... range across the entire curriculum: problem solving; precise use of mathematical terminology; ratios, fractions, and percents; angles; area and volume; congruence; tessellations; combinatorics; properties of parallel lines; products and factors; conic sections; Euler's formula; logic; proofs; even concepts from calculus such as tangent line approximations to curves or negative curvature in a hyperbolic paraboloid. Origami also abounds with accessible open problems that ... ...

• Word Count: 1525
• Approx Pages: 6
• Has Bibliography

... redirected Newton to the problem of the "path of a body subjected to a centrally directed force that varies as the inverse square of the distance"; he determined it to be an ellipse, and informed Edmond Halley in August 1684. Halley's interest led Newton to write the Principia. "Book I of the Principia states the foundations of the science of mechanics, developing upon them ... ...

• Word Count: 2460
• Approx Pages: 10
• Grade Level: High School