials to their basic atomic or molecular structure. Students use spreadsheet software to record, tabulate and analyze collected information.
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It's Your Choice
Students compare data and determine the appropriate way to organize the data. They use physical graphs, pictographs, and symbolic graphs to display their data. In addition, they complete a Venn diagram.
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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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Folding Paper
Young scholars use the scientific process and their knowledge to obeserve, predict, and test their predictions under controlled conditions to verify their predictions and then make sense of these predictions. They also graph, write...
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Save Our Soil
Students gain an understanding of the small amount of soil available to sustain humans on earth and complete an appropriate graph or chart from their collected data. They locate some of the countries they have heard about where people do...
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