Product Description List Price
A Mathematical High Point - Poster
a MATHEMATICAL HIGH point
has 101 floors above ground and five floors below. It was the first building in the world to be taller than half a kilometer and, from 2004 to 2010, it was the tallest building in the world. Taipei 101 set several records, including having the world’s fastest elevator.
Using the building statistics given on the poster, challenge your students to calculate how far they can see from the top; how long it would take for the elevator to go from the ground floor to the 89th floor; or find the angle of depression from a particular spot on the roof. (Solutions provided)
TAIPEI 101 $12.95
Patterns That Rock - Poster
PATTERS that rock
arise as solutions to many problems. The basic pattern that makes up almost every rock song ever recorded can be summed by saying, “1 and 2 and 3 and 4.” Musicians often say, “a 1 plus a 2 plus a 3 plus a 4,” which shows how to calculate the sequence of triangular numbers 1, 3, 6, 10, 15, 21, 36, 45, 55, 66, .... TRIANGULAR NUMBERS
Investigate triangular numbers, in particular, triangular numbers that are also perfect squares. Featured problems include finding the intersection of these two sets of numbers. (Solutions provided.)
Math Meets Art Poster
MATH meets ART
At first glance, James Yamada’s Our Starry Night, is a black, 12-foot-tall sculpture with 1900 unlit colored LED lights on its two flat surfaces. As one passes through the sculpture’s rectangular passageway, however, patterns of light appear triggered by a metal detector hidden inside the structure’s casing. STARRY NIGHT
Have your students seeing stars as they explore combinatorics, ellipses, matrices, and parametric equations stemming from this investigation of a publicly displayed sculpture featuring geometric star shapes. (Solutions provided.)
Time for Math Poster
TIME for MATH
are divided into 24 hours and display the time since midnight, which is when the day begins. What would our lives be like if there were fewer or more than 24 hours in a day? Students will enjoy playing with this and other ideas generated by analog clocks. (Solutions provided.)
24-HOUR CIRCULAR CLOCKS $12.95
Isn't Math Illuminating Poster
are everywhere, even on the logo of Grand Central Terminal in New York City. The mathematics contained in this poster ranges from circumferences of circles, to frustums of cones, to ellipses, all found in the trappings of Grand Central Station. Ain't math grand? (Solutions provided.)
CIRCLES AND ELLIPSES $12.95
A Slice of Math Poster
A SLICE of MATH
is a technique often used in design to add beauty to an object that might otherwise be nondescript. TRUNCATING A CYLINDER
What happens when a cylinder gets truncated? Featured problems explore the situations that can arise when a plane intersects a cylinder. (Solutions provided.)
Star Dancers - Poster
A can be thought of as the set of points formed by connecting the vertices of a regular polygon in a special manner. This poster explores star polygons and discovers some of their properties, arriving at some interesting generalizations. Problems include proving the radian measure of the sum of the interior angles of a given star polygon; making a table that organizes information about the radian measure of interior star polygon angles; and whether or not it is possible to create a human hexagram, heptagram, or octagram. (Solutions provided.)
STAR POLYGON $12.95
I ♥ Parabola - Poster
PARABOLA Bridges are physical manifestations of a parabola. The height-versustime graph of falling objects at or near the center of the earth can be modeled by a parabola as well. It is usually the first nonlinear curve that students study in algebra. A parabola can be defined as the locus of points equidistant from a point (called the focus) and a line (called the directrix). The parabola with vertex at the origin and opening upward has the equation 4 py = x2, where p is a constant representing the distance from the focus to the vertex (or the vertex to the directrix).
I ♥ Fibonacci Numbers - Poster
FIBONACCI NUMBERS The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, 21, 34, . . . , where the first two terms in the sequence are each 1 and every successive term is the sum of the two previous terms.
The ratio of successive terms approaches the golden ratio, ø = (1 + √5) / 2 ≈ 1.6803399. Fibonacci numbers occur often in nature, in particular in phyllotaxy, the study of leaf arrangement on a stem. The spirals on sunflower seed heads, on pineapples, and in pine cones are invariably Fibonacci numbers or multiples of Fibonacci numbers.
I ♥ Logarithmic Spirals - Poster
LOGARITHMIC SPIRAL The logarithmic spiral is a polar curve whose equation is given by r = a e , where bθ a and b are constants.
The nautilus shell is the best-known example of the logarithmic spiral found in nature, but flying animals will approach targets by using a logarithmic spiral pattern. Raptors will hawk prey, swifts will attack insects, and insects will approach a light source via a logarithmic spiral. Beaches can form in the shape of a logarithmic spiral, and the arms of tropical storms can also model this shape. The logarithmic spiral has close connections to the golden ratio.