Directions: Fill in the boxes below using the digits 1 to 6, at most one time each, to make the largest value for D (the derivative). Source: Chris Luzniak

Read More »# Tag Archives: DOK 3: Strategic Thinking

## Polar and Cartesian form of complex numbers

Directions: Use the digits 1- 9, at most one time each, to fill in the boxes so that the result is as close as possible to the number i. Source: David K Butler

Read More »## Area of Three Triangles

Directions: Use the integers 2 through 10, at most one time each, as lengths of individual sides to form three triangles. What is the smallest total area of the three triangles you can create? What is the largest? Source: Dan Wulf

Read More »## Area of a Triangle in the Coordinate Plane

Directions: Use the digits 0 to 9, at most one time each, to fill in ordered pairs for all three points, such that the area of Triangle ABC is closest to 6 square units. A ( ___, ___ ) B ( ___, ___ ) C ( ___, ___ ) Source: Henry Wadsworth

Read More »## L’Hospital’s Rule Exploration

Directions: Using the digits 1 to 9, at most one time each, create 3 different expressions such that their graphs contains any 2 of the 3 following criteria: 1) Horizontal Asymptote @ y = some positive rational number 2) Slant Asymptote with a slope such that: 1 < m ≤ 2 3) Two Vertical Asymptotes Source: Gregory L. Taylor, Ed.D.

Read More »## Square Root Expression

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to make the following expression as close to 0 as possible. Source: Erick Lee

Read More »## Triangle Sum Theorem

Directions: Using the digits 1-9, at most one time each, to fill in the blanks. Then solve the problem for x. Choose numbers such that the solution for x is a whole number. Source: Franco D. Adkins

Read More »## Adding and Subtracting Integers

Directions: Use the digits 1 to 6, at most one time each, to fill in the boxes so that top two sums are equal and the bottom sum has the greatest value. Source: Kate Nerdypoo

Read More »## Perimeter & Circumference

Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle. Source: Christin Smith

Read More »## Fraction Multiplication Equal to 1

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes so that the three fractions have a product as close to 1 as possible. Source: Patrick Vennebush

Read More »