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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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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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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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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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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Two Rectangles In Two Rectangles students will use two different strategies to solve for the area of a rectangle. This task includes: |
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