Simple Math Working Models

The Lodestone was a very popular tool of choice for early Mariners. The Lodestone would be the equivalent of today's compasses. “Apparently used by the Olmec in Central America around 1000 B.C. the Lodestone- it is one of the earliest known navigation tools due to its natural magnetic properties, which it gains from being struck by lightning.” “The Chinese used the lodestone compass many years later and so did the early nomadic travelers..”

Make sure to make any adjustments as necessary to make your hanger into a shape of a circle.

Swun Math was originally a professional development company tasked with teaching educational administrators, educators and parents on how to better teach children in lower income areas in Southern California.

Students or civilians take a Compass Test to see where they lie at. Basically the Compass test is used to

there is a point of view angle to establish the area and a high, tall

Step2: Take the end of the string and weave it under the loop created between the first and second loops. Make a “stumbling block” at the thread of every knot. Each of the stumbling blocks should be at the midpoints of the threads. When weaving remember to pull the string tight but not too tight. After you make the first row of the stumbling blocks, continue weaving the string between the new segments while making new stumbling blocks between those. As the circle gets smaller and smaller pull the string tighter and tighter each time. (Feel free to add a few gemstones along your weaving to make a design).

3. Placing your drafting compass point at 0 on the scale and the compass pencil at the proper distance for a seismograph station. Then, place your compass point on the seismograph station and draw a circle around the station. Make sure the circle has a radius equal to the distance between the station and the epicenter.

This course uses transformations and constructions to cover properties of lines, planes, angles, triangles, quadrilaterals, circles, similarity, and congruence. Students will master formal proof and prove statements and theorems using deductive reasoning. This course introduces basic concepts of trigonometry using ratios and proportions. Geometry Honors requires a student to adhere to an accelerated pace of teaching. Freshmen enrolled in this course should complete Algebra 2 Honors, Pre-Calculus, and Calculus before graduation. This course requires a scientific calculator, compass, and straightedge. This course is a full-year, one credit course for grades nine through ten with a prerequisite of a C- or better in Algebra I

The compass might seem like a simple resource, but it actually has a wacky history to it. The compass was actually made for coordinating buildings instead of navigation. It has changed in extreme amounts than before. The compass was even made in a different way and had more than 1 version! Ancient China invented the compass which was used and created in different ways.

Learning to use a compass and straightedge is useful in a variety of ways. Many techniques for constructions are useful in making structures, such as furniture and buildings. We only use a compass and straightedge for constructions, because no other tools are needed. Together, these tools can accomplish most tasks, such as duplication, forming bisectors, angles, shapes, etc. A ruler is not necessary, because you can duplicate a segment without having to know the length. Rather than relying on the assumed length of a segment, a compass and straightedge can be used to perfectly duplicate a segment. A compass an easily form arches and circles. A straightedge and compass are the only items needed to perform constructions.

The item I selected for my Renaissance tool was a 16th century German odometer. An odometer is a tool used for measuring distances. It mainly operated by measuring a rotation of the wheel, and setting up a gear to perform a noticeable action when it is fully rotated and then resets to continue movement. This odometer is a wheel attached to a handle that was created by Christopher Schissler. It is made out of wood and is about 4 feet tall. While from the picture it is unclear how the device records distance from the article, we do know what it was used for. In a passage from “Ancient Inventions” a Roman odometer is described as being attached to a vehicle and had a 400 toothed gear attached to the wheel to record the distance of long trips

Using a compass and straightedge is the most practical way to construct geometric figures. When Geometry first became a system of mathematics around 300BC Euclid, also known as “The Father of Geometry” would have used tools like a compass and straight edge to make Geometric constructions. To truly understand Mathematics in its entirety it is crucial that we also know the history and where it began. By using a compass and straightedge rather than a drawing program students have the opportunity to understand fully how Euclid and other ancient mathematicians made Geometric constructions. To some using a compass and straightedge may seem old fashioned, but just as we do not use calculators to solve all arithmetic, computerized programs should not

What I know about this topic is that it requires time, knowledge, and air-dry clay. Tools are recommended, but not needed, depending on the scale of the figure.

It turns out that all constructions possible with a compass and straightedge can be done with a compass alone, as long as a line is considered constructed when its two endpoints are located. The reverse is also true, since Jacob Steiner showed that all constructions possible with straightedge and compass can be done using only a straightedge, as long as a fixed circle and its center (or two intersecting circles without their centers, or three nonintersecting circles) have been drawn beforehand. Such a construction is known as a Steiner construction.

No one today is sure how Pythagoras himself proved the Pythagorean Theorem because he never allowed anyone to record his teachings in writing. Most likely, like most ancient proofs of the Pythagorean Theorem, it was geometrical in nature. The Pythagoreans knew that any triangle whose sides were in the ratio 3:4:5 was a right-angled triangle. But, they had a desire to find mathematical of all things led them to prove the geometric theorem. Although the Egyptians were the first to discover the theorem, Pythagoras was the first to prove it.