Tag Archives: DOK 3: Strategic Thinking

Compound Inequalities 1

Directions: Using the digits 1 to 9, at most one time each, make a compound inequality that has the largest interval. Source: Robert Kaplinsky

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Parallel and Perpendicular Lines

Directions: Using the digits 0 to 9, at most once each time, fill in blanks to create a set of 4 points that create either parallel or perpendicular lines, depending on how you connect them. ( ___, ___ ) ( ___, ___ ) ( ___, ___ ) ( ___, ___ ) Source: Bryan Anderson

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Discriminant

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make one function have no real roots, another function have one real root, and the last function have two real roots. Source: Lynda Chung

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Sum of Fractions Closest to 10

Directions: Using the digits 1 through 9, at most one time each, fill in the boxes to make the statement true. Source: Nanette Johnson, based on Giselle Garcia’s problem

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Max Intercept

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to write the equation of a line that passes through the point with the largest possible y-intercept. How many solutions can you find?   Source: Andy Schwen

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Pythagorean Theorem 2

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to find the lengths of the missing sides such that the missing leg’s length is as long as possible. Source: Robert Kaplinsky

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Comparing Fractions 2

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create a fraction that is as close to 5/11 as possible. Source: Robert Kaplinsky

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Operations with Time

Directions: Use the digits 1 to 9 at most one time each, place a digit in each box to make the latest possible time. Source: Robert Kaplinsky

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