Please note that many tasks were constructed prior to Common Core and the task alignments to the Common Core State Standards (CCSS) were not identified in the task materials. To search for the performance tasks explicitly aligned to the CCSS, Next Generation Science Standards (NGSS), or College, Career, and Civic Life (C3) Framework for Social Studies State Standards, please go to CCSS, NGSS, and C3 tabs.
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Cooling Colas In Cooling Colas, students predict how long it will take cola to cool down to the desired temperature. This task includes:
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Extending the Enneagon In Extending the Enneagon, students determine the meaure of an angle formed by extending two sides of an enneagon until they intersect. Elements of this problem are explored in Grade 7, when students “Use facts about supplementary, complementary, vertical, and adjacent angles in a multi- step problem to write and solve simple equations for an unknown angle in a figure.” Combining those concepts with properties of regular polygons is more likely tackled in high school. This task includes:
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Field Trip In Field Trip students will write an equation or system of equations that winds up leading to solving a quadratic equation. While one of two quadratic equations is likely to result, both are factorable, and the hope is that students will solve by factoring rather than relying on their calculators to crank out the quadratic formula. task includes:
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Flying High In Flying High, students try to figure out which of two airplanes is gaining altitude more quickly. A key to the problem is picking a good representation for the situation. This task includes:
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Math Club Mystery In Math Club Mystery students are asked to find out how many students, teachers and parents went on a trip to the movies. The key concept is to set up equations that represent the given information and use those equations to determine, from the given information the possible combinations of students, teachers and parents that were on the trip. This task includes:
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Regional Ratios In Regional Ratios, students find the ratio of the area of a hexagon to that of an equilateral triangle when the perimeters of the two figures are the same. It might be solved by directly calculating the areas using shape-specific area formulas, calculating the areas using the Pythagorean theorem or the properties of 30-60-90 right triangles, or by dissecting the shapes into smaller equilateral triangles. This task includes:
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Regional Ratios In Regional Ratios students will create a list of all of the mathematical information and relationships they notice and everything they are wondering about a problem prompt relating a hexagon and triangle. This task includes: |
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Slippery Slope In Slippery Slope students graph the linear equation that passes through given points. They will then respond to questions about the graph. This task includes: |
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Squares Inside Squares In Squares Inside Squares students will find the perimeter of three squares using their understanding of special triangles. This task includes: |
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The Bouncing Ball In The Bouncing Ball students will explore the idea of exponential decay, and even students who are not yet familiar with the general exponential function should be able to come up with it as they work through the steps of the problem This task includes:
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