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Problem Solving in Mathematics

For Teachers 7th
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
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Mathematics: The Star of David

For Teachers 6th
Sixth graders determine the number of triangles in the Star of David.
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Classroom Menagerie of Mathematical Knots

For Teachers 6th - 8th
Young scholars explore the relationship between knot diagrams and physical knots. They practice making trefoil knots and then select several others to try from the provided diagrams. Finally, they discuss the techniques they used and...
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Writing Directions for Mathematical Activities

For Teachers 5th
Fifth graders reorganize comic strips to have them make sense, complete outline and organize their thoughts into outline form to explain directions, and use that outline to complete their own directions for geometry activities.
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"The Rajah's Rice: A Mathematical Folktale from India" adapted by David Barry

For Teachers 6th - 8th
Students use large numbers and learn exponential representation and explain patterns and relations of powers of 2.
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Mathematics of Fair Games

For Teachers 4th - 5th
Students 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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Comparing Notes: a Mathematical Exploration of the Piano

For Teachers 7th - 12th
Students examine the history of equal temperament, the modern standard of tuning a piano. Proportion calculations of octaves and perfect fifths are utilized to calculate the frequency of each note in a major scale.
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Mathematical Baseball

For Teachers 2nd
Second graders, divided into two teams, with the "pitch" being an addition or subtraction problem. If the "batter" answers correctly before the "catcher," the student runs to first base. f the catcher answers first, the batter is out.
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Mathematical Relationships

For Teachers 8th - 9th
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
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Mathematics

For Teachers 12th
Twelfth graders explore a variation of proof. For this geometry lesson, 12th graders apply their knowledge of proof to different scenario. They use 3 different tiers to advance through the lesson.
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Button Sort - Cross Reference #607, Literature (Elementary, Mathematics)

For Teachers 3rd - 5th
Young scholars write free flowing thoughts and feelings in their journals. They practice observation skills. They write using adjectives to describe an object. They choose a special button from among many unusual buttons.
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Energy Conservation (Middle, Mathematics)

For Teachers 6th - 8th
Middle schoolers take turns reading the electric meter six times a day at regularly scheduled intervals. They figure out the amount of electricity used and then determine the total cost of electricity for the week.
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High School Mathematics Problems from Alaska: Jesse Thomas Moose Hide Problem

For Teachers 9th - 12th
Students solve problems about a student earning money for college by tanning moose hides.
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High School Mathematics Problems from Alaska: Converting the Date to the Day of the Year

For Teachers 9th - 12th
Learners focus on converting the date to the day of the year to use to solve problems.
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High School Mathematics Problems from Alaska: Problem Setup and Pattern Recognition: Sunrise in Barrow, Alaska

For Teachers 9th - 12th
Young scholars make predictions using given data, writing a linear equation from given data, and using a linear equation to predict later behavior.
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High School Mathematics Problems from Alaska: Writing an Equation: Fundraiser

For Teachers 9th - 12th
Learners represent relationships between variables by writing, creating, and solving linear equations, and using tables and graphing.
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High School Mathematics Problems from Alaska: Stanley Jonas Travel Problem

For Teachers 9th - 12th
Students convert from one system of linear measure to another, graphing data from a table to a coordinate graph, using a graph to make predictions.
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High School Mathematics Problems from Alaska: Tourist and Traveler Information

For Teachers 9th - 12th
Students work with monetary exchange rates and the metric system as they simulate working to help tourists travel through Canada to Alaska.
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High School Mathematics Problems from Alaska: Extensions of Data: Barrow, Alaska Sunrise/Sunset Information

For Teachers 9th - 12th
Students using given data to extrapolate new information, using a linear equation to predict later behavior, and using previous knowledge to synthesize new conjectures.
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High School Mathematics Problems from Alaska: Writing an Equation: Altitude Range vs. Day in Barrow, Alaska

For Teachers 9th - 12th
Students answer questions about the altitude range of the sun over time in Barrow, Alaska.
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High School Mathematics Problems from Alaska: Azimuth and Arc Length

For Teachers 9th - 12th
Young scholars track the Azimuth sunrise and sunset over time by creating a chart.
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High School Mathematics Problems from Alaska: Investigation of Herring Statistics

For Teachers 9th - 12th
Students read complex charts, find measures of central tendency, calculate large numbers, create histograms and box plots. They answer questions using the "Fisherman's Copy" of statistics.
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Mathematics: It's a Wrap!

For Teachers 9th - 12th
Students calculate the amount of wrapping paper needed to wrap boxes. They describe how they determined their answers.
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Mathematical Models with Applications: What's Your Rate of Change?

For Teachers 8th - 12th
Students use regression methods available through technology to select the most appropriate model to describe collected data and use the model to interpret information. They use numeric techniques to write the equation of a line that...

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