Pizza Pizzazz

Thomas complains the prices of pizzas at a restaurant are unfair. Why?

Wheeling Along

Determine the number of times a smaller wheel must revolve before a larger wheel begins rolling if the wheels will eventually meet under certain conditions.

Tangent Lines to a Circle

How does a tangent line relate to the radius that intersects the tangent line?

Packing Circles

Investigate how many circles you can pack inside a square.

Locus of Reflection

Trace the path of a reflected point to determine a pattern and the reason the pattern occurs.

Inscribed Parallelogram

What must be true about a parallelogram that is inscribed in a circle?

Quarter-Circle Spiral

What relationships can you find between the radii of quarter circles?

Equidistant Chords

Determine the relationship between two segments that have endpoints on a circle if the segments are the same perpendicular distance away from the center of the circle.

Passing thru the Center

What is the relationship between two circles relate that pass through each other’s centers?

Perpendicular Bisectors

Describe the significance of the perpendicular bisectors of two segments that have endpoints on a given circle.

Inscribed in a Triangle

Construct a circle inscribed in a triangle so that it will always remain inscribed in the triangle.

Inscribed in a Semi-Circle

Examine the angles inscribed in a semicircle.

Opposite Angles

Find a relationship between the opposite angles in a quadrilateral inscribed in a circle.

Squaring the Circumference

Find a method that will construct a square that has the same perimeter as the circumference of a given circle.

Grazing for Mooey

How many square meters of grazing ground does Mooey the cow have?

The Bicycle Problem

Compare the radius of a bicycle wheel to the number of revolutions the wheel makes.

Running in Circles

Can Peanut the dog get a drink of water if his bowl of water is 20 feet away from the stake he is tied to?

A Common Ratio

Compare the ratio of the circumference (C) and the diameter (d) of several circles.

Rationalize Pi

Approximate pi with a rational number.

N-Sided Circle?

Compare the perimeters of polygons to the circumference of a circle.

Wrapping Around the World

How much string is needed to wrap around the world?

Walking Around the World

Compare the distance a man’s head travels to the distance his feet travel when he walks around the world.

Surface Area

Relate the surface area of a sphere to the area of a circle.

Surrounding Squares

Find a method that will construct a square that has the same area as the area of a given circle.

Circle Inscribed in a Semicircle

Compare attributes of a circle that is inscribed in a semicircle to attributes of that semicircle.

Segment Areas

Determine the measure of the central angle of a circle that will make the shaded region’s area 1/ 4 of the entire circle’s area.

Dividing Pizza

Compare slices of pizza from pizzas with different diameters.

Summing Circles

Finding the cumulative area of shrinking circles.

Inscribed Circle

Finding an estimation for the area of a circle.

Target Areas

Determine the area of a target formed by concentric circles.

Dalmatian Day

Cut various circles from paper measuring 9 inches by 12 inches. What’s the area of the circles and the percent of paper wasted after cutting out the circles?