Ant Z wants to go from the point (-1,1) to the point (2,4) by staying on the curve y = x2. How long is the distance Ant Z travels on this portion of the curve?
Determine how a trisection of an angle can be approximated using geometry software.
Determine how many different possibilities exist for the number of points of intersection of nineteen lines.
Cross a mine field in a coordinate plane without hitting any of the mines.
Play the game of “Battleship” by placing your ships in the coordinate plane. The first person to lose all of their ships has to surrender to defeat!
Write the formula for a function that will cross as many globs as possible. Graph to see how many globs are crossed over, or “smashed.”
State the new location of (x,y) after rotating it a certain number of degrees.
Describe the relationship between two areas in a given triangle.
Determine the location of a point inside a quadrilateral.
How do the coordinates of a midpoint of a segment relate to the coordinates of the endpoints?
Find the distance between two points reflected over parallel lines.
What happens when you multiply both coordinates of a point by the same number and then plot this new point?
Determine the relationships of the slopes of parallel and perpendicular lines.
What line can you reflect the point (x,y) about in order to end up at various positions?
Can you devise a strategy so that the distance you travel in a car is exactly twice the distance that a crow flies, yet you both start at the same spot and end up at the same spot?
Color a map of a continent with many countries so that no two bordering countries are the same color.
Find a data set that has a median larger than its mean, and a mean larger than its mode.
Determine the number of people in an initial sample of people who taste tested soft drinks.
Compare 1) the weekend total for the top ten movies at the theater, and 2) the total gross for the top ten movies at the theater.
Describe the distribution of colors in a bag of M&M’s.
Is Fahrenheit vs. Celsius a linear, exponential, or quadratic relationship?
Describe what happens on a graph if you continue the pattern shown in the table of values.
What could the x- and y-axis on the given graph represent in the “real world”?
You are given a quadratic equation divided by a linear equation. Determine why the graph appears the way it does.
Draw a distance vs. time graph to describe a given scenario.