Tag Archives: DOK 3: Strategic Thinking

Maximum Volume of a Cylinder

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to give this cylinder the maximum volume possible. Source: Kyle Leinweber

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Three Digit Integer Sums

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the second greatest solution. Source: Neil Hamilton

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Equations of Circles 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a circle and a point on the circle with the point being as close to the origin as possible. Source: Robert Kaplinsky

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Trinomial Function Features 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a function with the corresponding range and roots that are as close together as possible. The closest the two roots can be to each other that has been found so far is 2 from the equation: y = 1x^2 + 6x + …

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Polynomial Function Features 2

Directions: Using the integers -9 to 9, at most two times each, fill in the boxes to create a polynomial function with matching roots that have the least range possible. Source: Robert Kaplinsky

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Logarithmic Function Features 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a logarithmic function with the greatest possible y-intercept. Source: Robert Kaplinsky

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Exponential Function Features 2

Directions: Use the integers -9 to 9, at most two times each, fill in the boxes to create an exponential growth function with the greatest possible y-intercept. Source: Robert Kaplinsky

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Square Root Function Features 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a square root function, its domain, and the greatest possible x-intercept. Source: Robert Kaplinsky

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Rational Function Features 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a rational function, its vertical asymptote, and the greatest possible solution. Source: Robert Kaplinsky

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