## Clothes Shopping

Determine which outfit is cheaper in the long run.

## Bouncing Ball

Determine how high a ball rebounds with each bounce.

## Supper with Skiing

Determine the cost of dinner included in a package deal offered by a ski resort.

## Arranging Toothpicks

What is the total number of toothpicks used to build a rectangular grid?

## Efficient Fencing

Build a fence that will maximize a region surrounded by a natural boundary.

## Intersecting Functions

Explore various cases about the intersections of a linear and quadratic function.

## End Behavior

Examine criteria for producing functions with converging or diverging end behavior.

## Moving Parabolas

Generalize the effects on the roots and minimum when modifying a coefficient of a function in the form ## Coefficients that Affect the Graph

Observe changes in functions as you modify their coefficients.

## Multiple Inequalities

Identify linear inequalities that determine a predesignated solution.

## Multiple Solutions

Find the set of solutions of a system of two equations with three variables.

## Equation of a Tangent

Find the general equation of a line that touches, but does not pass through, a parabola.

## Modifying the Slope and the Y-Intercept

Examine the changes of a function as the slope and y-intercept of a linear function are modified.

## Altitude to the Hypotenuse

Investigate the relationship between sides of right triangles when an altitude is drawn to the hypotenuse of a right triangle.

## Gretel’s Goldfish

When will Hansel and Gretel have the same number of goldfish?