## Travel of Ant Z on a Parabola

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?

## Approximate with Technology: Trisecting Angle

Determine how a trisection of an angle can be approximated using geometry software.

## Intersecting Lines

Determine how many different possibilities exist for the number of points of intersection of nineteen lines.

## Mining through Coordinates

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!

## Globs

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.”

## Rotating Coordinates

State the new location of (x,y) after rotating it a certain number of degrees.

## Splitting Areas

Describe the relationship between two areas in a given triangle.

## Mean Vertex

Determine the location of a point inside a quadrilateral.

## Finding the Midpoint

How do the coordinates of a midpoint of a segment relate to the coordinates of the endpoints?

## Twice Reflecting over Parallel Lines

Find the distance between two points reflected over parallel lines.

## Dilating Coordinates

What happens when you multiply both coordinates of a point by the same number and then plot this new point?

## Specific Slopes

Determine the relationships of the slopes of parallel and perpendicular lines.

## Reflecting Coordinates

What line can you reflect the point (x,y) about in order to end up at various positions?

## As the Crow Travels

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?

## Map Coloring

Color a map of a continent with many countries so that no two bordering countries are the same color.

## Different Measures of Center

Find a data set that has a median larger than its mean, and a mean larger than its mode.

## Drinking Coca-Cola

Determine the number of people in an initial sample of people who taste tested soft drinks.

## Popular Movies

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.

## Counting M&M’s

Describe the distribution of colors in a bag of M&M’s.

## Temperature Comparisons

Is Fahrenheit vs. Celsius a linear, exponential, or quadratic relationship?

## Continuing a Pattern

Describe what happens on a graph if you continue the pattern shown in the table of values.

## Labeling a Graph

What could the x- and y-axis on the given graph represent in the “real world”?

## Holy Graphs

You are given a quadratic equation divided by a linear equation. Determine why the graph appears the way it does.

## Late to School

Draw a distance vs. time graph to describe a given scenario.