Home > Tag Archives: DOK 3: Strategic Thinking

Tag Archives: DOK 3: Strategic Thinking

Using 1/2 as a Benchmark

Directions: Using the digits 1 through 9 only one time each, fill in the blanks to make true statements. For the fraction less than 1/2, try to make the greatest number possible. For the fraction greater than 1/2, try to make the least number possible. Source: Alyson Eaglen

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Largest Possible GCF #2

Directions: Using the digits 0-9 at most once, fill in the boxes to make the largest possible greatest common factor. Source: Howie Hua

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Smallest Possible LCM

Directions: Using the digits 0-9 at most once, fill in the boxes to make the smallest possible least common multiple. Source: Howie Hua

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Largest Possible GCF

Directions: Using the digits 0-9 at most once, fill in the boxes to make the largest possible greatest common factor. Source: Howie Hua

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Minimize Slope

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that minimizes the slope of the line that passes through the two points. The slope cannot be undefined. Source: Nanette Johnson (Problem Based on Andrew Constantinescu’s Problem) and Andrew Constantinescu

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Maximize Slope

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that maximizes the slope of the line that passes through the two points. The slope cannot be undefined. Source: Andrew Constantinescu

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Decimal Division

Directions: Using the digits 0 through 9, without repeating any digits, find the quotient closest to 1. Source: Michael Dennis

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Multiplying Differences 2

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to make a product that’s as close to 50 as possible. Source: Owen Kaplinsky

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