Altitude to the Hypotenuse: Investigate the relationship between sides of right triangles when an altitude is drawn to the hypotenuse of a right triangle.
Modifying the Slope and Y-Intercept: Examine the changes of a function as the slope and y-intercept of a linear function are modified.
Equation of a Tangent: Find the general equation of a line that touches, but does not pass through, a parabola.
Multiple Solutions: Find the set of solutions of a system of two equations with three variables.
Multiple Inequalities: Identify linear inequalities that determine a predesignated solution.
Coefficients that Affect the Graph: Observe changes in functions as you modify their coefficients.
Moving Parabolas: Generalize the effects on the roots and minimum when modifying a coefficient of a function in the form y = 6x2 + bx.
End Behavior: Examine criteria for producing functions with converging or diverging end behavior.
Intersecting Functions: Explore various cases about the intersections of a linear and quadratic function.
Efficient Fencing: Build a fence that will maximize a region surrounded by a natural boundary.
Arranging Toothpicks: What is the total number of toothpicks used to build a rectangular grid?
Supper with Skiing: Determine the cost of dinner included in a package deal offered by a ski resort.
Gretel's Goldfish: When will Hansel and Gretel have the same number of goldfish?
Bouncing Ball: Determine how high a ball rebounds with each bounce.
Clothes Shopping: Determine which outfit is cheaper in the long run.
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