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## 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

## Box Plots

Directions: Use the digits 1 to ,9 at most once each, to fill in the blanks to represent a data set with: a.The smallest possible interquartile range, largest possible range, and that is skewed right b. An interquartile range greater than 5, range that is greater than 7, and that is skewed left Source: Kerri Swails, Mark Alvaro

## Ten Frame Challenge

Directions: I have a horizontal ten-frame that has some counters on it. One row of the frame is full and one is not. What is the largest number I could make? What is the smallest number I could make? Source: Elizabeth Brandenburg

## Pythagorean Inequality

Directions: Use the whole numbers 1 through 6, at most one time each, to find three side lengths that are two-digits each and form an acute triangle. Source: Samantha Cruz

## 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

## 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

## Creating Sequences

Directions: Using the digits 0-9, at most one time each, complete the first three terms of the arithmetic and geometric sequences. What sequences result in the greatest sum of their second terms? (e.g. 3, 5, 7 and 2, 6, 18 would result in a sum of 5 + 6 = 11). What sequences result in the least sum of their …

## Derivative of e

Directions: Using the digits 1-6, at most one time each, create an exponential function of base e whose derivative at x = 3 is 2. Source: Christine Relleva