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

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

Negative Exponents – Closest to Zero

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to make a result that is as close to zero as possible. Source: Daniel Luevanos

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

Directions: Use the digits 1-9 each once to make a the largest possible sum. Source: Robert Kaplinsky and Ellen Metzger

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

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

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