Tag Archives: DOK 3: Strategic Thinking

Constructing a Nondifferentiable Function

Directions: Using the digits -9 to 9, at most two times each, place a digit in each box so that the function is nondifferentiable at the given x value. Extension: Can you make the function continuous but nondifferentiable? Source: Owen Kaplinsky

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Composite Volume

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the statement true. The composite figure is made of a rectangular prism and a rectangular pyramid; the base for each is congruent. All dimensions must be greater than zero. Source: Jedidiah Butler

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Average Rate of Change

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box to make the equations true. Source: Owen Kaplinsky

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Solving Two-Step Equations

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equations true. Source: Michele Dijkstra

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Reciprocal Fractions

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the maximum possible value of the expression given. Source: Jacob Johanssen

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Sums with the Same Digit (Decimal Addition)

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to find a sum where all the digits are the same. What is the greatest sum? What is the least sum? Source: Elizabeth Trochil

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Closest Quotient to 250

Directions: Using the digits 2 to 9, at most one time each, place a digit in each box to find the closest quotient to 250. Source: Jessica Goree

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